Mathematics High School

Find a number c such that the polynomial
p(x) = -x + 4x2 + cx3 - 8x4
has a zero at x =1/4

Answers

Answer 1

Answer:

c = 2

Step-by-step explanation:

Since the polynomial has a zero at x = [tex]\frac{1}{4}[/tex] , then p([tex]\frac{1}{4}[/tex] ) = 0, then

p([tex]\frac{1}{4}[/tex] )

- [tex]\frac{1}{4}[/tex] + 4([tex]\frac{1}{4}[/tex] )² + c([tex]\frac{1}{4}[/tex] )³ - 8[tex](\frac{1}{4}) ^{4}[/tex] = 0

- [tex]\frac{1}{4}[/tex] + 4([tex]\frac{1}{16}[/tex] ) + c([tex]\frac{1}{64}[/tex] ) - 8([tex]\frac{1}{256}[/tex] ) = 0

- [tex]\frac{1}{4}[/tex] + [tex]\frac{1}{4}[/tex] + [tex]\frac{c}{64}[/tex] - [tex]\frac{1}{32}[/tex] = 0 , simplifying gives

[tex]\frac{c}{64}[/tex] - [tex]\frac{1}{32}[/tex] = 0 ( add [tex]\frac{1}{32}[/tex] to both sides )

[tex]\frac{c}{64}[/tex] = [tex]\frac{1}{32}[/tex] ( multiply both sides by 64 )

c = 2

Related Questions

403 students go on a field trip there are 19 vehicles some vans and some buses. 7 students can fit in a van and 25 students can fit in a bus​

Answers

Answer: What is the Question?

PLEASE HELP NOW!!
The sum of two numbers is 112. Their difference is 34. Find the smaller number.

Answers

Answer: i believe the answer is 78

Explanation:
34+ 78 =112
112 -34 = 78

Simplify the expression:

9(–4 + 4b)

Answers

Answer:

-36+36b

hope this helps

Answer:

-36+36b

Step-by-step explanation:

9×-4=-36 and 9×4b is 36b

What is the slope of the line? please help right answers only please!

Answers

Answer: 2

Step-by-step explanation:

[tex]Slope = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } \\Slope = \frac{3 - 1}{1} = 2[/tex]

Answer:

2

Step-by-step explanation:

I need the answer for this slope question

Answers

Answer: -x

Step-by-step explanation: rise is -1 per run of 1 unit (x) so -1/1 using rise/run, -1/1 = -1 so the slope is -1x which is -x

please hurry and if you answer please explain how you get that answer and if your right i will give brainiest please and thank you.

Answers

Answer:

answer what?

Step-by-step explanation:

What’s the question.?

Solve -2z – 5 > 3 for z.

Answers

Answer:

z= -4

Step-by-step explanation:

first you add 5 to both side, then you divide 8 by -2, then you get z = -4

Answer:

z < -4

Step-by-step explanation:

Find x:




explain if you can!

Answers

Answer:

x is 97

Step-by-step explanation:

the interior angles have to equal 180 and the exterior angles have to come to 360 degrees

so you already know 23 to find the one by the 106 degree you use the linear pair postulate ( angles on a straight line will equal 180) so 180-106 equals 74. Now you have 2 of the three interior angles. To find the third you take 180 - 74 - 23 which equals 83 then you can use the linear pair postulate again and take 180-83 to get your answer for x which equals 97

You are walking on a number line. Your standing position is -3. You make 7 steps forward and 5 steps backwards. Write an equation for this situation. Oou

Answers

Answer: ik this might sound off, but the answer is negative one (-1 )

Step-by-step explanation:

-3 + 7 = 4

4 - 5 = -1

hope this helped!

plz do plz do it all i wil give brainlest and thanks to best answer

Answers

Answer:

For question number 1. (Or in your case 15) it is 144 yd2

For question number 2 (or in you case 16) its 55.2 in2

Step-by-step explanation:

1. Total Surface Area Atot = 144 yd2

Lateral Surface Area Alat = 96 yd2

Top Surface Area Atop = 24 yd2

Bottom Surface Area Abot = 24 yd2

2.

Volume V = 55.2 in2

Bottom area Abot = 15.9 in2

math math math!!!! :/

Answers

the answer is B your welcome

Answer:

Choice D: A rabbit jumps 2 feet. A kangaroo jumps 16 feet. The kangaroo jumps 8 times as far as the rabbit.

Step-by-step explanation:

Ok if I have to explain this, this might be the only way.

(rabbit)(rabbit)

(Kangaroo)(Kangaroo)   (Kangaroo)(Kangaroo)   (Kangaroo)(Kangaroo) (Kangaroo)(Kangaroo)   (Kangaroo)(Kangaroo)   (Kangaroo)(Kangaroo) (Kangaroo)(Kangaroo)   (Kangaroo)(Kangaroo)

I know this is bad but this shows how many feet the rabbit and kangaroo had jumped. The rabbit jumps twice, but the kangaroo jumps 8 more times than the 2 times the rabbit had jumped.

