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3 years ago

Which answer is a solution of the equation?

Mathematics

1 answer:

Nuetrik [128]3 years ago

8 0

2x + y = 5

Put the coordinates of the points to the equation and check it:

A. 5 - not make sense

B. (1, 2) - x = 1, y = 2

2(1) + 2 = 2 + 2 = 4 ≠ 5 NOT

C. (2, -1) - x = 2, y = -1

2(2) + (-1) = 4 - 1 = 2 ≠ 5 NOT

D. (3, -1) - x = 3, y = -1

2(3) + (-1) = 6 - 1 = 5 YES

<h3>Answer: D. (3, -1).</h3>

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Between x=2 and x=3, which function has a greater average rate of change than f(x)=2^x has?

maxonik [38]

Answer: f(3)

Step-by-step explanation:

First find the formula for the rate of change by taking the derivative of 2^x. Let f(x) equal some hypothetical y-value, then take the natural log of both sides.

$y=2^x\\\ln(y)=x \ln(2)$

Implicitly differentiate the left side and take the derivative of the right side

$\frac{y'}{y} =\ln(2)$

Multiply both sides by 'y' which was defined as 2^x

$y'=\ln(2)*2^x$

Plug in x = 2 and x = 3 to see which slope is larger

$y'=\ln(2)*2^2=4\ln(2)\\y'=\ln(2)*2^3=8\ln(2)$

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4 years ago

What is the answer to 1.3 (6.3r - 4.2) = 66.9

liubo4ka [24]

R = 804/91

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3 years ago

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There are 24 people using the gym the ratio of men to women is 2:1 how many men are using the gym?

elixir [45]

I find it easier if you draw out people(not perfectly just make a circle or something) and then circle every 2 people to count for the men. There are 16 men in the gym.

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3 years ago

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Can you help me with this question?

Rufina [12.5K]

Answer:

16.2

Step-by-step explanation:

The angle internal to the triangle at B is the supplement of the one shown, so is 65°. That is equal to the angle internal to the triangle at D. Since the vertical angles at C are congruent, the two triangles are similar by the AA theorem.

Corresponding sides of similar triangles are proportional, so we can write the proportion shown in the attachment:

BC/FC = DC/AC

BC = FC(DC/AC) = 21.6(7.2/9.6)

BC = 16.2 . . . . matches the first choice

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4 years ago