3x^2 + 12x - 96 help please

Answers

Answer 1

Answer:

fully factored form = 3(x-4)(x+8)

Step-by-step explanation:

first you factor 3 out

3(x^2+4x-32)

then factor it

3(x-4)(x+8)

Answer 2

Answer:

3(x-4)(x+8) This is the answer :)

Step-by-step explanation:

3x^2+12x - 96

3(x^2+4x-32)

3(x^2+4x--32)

3(x^2+8x-4x-32)

3(x^2+8x-4x-32)

3(x(x+8)-4(x+8))

3(x(x+8)-4(x+8))

3(x-4)(x+8)

3(x=4)(x+8)


Related Questions

Perform the following mathematical operation, and report the answer tot he correct number of significant figures 0.396/0.5

Answers

Answer:

answer 0.8

Step-by-step explanation:

Solution

0.396 has 3 significant digits

0.5      has 1 significant digit.

Therefore the answer should be 1 significant digit.

0.396 / 0.5 = 0.792

Rounded to 1 sig dig, the answer = 0.8

If 4 out of 7 students at
Johnson High play sports,
about how many of the 504
students at the school play
sports?

Answers

[tex]\frac{4}{7}(504)=\boxed{288}[/tex]

Will mark brainliest

Answers

Using the given definition and [tex]\Delta x=\frac{0-(-2)}n=\frac2n[/tex], we have

[tex]\displaystyle \int_{-2}^0 (7x^2+7x) \,dx = \lim_{n\to\infty} \sum_{i=1}^n \left(7\left(-2+\frac{2i}n\right)^2 + 7\left(-2+\frac{2i}n\right)\right) \frac2n \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac2n \sum_{i=1}^n \left(14 - \frac{42i}n + \frac{28i^2}{n^2}\right)[/tex]

Recall the well-known power sum formulas,

[tex]\displaystyle \sum_{i=1}^n 1 = \underbrace{1 + 1 + 1 + \cdots + 1}_{n\,\rm times} = n[/tex]

[tex]\displaystyle \sum_{i=1}^n i = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2[/tex]

[tex]\displaystyle \sum_{i=1}^n i^2 = 1 + 4 + 9 + \cdots + n^2 = \frac{n(n+1)(2n+1)}6[/tex]

Reducing our sum leads to

[tex]\displaystyle \int_{-2}^0 (7x^2+7x) \,dx = \lim_{n\to\infty} \frac2n \left(\frac{7n}3 - 7 + \frac{14}{3n}\right) = \lim_{n\to\infty} \left(\frac{14}3 - \frac{14}n + \frac{28}{3n^2}\right)[/tex]

As [tex]n[/tex] goes to ∞, the rational terms containing [tex]n[/tex] will converge to 0, and the definite integral converges to

[tex]\displaystyle \int_{-2}^0 (7x^2+7x) \,dx = \boxed{\frac{14}3}[/tex]

What is the equation of the line described below in slope-intercept form?

The line passing through point (-1, 5) and parallel to the line whose equation is x + y = 10

Answers

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]x + y = 10\implies y = -x+10\implies y=\stackrel{\stackrel{m}{\downarrow }}{-1}x+10 \leftarrow \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so, we're really looking for the equation of al ine whose slope is -1 and that passes through (-1 , 5)

[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})\hspace{10em} \stackrel{slope}{m} ~=~ -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-1}( ~~ x-\stackrel{x_1}{(-1) ~~ }) \\\\\\ y-5 = -(x+1)\implies y-5=-x-1\implies y=-x+4[/tex]

A pail holds 3 1/2 gallons of water. How much is this in cups?

Answers

3.5 gallons
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups

3.5 * 4 * 2 * 2 = 56 cups

Find the solution of the system of equations
shown on the graph.

Answers

Answer: (0,6)

Step-by-step explanation:

The solution is where the graphs intersect.

8 ft
10 ft
20 ft
A trapezoid has a height of 10 feet,
and base measurements of 20 feet and
8 feet. What is the area?
[?] square feet
Hint: The formula for the area of a trapezoid is: (b₁b2). h
Enter

15

Answers

The area of the trapezoid is 140 square feet

What are areas?

