A company rents out 15 food booths at the country fair. The fr for a food booth is $200 plus $8 per day. The fee for a game booth is $65 plus $7 per day. The fair lasts d days and all the booths are rented for the entire time. Enter a simplified expression for the amount in dollars that the company is paid.

Answer:

The formula of the geometric sequence is a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]

Step-by-step explanation:

The terms of the sequence are 1, -3, 9, -27

∵ -3 ÷ 1 = -3

∵ 9 ÷ -3 = -3

∵ -27 ÷ 9 = -3

∴ There is a common ratio between each two consecutive terms

∴ The sequence is geometric

∵ The formula of the geometric sequence is a[tex]_{n}[/tex] = a [tex]r^{n-1}[/tex], where

∵ The first term is 1

∴ a = 1

∵ The common ratio is -3

∴ r = -3

→ Substitute them in the formula above

∵ a[tex]_{n}[/tex] = (1) [tex](-3)^{n-1}[/tex]

∴ a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]

∴ The formula of the geometric sequence is a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]

Hii

(x-2)(x+2)/x(x+5)

=(-4-2)(-4+2)/-4(-4+5)

=(-6)(-2)/-4(1)

=12/-4

=-3

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Answer:

Not sure what is asking,but if it is asking for the equation. Then it is 13/3.

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

take the number of papers and divide it by cost to determine the number of papers/dollar

350/140

(kinda like a fraction, ima just simplify to make it easy to see the answer)

35/14

5/2

2 1/2

Hope This Helps

Answer:

2.5 is the answer

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

1. Use the Pythagorean theorem: a^2+b^2=c^2.

You are already given c (which is always the longest side of the triangle) and one of the legs, which can be either a or b.

2. Put the numbers into the equation and square them.

6^2+b^2=10^2

When you square the numbers, it becomes 36 + b^2 = 100.

3. Subtract 36 from both sides and take the square root of the difference.

b^2 = 64

[tex]\sqrt{64}[/tex] = 8

Answer: 8cm

Step-by-step explanation: Let’s use the Pythagorean Theorem! 6^2+x^2=10^2

36+x^2=100

x^2=64

X=8

Answer:

10.95 for a, b is definitely from a different problem

Step-by-step explanation:

3*3.65=10.95

Answer:

The length of AB is 25.6 mi.

Step-by-step explanation:

You have to apply Sine Rule :

[tex] \frac{AB}{ \sin(90) } = \frac{22.6}{ \sin(62) } [/tex]

[tex]AB = \frac{22.6}{ \sin(62) } \times \sin(90) [/tex]

[tex]AB = 25.6 \: mi \: \: (3s.f)[/tex]

Answer:

c = 0

Step-by-step explanation:

15 – 5(4c – 7) = 50

Expand.

15 - 20c + 35 = 50

Isolate 20c.

-20c = 50-15-35

Evaluate.

-20c = 0

Remove the negative sign.

-20c × (-1) = 0 × (-1)

Two negatives make a positive. Anything multiplied by 0 becomes 0.

20c = 0

Find c.

c = 0 ÷ 20

Evaluate.

c = 0

c = 7/4 is the solution to the equation 15 - 5(4c - 7)

Let's solve the equation step by step:

15 - 5(4c - 7) = 50

First, distribute the -5 to the terms inside the parentheses:

15 - 20c + 35 = 50

Combine like terms:

50 - 20c + 35 = 50

Combine the constant terms:

-20c + 85 = 50

Next, isolate the term with c by subtracting 85 from both sides of the equation:

-20c = 50 - 85

Simplify:

-20c = -35

Finally, divide both sides by -20 to solve for c:

c = (-35) / (-20)

Simplifying the division:

c = 7/4

Therefore, the solution to the equation 15 - 5(4c - 7) = 50 is c = 7/4.

Learn more about algebraic Expression here:

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Answer:

x ≥ 12

Step-by-step explanation:

Given that :

Total points required = 40

1st round point = 4

2nd, 3rd and 4th round points are identical

Let the point number of points = x

2nd + 3rd + 4th = 3

1st round + 3(x) ≥ 40

4 + 3x ≥ 40

3x ≥ 40 - 4

3x ≥ 36

x ≥ 12

Answer:

the first

Step-by-step explanation:

if it's perpendicular so is the gradient so y= -5/6 + 12

*I'm so sorry if I'm wrong

9514 1404 393

Answer:

  A, C

Step-by-step explanation:

The domain is the list of x-values in the table. Choice A correctly lists the domain values.

