how do i solve this question, anyone help

Answer: About (-2.414, 0) and (0.414, 0)

Step-by-step explanation:

       Let us graph the equation given and see what the x-intercepts are. These are points where the line intercepts the x-axis. See attached.

       This means our x-intercepts are at about (-2.414, 0) and (0.414, 0).

                        These are also equal to [tex]-1-\sqrt{2}[/tex] and  [tex]-1+\sqrt{2}[/tex]

Answer:

[tex]x = \bold{0.414} \textrm{ and } x= \bold{-2.414}[/tex]

Step-by-step explanation:

See attached graph for a visual

The x-intercepts of a graph are where the graph crosses the x-axis ie where the value of y = 0 The equation of the graph is y=-x^{2}-2x+1

Setting y = 0 and solving for the resultant equation will provide the x-intercepts

[tex]0=-x^{2}-2x+1or-x^{2}-2x+1=0[/tex]

Reversing the signs gives us

[tex]x^{2}+2x-1=0[/tex]

This is a quadratic equation of the form [tex]ax^{2}+bx+c=0[/tex] with a = 1, b = 2 and c=-1

For an equation of this form the roots of the equation ie the values of x which satisfy the equation are given by

[tex]\frac{-b\pm\sqrt{{b^{2}-4ac}}}{2a}[/tex]

Substituting we get the two roots as

[tex]x=\frac{-2\pm\sqrt{{2^{2}-4(1)(-1}}}{2}=\frac{-2\pm\sqrt{{4-(-4)}}}{2}x=\frac{-2\pm\sqrt{8}}{2}8 = 4(2)\sqrt{8}=\sqrt{4}\sqrt{2} = 2\sqrt{2}[/tex]

So the two roots are

[tex]x=\frac{-2\pm2\sqrt{2}}{2}[/tex]

Dividing by 2 we get the two roots(x-intercepts) as

[tex]x=-1\pm\sqrt{2}\\\\x_{1}=-1+\sqrt{2} =-1+1.414=\bold{0.414}[/tex]

[tex]x_{2}=-1-\sqrt{2}=-1-1.414=\boldsymbol{-2.414}[/tex]

The taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 [tex](x+4)^{2}[/tex]/2!+...........

Given a function f(x)=9/x,a=-4.

We are required to find the taylor series for the function f(x)=8/x centered at the given value of a and a=-4.

The taylor series of a function f(x)=[tex]f(a)+f^{1}(a)(x-a)/1!+ f^{11}(a)(x-a)^{2} /2! +f^{111}(a)(x-a)a^{3}/3!+..........[/tex]

Where the terms in f prime [tex]f^{1}[/tex](a) represent the derivatives of x valued at a.

For the given function.f(x)=8/x and a=-4.

So,f(a)=f(-4)=8/(-4)=-2.

[tex]f^{1}[/tex](a)=[tex]f^{1}[/tex](-4)=-8/([tex]-4)^{2}[/tex]

=-8/16

=-1/2

The series of f(x) is as under:

f(x)=f(-4)+[tex]f^{1}(-4)(x+4)/1!+ f^{11}(-4)(x+4)^{2}/2!.............[/tex]

[tex]=8/(-4)-8/(-4)^{2} (-4)(x+4)/1!+ 24/(-4)^{3} (-4)(x+4)^{2}/2!.............[/tex]

=-2+2(x+4)/1!-24/16 [tex](x+4)^{2}[/tex]/2!+...........

Hence the taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 [tex](x+4)^{2}[/tex]/2!+...........

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The solution is,  U={ keys on a keyboard}, could describe U .

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

Here, we have,

S is a subset of U,

so all of the elements of S must be also elements of U

If U was {letters}, 4, 9, ? would not belong there

If U was {numbers }, x, y, ? would not belong to U

If U was {punctuation marks }, 4, 9, x, y would not be in U

all the elements of S are in U={ keys on a keyboard}

Answer:  U={ keys on a keyboard}, could describe U.