The area of a shape is the amount of space on that shape

How to determine the area of the trapezoid?

The dimensions of the trapezoid are given as:

Height = 10 feet

Parallel bases = 8 feet and 20 feet

The area of a trapezoid is calculated using

Area = 0.5 * (Sum of parallel bases) * Height

Substitute the known values in the above equation

Area = 0.5 * (8 + 20) * 10

Evaluate the equation

Area = 140

Hence, the area of the trapezoid is 140 square feet

Read more about areas at:

https://brainly.com/question/24487155

#SPJ1

The length and width of a rectangle must have a sum of 60. Find the dimensions of the rectangle that will have the maximum area. [Hint: Let x and 60-x be the length
and width. The area can be described by the function f(x)=x(60-x).]
The length is… and the width is…

Answers

If the sum of the length and width of rectangle is 60 and rectangle is having maximum area then the dimensions are 30 units each.

Given that the sum of length and breadth of rectangle is 60.

We are required to find the dimensions of the rectangle that will have the maximum area. Area is basically how much part of surface is being covered by that particular shape or substance.

Let the length of rectangle be x.

According to question the breadth will be (60-x).----2

Area of rectangle=Length *Breadth

A=x(60-x)

A=60x-[tex]x^{2}[/tex]

Differentiate A with respect to x.

dA/dx=60-2x

Again differentiate with respect to x.

[tex]d^{2} A/dA^{2}[/tex]=-2x

-2x<0

So the area is maximum because x cannot be less than or equal to 0.

Put dA/dx=0

60-2x=0

60=2x

x=30

Put the value of x in 2 to get the breadth.

Breadth=60-x

=60-30

=30

Hence if the sum of the length and width of rectangle is 60 and rectangle is having maximum area then the dimensions are 30 units each.

Learn more about differentiation at https://brainly.com/question/954654

#SPJ1

Determine if the series converges or diverges. If the series converges, find its sum.
9
Σ n(n+3)
n=1


OA. The series diverges.
OB. The series converges to
11
2
7
OC. The series converges to
2
D. The series converges
15
-
2

Answers

The true statement about the series [tex]\sum\limits^{\infty}_{n=1} \frac{9}{n(n +3)}[/tex] is that (a) the series diverges

How to determine if the series diverges or converges?

The series is given as:

[tex]\sum\limits^{\infty}_{n=1} \frac{9}{n(n +3)}[/tex]

Take the limit of the function to infinity

[tex]\lim_{n \to \infty} \frac{9}{n(n +3)}[/tex]

This gives

[tex]\lim_{n \to \infty} \frac{9}{n(n +3)} = \frac{9}{\infty * (\infty +3)}[/tex]

Evaluate the sum

[tex]\lim_{n \to \infty} \frac{9}{n(n +3)} = \frac{9}{\infty * \infty}[/tex]

Evaluate the product

[tex]\lim_{n \to \infty} \frac{9}{n(n +3)} = \frac{9}{\infty}[/tex]

Evaluate the quotient

[tex]\lim_{n \to \infty} \frac{9}{n(n +3)} = 0[/tex]

Since the limit is 0, then it means that the series diverges

Hence, the true statement about the series [tex]\sum\limits^{\infty}_{n=1} \frac{9}{n(n +3)}[/tex] is that (a) the series diverges

Read more about series at:

https://brainly.com/question/337693

#SPJ1

Answer:

B. The series converges to [tex]\displaystyle{\frac{11}{2}}[/tex].

Step-by-step explanation:

Before evaluating the infinite series, the expression can be decomposed as the sum of two fractions (partial fraction decomposition) as follows.

Let [tex]\textit{A}[/tex] and [tex]\textit{B}[/tex] be constants such that

                                       [tex]{\displaystyle{\frac{9}{n\left(n+3\right)}}}} \ \ = \ \ \displaystyle{\frac{A}{n} \ \ \ + \ \ \frac{B}{n+3}}[/tex]

Multiply both sides of the equation by the denominator of the left fraction,

[tex]n\left(n+3\right)[/tex], yielding

                                              [tex]9 \ \ = \ \ A\left(n+3\right) \ \ + \ \ B \-\hspace{0.045cm} n[/tex]

Now, let [tex]n \ = \ 0[/tex], thus

                                             [tex]\-\hspace{0.2cm} 9 \ \ = \ \ A\left(0 + 3\right) \ + \ B\left(0\right) \\ \\ 3 \-\hspace{0.035cm} A \ = \ \ 9 \\ \\ \-\hspace{0.11cm} A \ \ = \ \ 3[/tex].

