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elixir [45]
3 years ago
10

use the factor theorem to find all the zeros of f(x)=2x^3+7x^2-77x-40 given that (x-5) is a factor of the polynomial

Mathematics
1 answer:
Soloha48 [4]3 years ago
5 0
Because the factor would divide it into two
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Tell whether the given value is a solution of the inequality
kipiarov [429]

Answer:

Yes it is, because...

Step-by-step explanation:

This is an inequality, so you can treat it as an algebraic expression.

The first step is to multiple both sides by 2, to get rid of the 2 on the left side.
Your equation will now look like this:
y >= 2y - 22

The next step is to get all the y variables to one side, now that its a lot more simplified. Subtract 2y from both sides to get:
-y >= -22

Finally, cancel out the negative on both sides of the equation to get the y as a positive y, all by itself. This will get you:
y <= 22

REMINDER: when you divide by a negative number, such as in this case dividing by -1 on both sides, the inequality sign will flip!

y = 18 works because it is less than 22. (:

8 0
2 years ago
Read 2 more answers
A ′ B ′ C ′ triangle, A, prime, B, prime, C, prime is the image of △ A B C △ABCtriangle, A, B, C under a rotation about the orig
erma4kov [3.2K]

The angle of rotation of triangle ABC to A'B'C is 105°

<h3>How to illustrate the information?</h3>

It should be noted that the rotation from ABC to A'B'C is in a clockwise direction.

Point B is also on the x axis and point B' is in the second quadrant.

In this case, the angle that depicts the second quadrant is 105°.

In conclusion, the correct option is D.

The complete question is:

Triangle A’ B’ C’ is the image of A B C under a rotation about the origin, (0,0)

Determine the angle of rotation

A. -105 degrees

B. -75 degrees

C. 75 degrees

D. 105 degrees

Learn more about triangles on:

brainly.com/question/11485921

#SPJ1

8 0
2 years ago
2. Select the situation below that result in zero. * 0 points A. A diver is at sea level, reaches a depth of 6 ½ feet and descen
Komok [63]

Answer: B and C only

Step-by-step explanation:

The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and rises 4 degrees

Initial temperature = 0

Temperature rise = 4

Fall in temperature = - 4

(Initial temperature + rise in temperature + fall in temperature)

Summing all : (0 + 4 - 4) = 0

carbon atom has 6 negatively charged electrons and 6 positively charged protons.

Net charge of atom :

(number of proton + number of electrons)

( 6 + (-6)) = 0

8 0
3 years ago
Rearrange the formula V = 1 3 πr2h for h. A) h = 3V πr2 B) h = V 3πr2 C) h = 3πr2 V D) h = πr2 3V
stiks02 [169]

Answer:

Option a) h=\frac{3V}{\pi r^{2} }

Step-by-step explanation:

The given formula seems to represent the volume of right circular cone. The correct formula is:

V=\frac{1}{3} \pi r^{2} h

We have to rearrange the formula for h. This means we have to move h on one side of the formula and all the other variables and constants on the other side of the equation. This can be done as shown below:

V=\frac{1}{3} \pi r^{2} h\\\\3V=\pi r^{2} h\\\\h=\frac{3V}{\pi r^{2} }

5 0
4 years ago
an architect is building a seminar hall to seat 1450 people. he wants the seating to be such that the number of rows and the num
Lady_Fox [76]
The seats must be arranged in a 38 by 39 arrangement to have the minimum amount of seats used.
You can find this by finding the square root of 1450, which is 38.0788655293.

5 0
4 years ago
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