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Answer:

 A. 3x^2y(4x2 + 3xy - y^2)

Step-by-step explanation:

 -12(x^4)y - 9x³y² + 3x²y³

 -3x²y(4x² + 3xy - y²)

Answer:

60

Step-by-step explanation:

Since this angle is unknown, let's just represent it with the variable "x". So the supplement angle of "x" is essentially, the value of the angle that we need to add to "x" to get 180. In other words let's just say that the supplement angle is "y". This means that: [tex]x+y=180[/tex]. If we subtract x from both sides we can represent "y" or the supplement angle as: [tex](180-x)[/tex].

Since it's 660 less than 6 times it's own supplement let's first multiply the supplement by 6

[tex]6(180-x) = 1,080-6x[/tex]

Now let's subtract 660 from it, since it's 660 less

[tex](1,080 - 6x) - (660) = 420 - 6x[/tex]

This value should be equal to the angle, which is represented as "x". So let's set it equal to x

[tex]420-6x=x[/tex]

Add 6x to both sides

[tex]420=7x[/tex]

Divide both sides by 7

[tex]60 = x[/tex]

Answer:

  $1876.31

Step-by-step explanation:

The present value can be found using the compound interest formula.

The formula for the future value of an investment of P earning annual interest rate r compounded n times per year for t years is ...

  FV = P(1 +r/n)^(nt)

Filling in the known values gives ...

  4000 = P(1 +0.085/4)^(4·9) = P(1.02125^36)

Then the amount to be invested is ...

  P = 4000/1.02125^36 ≈ 1876.31

The present value is $1876.31.

Answer:

Simplified: 2x/15 + 5y/8

Step-by-step explanation:

Simplify the expression.

Answer:

Answer: 2x/15 + 5y/8

Step-by-step explanation:

Just Simplify the expression dude.

The desired minimum revenue is $130.

What is revenue?

Revenue, which is determined by multiplying the average sales price by the quantity of units sold, is the money made from regular business operations. The top line (or gross income) figure is what is used to calculate net income by deducting costs. Sales are another name for revenue in the income statement.

Let us assume,

charge = b

customer= c

revenue= r

We know that,

r= bc

⇒ [tex]r=16\times 10[/tex]

⇒ [tex]r=\ 160[/tex]

Also,

[tex]b+1[/tex] ⇒ [tex]c-2[/tex]

with a target of [tex]r \geq 130[/tex]

Therefore,

[tex]b=10+x[/tex] ⇒ [tex]c=16-2x[/tex]

[tex](10+x)(16-2x)\geq 130\\160-20x+16x-2x^2 \geq 130\\-2x^2 -4x+30\geq 0\\x^2+2x-15\leq 0\\(x+1)^2 \leq 4^2\\x+1 \leq 4[/tex]

as negative value is not considered.

[tex]x\leq 3[/tex]

We get the result that [tex]\[/tex]3 is the maximum increase amount.

Therefore, revenue will be:

[tex](10+3)(16-3\times2)=13\times 10\\[/tex]

revenue = [tex]\[/tex]130

Full Question: Noah manages a buffet at a local restaurant. He charges $10 for the buffet. On average, 16 customers choose the buffet as their meal every hour. After surveying several customers, Noah has determined that for every $1 increase in the cost of the buffet, the average number of customers who select the buffet will decrease by 2 per hour. The restaurant owner wants the buffet to maintain a minimum revenue of $130 per hour. Noah wants to model this situation with an inequality and use the model to help him make the best pricing decisions. Assuming that any increase occurs in whole dollar amounts, what is the maximum possible increase that maintains the desired minimum revenue? Explain why this is true.

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Answer:

The desired minimum revenue is $130.

What is revenue?

Revenue, which is determined by multiplying the average sales price by the quantity of units sold, is the money made from regular business operations. The top line (or gross income) figure is what is used to calculate net income by deducting costs. Sales are another name for revenue in the income statement.

Step-by-step explanation:

Worked out for me :)

The lower and upper bounds of h - k are 42.31 and 42.49 respectively.

Upper and lower bounds are the maximum and minimum values that a number could have been before it was rounded. They can also be called limits of accuracy.

The upper and lower bounds can be written using error intervals

The lowest value of h is 47.15

The greatest value of h is 47.24

The greatest value of k is 4.84

The lowest value of k is 4.75

Thus upper bound of h -k = 47.24 - 4.75 = 42.49

Thus lower bound of h -k = 47.15 - 4.84 = 42.31

Thus the lower and upper bounds of h - k are 42.31 and 42.49 respectively.

