Given a polynomial f(x), if (x − 4) is a factor, what else must be true? f(0) = 4 f(0) = −4 f(4) = 0 f(−4) = 0

Answers

Answer 1

Question:

Given a polynomial f(x), if (x − 4) is a factor, what else must be true?

f(0) = 4 f(0) = −4 f(4) = 0 f(−4) = 0

_______________________________________

Solution:

f(x) is a polynomial.

(x - 4) is a polynomial of f(x).

By converse of factor theorem: If (x - a) is a factor of f(x), then, f(a) = 0.

On comparing (x - 4) with (x - a), we get,

a = 4

So,

f(a) = 0

=> f(4) = 0


Related Questions

complete the table pls and don't answer with a link​

Answers

First answer blank is 4.5 and the second is 6

Cam hit the bull's-eye in darts 8 times out of 15 throws. What is the experimental probability that cam's next throw will hit the bull's-eye?

Answers

Answer:

[tex]Probability = 0.533[/tex]

Step-by-step explanation:

Given

[tex]Hits = 8[/tex]

[tex]Throws = 15[/tex]

Required

Determine the experimental probability

This is calculated by dividing the number of hits by the total throws.

[tex]Probability = \frac{Hits}{Throws}[/tex]

[tex]Probability = \frac{8}{15}[/tex]

[tex]Probability = 0.533[/tex]

What is the range of function g(x)= f (x) +3?

Answers

Answer:

this is how i did it if this is correct maybe its helpful

What is the surface area? 4 mm 3 mm 1 mm​

Answers

Answer:

This is your answer ☺️☺️☺️

Choose all that define a rectangle in the coordinate plane by the four given points

A(-3,0), B(3, 2), C(4, -1). D(-2, -3)

A(-2,-5), B(-2, 1), (3, 2), D(1.-4)

A(-1, -1), B(2, 3), C(10, -3), D (7.-7)

A(-3,-4), B(-1.2), C(2, 1). D(0, -5)

Answers

Answer:

The answer is A.

Step-by-step explanation:

By labelling the four points on a coordinate grid and connecting them, you will get the shape of a rectangle.

Answer:

A, C, and D

Step-by-step explanation:

)) Tim has 15 feet of
wrapping paper. He uses
43 feet for his daughter's
present and 5 feet for his
niece's present. How much
wrapping paper does Tim
have left? Solve this
problem any way you
choose.
15 Feet
45 feet
5 feet

olw

Answers

Answer:

i dont know

Step-by-step explanation:

Hmmm. 15-(43+5)=15-48=-33
Tim has no wrapping paper left. Tim is short 33ft.
If Tim started off with 150ft, and 15 ft was a typo than,
150-(43+5)=150-48=102 ft
Tim would have 102 ft of wrapping paper left.

Quadrilateral ABCD is translated to get quadrilateral A′B′C′D′. Vertex A is at (-5, 2), and vertex A′ is at (2, -2).
Quadrilateral ABCD is translated
. If vertex B is at (-6, 5), then vertex B′ is at

FILL IN THE BLANKS

Answers

then vertex B’ is at (1,1)
proof: the translation from A to A’ is (7,-4) therefore applying the same conditions to B would give you the outcome of (1,1)

In which Quadrant are both cos and sin negative?
he

Answers

Answer:

Third Quadrant

Step-by-step explanation:

1st Quadrant: All are positive

2nd Quadrant: Only sin is positive

3rd Quadrant: Only tan is positive

4th quadrant: Only cos is positive

In the third quadrant, the value of both sine and cosine trigonometric functions will be negative.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The Quadrant in which both cosine and sine value is negative will be

1st Quadrant: All are positive

2nd Quadrant: Only sine is positive

3rd Quadrant: Only tangent is positive

4th quadrant: Only cosine is positive

In the third quadrant, the value of both sine and cosine trigonometric functions will be negative.

More about the trigonometry link is given below.

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Numbers between 1 and 150 divisible by 4

Answers

Answer:

the answer is 147 I am not sure

What is the decimal multiplier to increase by 6.1%?​

Answers

first add or subtract the percentage from 100 ,then convert to a decimal.

What is a simple definition of the multiplier?

