find the value of c so that (x+2) is a factor of the polynomial p(x). p(x)=4x^3+cx^2+x+2

Answers

Answer 1

Answer:

c = 8

Step-by-step explanation:

Use synthetic division here; it's the fastest approach.

Given that (x + 2) is a factor, take -2 and use this as the divisor in synthetic division:

-2     4         c                1           2

                  -8    (-2c+ 16)      (4c-34)

       ---------------------------------------------

         4    (c - 8)   (-2c + 17)     4c - 32

The remainder, 4c - 32, must equal zero if (x + 2) is a factor.

Then 4c - 32 = 0, and c = 8

Answer 2

Answer:

Altavistard is right, the answer is 8

Step-by-step explanation:

go look at altavistard...


Related Questions

Divide the sum of 3/4 and −4/7 by their difference

Answers

Answer:

5/37.

Step-by-step explanation:

Sum:

3/4 + -4/7

= 21/28 - 16/28

= 5/28

Difference:

3/4 -  (-4/7)

= 3/4 + 4/7

= 21/28 + 16/28

= 37/28.

Dividing:

5/28 / 37/28

= 5/28 * 28/37

= 5/37.

HELP HELP HELP HELP HELP HELP HELP HELP HELP

Answers

Answer:

y = 6|x|

Step-by-step explanation:

y = |x|

When we scale vertically, we multiply by a constant

y = a f(x)

We are multiplying by 6

y = 6|x|

Cost of a sled: $49.50
Markup: 80%
What’s the selling price

Answers

Answer:

39.6

Step-by-step explanation:

Help! Can someone please explain!

Answers

Answer:

( 3 x − 2 ) ( x − 2 ) = 0

Set  3 x − 2  equal to  0  and solve for  x .

x = 2 3

Set  x − 2  equal to  0  and solve for  x .

x = 2

The solution is the result of  3 x − 2 = 0  and  x − 2 = 0. x = 2 3 , 2

The result can be shown in multiple forms.

Exact Form: x = 2 3 , 2

Decimal Form: x = 0. ¯ 6, 2

Step-by-step explanation: There you go hope it helps

In circle P diameter QS measures 30 cm.

What is the approximate length of arc QR? Round to the nearest tenth of a centimeter

a. 7.2 cm
b. 25.8 cm
c. 94.2 cm
d. 14.4 cm

PLEASE HURRY!! I HAVE LIMITED TIME!! :)

Answers

Given:

The diameter of the circle P is 30 cm.

The radius of the circle P is 15 cm.

The measure of ∠RPS is 125°

We need to determine the arc length of QR.

Measure of ∠QPR:

The angles QPR and RPS are linear pairs.

Thus, we have;

[tex]\angle QPR + \angle RPS=180^{\circ}[/tex]

Substituting the values, we have;

[tex]\angle QPR + 125^{\circ}=180^{\circ}[/tex]

          [tex]\angle QPR =55^{\circ}[/tex]

Thus, the measure of ∠QPR is 55°

Arc length of QR:

The arc length of QR can be determined using the formula,

[tex]Arc \ length =(\frac{\theta}{360})2 \pi r[/tex]

Substituting [tex]\theta=55[/tex] and r =15, we get;

[tex]Arc \ length =(\frac{55}{360})2 (3.14)(15)[/tex]

[tex]Arc\ length = \frac{5181}{360}[/tex]

[tex]Arc \ length =14.4 \ cm[/tex]

Thus, the arc length of QR is 14.4 cm.

Hence, Option d is the correct answer.


One zip Weighs as much as three zaps two zaps weight as much as five zowies three zowies weigh as much as two swooshes if one weighs sixty pounds how much does a zip weigh

Answers

Answer:1 zip weighs 30 lb

Step-by-step explanation:

3 zowies = 12 lb. so, 1 zowie = 4 lb.

2 zap = 20 lb. so, 1 zap = 10 lb.

1 zip = 30 lb.

One zip weighs 360 pounds.

1. One zip weighs as much as three zaps.

2. Two zaps weigh as much as five zowies.

3. Three zowies weigh as much as two swooshes.

4. One swoosh weighs 60 pounds.

We need to find the weight of one zip.

Step 1: Find the weight of one swoosh.

Since one swoosh weighs 60 pounds, we have:

1 swoosh = 60 pounds

Step 2: Find the weight of three zowies.

Since three zowies weigh as much as two swooshes, and one swoosh weighs 60 pounds, we have:

3 zowies = 2 swooshes = 2 * 60 = 120 pounds

Step 3: Find the weight of two zaps.

Since two zaps weigh as much as five zowies, and three zowies weigh 120 pounds, we have:

2 zaps = 5 zowies = 120 pounds

Step 4: Find the weight of one zip.

