3 years ago

Somebody help me with these 3.

Mathematics

2 answers:

Marina CMI [18]3 years ago

8 0

Answer:6 ture 7 false 8 true Step-by-step explanation:

Setler79 [48]3 years ago

7 0

The answers you have selected i believe are correct

Step-by-step explanation:

6) True

7) False

8) True

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Solve for x: ( sqrt 7) ^ 6x = 49 ^ (x-6)

LiRa [457]

$(\sqrt{7})^{6x}=49^{x-6} \\
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7^{3x}=7^{2x-12} \\
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3 years ago

P^3×q^2(p^4×q^n×r^3/r^-4)=p^7q^5r^7 <br><br> What does n=

Juli2301 [7.4K]

Answer:

$n = 3$

Step-by-step explanation:

Given:

The equation given is:

$p^3q^2(p^4q^n\times \frac{r^3}{r^{-4}})=p^7q^5r^7$

We simplify the given equation using the following law of indices:

$a^m\times a^n=a^{m+n}\\\frac{a^m}{a^n}=a^{m-n}$

Therefore,

$p^{3+4}q^{n+2}\times r^{3-(-4)})=p^7q^5r^7\\p^7q^{n+2}r^7=p^7q^5r^7\\q^{n+2}=q^5$

Since the base on both the sides is same, therefore, their exponents must also be same. This gives,

$n+2=5\\n=5-2\\n=3$

Therefore, the value of 'n' is 3.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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andrew-mc [135]

Answer:

Step-by-step explanation:

5 = 2(x - 8) -x

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5 = x - 16

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