Compare and contrast linear and exponential functions

Mathematics

1 answer:

Mandarinka [93]3 years ago

6 0

Answer:

A linear function is one that is changing at a constant rate as well as it changes. As for a exponential function is one that changes at a rate that's always proportional to the value of the function.

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Suppose that an individual has a body fat percentage of 18.2% and weighs 162 pounds. how many pounds of his weight is made up of

vivado [14]

Answer:

29.5 pounds

Step-by-step explanation:

The amount of his weight made up of fat is his fat percentage times his body weight.

This is 18.2% * 162, which is $\frac{7371}{250}$ or $29\frac{121}{250}$ which is 29.484

Rounded to the nearest tenth (1 decimal place), it is 29.5.

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3 years ago

The expressions below model different possibilities for the area of a pool. Identify which of the following expressions have at

Anna007 [38]

<h3>Answer: Choice B is correct</h3>

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Explanation:

Use a graphing tool like GeoGebra, Desmos, or your graphing calculator to plot each expression given as a separate y equation. Four parabolas should result.

The x intercept is the same as the root or zero of a function.

You should find that only choice B has a root thats larger than 4. That specific root being x = 7.

----------------------------

A non-graphing approach:

You can use the quadratic formula or the factoring method to find the roots.

For choice A, it factors to (x+5)(x+6) = 0. The roots are x = -5 and x = -6 which aren't greater than 4. So we cross choice A off the list. Choices C and D are similar stories.

On the other hand, choice B factors to (x-7)(x+2) = 0 and it has roots of x = 7 and x = -2. This is another way to see why choice B is the answer.

Here are the steps for the quadratic formula for choice B

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-5)\pm\sqrt{(-5)^2-4(1)(-14)}}{2(1)}\\\\x = \frac{5\pm\sqrt{81}}{2}\\\\x = \frac{5\pm9}{2}\\\\x = \frac{5+9}{2} \ \text{ or } \ x = \frac{5-9}{2}\\\\x = \frac{14}{2} \ \text{ or } \ x = \frac{-4}{2}\\\\x = 7 \ \text{ or } \ x = -2\\\\$

The quadratic formula is handy in case factoring is either not possible, or guess-and-check is too lengthy of a process. As you can probably tell, we could use the quadratic formula's results to help construct the factored form.

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3 years ago

Aden has a rectangular garden that is A feet wide and B feet long. If he increases each dimension of the garden by 4 feet, what

alekssr [168]

The only answer I could think of is P=(A+4)+(B+4).

7 0

4 years ago

How do I do this promblem?

Lena [83]

Do u need it in inequality form or are we solving for x

7 0

3 years ago