Suppose you set up a function to show how many hot dogs you will purchase for a dinner when you have already bought two packages but must buy more, . What is the domain of this function?

Answer:

20

Step-by-step explanation:

x^2+18x-160

If you put this into your calculator or desmos, you will get a parabola. You want to know the value of x when y=600. You can look at the table for the graph or scan to where y = 600. The value of x is 20 at that point.

To check you can plug 20 in for x. When you do that, y = 600.

Answer:

[tex]20a^2-70a[/tex]

Step-by-step explanation:

1) Expand by distributing terms.

[tex]10\times2a+10a\times-7[/tex]

2) Take out the constants.

[tex](10\times2)aa+10a\times-7[/tex]

3) Simplify [tex]10\times2[/tex] to [tex]20.[/tex]

[tex]20aa+10a\times7[/tex]

4) Use Product Rule:[tex]x^ax^b=x^{a+b}[/tex].

[tex]20a^2+10a\times-7[/tex]

5) Simplify [tex]10a\times-7[/tex] to [tex]-70a.[/tex]

[tex]20a^2-70a[/tex]

Thank you,

Eddie

Answer:

20a² - 70a

Step-by-step explanation:

(10a)(2a-7)

= 10a*2a + 10a*-7

= 20a² - 70a

Answer:

46 and 22

Step-by-step explanation:

let the father b (f) and d son is (s)

so

f=3s.....(1)

(f+10) +(s+10)=68 .... (2)

substitute f=3s in equation (2)

we have

(3s+10)+(s+10)=68

4s+20=68

4s=68-20

4s=48

s=12 .......(3)

substitute (3) in (1)

f=3*12

which f=36

in 10 year time

f+10 =46

s+10=22

The domain of f(x) = √(x - 7) +9 is x ≥ 7 and the range of f(x) = √(x - 7) +9 is y ≥ 9

The function is given as:

f(x) = √(x - 7) +9

Set the radicand greater than or equal to 0

x - 7 ≥ 0

Add 7 to both sides

x ≥ 7

The above represents the domain

Set the radicand to 0

f(x) = 0 +9

So, we have

f(x) = 9

This represents the minimum value of the range.

So, the range is y ≥ 9

Hence, the domain of f(x) = √(x - 7) +9 is x ≥ 7 and the range of f(x) = √(x - 7) +9 is y ≥ 9

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Answer:

Step-by-step explanation:

Its A

Step-by-step explanation:

-3p+6p is 3p

-3 + 6 = 3

So when you simplify the equation you get 3p

Answer:

13cm

Step-by-step explanation:

Given the map scale:

1cm on the map : 4km actual distance

4km actual distance : 1cm on the map

1km actual distance : [tex]\frac{1}{4} =0.25cm[/tex] on the map

Therefore,

52km actual distance = 0.25 * 52 = 13cm

Given the percentage taken off and the reduced price, the original price of the item is $142.

Given the data in the question;

The original price of the item is at 100%, if the 20% is taken off. The price is now at 80%.

Hence 80% of the original price will give the reduced price.

Let the original price be represented by x

80% × x = $113.60

We solve for x

80/100 × x = $113.60

80x/100 = $113.60

Cross multiply

80x = $11360

x = $11360/80

x = $142

Given the percentage taken off and the reduced price, the original price of the item is $142.

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The correct option is B.

5 pound

The number (5.3) after Decimal is <5 so it round off to 5.

It is the same to round a number to one decimal place as to the nearest tenths. At this instance, it is known which numeral is in the hundredths position. When the number in the hundredths place is higher than or equal to 5, the tenths digit is raised by one unit.

A typical rule of thumb is to glance at the digit immediately to the right of the place value you want to round to and make your choice. For instance, rounding 5.1837 to the closest hundredth would result in 5.18 (because 3<5), whereas rounding 5.184 to the nearest thousandth would result in 5.184 (because 7>5).

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I understand that the question your are looking for is:

A scale measured a 4.5-pound brick as weighing 5.3 pounds. which measurement is more accurate but less precise than 5.3 pounds?

A. 4.98 pounds

B. 5 pounds

C. 5.52 pounds

D. 6 pounds

Considering the definition of a right triangle and its properties, the value of the third angle of a triangle with two angles measuring 79 degrees and 23 degrees is 78 degrees.

A triangle is a polygon that is determined by three line segments called sides, or by three non-aligned points called vertices.

In other words, a triangle is a polygon made up of three sides, as well as three vertices and three interior angles.

One of the properties of any triangle is that the sum of the interior angles is equal to 180°.

