Mathematics High School

Factor f(x) into linear factors given that k is a zero of f(x).
f(x) = 4x3 + 23x² – 34x +7; k= 1
f(x) = (Factor completely.)

Factor F(x) Into Linear Factors Given That K Is A Zero Of F(x).f(x) = 4x3 + 23x 34x +7; K= 1f(x) = (Factor

Answers

Answer 1

Step-by-step explanation:

step 1. if k is a zero then (x - 1) is a factor of 4x^3 + 23x^2 - 34x + 7.

step 2. we "can" use long division but synthetic division is easier!

step 3. 1 4 23 -34 7

4. 4. 27. -7.

4 27. -7. 0 (must get 0)

step 4. so the factors are (x - 1)(4x^2 + 27x - 7).

step 5. please note if you multiply these factors together you will get the original polynomial!

Related Questions


Which of the following points satisfies the inequality x - y > 7?
(-2. – 8)
(17, 19)
(9. 2)
(7. - 1)

Answers

Answer:

(7, -1)

Step-by-step explanation:

x - y > 7 here my x is 7 and y is -1.

7 - (-1) > 7 negative times negative equals positive.

7 + 1 > 7

8 > 7

Hope this helps, thank you !!

(b) Write 0.06 in standard form.​

Answers

Answer:

6×10^(-2)

Step-by-step explanation:

[tex]6 \times {10}^{ - 2} [/tex]

If mZEBD = 4x + 16 and m2DBC = 6x + 4,
find mZEBD.

Answers

Answer:

4 ( x + 4 )

Step-by-step explanation:

Find the area of the figure

Answers

Answer:

What figure?

Step-by-step explanation:

If gas costs $4.55 per gallon how many whole gallons of gas could you buy with $12.00?

Answers

answer: 2
4.55•2=9.10
4.55•3=13.65

The amount of gallons of gas that can be bought with $12 is 2.64 gallons.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Cost of gas per gallon = $4.55

This can be written as,

1 gallon = 4.55

Multiply 12/4.55 on both sides.

12/4.55 gallons = 12/4.55 x 4.55

2.64 gallons = 12

This means,

2.64 gallons for $12.

Thus,

2.64 gallons can be bought for $12.

Learn more about unit rates here:

https://brainly.com/question/11258929

#SPJ2

what multiplies to -15 and adds to -3

Answers

That’s not possible but it added to -2 it would be possible

PLEASE HELP

A line goes through the point (2,5) and has a slope of 1.5. What is an equation of this line?

Answers

Answer:

y=1.5x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-5=1.5(x-2)

y=1.5x-3+5

y=1.5x+2

how would the numbers 6870000 appear in scientific notation on a calculator screen ​

Answers

Answer: D

Step-by-step explanation:

I need help plz answer

Answers

Answer:

10x+5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since this is a test/homework, I'll give a hint:

For this problem, you need to know what a coefficient, and what a constant is.

Coefficient: A number that is mutiplied by a variable

Ex: 7x

Constant: A number that is alone, decimal, fraction, etc, is not mutiplied with any number

Ex: 7x+5

Find the 72nd term of the arithmetic sequence -27, -11, 5,

Answers

Answer:

1109

Step-by-step explanation:

an = d (n - 1) + c

an = what you're looking for

n = term position

d = the common difference, in your case, 16

c = first term of the sequence, or -27

a₇₂ = 16(72 - 1) + -27 = 1109

The Robot Factory is a learning center where children can build robots. The project fee per visit is $18, and each hour of time (x) at the factory costs $6. Jesse goes to the Robot Factory one afternoon, and the total charge for his visit is $33. Write and solve and equation to find the number of hours Jesse spent at the Robot Factory.

Answers

Answer:

equation=33=6x+18

Step-by-step explanation:

33=6x+18

-18       -18

15/6=6x/6

15/6=x

2.5 hours at the robot factory

What value make the statement true?
-4x+5 >17
x=4
X=-4
X=-2
X=-3

Answers

Answer:

-4

Step-by-step explanation:

-4(-4) + 5 > 17

16 + 5 = 21 > 17

1) 2x+y=4

2) 8x+y=-6

3) -3x+y=5

4) -x+y=-10

5) 4x-y=4

Can you guys lmk how to solve for y ? step by step
and if the equation has a negative sign in front do you still solve it the same way as the others ? am really confused please help!

Answers

y=-2x+4

y=-8x-6

y=3x+5

y=x-10

y=4x-4

Step-by-step explanation:

these questions require a series of equations in order to solve but if you are asking for them to be rearranged

pls answer i need help with 2 questions

Answers

Answer:

(2, 8) and (-2, 7)

Step-by-step explanation:

You can plug in the respective x and y values and see what works.

