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Kryger [21]
2 years ago
13

PLEASE HELP!!!if the unit rate for the line B is 7meters/seconds , which if the following is not a possible value for the unit r

ate of A
A.6.3 meters/second
B. 11.2 meters/seconds
C. 10.4 meters/seconds
D. 14 meters/seconds

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
4 0

Answer:

The answer is "A", 6.3 meters/second because it is lower than 7 when it is supposed to be higher.

I hope this helped and please mark me as brainliest!

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Talja [164]

Hey!

Let's walk through this together.

Possible Answers: {5, 7, 9, 11, 13}

Let's start with 5.

5-4<8

1<8

So, 5 is CORRECT.

Next, 7.

7-4<8

3<8

So, 7 is CORRECT.

Next, 9.

9-4<8

5<8

So, 9 is CORRECT.

Next, 11.

11-4<8

7<8

So, 11 is CORRECT.

Last, 13.

13-4<8

11<8

So, 13 is INCORRECT.

Your answers are: {5,7,9,11}

So D.

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2 years ago
Expand using the properties and rules for logarithms
malfutka [58]

Consider expression \log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right).

1. Use property

\log_a\dfrac{b}{c}=\log_ab-\log_ac.

Then

\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3x^2-\log_{\frac{1}{2}}2.

2. Use property

\log_abc=\log_ab+\log_ac.

Then

\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3x^2-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+\log_{\frac{1}{2}}x^2-\log_{\frac{1}{2}}2.

3. Use property

\log_ab^k=k\log_ab.

Then

\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3+\log_{\frac{1}{2}}x^2-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{\frac{1}{2}}2.

4. Use property

\log_{a^k}b=\dfrac{1}{k}\log_ab.

Then

\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{2^{-1}}2=\\ \\=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x+\log_22=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x+1.

Answer: correct option is B.

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