In this case, you know that:

So the value of the missing angle can be calculated by:

79° + 23° + missing angle = 180°

Solving:

102° + missing angle = 180°

missing angle= 180° - 102°

missing angle= 78°

Finally, the value of the third angle of a triangle with two angles measuring 79 degrees and 23 degrees is 78 degrees.

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Answer:

The answer is 78.

Step-by-step explanation:

Person above is right and I'm also taking the test!!

Answer:

  (b)  96 inches

Step-by-step explanation:

The perimeter of the board is the sum of its four edge lengths.

Each edge of the board is indicated as being 8 squares long. Each square is 3 inches on a side, so the edge of the board is ...

  8 × (3 in) = 24 in . . . . board edge length

The perimeter of the board is 4 times the length of one edge, so is ...

  P =4s = 4(24 in) = 96 in

The perimeter of Edgar's checkerboard is 96 inches.

__

The perimeter of one small square on the board is ...

  P = 4s = 4(3 in) = 12 in

The whole board is a dilation of one square by a factor of 8. Its perimeter will be ...

  P' = (scale factor) × P

  P' = 8×(12 in) = 96 in

The perimeter of Edgar's checkerboard is 96 inches.

Answer:8 feet

Step-by-step explanation:

Explanation:

The area of the circle with radius 10 is...

A = pi*r^2

A = pi*10^2

A = 100pi

The surface area of the sphere with radius 5 is...

SA = 4pi*r^2

SA = 4pi*5^2

SA = 100pi

Both results are the same, so the claim is true. We can think of surface area as the amount of wrapping paper needed to cover the sphere.

the equation that we can solve using the given system of equations is:

3x^5 - 4x^4 - 11x^3 + 2x^2 - 10x + 15 = 0

Here we have the system of equations:

y = 3x^5 - 5x^3 + 2x^2 - 10x + 4

y = 4x^4 + 6x^3 - 11

Notice that both x and y should represent the same thing in both equations, then we could write:

3x^5 - 5x^3 + 2x^2 - 10x + 4 = y = 4x^4 + 6x^3 - 11

If we remove the middle part, we get:

3x^5 - 5x^3 + 2x^2 - 10x + 4  = 4x^4 + 6x^3 - 11

Now, this is an equation that only depends on x.

We can simplify it to get:

3x^5 - 4x^4 - 11x^3 + 2x^2 - 10x + 15 = 0

That is the equation that we can solve using the given system of equations.

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Answer:

7.52 m^3

Step-by-step explanation:

This is like compound interest in a banking calculation

Future volume = 5 (1 + .06)^7 = 7.52 m^3

The discriminant of the given quadratic equation as in the task content can be evaluated by means of the formula; D = b²-4ac and it's value is; 13.

According to the task content, it follows that the quadratic equation whose discriminant is to be determined is; x²-5x+3=0.

By comparison with the standard form equation of a quadratic graph which goes thus; ax²+bx +c = 0, in which case, the determinant is given by the expression; b² - 4ac.

We can consequently evaluate the determinant of the quadratic equation in discuss as follows;

Determinant = b² -4ac = (-5)² - (4×1×3) = 25 - 12

Hence, the determinant in this case is; 13.

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The remaining value will increase by the value of the slope. Hence the remaining missing values are -47, -44, -41, -38 and -35

The slope of a line is the ratio of the rise to run of a line. It is also defined as the rate of change of coordinate y with respect to x. Mathematically;

slope = change in y/change in x

If the slope of the table given is 3, then using the coordinate points (5, -50)and (6, y)

Substitute

3 = y-(-50)/6-5
3 = y+50/1
y+50 = 3

y = -47

The remaining value will increase by the value of the slope. Hence the remaining missing values are -44, -41, -38 and -35

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Answer:

8000/100+80/100=80+0.8=80.8

Step-by-step explanation:

hope this helps (❁´◡`❁)

The curve pass through the y-axis at the coordinate point (0, 10) showing that the y-intercept of the function is (0, 10)

The graph of a polynomial function is a smooth continuous curve. The point where the curve intersects the x-axis is the zero of the polynomial.

A polynomial is also known to have a degree of 3 and above. Hence the given polynomial has a leading degree of 3 and expressed as:

f(x)=−x^3+x^2+9x−9

The graph of the function is as plotted below. From the function, you can see that the curve pass through the y-axis at the coordinate point (0, 10) showing that the y-intercept of the function is (0, 10)

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Answer:

2

Step-by-step explanation:

7+2n = 11

2n = 11-7

2n = 4

n = 4/2

therefore n = 2

There is two of them each getting $16.32

So take the $16.32 × 2=$32.64

GH 13000 is the amount of his sales for that month.

how to find sales of the month?

total income = salary + commission

total income = GH530 (given)

salary = GH200 (given)

Commission is 3% on the sales above Gh2000 (given)

Let sales be x

total income = salary + commission

530 = 200+3%(x-2000)

530-200=0.03(x-2000)

330/.03=x-2000

11000=x-2000

x= 13000

total sales = GH13000

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Answer:2

Step-by-step explanation:

im just guessing

The answers are :

P (Drawing a number < 8) = 1

P (Spinning a 4) = 0

There are only 2 numbers in the bag, 4 and 7, both of which are less than 8. Hence, as it is a sure event, the probability of the event is 1.