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Answer: -49152

Step-by-step explanation: the pattern here is that each term is subtracting 3 times its absolute value. Going from -3 to -12 there is a difference of 9 which is 3 times to absolute value of -3. So, the sequence will continue like this : -192, - 768, -3072, - 12288, -49152.

The area of the missing slice is 15 inches ²

From the information given, we can see that the pizza takes the form of a circle;

Area of the missing slice takes the shape of a triangle

Area of a triangle = 1/ 2 base × height

base = 10 inches

height = 3 inches

Area of missing slice = 1/ 2 × 10 × 3

Area = 1/ 2 × 30

Area = 15 inches ²

Thus, the area of the missing slice is 15 inches ²

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The correct description that cab made of these graphs is that  They have the same x- and y-intercepts.

This is the term that is used to describe the behaviors of these functions as they approach infinity.

the y-intercept of a function

This is what is used to tell us the y value when we put x to be = 0

The y-intercept of f(x) is y = -2

The y-intercept of g(x) is y = -2

the x-intercept of a function

It is the value of x when y = 0.

The x-intercept = 2

The x-intercept = 2

Hence statement B is correct. They have the same x- and y-intercepts.

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The transformations that would be used on the blue segment CD to get it to match with the red segment C2D2 is to effect a 180° clockwise rotation, so that C remains at (3, -10) and D assumes (3, -11). Recall that original coordinates were: C (3, -10); D (5, -10).

A transformation is a broad phrase covering four distinct methods of changing the shape and/or location of a point, line, or geometric figure.

The pre-Image is the original shape of the item, and the Image during the transformation is the final shape and location of the object. The following are different types of transformation in math:

The type of transformation that will be used here is called reflection.

D retains it's original coordinates of (5, -10); E goes to (6, -11) and F (6, -10).

The line with the coordinates [(4, -11) and (4, -10) that is EF is parallel to [(3,-11) and (3, -10).

Parallel lines are lines that are always the same width apart in a plane. Parallel lines never cross.

The lines that are perpendicular are: AB with coordinates A(3, -9) & B(3, -11) and CD with coordinates (3, -10) and (5, -10). Lines that intersect each other forming a right angle are called perpendicular lines.

The line segments on the boat that have a slope of zero are:
EF, AB AC, BC.  A line with zero slope is one that has a constant value shown along the y-axis that does not vary over the line's points.

The line segments on the boat that are undefined are:
CD, CF, and DF. The gradient or slope of any vertical line that travels up or down is the undefined slope.

The slope (m) is calculated as:
(Y2-Y1)/(X2 - X1)

Given that:

Y1 = 5

Y2 = 4

X1 = -10

X2 = -11

Hence,
m = (5-4)/(-11 -10)

m = -0.048

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Considering the given box plots, it is found that:

a) They had the same IQR.

b) Athlete A went on the shortest training ride.

c) Athlete B went on more rides longer than 35 miles.

d) Athlete B had a greater median distance.

It is a plot that focuses the interquartile range of the population, which is the difference between the third and the first quartile, but gives a five number summary of the population, composed by these following measures.

Hence, for Athlete A, we have that:

For Athlete B, we have that:

Hence:

a) They had the same IQR.

b) Athlete A went on the shortest training ride.

c) Athlete B went on more rides longer than 35 miles(as it is less than his median).

d) Athlete B had a greater median distance.

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Answer: 80% correct

Step-by-step explanation:

        If Divine got 36 correct and 9 incorrect, then we can find the total number of questions.

                 36 + 9 = 45 questions

        Now, we will divide the number of questions answered correctly by the total number of questions.

                 [tex]\displaystyle \frac{36}{45} =0.8[/tex]

        Lastly, we will multiply it by 100 to find the percentage.

                  0.8 * 100 = 80%

Answer:

80% was correct.

Step-by-step explanation:

The total number of questions is 45 (36 + 9).  The percentage is the part correct over the total.

36/45 = .8.  The answer is given in the decimal form.  To change a decimal to a percent, move the decimal two places to the right.

Vernon Variable ran 43 yards, Reggie Root ran 114 yards, Larry Linear ran 54 yards, and Quentin ran 18 yards.

