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3 years ago

WILL GIVE 15 POINTS FOR THIS ONE QUESTION + BRAINLIEST

Mathematics

1 answer:

densk [106]3 years ago

5 0

Answer:

x + 4y ≤ 15; y ≥ 0

Step-by-step explanation:

The graph doesn't do a very good job of modeling any of the given equations. However, the equations listed above seem the best fit.

The slope of the top (left) line is negative, so the equation will be of the form ...

x + 4y = something

When y=0, x=15, so the "something" is expected to be 15.

However, the line appears to go through points (6, 2) and (-2, 4). Both of these points are on the line x + 4y = 14.

The graph is shaded <em>below the line</em> so the values of x and y that are in the shaded area will add to <em>less than</em> 15 (or 14). Hence, the inequality will be ...

x + 4y ≤ something . . . . . part of the 3rd answer choice

The fact that the shading does not go below y=0 means the other limit is ...

y ≥ 0 . . . . . part of every answer choice.

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4 years ago

The circumference of a circle is 65?. In terms of pi, what is the area of the circle?

iVinArrow [24]

Answer:

1056.25π square units

Step-by-step explanation:

A few formulas an definitions which will help us:

(1) $\pi=\frac{c}{d}$ , where c is the circumference of a circle and d is its diameter

(2) $A=\pi r^2$ , where A is the area of a circle with radius r. To put it in terms of d, remember that a circle's diameter is simply twice its radius, or mathematically, (3) $d=2r \rightarrow r=\frac{d}{2}$ .

We can rearrange equation (1) to put d in terms of π and c, giving us (4) $d = \frac{c}{\pi}$ , and we can make a few substitutions in (2) using (3) and (4) to get use the area in terms of the circumference and π:

$A=\pi r^2\\=\pi\left(\frac{d}{2}\right)^2\\=\pi\left(\frac{d^2}{4}\right)\\=\pi\left(\frac{(c/\pi)^2}{4}\right)\\=\pi\left(\frac{c^2/\pi^2}{4}\right)\\=\pi\left(\frac{c^2}{4\pi^2}\right)\\\\=\frac{\pi c^2}{4\pi^2}\\ =\frac{c^2}{4\pi}$

We can now substitute c for our circumference, 65, to get our answer in terms of π:

$A=\dfrac{65^2}{4\pi}=\dfrac{4225}{4\pi}=1056.25\pi$

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3 years ago

Read 2 more answers

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Answer:

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4 years ago

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Answer:

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As per the statement:

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Given the graph:

$y = -2x^2+20x+400$