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3 years ago

6

a meteorologist predicted that there would be 1.0 inches of rainfall from a storm. Instead, there were 2.2 inches of rainfall

1 answer:

Dmitry [639]3 years ago

8 0

Answer:

Is there supposed to be a question or did it get cut off?

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Solve f (x) = 32^x+6•1/2 = 8^x-1

emmainna [20.7K]

Option B: The value of x is -16

Explanation:

Given that the equation $f(x)=32^{x+6} \cdot \frac{1}{2}=8^{x-1}$

We need to determine the value of x.

Let us substitute f(x) = 0, then we have,

$32^{x+6} \cdot \frac{1}{2}=8^{x-1}$

Now, we shall determine the value of x.

The term $8^{x-1}$ can be written as $\left(2^{3}\right)^{x-1}$

Hence, we have,

$32^{x+6} \cdot \frac{1}{2}=\left(2^{3}\right)^{x-1}$

Also, the term $32^{x+6}$ can be written as $\left(2^{5}\right)^{x+6}$

Thus, we have,

$\left(2^{5}\right)^{x+6} \frac{1}{2}=\left(2^{3}\right)^{x-1}$

Applying the exponent rule, $\left(a^{b}\right)^{c}=a^{b c}$ , we have,

$2^{5(x+6)} \cdot \frac{1}{2}=2^{3(x-1)}$

$2^{5(x+6)} \cdot 2^{-1}=2^{3(x-1)}$

If $a^{f(x)}=a^{g(x)}$ then $f(x)=g(x)$

$5(x+6)-1=3(x-1)$

Simplifying, we get,

$5x+30-1=3x-3$

$5x+29=3x-3$

$2x+29=-3$

$2x=-32$

$x=-16$

Therefore, the value of x is -16

Hence, Option B is the correct answer.

6 0

3 years ago

Steven has 2 different spinners. He spun each spinner several times and recorded the results in the tables below.

user100 [1]

I don’t see any statement options to be able to answer this question.

7 0

2 years ago

A set of stickers contain 4 hearts for every 6 stars. Which choice contains an equivalent ratio of hearts to stars

Darya [45]

Answer:

8 and 3

Step-by-step explanation:

8 x 3 is 24

6 x 4 is 24

3 0

3 years ago

Approximate: log5 ^4/7

nata0808 [166]

Answer:

log5 (4/7)= log5 (4)- log5 (7)=-0.347708839

Step-by-step explanation:

for the first question which would be Approximate: log5 4/7 the answer would be B. –0.3477

and for the second question which would be Approximate: log1/2 5 the answer would be C.–2.3219

4 0

3 years ago

Need help figuring out A=

Bogdan [553]

Better labeling so I can understand.

5 0

3 years ago