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3 years ago

Which ordered pair would form a proportional relationship with the point graphed below?

Mathematics

2 answers:

Elan Coil [88]3 years ago

8 0

Answer:

the answer is A

Step-by-step explanation:

Charra [1.4K]3 years ago

7 0

Answer: (–10, 30)

Step-by-step explanation:

Proportional relationship means that as x increases, y increases and as x decreases, y decreases, and the ratio between them is always the same. The graph of the proportional relationship equation is usually a straight line through the origin.

For this (–10, 30) would form a proportional graph with the point below.

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What is the slope of the line whose equation is 3x-4y-16=0

disa [49]

Then 4y = 3x - 16

<span>y = (3/4)x - 4</span>

The slope is 3/4

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3 years ago

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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3 years ago

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alekssr [168]

Answer:

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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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Answer:

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