We are told that the total number of yards the WACO Hawks ran is 229. Thus, we can say that: W = 229

Now, we know that Vernon Variable gained many yards. Thus, the amount of yards will be indicated by "V"

Now, Reggie Root ran for 15 less than three times as many yards as Vernon did. Thus, distance Reggie root ran is represented by;

R = 3V-15

Larry Linear picked up 11 more yards than Vernon’s total. Thus, total yards by Larry Linear is: L = V + 11

Quentin Quadratic ran a total of 18 yards. Thus; Q=18.

Now, all of the player's totals add up make what the total team ran. Thus, the expression is;

V + 3V - 15 + V + 11 + 18 = 229

Simplifying this gives;

5V + 14 = 229

5V + 14 = 229

Subtract 14 from both sides to get;

5V = 215

Divide both sides by 5 to get;

V = 43

Thus, Vernon ran a total of 43 yards.

Total run by Reggie is:

R = 3(43) -15

R = 129 - 15

R = 114 yards.

Total run by Larry:

L = V + 11

L = 43 + 11

L = 54 yards.

Thus, we conclude that Vernon Variable ran 43 yards, Reggie Root ran 114 yards, Larry Linear ran 54 yards, and Quentin ran 18 yards.

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Question 8

Part (a)

The gradient is the coefficient of x after isolating y.

[tex]3x+y=15 \\ \\ y=\boxed{-3}x+15 [/tex]

Part (b)

The line crosses the y-axis when x=0. So, the line crosses tne y-axis at (0,15).

By similar logic, the answers to Question 9 are:

(a) -3

(b) (0, -4.5)

Answer: 254,34 mm².

Step-by-step explanation:

[tex]S{circle}=\pi R^2\\S{circle}=3,14*9^2\\S{circle}=3,14*81\\S{circle}=254,34\ mm^2.[/tex]

Hi :)

Let's first find the area of this circle

For finding the area of a circle we use

[tex]\longrightarrow\sf{A_{\circ}=\pi r^2}[/tex], where only r (radius) is squared

[tex]\textit{We know that :}\begin{cases} \sf{Radius = 9 mm} \\ \sf{\pi =3.14} \end{cases}}[/tex]

Thus

[tex]\longrightarrow\sf{A_{\circ}=3.14\cdot9^2}[/tex]

[tex]\longrightarrow\sf{A_{\circ}=3.14\times81}[/tex]

[tex]\longrightarrow\sf{\underline{A_{\circ}=254.34\: mm}}[/tex]

[tex]\tt{Learn\:More;Work\;Harder}[/tex]

:)

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate, which are the x-axis and y-axis.

By critically observing the graphs (see attachment) of the number of gas-fueled cars that were sold by Roger's car company for the first 8-months since the introduction of electric cars, we can logically deduce that it's much easier to determine the slope of graph A than that of graph B.

This ultimately implies that, it would be best for Roger to use graph A in emphasizing a decrease in the number of gas-fueled cars that were sold.

In conclusion, we can infer and logically deduce that Roger should use graph A for his presentation because the number of gas-fueled cars that were sold appears to decrease on this graph.

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Complete Question:

A car company wants to reduce the use of gas-fueled cars by introducing and promoting the use of electric cars. The graphs below show the number of gas-fueled cars sold, y, for the first eight months since the introduction of electric cars. Both graphs show the same information.

Complete the following sentences.

1. To emphasize the decrease in the number of gas-fueled cars sold, it would be best for Roger to use ______ for his presentation.

2. Roger should use this graph for his presentation because the number of gas-fueled cars sold ______ on this graph.

The amount of interest that Bertha Wooten's deposit will earn in 31 days is $38.59, which is the difference between the future value and the present value.

The future value represents the amount that will be in the account after the present value investment is compounded at an interest rate periodically.

The future value of an investment can be calculated using the future value formula, A = P (1 + i)^n.

Where:

A = future value

P = Present value of investment

i = interest rate

n = number of periods.

The future value of the investment can also be determined using an online finance calculator, as follows.

Then the interest is the difference between the future value and the present value.