Since one zip weighs as much as three zaps, and two zaps weigh 120 pounds, we have:

1 zip = 3 zaps = 3 * 120 = 360 pounds

Round to the underlined place​

Answers

Answer:

I think its 12.0 not sure

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

11.9781

This is simple if its 1-4 it goes down a number 5-9 it goes up

its 7 is the one to the right so the 9 to the left goes up which makes the whole number round up so the answer is 12 :)

I hope this helps :)

help please 6x^2-18

Answers

Answer:

6(x^2-3)

Step-by-step explanation:

What is the slope of the line represented by the equation y =4\5x-3

Answers

Answer:

4/5

Step-by-step explanation:

For lines represented by the equation "y = mx + b", m is the slope. In this case, m = 4/5

part 1-Four friends each took a different path walking from the lunchroom to the gymnasium. The table shows the distance that each of them walked. Who walked the farthest? Rowan- 150 yd Janelle-429 ft 8 in. Domingo-130 yd 2 ft
Lydia-460 ft

part 2-Write the distance Domingo walked in feet and inches.

Answers

Answer:

Part 1= Lydia

Part 2= 392 ft or 4704 in

Step-by-step explanation:

let me know if you need any other help:)

Please help, the lockdown is really messing me up.​

Answers

Answer:

Height of the cuboid= 2.5 cm

Step-by-step explanation:

Volume of a cuboid = length× width ×height

=> 100=8×5× h

=

[tex]h = \frac{100}{8 \times 5} [/tex]

[tex]h = 2.5[/tex]

height of the cuboid= 2.5 cm

Based on the side lengths given (a, b, and c), which triangles are right triangles?
A)a=18
b=24
c=42

B)a=33
b=56
c=65

C)a=19
b=180
c=181

D)a=3
b=4
c=7

Answers

Answer:

B & C

Step-by-step explanation:

Use the Pythagorean Theorem:   a^2 + b^2 = c^2

A) 18^2 + 24^2 = 2,088   |   42^2 = 1,764     [NOT A]

B) 33^2 +56^2 = 4,225   |   65^2 = 4,225     [B IS CORRECT]

C) 19^2 + 180^2 = (32,761) = 181^2 = (32,761)     [C IS CORRECT]

D) 3^2 + 4^2 = 25  |   7^2 = 49     [NOT D]

I hope this helped you ! In return, please deem this the most brainliest answer.

Circle P has a circumference of approximately 75 inches.
What is the approximate length of the radius, r? Use 3.14
for 7. Round to the nearest inch.
O
O
O
O
12 inches
24 inches
38 inches
46 inches
Save and yit
Submit

Answers

Okay, we are going to solve this backwards!

First, we need to know that the formula for circumference is

c = π × d

d = diameter

π = 3.14

They told us what the circumference is, so let's plug it in

75 = (3.14) × (d)

let's solve for d

[tex]\frac{75}{3.14} = d[/tex]

d = 23.88 inches

We must remeber that the radius is HALF of the diameter, so let's divide the diameter by 2

[tex]\frac{23.88}{2} = 11.94[/tex]

Now, let's round to the nearest whole inch like they suggested

11.94 ≈ 12

The answer is 12 inches!

The answer would most likely be 12.the reason because when you do 75 divided by 3.14 =23.885,then 23.885 divided by 2 is 11.94,when rounded is 12 inches. You welcome,and have a nice day

How can we interpret |-50| in context?

A. amount of money you have left on account

B. amount of money you owe the bank

C. negative 50 dollars

Answers

Answer: The answer is B, The amount of money you owe to the bank. Maybe A.....

( Vote me brainliest answer , please )

B. It’s the only answer that makes sense

steve has a photo and a rectangular piece of card. the photo is 16cm by 10cm. the card is 30cm by 15cm. steve cuts along the dotted line shown in the diagram below teve throws away the piece of card that is 15 cm by x cm. The piece of card he has left is mathematically similar to the photo. Work out the value of x.

Answers

Answer:

24cm

Step-by-step explanation:

The photo stays the same, the card changes. They must be proportional to each other.

15 by x cm means the 30 is going to be shortened, since it is being cut.

16 / 10 = 1.6

1.6 x 30 = 24

        or

[tex]\frac{16}{10} = \frac{x}{15} \\\\Divide\\\\\frac{16}{10} *\frac{15}{x} = \frac{240}{10x} = 24[/tex]

The height of a cylinder is twice the radius of its base. A cylinder has a height of 2 x and a radius of x. What expression represents the volume of the cylinder, in cubic units? 4πx2 2πx3 πx2 + 2x 2 + πx3

Answers

Answer:volume of the cylinder = 2π[tex]x^{3}[/tex]

Step-by-step explanation:

The height of a cylinder is twice the radius of its base.

Let the height of the cylinder = 2x

Let the radius of the cylinder = x

By formula, volume of the cylinder = π[tex]r^{2}[/tex] h

here r = x, h = 2x

substituting the values in the equation, we get

volume of the cylinder = π[tex]r^{2}[/tex] h =  π [tex]x^{2}[/tex] (2x)

volume of the cylinder = 2π[tex]x^{3}[/tex]

The expression that represents the volume of the cylinder is 2x³π.

