the polynomial function B (x) = -21x + 20 has a known factor of ( x - 4 ). complete the following function so that b(x) is rewritten as a product of linear factors. be sure to write each factor with ita terms in order from highest to lowest degree​

Answers

Answer 1

Answer:

the

Step-by-step explanation:

Answer 2

The polynomial function B(x) = -21x + 20 with a factor of (x - 4) is

- 21x² + 104x - 80.

What is a factor of a polynomial?

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given, the polynomial function

B (x) = - 21x + 20 has a known factor of (x - 4).

This as a product of two factors can be written as,

(- 21x + 20)(x - 4).

= - 21x² + 84x + 20x - 80.

= - 21x² + 104x - 80.

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Related Questions

Zack is standing at the top of a lookout tower and spots a water fountain below. If the lookout tower is 75 feet tall and the angle of depression is 28°, what is the horizontal distance between zack and the water fountain

Answers

75 divided by 28 = 2.67 or 75 x 28 = 2,100

The horizontal distance between zack and the water fountain will be 141.05 feet.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

Zack is standing at the top of a lookout tower and spots a water fountain below. If the lookout tower is 75 feet tall and the angle of depression is 28°.

Then the horizontal distance between zack and the water fountain is given as,

tan 28° = 75 / x

x = 75 / tan 28°

x = 75 / 0.5317

x = 141.05 feet

The horizontal distance between zack and the water fountain will be 141.05 feet.

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what is the distance between the points with coordinates (-5,5) and (5,-5)? express your answer in simplest radical form

Answers

Answer:

10 spaces in each direction

Step-by-step explanation:

                     5

                      !

-5--------------------!-------------------5

                      !

                      !

                      5

WILL MARK BRAINLIEST!!!!

Answers

Answer:

Step-by-step explanation:

2x-3

2(21)-3

42=3

39

Answer:

its 5

3(2x-3)=21

6x-9=21

6x=30

x=5

It also detects if you are right or wrong

Answers

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According to the table ;

[tex]f(0) = 6[/tex]

Let's check that in which of the equations it happens.

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A )

[tex]y = f(x) = 6x + 4[/tex]

[tex]f(0) = 6(0) + 4[/tex]

[tex]f(0) = 0 + 4[/tex]

[tex]f(0) = 4[/tex]

Wrong

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B )

[tex]y = f(x) = 4x + 6[/tex]

[tex]f(0) = 4(0) + 6[/tex]

[tex]f(0) = 0 + 6[/tex]

[tex]f(0) = 6[/tex]

Correct.

Thus this option is the correct answer.

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C )

[tex]y = f(x) = 2x + 4[/tex]

[tex]f(0) = 2(0) + 4[/tex]

[tex]f(0) = 0 + 4[/tex]

[tex]f(0) = 4[/tex]

Wrong

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guys if I don't finish this imma get beat please help

Answers

Answer:

The answer is b.) hope this helps!!

Step-by-step explanation:

if you only look at H and H', you can see H' is being translated(slid) down the Y axis and since it is sliding down, it is -4, giving you (x, y-4)


Lana needs 38 inches of rope She cuts a piece of rope that measures 36 inches. What is her percent error to the nearest whole percent?

Answers

Answer:

About 5%

Step-by-step explanation:

kay is making a drink that needs 3 gallons of of juice , how many cups can she make of juice?

Answers

48 cups!! hope this helps!!

Which point is a solution to the inequality shown in this graph?

Answers

The answer would be (3,-1), Since the line is solid and not dotted, any point on the line or in the shaded region would be a valid solution.

at 2 a m, the temperature was -6C An hour later, the temperature had decreased by 8C what was in the new temperature

Answers

Answer:

2c

Step-by-step explanation:

مرحبا انا جديد انت ايضا

What is greater 34/18 or 1 5/6

Answers

The second one is correct

Answer:

34/18~ greater

Step-by-step explanation:

34/18 =  1   16/18 or  1  8/9

Lets make common denominators and improper fractions: 54

17/9   11/6

102/54   >  99/54

Hope this helps!


What is the value of x?

Answers

It might be 64 but I’m not entirely sure on that.