Initial deposit = $8,241.78

Interest rate = 5.5% compounded daily

Investment period = 31 days

N (# of periods) = 31 days

I/Y (Interest per year) = 5.5%

PV (Present Value) = $8,241.78

PMT (Periodic Payment) = $0

Results:

FV = $8,280.37

Total Interest $38.59 ($8,280.37 - $8,241.78)

Thus, the amount of interest that Bertha Wooten's deposit will earn in 31 days is $38.59.

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Answer:

The club leader needs $73 for pizzas for 9 students.

Step-by-step explanation:

p(x) = 2x +1

r(x) = 4x − 3

r(p(x)) = 4(2x +1) − 3

r(p(x)) = 8x +4 − 3

r(p(x)) = 8x +1

r(p(9)) = 8(9) +4 − 3

r(p(9)) = 72 +1

r(p(9)) = $73

2/3  is the slope of a line that is perpendicular to the line whose equation is 3x 2y=6.

What is slope?

we can find the slope from the equation that is given buy solving the equation for y

3x+2y = 6

2y = 6-3x

y = 3-3/2x

y = -3/2x+3

now that the equation is in slope-intercept form, we can easily see that the slope of the given line is -3/2

perpendicular lines have slopes that are negative reciprocals, so we can just take the negative reciprocal of the slope we have

-3/2 → 3/2 → 2/3

Therefore, the slope of the perpendicular line is 2/3.

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Answer:

-3

Step-by-step explanation:

(h o k)(2) means

h( k(2)).

Remember when you have a function like f(x) or g(x) or h(x) or k(x), whatever number (or expression) is inside of the parenthesis, they're telling you to use that in place of x.

What h( k(2) ) means is we're going to put k(2) into h.

Well, what's k(2)? We need to find that first. k(x) is given as the oval and arrows thing going on there. If we're looking for k(2) then 2 is being the x. Find 2 in the first oval, follow the arrow to the output which is k(2).

If x = 2, the k(2)= -2

So back to

(h o k)(2):

(h o k)(2)

= h( k(2) )

= h(-2)

Since h(x)= 3/x+1

and x is -2, we'll put -2 in place of x.

h(-2) = 3/-2+1

= 3/-1

= -3

The dart player throws a dart horizontally at a speed of 24.75 m/s.

In this question,

The horizontal distance traveled by the dart, x = 2.5 m

The dart hits the board 5 cm below the height from which it was thrown.

⇒ 5 cm = 0.05 m

Let the time taken by the dart to hit the board is t.

The time taken can be calculated using the Newton's second law of motion,

[tex]y = ut+\frac{1}{2}at^{2}[/tex]

Put, u = 0, a = -g and g = 9.8

On substituting the above values, we get

⇒ [tex]-0.05 = 0-\frac{1}{2}(9.8)t^{2}[/tex]

⇒ [tex]0.05(\frac{2}{9.8}) = t^{2}[/tex]

⇒ [tex]t^{2} =0.0102[/tex]

⇒ [tex]t=\sqrt{0.0102}[/tex]

⇒ t = 0.1010 s

Now, the velocity (speed) can be calculated as

displacement = speed × time

⇒ 2.5 = speed × 0.1010

⇒ speed = [tex]\frac{2.5}{0.1010}[/tex]

⇒ speed = 24.7524 m/s

Hence we can conclude that the dart player throws a dart horizontally at a speed of 24.75 m/s.

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Answer: It will be A Day

Step-by-step explanation:

Answer:

C (Third option)

Step-by-step explanation:

The prime factorization of 675 is 5*5*3*3*3 or 5^2*3^3. With the square root, we take out all square integers, leaving (5*3)(sqrt3). The answer is 15(sqrt3) or C.

Break

Option C

Answer: [tex]\frac{2a+6}{8a}[/tex]

Step-by-step explanation:

[tex]\frac{2(a+3)}{8a}=\frac{2a+6}{8a}[/tex]

Using it's formula, it is found that the monthly payment should be of $688.49 in order to pay off the debt in 15 years.

It is given by:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

In which:

For this problem, the parameters are given as follows:

A = 90000, r = 0.045, n = 15 x 12 = 180.

Hence:

r/12 = 0.045/12 = 0.00375.

Then we solve for A to find the monthly payment, as follows.

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]A = 90000(0.00375)\frac{(1.00375)^{180}}{(1.00375)^{180} - 1}[/tex]

A = $688.49

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