It is the number of times a rise in national income exceeds the rise in injections of demand that caused it.

What is the multiplier process?

The multiplier effect comes about because injections of new demand for goods and services into the circular flow of income stimulate further rounds of spending – in other words “one person’s spending is another’s income”

This can lead to a bigger eventual final effect on output and employment.

plz mark me as a brainliest answer!

$9,800,000 is what percent of $7,000,000

Answers

Answer:

686000000000

Step-by-step explanation:

1. We assume, that the number 7000000 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 7000000 is 100%, so we can write it down as 7000000=100%.

4. We know, that x is 9800000% of the output value, so we can write it down as x=9800000%.

5. Now we have two simple equations:

1) 7000000=100%

2) x=9800000%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

7000000/x=100%/9800000%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 9800000% of 7000000

7000000/x=100/9800000

(7000000/x)*x=(100/9800000)*x       - we multiply both sides of the equation by x

7000000=1.0204081632653E-5*x       - we divide both sides of the equation by (1.0204081632653E-5) to get x

7000000/1.0204081632653E-5=x

686000000000=x

x=686000000000

now we have:

9800000% of 7000000=686000000000

Please help! 2/20, will give brainliest. I do not tolerate spam answers!

Factor the equation. [tex]x^2-6x+8[/tex]

Answers

You can't factor it.

Answer:

(x - 2)(x - 4)

Step-by-step explanation:

Given

x² - 6x + 8

Consider the factors of the constant term (+ 8) which sum to give the coefficient of the x- term (- 6)

The factors are - 2 and - 4, since

- 2 × - 4 = + 8 and - 2 - 4 = - 6, then

x² - 6x + 8 = (x - 2)x - 4) ← in factored form

A teacher has two large containers filled with blue, red, and green beads, and claims the proportions of red beads are the same in each container. Each student shakes the first container, selects 50 beads, counts the number of red beads, and returns the beads to the container. The student repeats this process for the second container. One student’s samples contained 13 red beads from the first container and 16 red beads from the second container.

Based on the 95% confidence interval, (–0.24, 0.11), is the teacher’s claim justified?

The teacher’s claim is not justified because the two sample proportions are different.
The teacher’s claim is not justified because the interval contains both positive and negative values.
The teacher’s claim is justified because the interval contains 0, meaning there is no difference in the proportions of beads in each container.
The teacher’s claim might not be justified because the interval contains both positive and negative values. It is plausible that the proportion of red beads in each container is different.

Answers

Answer:

D. The teacher’s claim might not be justified because the interval contains both positive and negative values. It is plausible that the proportion of red beads in each container is different.

Explanation:

100%

Answer: The teacher’s claim might not be justified because the interval contains both positive and negative values. It is plausible that the proportion of red beads in each container is different.

Step-by-step explanation: EDGE 2022

ADFE - AACB. What is the length of DE? Diagrams are not drawn to scale.
С.
15
62
3
3072
B
D
X
E
45
A А

Answers

Answer:

The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.

The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115

Step-by-step explanation:

what's the value of given expression

[tex] \sqrt{44 + 5} [/tex]

Answers

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

I believe it’s 7

Answer:

√{44 + 5}=√49=√7²=±7 is your answer

Determine the number and nature of the roots.
2.2 + 12x = -4

Answers

Answer:

−0.516667

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

12x+2.2=−4

Step 2:  Subtract 2.2 from both sides.

12x+2.2−2.2=−4−2.2

12x=−6.2

Step 3: Divide both sides by 12.

12x

12

=

−6.2

12

x=−0.516667

7. What is the slope of the line that goes through (8, 8) and (4, 6)?

Answers

Answer:

Step-by-step explanation:

8-6/8-4

2/4

slope is 1/2

Answer:

m = 1/2

Step-by-step explanation:

(8, 8) and (4, 6)

Slope:

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

m = (6 - 8)/(4 - 8)

m = (-2)/(-4)

m = 1/2

15 freinds are in group of 5 for a sceince project. how many projects are there?

Answers

Answer:

Step-by-step explanation:

there r 3

15/5=3

hope this helps

5 times 3 equals 15. So there are 3 groups and 3 different projects

Find the slope of the line that passes through (10, 4) and (3, 1).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

(3,-9)

Step-by-step explanation:

sorry if its wrong i tried...