When Sophia solved her equation, she got x = 7, but when she plugged 7 back into the equation, she got 3 = 9. What could this tell Sophia?​

Answers

i suppose this can tell sofia that she solved the equation wrong and the answer is not x=7
This tells Sophia that she was wrong and probably needs to divide

What is the length of the diagonal of the square? Round to the nearest tenth?

Answers

Answer:

7.1 inches

Step-by-step explanation:

A square has equal sides. Diagram of the square has been drawn in the attachment below.

Thus,

x = length of the diagonal of the square

Using Pythagorean Theorem,

x² = 5² + 5²

x² = 25 + 25

x² = 50

x = √50

x = 7.1 inches (nearest tenth)

Someone pls help I will mark brainliest

Answers

C is the answer!! I hope this helps!!!

Rewrite the fraction as a decimal. 7/4

Answers

Answer:

1.75 is the answer

Step-by-step explanation:

because 4/4 is 1 And 3/4 is .75 and 1 + .75 is 1.75

Answer:

1.75

Step-by-step explanation:

Divide 4 into 7 to get 1.75

Jose says he knows that the decimal representation of a fraction, such as 3/8 , will be a terminating decimal if he can scale up the denominator to make a power of 10. What scale factor would Jose need to use to rewrite 3/ 8 as x / 1000 What is the decimal representation ?

Answers

Answer:

0.00038

Step-by-step explanation:

easy to answer

Find the perimeter of the triangle:
And can you explain to me why

Answers

The answer is 4 and a half, hope it helps:)

Answer:

9 u²

Step-by-step explanation:

P=a+b+c is the formula for the perimeter of a triangle, so its literally the same as all perimeters in general, just add the length of the sides.

High school and up plssss help. I’m doing corrections so it’s not B and can you explain it for me

Answers

Answer:

A 3/4

Step-by-step explanation:

I hope this helps you out!

The answer is 3/5. Tangent is equal to opposite/adjacent (TOA in SOH CAH TOA). The 3 is opposite the angle D and the 5 is adjacent to the angle D.

hope that helps, good luck!

Brainliest for the correct answer 20 points!!!!

Answers

Answer:

5, 7

Step-by-step explanation:

Answer: y= -1/3x + 5

Step-by-step explanation:

Which is biggger -2/5 or -3/2

Answers

Answer:

Step-by-step explanation:

-2/5

The ratio of the measures of the sides of a triangles is 9:7:3. If the perimeter of the triangle is 266 inches, find the value of x

Answers

Answer: Depends on which side x is...

Step-by-step explanation:

This is my strategy for finding the values using ratios

Add the ratio together: 9 + 7 + 3 = 19

Divide the perimeter by the sum of the ratio: 266/19 = 14

Now we know what a unit of one is on the ratio: 14

Multiply this unit by the ratio amount

Side with ratio 9: 9 × 14 = 126 inches

Side with ratio 7: 7 × 14 = 98 inches

Side with ratio 3: 3 × 14 = 42 inches

Hope this helps?

April took out a $600 loan from the bank. At the end of 5 years she pays back the principal, plus $60 simple interest. What was the annual interest rate?

Answers

Answer:

2 percent

Step-by-step explanation:

i took the test

what is 0 divide by 0?

Answers

Answer: 0

Step-by-step explanation: Here is an example:

Cookie Monster has 0 cookies you are trying to split the 0 cookies among zero friends. How many cookies do the 0 friends get? See it just doesn’t make sense. And Cookie Monster is sad because he has no cookies and you are sad because you have no friends. (Answer by SIRI, if you ask her, this will be her response! >:( Don’t worry, you have friends! :3!)

Find the solution please please please

Answers

Answer:

1. 5y-2

Step-by-step explanation:

1. 2(3y-4)-y-2

6y-4-y-2

5y-2

i only could figure out this one :( sorry love

Find the value of each trigonometric ratio. 1) sin X 28 Z 21​

Answers

Answer:

.

Step-by-step explanation:

Identify each pair of angles.
4 and 5
alternate interior
alternate exterior
consecutive interior
corresponding

Answers

I believe it should be alternate interior angles

2 ways to solve 20=5(-3+x) ?

Answers

Answer:

one way:                another way:

20=5(-3+x)             20=5(-3+x)

4=-3+x                   20=-15+5x

7=x                        35=5x

                             7=x

                             

A student used the equation below to create a table.
y = -3x - 5
The student used -2 as one of the values for the input. Which ordered pair could be taken from the table?
O (-11, -2)
O (-2, -11)
O (-2,1)
O (1, -2)

Answers

Answer:

I think the answer is D (1,-2)

Answer:

the answer is (-2, 1)

Step-by-step explanation:

you'll get this answer by substituting x with -2 and solving the equation : (-3*-2)-5=1

Dad has 5 cars , mum has 3 cars. How many do they have between them

Answers

Answer:

8

Step-by-step explanation:

5+3 = 8

plz help math homework​

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

2⋅2⋅3⋅3=36

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