Solve the inequality -24<×-3-8×

1 answer:

7 0

In this question, you are given an equation with < (less than) sign. You can solve this equation and treat the less than sign same as an equal sign. The only difference is when you mirroring the equation or multiplying both sides with minus, which will change the direction of the sign. The calculation should be:
-24 < x-3 -8 x
-24 +3 < x - 8x
-21 < -7x
-21/-7 <x
3 <x
x>3

The answer is D.×>3

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Illene wrapped 5 gifts for her 5 cousins. if she gives them out randomly, what is the probability that every cousin gets the rig

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3 years ago

Which exponential function has the greatest average rate of change over the interval [ 0 , 2 ]

PIT_PIT [208]

The exponential function which has the greatest average rate of change over the interval [0, 2] is option B.

<h3>How to calculate the average rate of change?</h3>

Mathematically, the average rate of change between two (2) points can be calculated by using this expression;

$Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}$

For option A, we have:

when x = 0; when x = 2;

y = 3(1.6)^x y = 3(1.6)^x

y = 3(1.6)^0 y = 3(1.6)^2

y = 3. y = 7.68

ΔA = (7.68 - 3)/(2 -0) = 2.34.

For option B, we have:

ΔA = (9 - 4)/(2 -0) = 2.5.

For option C, the exponential function has a common ratio of 2.

ΔA = 2.

For option D, we have:

ΔA = (10 - 8)/(1 -0) = 2.

In conclusion, we can logically deduce that the exponential function which has the greatest average rate of change over the interval [0, 2] is option B i.e 2.5.

Read more on average rate of change here: brainly.com/question/3493733

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