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mrs_skeptik [129]
3 years ago
12

1.If x2 = 60, what is the value of x?

Mathematics
1 answer:
artcher [175]3 years ago
5 0
Q1, The answer is <span>B. plus or minus the square root of 60

x</span>² = 60
x = ?

Since a² = -√a or a² = +√a, then
x = -√60 or
x =  +√60


Q2. The answer is <span>C. 2.83 inches

The area of the square (A) with side s is:
A = s</span>²
Since A = 8 in², then s² = 8 in²
s = √8 in² 
s ≈ 2.828 in
s ≈ 2.83


Q3. The answer is <span>D. plus or minus 11
</span>
x² = 121
x² = 11²
Since a² = -√a or a² = +√a, then
x = -√11²      or      x = +√11²
x = -11          or      x = + 11
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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}

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From equation (1),

3a=12

a=4

Therefore, exponential function will be,

y=4(3)^x

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