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2 years ago

What is the multiplicative rate of change of the exponential function represented in the table? 1.5 2.25 3.0 4.5

Mathematics

2 answers:

Sati [7]2 years ago

8 0

Use the geometric sequence formula to solve for rate:
an=a1r^(n-1)

6.75=4.5r^(2-1)
6.75=4.5r
6.75/4.5=r
r= 1.5
and if you want to make sure just multiply each number by 1.5 and see if it gets you the next number
4.5 4.5×1.5=6.75 (holds true)
6.75 6.75×1.5=10.125 (holds true)
10.125 10.125×1.5=15.1875 (holds true)
15.1875

1.5 is the multiplicatice rate hope that helps :)

Anna11 [10]2 years ago

4 0

1.5 is the rate. Here you go

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lora16 [44]

Answer:

The answer is the option C

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Step-by-step explanation:

we have

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Simplify

$f(x)=9\frac{(x^{2}+x-2)}{3(x+2)}$

$f(x)=3\frac{(x^{2}+x-2)}{(x+2)}$

Step 1

Convert to a factored form the numerator

$x^{2}+x-2=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2}+x=2$

Complete the square. Remember to balance the equation by adding the same constants to each side.

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$x^{2}+x+0.25=2.25$

Rewrite as perfect squares

$(x+0.5)^{2}=2.25$

Square root both sides

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$x=-0.5(+/-)1.5$

$x=-0.5+1.5=1$

$x=-0.5-1.5=-2$

$x^{2}+x-2=(x-1)(x+2)$

Step 2

Simplify the function f(x)

$f(x)=3\frac{(x^{2}+x-2)}{(x+2)}=3\frac{(x-1)(x+2)}{(x+2)}$

The domain of the function f(x) is all real numbers except the number $x=-2$

Because the denominator can not be zero

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$f(x)=3x-3$ ------> with a discontinuity at $x=-2$

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The discontinuity is at point $(-2,-9)$

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Hello,

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Answer:

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Step-by-step explanation:

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| \
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| 16 \
| \
|______\
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