Likewise, let [tex]n \ = \ -3[/tex], then

                                            [tex]\-\hspace{0.5cm} 9 \ \ = \ \ A\left(-3 + 3\right) \ + \ B\left(-3\right) \\ \\ -3 \-\hspace{0.035cm} B \ = \ \ 9 \\ \\ \-\hspace{0.44cm} B \ \ = \ \ -3[/tex]

Hence,

                                       [tex]\displaystyle{\sum_{n=1}^{\infty} {\frac{9}{n\left(n+3\right)}}} \ = \ \displaystyle\sum_{n=1}^{\infty} \left(\frac{3}{n} \ - \ \frac{3}{n+3}\right)[/tex].

First and foremost, write the nth partial sum (first nth terms) of the series,

          [tex]\displaystyle\sum_{n=1}^{n} \left(\frac{3}{n} \ - \ \frac{3}{n+3}\right) \ \ = \ \-\hspace{0.33cm} \displaytstyle{\frac{3}{1} \ - \frac{3}{4} + \ \frac{3}{2} \ - \frac{3}{5} \ + \frac{3}{3} \ - \frac{3}{6} \ + \frac{3}{4} \ - \frac{3}{7}} \\ \\ \\ \-\hspace{3.58cm} + \ \displaystyle{\frac{3}{5} \ - \ \frac{3}{8} \ + \ \frac{3}{6} \ - \ \frac{3}{9} \ + \ \frac{3}{7} \ - \ \frac{3}{10}} \\ \\ \\ \-\hspace{3.58cm} + \ \ \dots[/tex]

                                                [tex]+ \ \ \displaystyle{\frac{3}{n-3} \ - \ \frac{3}{n} \ + \ \frac{3}{n-2} \ - \ \frac{3}{n+1}} \\ \\ \\ \ + \ \frac{3}{n-1} \ - \ \frac{3}{n+2} \ + \ \frac{3}{n} - \ \frac{3}{n+3}}[/tex].

Notice that the expression forms a telescoping sum where subsequent terms cancel each other, leaving only

        [tex]\displaystyle\sum_{n=1}^{n} \left(\frac{3}{n} \ - \ \frac{3}{n+3}\right) \ \ = \ \-\hspace{0.33cm} \displaytstyle{\frac{3}{1} \ + \ \frac{3}{2} \ + \frac{3}{3} \ - \ \frac{3}{n+1}} - \ \frac{3}{n+2} \ - \ \frac{3}{n+3}}}[/tex].

To determine if this infinite series converges or diverges, evaluate the limit of the nth partial sum as [tex]n \ \rightarrow \ \infty[/tex],

         [tex]\displaystyle\sum_{n=1}^{\infty} \left(\frac{3}{n} \ - \ \frac{3}{n+3}\right) \ \ = \ \-\hspace{0.33cm} \lim_{n \to \infty} \left(\displaytstyle{\frac{11}{2} \ - \ \frac{3}{n+1} \ - \ \frac{3}{n+2} \ + \ - \ \frac{3}{n+3}\right) \\ \\ \\ \-\hspace{3.25cm} = \ \ \ \displaystyle{\frac{11}{2} \ - \ 0 \ - \ 0 \ - \ 0} \\ \\ \\ \-\hspace{3.25cm} = \ \ \ \displaystyle{\frac{11}{2}[/tex]

Which of the following statements is equivalent to 10x – 30? 10(x – 30) 10(x – 3) 10 + (x – 20) 10(x – 20)

Answers

Answer:

10(x-3) is equivalent to 10x – 30

Step-by-step explanation:

First you have to take everything of out the parentheses and then simplify if needed.  

10(x – 30) is not equivalent to 10x – 30 because, 10 times x is 10x, but 10 times 30 is 300. So, 10(x – 30) is not equivalent to 10x – 30.