The range is the list of y-values in the table. Choice B incorrectly describes the domain.

For x = -1, the table tells you f(x) = 6, so f(-1) = 6.

For x = 5, the table tells you f(x) = 12, so f(5) = 12, not -2.

Choices A and C are correct.

Answer:

c = 29km

Step-by-step explanation:

[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]

[tex]20^{2}[/tex] + [tex]21^{2}[/tex] = 841

[tex]\sqrt{841}[/tex] = 29

Answer:

-6/6 = -1

Step-by-step explanation:

y2 - y1                       0 - 6          -6

x2 - x1                       2 - 4           6   simplify and you get -1

Answer:ummm do you have a picture of the question?

Step-by-step explanation:

Answer: x= 7/10

Y= 21/5

Step-by-step explanation:

12 cups= 3 quarts

there ya goo

Answer:

20 cars

Step-by-step explanation:

10,000 ÷ 500 = 20

Answer:

2 cars

Step-by-step explanation:

4,000 + 500 = 4,500 x 2 =10,000

thus its 2 cars

Answer:

The scale factor of the dilation is 2

Step-by-step explanation:

The given vertices the ΔFGH are;

F(2, 1), G(4, 1), and H(4, -1)

The lengths of the sides of the triangle ΔFGH are;

The length of segment FG = √((4 - 2)² + (1 - 1)²) = 2

The length of segment FH = √((4 - 2)² + ((-1) - 1)²) = 2·√2

The length of segment GH = √((4 - 4)² + ((-1) - 1)²) = 2

After a dilation with the center of dilation = (0, 0), to give the ΔF'G'H', we have;

The given vertices the ΔF'G'H' are F'(4, 2), G'(8, 2), H'(8, -2)

The length of segment F'G' = √((8 - 4)² + (2 - 2)²) = 4

The length of segment F'H' = √((8 - 4)² + ((-2) - 2)²) = 4·√2

The length of segment G'H' = √((8 - 8)² + ((-2) - 2)²) = 4

The length of the sides of ΔFGH = 1/2 × The length of the sides of ΔF'G'H' or the length of the sides of ΔF'G'H' = 2 × The length of the sides of ΔFGH

Therefore, the scale factor of the dilation is 2.

Answer:6x^2+100x+150

Step-by-step explanation:

the two triangles are not similar.

Complete question :

Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $53.98 and costs an additional $0.16 per mile driven. How many miles would Tom need to drive for the two plans to cost the same?

Answer:

200 miles

Step-by-step explanation:

Let miles driven = x

First option :

57.98 + 0.14x

Second option :

53.98 + 0.16x

First option = second option

57.98 + 0.14 = 53.98 + 0.16x

57.98 - 53.98 = 0.16x - 0.14x

4 = 0.02x

x = 200

200 miles

Answer:

A. F(x)=x

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

4 x .25 = 1

Answer:

its 4

Step-by-step explanation:

1÷4×100

=25%

(1×100)÷25

=4

Answer:

yes becasue their sides have the same length and angles

Step-by-step explanation:

Answer:

I believe it’s g(k)=(-k- 3)(-k+3)

Step-by-step explanation:

The equivalent function is g(k) = -(k - 3)².

The correct option is A.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

We can start by completing the square of the quadratic function g(k) = -k² + 6k - 9:

g(k) = -(k² - 6k + 9 ) = -(k - 3)²

Option A can be simplified as:

g(k) = -(k - 3)²

Compared with the completed square form of g(k), we can see that option A is equivalent to g(k).

Therefore, the answer is A. g(k) = -(k - 3)²

To learn more about the quadratic function;

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The complete question:

Which function is equivalent to g (k) = -k²+ 6k-9?

A. g(k) = -(k- 3)²

B. g(k) = (-k+ 3)(k+ 3)

C. g(k) = -(k+3)²

D. g(k) = (-k- 3)(–k+ 3)