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3 years ago

1. Every day after work Paul took his muddy boots off on the steps of the front porch. What can

Mathematics

1 answer:

natita [175]3 years ago

5 0

Answer:

Step-by-step explanation:

Because his boots are muddy, you can infer the place he goes rains alot, so, his environment for the job is most likely outside, such as the mountains or forests, so the answer is D.

Hope this helped! :D

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The table below represents a linear function f(x) and the equation represents a function g(x):

Novosadov [1.4K]

Part A: The slope of f(x) is three times as great as the slope of g(x).

Part B: The y-intercept of g(x) is 12 larger than the y-intercept of f(x).

In order to find these two answers, you need to find a model for f(x). You can do that by first finding the slope. The formula is below.

slope (m) = (y2 - y1)/(x2 - x1)

In this equation (x1, y1) is the first point and (x2, y2) is a second point. For this purpose, we'll pick (1, 0) and (0, -6)

slope (m) = (-6 - 0)/(0 - 1)

m = -6/-1

m = 6

Now we know that the slope is 6, which is 3 times as great as the first slope. Now to find the y-intercept, we can use either point and the slope in slope intercept form.

y = mx + b

0 = 6(1) + b

0 = 6 + b

-6 = b

So we know the y-intercept is -6, which is 12 less than the y-intercept of g(x).

7 0

3 years ago

You are given g(x)=4x^2 + 2x and

Strike441 [17]

Answer:

324

Step-by-step explanation:

Given:

$g(x)=4x^2+2x\\ \\f(x)=\int\limits^x_0 {g(t)} \, dt$

Find:

$f(6)$

First, find f(x):

$f(x)\\ \\=\int\limits^x_0 {g(t)} \, dt\\ \\=\int\limits^x_0 {(4t^2+2t)} \, dt\\ \\=\left(4\cdot \dfrac{t^3}{3}+2\cdot \dfrac{t^2}{2}\right)\big|\limits^x_0\\ \\=\left(\dfrac{4t^3}{3}+t^2\right)\big|\limits^x_0\\ \\= \left(\dfrac{4x^3}{3}+x^2\right)-\left(\dfrac{4\cdot 0^3}{3}+0^2\right)\\ \\=\dfrac{4x^3}{3}+x^2$

Now,

$f(6)\\ \\=\dfrac{4\cdot 6^3}{3}+6^2\\ \\=288+36\\ \\=324$

4 0

3 years ago

In a four year period, about 80,000 acres of coastal wetlands in the United States are lost each year. What integer represents t

klemol [59]

Answer:

-320000

Step-by-step explanation:

Given

Lost Land = 80,000 acres yearly

Duration 4 years

Required

The total change

Represent the total change with y;

y is calculated as thus;

$y = Lost\ Land * Duration$

$y = -80,000 acres * 4$

$y = -320000\ acres$

Hence, a total of 320000 acres were lost during the period

7 0

3 years ago

Hi, does someone know what this question is looking for? There is no other instructions.

slamgirl [31]

Answer: 3y⁴(y² + 5)(y - 1)(y + 1)

Step-by-step explanation:

3y⁸ + 12y⁶ - 15y⁴

= 3y⁴(y⁴ + 4y² - 5)

= 3y⁴(y² + 5)(y² - 1)

= 3y⁴(y² + 5)(y - 1)(y + 1)

7 0

4 years ago

The Candle Factory is producing a new candle. It has a radius of 3 inches and a height of 5 inches. What is the surface area of

Savatey [412]

Answer:

We are looking for the amount of wax it will take to fill up that size candle mold to make that candle. That means that we are looking for the volume of wax, and the shape is a cylinder. The volume formula for a cylinder is

For us, that will look like this:

which translates to

V = 3.14(9)(5) which gives us a volume of 141.3 cubic inches. Rounding to the nearest cubic inch is simply 141 cubic inches of wax.

Step-by-step explanation:

6 0

3 years ago

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