10(x – 3) is equivalent to 10x – 30 because, 10 times x is 10x, and 10 times 3 is 30. So, 10(x – 3) is equivalent to 10x – 30.

10 + (x – 20) is not equivalent to 10x – 30 because, 10 minis 20 plus x are -10 + x. So, 10+(x – 20) is not equivalent to 10x – 30.

10(x – 20) is not equivalent to 10x – 30 because, 10 times x is 10x, but 10 times 20 is 200. So, 10(x – 20) is not equivalent to 10x – 30.

Answer: 10(x-3) is equivalent to 10x – 30

Solve the inequality for x.
OA.
X S
5- 2/2 x ²
x 2
28
OB. x ≤ 7
OC.
28
9
OD. x ≥ 7

Answers

The solution to the inequality x-13<=7+4x is x >= -20/3

How to solve the inequality?

The inequality expression is given as:

x-13<=7+4x

Add 13 to both sides of the inequality

x <= 20 + 4x

Subtract 4x from both sides of the inequality

-3x <= 20

Divide both sides of the inequality by -3

x >= -20/3

Hence, the solution to the inequality x-13<=7+4x is x >= -20/3

Read more about inequality at:

https://brainly.com/question/25275758

#SPJ1

Complete question

Solve the inequality for x

x-13<=7+4x

Melissa is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x represent the number of weeks Melissa has been adding money. Suppose that x and y are related by the equation y = 550+20x.

Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number.
What is the change per week in the amount of money in the account?
What was the starting amount of money in the account?​

Answers

Check the picture below.

Consider the following figure:
The value of a is

Answers

Answer:

125

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.

We can write the following equation according to this information and that will help us find the value of x:

65 + 60 = x add like terms

125 = x is the answer we are looking for.

[tex]\huge\text{Hey there!}[/tex]


[tex]\huge\textsf{equation:}[/tex]

[tex]\large\textsf{a = 60 + 65}[/tex]


[tex]\huge\textsf{solving:}[/tex]

[tex]\large\textsf{a = 60 + 65}[/tex]

[tex]\large\textsf{60 + 65 = a}[/tex]


[tex]\huge\textsf{simplify it:}[/tex]

[tex]\large\textsf{a = 125}[/tex]


[tex]\huge\textsf{therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{a =} \frak{125}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Amanda works as a waitress. She earns $50 a day plus 75% of the tips her customers leave.(The rest of the tips go to the kitchen
staff and bussers.) The table of values represents Amanda's earnings on different days. Write a linear equation that represents
the relationship between earnings and tips.
Tips ($)
20.00
50.00
100.00
Total Earnings ($)
65.00
87.50
125.00

Answers

Earns 75% of tips plus 50 each day
y = earnings, x = total tips
y = 0.75x + 50

Check:

(20,65)
65 = 0.75(20)+50
65 = 15+50
65=65

(50,87.5)
87.5 = 0.75(50)+50
87.5 = 37.5+50
87.5=87.5

(100,125)
125 = 0.75(100)+50
125 = 75+50
125=125

The linear equation that represents the relationship between earnings and tips will be y = 0.75x + 50.

What is a linear equation?

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Working as a waitress is Amanda. She receives $50 every day in addition to 75% of the tips her clients leave.

Let 'x' be the tip amount and 'y' be the total earning.

y = 0.75x + 50

Check:

At (20,65), then we have

65 = 0.75(20)+50

65 = 15+50

65=65

At (50,87.5), then we have

87.5 = 0.75(50)+50

87.5 = 37.5+50

87.5=87.5

At (100,125), then we have

125 = 0.75(100)+50

125 = 75+50

125=125

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Colby needs to wash the windows on the second floor of a building.
He only has a 12 ft ladder and because of dense shrubbery, he hasto put the base of the ladder 5 feet from the building. How many feet above the ground would the windows need to be in order for Colby to reach them with his 12 ft ladder?

Answers

If the length of ladder is 12 feet then the height of windows from the ground is 10.91 feet.

Given that the length of ladder is 12 feet and the base is 5 feet.

We are required to find the height of the windows from the ground.

When we graph all the things like ladder and all that we will get a right angled triangle.

We can find the height of window by using pythagoras theorem.