A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 200 nails and each large box has 400 nails. The contractor bought twice as many small boxes as large boxes, which altogether had 3200 nails. Graphically solve a system of equations in order to determine the number of small boxes purchased, x,x, and the number of large boxes purchased, yy.

Answers

Answer: 21

Step-by-step explanation:

18% discount on a list price of $25

Answers

$4.50

Hope this helps!

Answer:

$20.50

Step-by-step explanation:

100% price - 18% discount = 82%.

82% can be written as .82

The original price was 25, so we multiply 25 by 0.82. We get $20.50.

If you are looking for the amount saved, subtract 20.5 from 25. We get $4.50.

Please help meeeew il mark brainliest​

Answers

Answer:

Correct answer is cylinder

Step-by-step explanation:

I just took this


Which of these options is not a postulate that can be used to prove that two triangles are
congruent?
A. SSS
B. SAS
C. ASA
D. AAS
E. AA
F. HL

Answers

Answer:

AA

Step-by-step explanation:

AA, or Angle- Angle, can only be used to prove two triangles similar, not congruent.

Solve for a: -8b+2a=6c

Answers

Answer:

a=3c+4b

Step-by-step explanation:

-8b + 2a = 6c

(-8b + 2a) + 8b = 6c + 8b

-8b + 2a + 8b = 6c + 8b

-8b + 8b + 2a = 6c + 8b

2a = 6c + 8b

2a/2 = 6c + 8b/2

a = (2x3)c + [tex]2^{3}[/tex] x b)/2

a = 3c + 4b

what is the probability of rolling a 3

Answers

Answer:

1/6

Step-by-step explanation:

Answer:

1/6 if rolled on a dice.

Step-by-step explanation:

There are 6 options on a dice, so 6 is the denominator.

There is only one chance to roll a 3, so 1 is the denominator.

Therefore, the answer would be 1/6.

#4
Round $1.362 to the nearest cent.

Answers

Answer:

1.360 or 1.36 .....................

Help please//brainliest!

Answers

Hi there!

The answer for this question is C, BD. As you can see, BC and DA are the same which means that AB and CD are also the same.

That only leads to BD which means that BD has the shortest sides.

3. How much time does it take for a bird flying at a speed of 45 kilometers per hour to travel a
distance of 900 kilometers?

Answers

It will take 20 hours

9x - 4y= 19
4x + 4y= 20

Answers

Answer:

x=3 and y=2

Step-by-step explanation:

9x - 4y= 19

4x + 4y= 20

add both equations;

13x = 39

x= 3

using 4x + 4y= 20;

4(3) +4y=20

12+4y=20

4y= 20-12=8

y=8/4=2

Question 4 A triangle has two sides that are 8 cm and 13 cm. What could be the length of the triangle's third side? Select three that apply. А 5 cm B 10 cm С 17 cm D 20 cm E 21 cm F 24 cm​

Answers

know what is the third side length

the difference between the 2 other sides <  the greatest side of triangle < the sum of 2 other sides

so here the answers here could be ( 10- 17 - 20)

10-8 < 13 <  10+8  

13-8 < 17 < 13+8

13-8 < 20 < 13+8

Liang's solution of a system of linear equations is shown. Explain her error. 3x − 2y = 12 −x − 2y = −20 2x + 0 = −8 x = −4 −(−4) − 2y = −20 4 − 2y = −20 − 2y = −24 y = 12 Enter the solution as an ordered pair. (−4, 12) Complete the explanation for Liang's error and give the correct solution. Liang (select) the two equations, but (select) the y−terms. The equations should be (select) . The solution is .

Answers

Step-by-step explanation:

bro what kind of class got u doing these math equations

Please help Asap if possible

Answers

Answer:

A

Step-by-step explanation:

its A

A



It has to be A, the other ones don’t seem correct. Sorry if I’m wrong

A television screen has a length of 33 ft and a width of 45 ft. A second television is similar to the first television. The second television is 51 ft. wide. What is the length of the second television? (Decimal Answer)

Length of the second television = ____ft

Answers

Answer:1683

Step-by-step explanation:33 ft x 51 ft = 1683

After running for two minutes, a jaguar has gone 180 feet. After five minutes, it has run 450 feet. Write an equation to represent the total distance, y, the jaguar runs in x minutes.A.) y = 45x B.)y = 90x C.)y = 180x D.)y = 450x

Answers

Answer:

B) y=90x

Step-by-step explanation:

The jaguar runs 90 feet in one minute.

-3 is a zero for the polynomial:
x^3 + 7x^2 + 16 x + 12
True or False

Answers

Answer:

true

Step-by-step explanation:

If x = - 3 is a zero of the polynomial then f(- 3) = 0

f(x) = x³ + 7x² + 16x + 12

     = (- 3)³ + 7(- 3)² + 16(- 3) + 12

     = - 27 + 63 - 48 + 12

     = 0

Since f(- 3) = 0 then x = - 3 is a zero of the polynomial

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