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Lina20 [59]
4 years ago
12

This table shows values that represent an exponential function.

Mathematics
2 answers:
Vitek1552 [10]4 years ago
7 0

Answer:

A

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ 2, 4 ], thus

f(b) = f(4) = 16 ← corresponding value of y from table

f(a) = f(2) = 4 ← corresponding value of y from table , thus

average rate of change = \frac{16-4}{4-2} = \frac{12}{2} = 6 → A

kakasveta [241]4 years ago
5 0

Answer:

3

Step-by-step explanation:

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A girl scout was selling boxes of cookies. In a month, she sold both boxes of chocolate chip cookies ($1.25 each) and boxes of p
Katena32 [7]

Answer:

Number of plain cookie boxes sold = 785 boxes

Step-by-step explanation:

Given: Cost of a chocolate chip cookie box = $1.25

Cost of a plain cookie box = $0.75

Total number of boxes sold = 1585

Total cost of the sold boxes = $1588.75

Let, number of plain cookie boxes sold = x

Number of chocolate chip cookie boxes sold = 1585 - x

So,

Total cost = total cost of the sold plain cookie boxes + total cost of the sold chocolate chip cookie boxes

$1588.75 = x ($0.75) + (1585 - x) ($1.25)

1588.75 = 0.75 x + 1981.25 - 1.25 x

0.5 x = 392.5

Therefore,

<u>Number of plain cookie boxes sold: x = 392.5 ÷ 0.5 = 785 boxes</u>

3 0
3 years ago
Read 2 more answers
Perimeter of 40 triangles when the sides are all 1 cm long
Marianna [84]

Answer: 120 cm.

Step-by-step explanation: Each triangle has 3 sides, and each side is 1 cm. Multiply the number of sides for one triangle by the total number of triangles. 3 x 40=120. The perimeter is 120 cm.

7 0
3 years ago
Which two numbers have a mean of 10 and a range of 4
Elden [556K]

Answer:

12 and 8

Step-by-step explanation:

set two numbers as x and y

mean of 10   →   x+y/2=10

range of 4    →   x-y=4

     x+y=20

+    x-y=4

____________

      2x=24, x=12  

      12-y=4, y=8        

6 0
3 years ago
Martine’s town is building a volleyball court based on a scale drawing that is 40cm to 80cm and uses the scale 1cm:22.5cm write
never [62]

Answer:

y=22.5x

Step-by-step explanation:

we have that

The scale drawing is

\frac{1}{22.5}\frac{cm}{cm}

we know that

Using proportion find out the actual dimensions of the volleyball court

Let

x -----> drawing court lengths in cm

y ----> court lengths in cm

For x=40 cm

\frac{1}{22.5}\frac{cm}{cm}=\frac{40}{y}\frac{cm}{cm}\\\\y=40*22.5\\\\y=900\ cm

For x=80 cm

\frac{1}{22.5}\frac{cm}{cm}=\frac{80}{y}\frac{cm}{cm}\\\\y=80*22.5\\\\y=1,800\ cm

Find the equation for the proportional relation ship between drawing court lengths x in centimeters and court lengths in y centimeters

 A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

For x=40 cm, y=900

substitute

k=y/x -----> k=900/40=22.5

The equation is

y=22.5x

5 0
3 years ago
The figure below shows the circle inside of a square if the radius of the circle Is 8cm find the following by showing the formul
Goryan [66]
A. The circumference of the circle:
C = 2 π r = 2 * 3.14 * 8 = 50.24 cm

B. The area of the circle:
A = π r² = 3.14 * 8² = 200.96 cm²

C. The area of the square:
Let's calculate first the side of the square. It is equal to 2r = 2*8=16 cm

The area of the square is:
16*16 = 256 cm²

Hope that helps.
7 0
4 years ago
Read 2 more answers
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