Pythagoras theorem says that the square of the hypotenuse is equal to sum of squares of base and perpendicular of right angled triangle.

[tex]H^{2} =P^{2} +B^{2}[/tex]

P=[tex]\sqrt{H^{2} -B^{2} }[/tex]

Height of wall=[tex]\sqrt{12^{2} -5^{2} }[/tex]

=[tex]\sqrt{144-25}[/tex]

=[tex]\sqrt{119}[/tex]

=10.908

After rounding off it will be 10.91 feet.

Hence if the length of ladder is 12 feet then the height of windows from the ground is 10.91 feet.

Learn more about pythagoras theorem at https://brainly.com/question/343682

#SPJ1

I really need your help ASAP!

Answers

Answer:

Option 4

Step-by-step explanation:

See the attached image.

What is the smallest odd number of using 9,3,6,8,1,9​​​​

Answers

Answer: well one is

Bc its the smallest besides zero, but zero is neither odd or even

Step-by-step explanation:

CAN SOMEONE HELP PLEASE!

Answers

Answer:

None of these

Step-by-step explanation:

[tex]\frac{360}{n}=24 \implies n=15[/tex]

This is called a pentadecagon.

The coordinates of point A on a coordinate grid are (−2, −3). Point A is reflected across the y-axis to obtain point B and point A is reflected across the x-axis to obtain point C. What are the coordinates of points B and C?

B(2, 3) and, C(−2, −3)
B(−2, −3) and C(2, 3)
B(2, −3) and C(−2, 3)
B(−2, 3) and C(2, −3)

Answers

Answer:  B(2, -3) and C(-2, 3) which is choice 3

Further Explanation:

The rule for a y-axis reflection is [tex](\text{x}, \text{y}) \to (-\text{x}, \text{y})[/tex] meaning the x coordinate flips from positive to negative, or vice versa. The y coordinate stays the same.

Therefore, point A(-2,-3) moves to B(2, -3) when reflecting over the y-axis.

A similar rule is [tex](\text{x}, \text{y}) \to (\text{x}, -\text{y})[/tex] to describe an x-axis reflection. This time the y coordinate flips in sign, and the x coordinate stays the same.

In this case, we move from A(-2,-3) to C(-2, 3)

The graph of all three points is shown below. I used GeoGebra to make the graph, but Desmos is another option. I also recommend graphing by hand on graph paper to get practice that way if possible.

if a rectangular piece of metal has 27.75 square inches what is the length and width?

Answers

We cannot get further information about the dimensions of the piece since the number of variables is greater than the number of equations.

What are the dimensions of a rectangular piece of metal?

By geometry we know that the area of the piece of metal is equal to the product of its length and width, then we must find two real numbers such that:

l · w = 27.75, where l, w > 0.

Unfortunately, we cannot get further information about the dimensions of the piece since the number of variables is greater than the number of equations. We need at least one equation to find an unique solution.

To learn more on rectangles: https://brainly.com/question/15019502

#SPJ1

Brandon enters bike races. He bikes 91 half miles every1 half hour. Complete the table to find how far Brandon bikes for each time interval.

Help,

Answers

Using proportions, it is found that he bikes:

19 miles in one hour.28.5 miles in one and a hour.38 miles in two hours.47.5 miles in two and a hours.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In this problem, the proportion is that he bikes 9.5 miles each half hour, hence:

In one hour, he bikes 2 x 9.5 = 19 miles.In one and a half hour, he bikes 3 x 9.5 = 28.5 miles.In two hours, 4 x 9.5 = 38 miles.In two and a half hours, he bikes 5 x 9.5 = 47.5 miles.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

what is the solution I need help

Answers

Since Hassan's estimation is between 0.4 and 0.5, hence the Hassan is incorrect because √0.15 is  less than 0.4

Square root of numbers

The square root of numbers is is expressed using the square root sign. In order to determine the square root os 0.15 given, we need need to determine the square of perfect square before and after the given number.

For the square root of √0.09

√0.09 = 0.3

Similarly for the square root of √0.16

√0.16 = 0.4

Since the resulting value is 0.3 and 0.4, hence the square root of 0.15 must be between these two values on the number line.