Help please -?
An answer and an explanation to understand would be helpful

Answers

Answer:

A c b

Step-by-step explanation:

A

Plz plz plz help me quickly I’ll give brainlist!!!!!!!!!!

Answers

Answer:

Yeah, I also got 2.4 percent..

What is 5pi 4 radians in degree

Answers

Answer: 225°

Step-by-step explanation:

To convert radians to degrees, multiply by 180/π (1 rad = 180° )

(5π/4) * (180/π/) = 225°

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz heeeeeeeeeeeeelp due in 13mins

Answers

It’s A because they are trying to figure out the time.

TIME REMAINING
01:58:43
Which statement is a correct interpretation of the vertical line test?
If only one vertical line intersects the graph at exactly one point, the graph represents a function
If only one vertical line intersects the graph at exactly one point, the graph does not represent a function
If any vertical line can intersect the graph at more than one point, the graph represents a function
If any vertical line can intersect the graph at more than one point, the graph does not represent a function

Answers

Answer:

If only one vertical line intersects the graph at exactly one point, the graph represents a function.

Start with the top figure. Which transformation was used to create the pattern?

Answers

The answer is rotation

The transformation that was used to create the pattern is rotation. The correct option is A, rotation.

What is the transformation in logic?

If two formulae are logically identical, either one may replace the other in any well-formed context without changing anything's truth value or inferential qualities. This is a fundamental property of logic.

The given figure in the top is needed to be transformed such that the pattern given below is produced. Therefore, if we observe the figure at the top and the pattern, then it can be seen that the given figure is rotated by 90° to create the given pattern. The pattern will be formed.

Hence, the transformation that was used to create the pattern is rotation.

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The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 34i. Which statement must be true about the complex numbers? The complex numbers have equal imaginary parts. The complex numbers have equal real parts. The complex numbers have opposite imaginary parts. The complex numbers have opposite real parts.

Answers

Answer:

c

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Let StartFraction cosine (2 x) Over cosine (x) + sine (x) EndFraction = 0 where 0° ≤ x ≤ 180°. What are the possible values for x?

a- 45 only
b- 135 only
c- 45 or 225
d- 135 or 315

*NEED HELP ASAP

Answers

Answer:

The correct option is;

a- 45° only

Step-by-step explanation:

The given equation can be presented as follows;

[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = 0[/tex]

We have that cos(2·x) = cos²(x) - sin²(x)

Also, we have, by the difference of two squares, the following relation;

cos²(x) - sin²(x) = (cos(x) - sin(x))(cos(x) + sin(x))

Therefore, the given equation can be written as follows;

[tex]\dfrac{cos (2 \cdot x)}{cosine (x) + sin (x)} = \dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} =0[/tex]

Crossing the common term, (cos(x) + sin(x)), in the numerator and the denominator, we have;

[tex]\dfrac{(cos(x) - sin(x)) \times (cos(x) + sin(x))}{(cos (x) + sin (x))} = cos(x) - sin(x) = 0[/tex]

From cos(x) - sin(x) = 0, we have;

Adding sin(x) to both sides of the equation

cos(x) - sin(x) + sin(x) = 0 + sin(x)

cos(x) = sin(x)

Therefore, the opposite leg and the adjacent leg of the right triangle formed with reference to the angle x are equal

∴ x = 90/2 = 45° only for 0° ≤ x ≤ 180°

Answer:

A. 45 only

Step-by-step explanation:

EDGE 2020

2w=-10 what does w equal to

Answers

Answer:

2w = -10

-10 / 2 = -5

Answer: -5

Step-by-step explanation:

Answer:

5 or -5

Step-by-step explanation:

I can't tell if the 10 is negative or not but if it is the answer is -5

If it's not the answer is 5.

10 divided by 2 is 5.

-10 divided by 2 is -5.

find z and x

please help i’ll mark the first one or whoever right brainliest

Answers

Answer:

z=97 x=21

Step-by-step explanation:

so straight angles always equal 180°

And assuming that your lines are parallel, the angle under angle z should be 83° just like the angle above angle z

There for to solve for x, first subtract 83 from 180 because that's what that angle is equal to.

Now that you have the equation 4x+13 and you know that it's equal to 97 you can solve it just like a normal inequality.