There are only 3 numbers on the spinner, 1, 2, and 3. As 4 is not on the spinner, it is an impossible event, hence the probability of the event is 0.

Amount of money earned per number of hours of work =  [tex]f(g(x)) = 6x^{3} + 4[/tex]

To evaluate a composite function f(g(x)) at some x = a, first compute g(a) by substituting x = a in the function g(x). Then substitute g(a) into the function f(x) by substituting x = g(a). In the same way, we can calculate g(f(a)) as well.

Required calculation -

Amount of money (the earning) per unit x = [tex]f(x) = 2x^{2} + 4[/tex]

Number of gallons of ice cream that Barrett makes per hour, where x is the number of hours he works = [tex]g(x) = \sqrt{3x^{3}}[/tex]

we are to find the composite function [tex]f(g(x))[/tex]

Substituting g(x) into the x of f(x), we find:

[tex]f(g(x)) = 2(\sqrt{3x^{3} } )^{2} + 4\\\\= 2(3x^{3} ) + 4\\= 6 x^{3} + 4[/tex]

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Answer:

f(g(x)) = 6x3 + 4 dollars over hour

Step-by-step explanation:

Answer: (2;3).

Step-by-step explanation:

[tex]\displaystyle\\\left \{ {{4x=-3y+17} \atop {3x-4y=-6}} \right. \ \ \ \ \left \{ {{4x+3y=17\ |*4} \atop {3x-4y=-6\ |*3}} \right. \ \ \ \ \left \{ {{16x+12y=68} \atop {9x-12y=-18}} \right. \\Let's\ sum \ up\ these\ equations:\\25x=50\ |:25\\x=2.\\4*2=-3y+17\\8+3y=17\\3y=9\ |:3\\y=3.[/tex]

Answer:

301.5936 cubic ft

Step-by-step explanation:

Formula for the volume of a cylinder is V = pi*r*r*h, where r represents the radius and h represents the height of the cylinder. Since radius is half the length of diameter, the pipe has a radius of 4/2 = 2 ft.

V = pi*r*r*h = 3.1416*2*2*24 = 301.5936 cubic ft

Answer:

[tex]\frac{15x^{4}y^{3}}{5x^{3}} \ \ \text{and }\ -10x^{5}\div 2x^{3}y[/tex]

Step-by-step explanation:

the Quotient of Powers Property :

let a be a number where  a ≠ 0

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

……………………

[tex]\frac{15x^{4}y^{3}}{5x^{3}}[/tex]

[tex]= \frac{3 \times 5x^{3}\times x \times y^{3}}{5x^{3}}[/tex]

[tex]= \frac{3 \times x \times y^{3}}{1}[/tex]

[tex]= 3 x y^{3}[/tex]

=============

[tex]-10x^{5}\div 2x^{3}y[/tex]

[tex]= [-5 \times (2x^{3}) \times x^2] \div [(2x^{3}) \times y][/tex]

[tex]= -5 \times x^2 \div y[/tex]

[tex]= -5 x^2 \div y[/tex]

Answer: A) 23,00

Step-by-step explanation:

A=23,00

B=8,600

C=12,00

D=3,600

Answer:

9:20

Step-by-step explanation:

1kg is 1000g grams and in order to simify we need the units to be equal . 450:1000 would simplify to

45: 100 by divinding both the number by 10 then divide both number by 5 which would give 9: 20

hopefully this helped . if you need any more explanation pls ask

pls give brainliest if you like my answer :) thanks

Answer:

9: 20

Step-by-step explanation:

      1kg × 1000 = 1000g

     450 :  1000g

     450  :  1000

        9: 20

The exponential growth rate is obtained as 0.1099.

Now we know that an exponential function has to do with an exponential increase or decrease. An exponential function could increase or decrease and this means that the constant of the function could be a decay constant or a growth constant.

When we have an exponential function, we have to apply the general formula; P(t) = P(o)e^rt

Po = initial number

P(t) = number at time t

r = rate of growth

t = time taken

Thus;

270=90e^10r

270/90 = e^10r

3 = e^10r

ln3 = 10r

r = ln3/10

r = 0.1099

After 13 hours;

P(t) = 90e^(0.1099 * 13)

P(t) = 376

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