Since Hassan's estimation is between 0.4 and 0.5, hence the Hassan is incorrect because √0.15 is  less than 0.4

Learn more on square root of decimal here: https://brainly.com/question/16694048

#SPJ1

1+r+r²+...........+r^n+1=1-r^n/1-r​

mathematical induction mesthod

Answers

Answer + Step-by-step explanation:

the correct question:

For r ≠ 1 ,Prove using the mathematical induction method that :

[tex]1+\cdots+r^n =\frac{1-r^{n+1}}{1-r}[/tex]

………………………………………………………………………………………………………………

for n = 0 :

1⁰ = 1  and  (1 - r⁰⁺¹)/(1 - r) = (1 - r)/(1 - r) = 1

Then the property is true for n = 0.

For n ≥ 0 :

Suppose

[tex]1+\cdots+r^n =\frac{1-r^{n+1}}{1-r}[/tex]

And prove that

[tex]1+\cdots+r^{n+1} =\frac{1-r^{n+2}}{1-r}[/tex]

Since :

[tex]1+\cdots+r^{n+1} =(1+\cdots+r^n)+r^{n+1}[/tex]

Then

[tex]1+\cdots+r^n+r^{n+1} =\frac{1-r^{n+1}}{1-r}+r^{n+1}[/tex]

[tex]= \frac{1-r^{n+1}+r^{n+1}(1-r)}{1-r}[/tex]

[tex]= \frac{1-r^{n+2}}{1-r}[/tex]

Then according to the mathematical induction method

[tex]1+\cdots+r^n =\frac{1-r^{n+1}}{1-r}[/tex]

Where n is a natural number and r ≠ 1.

Line passes through the point (8,4) and a slope of 5/4. Write equation in slope-intercept

Answers

Answer:

Step-by-step explanation:

y - 4 = 5/4(x - 8)

y - 4 = 5/4x - 10

y = 5/4x - 6

F(v) =2x if g(x)=5x then f(g(x)

Answers

Answer:

10x

Step-by-step explanation:

g(x)=5x

f(x)=2x

f(g(x))=f(5x)

f(g(x))=2*5x=10x

which theorem can be used to show that LJKL is the same as LMNP
a. AA similarity
b. SSS similarity
c. ASA similarity
d. SAS similarity

Answers

Answer is a. AA Similarity
Reason

In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar . (you can find the congruent missing angles using the Angle Sum Theorem, all three angles add up to 180.)

Note: SSS is three congruent sides, ASA is angle side angle congruent with an included side and SAS is side angle side, none of these are true for this figure

Please help! Which linear system has this matrix of constants? `[[12],[11],[4]]` A, B, C, or D
IMAGE ATTACHED

Answers

Check the picture below.

need heeeelp please ​

Answers

Answer:

[tex]\dfrac{3x+6}{x^2+x-6}[/tex]

Step-by-step explanation:

Notice that we can factor the expression [tex]x^2-x-2[/tex] as [tex](x-2)(x+1)[/tex]. Similarly, we can express [tex]3x+3[/tex] as [tex]3(x+1)[/tex]. Now, we can multiply the fraction together as [tex]\dfrac{(x+2)(3)(x+1)}{(x-2)(x+1)(x+3)} = \dfrac{3(x+2)}{(x-2)(x+3)} = \boxed{\dfrac{3x+6}{x^2+x-6}}[/tex].

Simplify [tex]\frac{6a^2 b^-^2}{8a^-^3 b^3}[/tex] Assume a≠0 and b≠0

Answers

Answer:

sorry i thought i knew it

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

using the rules of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] : nm > n

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]\frac{1}{a^{(n-m)} }[/tex] : n > m

[tex]\frac{6a^2b^{-2} }{8a^{-3b^3} }[/tex] ← separate the variables

= [tex]\frac{6}{8}[/tex] × [tex]\frac{a^2}{a^{-3} }[/tex] × [tex]\frac{b^{-2} }{b^3}[/tex]

= [tex]\frac{3}{4}[/tex] × [tex]a^{2-(-3)}[/tex] × [tex]\frac{1}{b^{3-(-2)} }[/tex]

= [tex]\frac{3}{4}[/tex] × [tex]a^{2+3}[/tex] × [tex]\frac{1}{b^{3+2} }[/tex]