4x+13=97

4x=84

x=21

Choose the correct Triangle Congruence Theorem

Answers

Answer:

ASA

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

The triangles have two congruent angles and one congruent side. This means they are congruent through the AAS theorem. The reason it is not the ASA theorem is that the side is not included, which means it is not in-between the congruent angles.

Solve the following proportion; -5/3=2-3a/7

Answers

Answer:

a   =   77

          9

This is the answer

x - y = 1
Convert the equation from standard form to slope-intercept form.​

Answers

Answer:

y=x-1

Step-by-step explanation:

The equation is currently in standard form which is a+b=y and slope-intercept is y=mx+b where m is the slope and b is the y-intercept. To change the form we must move the terms around using Properties of Equality.

First, subtract 1 from both sides

x-y-1=1-1

x-y-1=0

Then, add y to both sides

x-y-1+y=0+y

x-1=y

So that is the equation in slope-intercept form with a slope of 1 and a y-intercept of -1.

Answer:

y=x-1

Step-by-step explanation:

It is y=x-1 because first when we do ANYTHING first. We leave the y on the left side of the equation, since the slope y=mx+b has the y always on the left side. So we subtract x from both sides and we get -y=-x+1. We are NOT DONE yet, so after this, we divide both sides by -1. Why? This is because you cannot have a negative y. Dividing both sides by -1 you finally get y=x-1. If this is trouble some to read, I will also put how to solve the problem down below. :)

Let's solve for y.

x−y=1

Step 1: Add -x to both sides.

x−y=1+−x

−x

−y=−x+1

Step 2: Divide both sides by -1.

−y/ −1 = −x+1 /−1

y=x−1

Answer:

y=x−1

Solve this system of equations by graphing. First graph the equations, and then type the solution. y=2x+2 y=x–2

Answers

Answer:

(-4,-6)

Step-by-step explanation:

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The point of intersection between the two equations is (-4, -6).

The graph is given below.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 6 is an equation.

We have,

y = 2x + 2

y = x - 2

Now,

The point of intersection.

2x + 2 = x - 2

2x - x = -2 - 2

x = -4

Putting in y = 2x + 2

y = 2 x -4 + 2

y = -8 + 2

y = -6

(-4, -6) is the point of intersection.

Now,

The graph of the equation is given below.

Thus,

The point of intersection between the two equations is (-4, -6).

The graph is given below.

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Oak Street and Elm Street run parallel to each other. When Main Street
intersects them, it forms interior 24, measuring 50°. What is the measure of
8?

Answers

Answer:

50 Degrees

Step-by-step explanation:

They are parallel because, so 5, 8, 4, and 1 are all 50 degrees, and the angle is 180. That means the other sides angle is 130 degrees. 7, 6, 2, and 3 are 130 degrees

Answer:

D

Step-by-step explanation:

A P E XXX

I will give u brainliest if u answer this pweeze

Answers

Answer:

Its too tiny please make it bigger

Step-by-step explanation:

i even zommed in but i still cant see it, and i have my glasses on

Answer:

11. A. y = 24x

12. C. c = 0.5p

13. D. p = (1/200)n

14. C. 5 : 8

Step-by-step explanation:

11. y = 24x is correct because you multiply the number of days (x) by 24 to get the number of hours (y)

12. c = 0.5p is correct because there are half as many c as p. so to get c, you multiply p x 1/2.

13. If we substitute in, p is 1/4. 1/200 times n = 0.25 or 1/4. So D. is correct.

14. The ratio of apples to oranges is 15 : 24. We can divide 15 and 24 both by 3 to get 5 : 8.

I hope that this helps! :)

what is 2 over 3 divided by 4 over 5​

Answers

Answer:

it is .8333333333 and more 3's forever

Step-by-step explanation:

Answer:1/2

Step-by-step explanation:

Sam bought an $85.00 for 40% of the regular price.How much did he pay for the jacket?

Answers

Answer:

he payed 34$ for the jacket

Step-by-step explanation:

What is the slope.please help

(-2,-11) and (-16,15)

Answers

Answer:

-13/7

is the slope for m I believe

Answer:

26/-14

Step-by-step explanation:

m=y2-y1/x2-x1

15-(-11)=26

(-16)-(-2)=(-14)

26/-14

hope this helps :3

if it did pls mark brainliest

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