(10,4),(3,1)

Subtract the y-coords, then the x-coords.

4-1=3

10-3=7

The slope is 3/7. Let me know if you need help graphing it too.

3 is the rise and 7 is the run. You start at (0,0) and you go up 3 units, then 7 units right. The first coordinate should be (7,3). Repeat until you have a straight line.

---

hope it helps

PLEASE HURRY TIME LIMIT 30 POINTS
If ∆is a right triangle AB is 27, BC is 36, and AC is 45, which of the following can be used to find the measure of ∠? Select all that apply.
a.=3645
b.=2745
c.=3645
d.=2745
e.=3627
f.=2736

Answers

Answer:

see the answers

Step-by-step explanation:

to understand thisyou need to know abouttrigonometrytips and formulas:sin=opp/hypoCos=adj/hypotan=opp/adjlet's solve:

according to the question

[tex] b)\sin( \theta) = \frac{27}{45} [/tex]

according to the question

[tex] c)\cos( \theta) = \frac{36}{45} [/tex]

according to the question

[tex] f)\tan( \theta) = \frac{27}{36} [/tex]

If f (x) = 2x, find the output when x = -4.

Answers

Answer:

f(-4) = -8

Step-by-step explanation:

f (x) = 2x

Let x=-4

f(-4) =2*-4

      = -8

Answer:

The answer is -8.

Step-by-step explanation:

f(x)=2x

f(-4)=2(-4)

f(-4)=-8.

(PLEASE HELP) Triangle LMN is similar to triangle OPR. Find the measure of side RO. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.

Answers

Answer:

RO = 107.36

Step-by-step explanation:

ΔLMN = ΔOPR ----- (given)

so,-----------------------

NM / NL = RP / RO

19 / 34 = 60 / RO

RO = 60 × 34 ÷ 19

RO = 107.36

Box contains 3 red and 5 white balls, while Box II contains 4 red and 2 white balls. A ball is chosen at random from the first box and placed in the second box without observing its color. Then a ball is drawn from the second box. Find the probability that it is white.

Answers

Hey I think you should have left 2 white balls and 4 purple balls

A ball is drawn from the second box. The probability that it is white. is 3/8

What is probability ?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

Computation Of Probability is in the image .

To learn more about Probability

https://brainly.com/question/11234923

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the product of 5 and a number is 40, is represented by which of the following?

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

write out the equation.

5 x ? = 40

since this is a simple question you can usually already tell but if these were bigger numbers you can plug it into an equation like this.

40/5 = ?

and of course, 40/5 will grant you 8. So the number is 8.

Check:

5 x 8 = 40

40 = 40

Hope I could help :)))

Determin if this is a function

Answers

Answer:

14-

Step-by-step explanation:

Answer: yes, this is a fuction

Step-by-step explanation:

hope this helps

Hello can some one answer these 5 questions for me <3

Answers

Answer:

1st picture: price per pound of peaches is D.$3.00

2nd and 3rd picture: Table A.

4th picture: D. 12

5th picture: C. 3/4

Step-by-step explanation:

the 2nd and 3rd picture has the same question

if u want me to explain how I got each of my answers, comment

hope this helps chu<3

PLEASE HELP WITH THIS QUESTION WILL GIVE BRAINLY

Answers

Answer:

Z' = (-5,3)

Step-by-step explanation:

Move two to the (<- left) from -3,5 to get -5, 5

move two down to get -5,3

yall do u want me to fail? if no plz answer this question: is 92.35 equal to (9 × 100) + (2 ×10) + (3 × 110) + (5 × 1100)

Answers

Answer:

no of course its not.

Step-by-step explanation:

(9 × 100) + (2 ×10) + (3 × 110) + (5 × 1100)

900+20+330+5500

1800

92.35 isnt equal to 1800

Factor completely 20-20x+5x^2

Answers

Answer:

5(2 - x)^2

Step-by-step explanation:

Answer:

           2

= 5(2-x)

Step-by-step explanation:

Please help now ill put you brainlest!? ​

Answers

Answer:

24 degrees

Step-by-step explanation:

it is a right angle

42+2x=90

2x=48

x=24

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