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2 years ago

2.

Mathematics

1 answer:

spin [16.1K]2 years ago

3 0

Answer:

D, (4,-4) satisfies both equations.

Step-by-step explanation:

The answer to a system of equations is where the lines intersect, and these lines intersect at (4,-4)

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Calculate the distance between the points N=(-5, 9) and P=(-1, 2) in the coordinate plane.

GalinKa [24]

Answer:

Step-by-step explanation:

5 0

3 years ago

How to find the zeros of a non factorable function?

Mice21 [21]

Assuming it's for a polynomial function, this video explains a lot https://www.youtube.com/watch?v=OrLz7yide2g hope this helps:)

5 0

3 years ago

Complete parts a through c for the given function.

victus00 [196]

Answer:

a. The critcal points are at

$x=0,-5,3$

b. Then, $x = -5$ is a maximum and $x=3$ is a minimum

c. The absolute minimum is at $x = 3$ and the absolute maximum is at $x = -5.$

Step-by-step explanation:

(a)

Remember that you need to find the points where

$f'(x)=0$

Therefore you have to solve this equation.

$20x^4 + 40x^3 - 300x^2 = 0$

From that equation you can factor out $20x^2$ and you would get

$20x^2 ( x^2 +2x - 15) = 0$

And from that you would have $20x^2 = 0$ , so $x = 0$ .

And you would also have $x^2 +2x-15 = 0$ .

You can factor that equation as $x^2 +2x -15 = (x+5)(x-3) = 0$

Therefore $x=-5 , x=3$ .

So the critcal points are at

$x=0,-5,3$

Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

$f''(x) = 80x^3 + 120x^2 -600x\\f''(-5) = 80(-5)^3 + 120(-5)^2 -600(-5) = -4000 < 0\\\\f''(3) = 80(3)^3 + 120(3)^2 -600(3) = 1440 > 0 \\$

Then, $x = -5$ is a maximum and $x=3$ is a minimum

The absolute minimum is at $x = 3$ and the absolute maximum is at $x = -5.$

6 0

3 years ago

Read 2 more answers

John wants to find the center of a wall so he can hang a picture. He measures the wall and determines it is 65.25" wide. 65.25"

antiseptic1488 [7]

Option B is correct.

John wants to find the center of a wall so he can hang a picture. He measures the wall and determines it is 65.25" wide.

Here, 65.25" is Quantitative, continuous

There are two types of quantitative data or numeric data: continuous and discrete.

As a general rule, counts are discrete and measurements are continuous. A continuous data can be recorded at many different points (length, size, width, time, temperature, etc.)

So, option B is the answer.

3 0

3 years ago

A 39-foot piece of string (hypotenuse) is stretched from the top of a 18-foot flagpole to the ground. How far is the base of the

ivann1987 [24]

9514 1404 393

Answer:

34.6 ft

Step-by-step explanation:

The distance can be found using the Pythagorean theorem. Where a, b, c are the sides of a right triangle with c as the hypotenuse, it tells you ...

a² + b² = c²

a = √(c² -b²)

base-to-string = √(39² -18²) = √1197 ≈ 34.598

The distance from the base of the pole to the end of the string is about 34.6 feet.

7 0

2 years ago