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3 years ago

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Nancy and her sister went to the store together. After the store, Nancy walked 2 blocks west to get a coffee and her sister walk

ed 7 blocks west back to work. How many blocks is the coffee shop that Nancy went to from her sister's work?

1 answer:

Dima020 [189]3 years ago

8 0

Answer:

5 blocks

Step-by-step explanation:

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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.

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7 bus loads each carrying 35 students arrived at the game joining 23 students who were already there. Evaluate the expression 23

Irina18 [472]

Answer:

268

Step-by-step explanation:

7*35=245

245+23=268

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siniylev [52]

19.75-6.4=13.35
now 13.35-4.36=8.99
the third piece is 8.99 meter long

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If sydney answer 15 questions in the first section correctly what is the minimum number of questions she must have answered corr

Mandarinka [93]

Answer:

8 Is correct on EDGE 2020

Step-by-step explanation:

Just took the test and got it right

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Answer:

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Step-by-step explanation:

4 1/2 plus 6 2/5=10.9

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