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Andrew [12]
3 years ago
14

Three-fourths of p is 18

Mathematics
1 answer:
never [62]3 years ago
8 0
<h3><u>The value of p is 24.</u></h3>

3/4p = 18

Multiply both sides by 4.

3p = 72

Divide both sides by 3.

p = 24


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I need algebra help.....
Lubov Fominskaja [6]

Answer:

y=4(3)^x

Step-by-step explanation:

From the table given in the question,

x            y              Difference                  Ratio

1            12                     -                             -

2           36              36-12 = 24              \frac{36}{12}=3

3          108            108-36 = 72             \frac{108}{36}=3

4          324            324-108 = 216        \frac{324}{108}=3

5          972            972-324 = 648      \frac{648}{216}=3

There is a common ratio of 3 in each successive term.

Therefore, data given in the table will represent an exponential function.

y=a(b)^x

For a point (1, 12),

12=a(b)^1

ab=12 ------(1)

For another point of the table (2,36),

36=a(b)^2

ab^2=36 --------(2)

Equation (2) divided by equation (1)

\frac{ab^2}{ab}=\frac{36}{12}

b=3

From equation (1),

3a=12

a=4

Therefore, exponential function will be,

y=4(3)^x

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