= [tex]\frac{3}{4}[/tex] × [tex]a^{5}[/tex] × [tex]\frac{1}{b^{5} }[/tex]

= [tex]\frac{3a^{5} }{4b^{5} }[/tex]

2. What is the value of x? Show your work.


can someone explain this to me? how would I find X? Thank you in advance!​

Answers

Answer:

7

Step-by-step explanation:

→ Find the scale factor

30 ÷ 25 = 1.2

→ Multiply answer by 20

20 × 1.2 = 24

→ Equate equation to 24

4x - 4 = 24

→ Add 4 to both sides

4x = 28

→ Divide both sides by 4

x = 7

Other Questions
If a woman gains 30 pounds during pregnancy, the net amount of body fat she gains is about _____. Sam entered into a contract with a travel agent for a holiday for himself, his wife and his children. The holiday was a total disappointment. The resort that the Jacksons had booked into was not available and the hotel they stayed in did not match the description given it did not have the promised facilities, it was dirty and it had mildew and fungus growing on the walls. Sams wife was very angry and decided to sue the travel agent for refunds, although Sam was reluctant even though he entered into the contract with the travel agent on behalf of the family. What would be the courts possible verdict on Sams wife claiming for refunds? (Sequences and Summations) How would you solve this? Please give an explanation rather than just answering the question. The amount of unexplained variance in a relationship between two variables is called? Discuss how the play demonstrates that deaden on a is subject to patriarchal domination in her social What happens when you sharpen colored pencils too many times and you get a welt on your finger _______ or deceptive love is whirlwind love; it begins the day a couple meets and quickly results in cohabitation or engagement, then marriage. b. How6. An astronaut on the moon throws a wrench straight up with a speed of 4.0m/s. Threeseconds later, it is falling down with a speed of 0.80m/s.a.What is the acceleration of the wrench?b.How far above the point of release will the wrench be after 3.0s?C.How long would it take for the wrench to return to its starting position? (05.04 MC) You have an e-pal from Guatemala Her name is Penelope and you have received an email from her. The last question in the email is: Cmo es tu familia? You will respond to Penelope in Spanish, by answering her question and then asking her a question. Follow these instructions to answer the question: You may copy and paste the accented and special characters from this list if needed: , , , , , , , , , , , , , , . *Note: The sample sentences/questions in parentheses are just a guide to help you form your sentences/questions. You must come up with your own original answers keeping academic integrity intact. Choose two of your family members that have physical and personality traits in common. Describe them in one sentence. (e.g., My grandparents are old and loving.) Use adjectives (tall, short, funny, nice, or other adjectives learned from the lesson). Use possessive adjectives (my, your, his/her, etc.) in your description and your question. Then, ask one question in Spanish about a member of your e-pal's family. (e.g., How old is your dad? or What are your parents like?) Donie, ceo of a multinational tourism and leisure company, is researching cross-country differences in demographic, cultural, and market conditions. she would not likely discover that:________ Acid rain is an example of ________ deposition. photochemical industrial dry wet aerosol. Need done!! Please helpp What are the chemical changes that occur in your blood that will potentially stimulate an increase in ventilation during and shortly after exercise? Commitment to a set of values that guide one's actions is indicative of the _____ dimension of health. What forms of water will be present in a 1. 0 l flask at 303 k containing a visible amount of liquid water (the vapor pressure of water at 303 k is 31. 8 mmhg)? If ph term of A.P. is q and qth term is p, then (p+q) term is?? Let f(x)=x+kx+4 and g(x)=x+x+kx+2k, where k is a real constant.Find the values of k such that the graph of f and the graph of g only intersect once. please help me with this A large bakery buys flour in 20-pound bags. The bakery uses an average of 1050 bags a year. Preparing an order and receiving a shipment of flour involves a cost of $15 per order. Annual Carrying costs are $ 55 per bag. a) Determine the economic order quantity? b) What is the average number of bags on-hand? c) How many orders per year will there be? d) Compute the total cost of ordering and carrying flour? e) If holding costs were to increase by $5 per year, how much would the minimum total annual cost? In which place, in 1969, did all the positive forces of the counterculture come together to celebrate peace, love, and freedom?