What is the volume of the cylinder?

A cylinder is a three-dimensional object that is made up of a two circles that are attached to a rectangle.

Volume of a cylinder = πr²h

2xπx² = 2x³π.

To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219

#SPJ2

Marvin used a customary unit of measure to estimate the weight of a watermelon he grew in his backyard what could the estimated weight be

Answers

Answer:

Usually pounds (lb) .About an an average of  20 to 25 pounds (lbs)

Step-by-step explanation:

Since Marvin uses Customary units, and considering the Watermelon.

Pounds,  He could estimate based on average of 20 to 25 pounds.

He could choose another customary units, but it wouldn't be practical and unusual to say a watermelon of 160 quarters, also it would leave all the listeners without parameters.

So, definitely pounds.

Which fraction has the greatest value 1/3 2/3 2/9 2/9

Answers

Answer:

Fraction 2/3 has greatest value among the fractions 1/3,  2/3, and 2/9.

Greatest fraction to be determine among the fractions 1/3,  2/3, and 2/9.

What is the fraction?

Fraction is defined as the number of composition constitute the Whole.

Here,

1/3 = 0.33, 2/3 = 0.66 and 2/9 = 0.22.

2/3>1/3>2/9

Thus, fraction 2/3 has greatest value among the fractions 1/3,  2/3, and 2/9.

How would you classify the number zero (in the most narrow category)?

Answers

Answer:

It would be a rational number.

Step-by-step explanation:

Definitely not a natural number but it is a whole, an integer, a rational, and a real number. It may not be obvious that zero is also a rational number.

What is the rule of f(0)

Answers

Answer:

F(0)=(-4)x+1

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

f(0) = 4^0 -1 =0   because : 4^0 = 1

What is the solution to this equation?

a/6-11=25

What does a equal?

Answers

Answer:

Step-by-step explanation:

6x(a/6)-6x11=25x6

a-66=150

a=216

Which relation describes a function?
{(0,0), (0, 2), (2.0), (2, 2)}
{(-2, -3), (-3, -2), (2,3), (3, 2)}
{(2,-1), (2, 1), (3,-1), (3, 1)}
{(2, 2), (2, 3), (3, 2), (3, 3)}

Answers

Answer:

{(-2, -3), (-3, -2), (2,3), (3, 2)}

Step-by-step explanation:

A function is a set of ordered pairs in which no two pairs have the same first number.

In other words, an x cannot be paired with two y's.

A function takes an x and pairs it with one and only one y.

{(0,0), (0, 2), (2.0), (2, 2)} is not a function because it pairs 0 with both 0 and 2.

{(2,-1), (2, 1), (3,-1), (3, 1)} is not a function because it pairs 2 with both -1 and 1.

{(2, 2), (2, 3), (3, 2), (3, 3)} is not a function because it pairs 2 with both 2 and 3.

The function is b) {(-2,-3), (-3,-2), (2,3), (3,2)}

Which numbers are equivalent to 0.24?

Choose all answers that are correct.


A.



B.
2.4%


C.



D.
24%

Answers

Answer:

Step-by-step explanation:

Answer:

24%

Step-by-step explanation:

Since O.24 converted to a fraction is 24/100. 24% is equal to 0.24

PQ⊥PS , m∠QPR=7x−9, m∠RPS=4x+22
Find : m∠QPR

Answers

Given:

It is given that,

PQ ⊥ PS and

∠QPR = 7x-9

∠RPS = 4x+22

To find the value of ∠QPR.

Formula

As per the given problem PR lies between PQ and PS,

So,

∠QPR+∠RPS = 90°

Now,

Putting the values of ∠RPS and ∠QPR we get,

[tex]7x-9+4x+22 = 90[/tex]

or, [tex]11x = 90-22+9[/tex]

or, [tex]11x = 77[/tex]

or, [tex]x = \frac{77}{11}[/tex]

or, [tex]x = 7[/tex]

Substituting the value of [tex]x = 7[/tex] in ∠QPR we get,

∠QPR = [tex]7(7)-9[/tex]

or, ∠QPR = [tex]40^\circ[/tex]

Hence,

The value of ∠QPR is 40°.

n-1/10=2/3 pls help with this

Answers

Answer:

n=23/30

Step-by-step explanation:

n-1/10=2/3

n=1/10+2/3

n=3/30+20/30

n=23/30

Answer:

N=23/30

Step-by-step explanation:

n-1/10=2/3

n=1/10+2/3

n=3/30+20/30

n=23/30

please send help 20 points ,

Answers

Answer:

C.

A.

E.

B.

Hope it will help :)

6x+1 = -8x-13
pleasee

Answers

Answer: [tex]x=-1[/tex]

Add 8x to both sides

[tex]6x+1+8x=-8x-13+8x\\14x+1=-13[/tex]

Subtract 1 from both sides

[tex]14x+1-1=−13-1\\14x=-14[/tex]

Divide both sides by 14

[tex]14x/14=-14/14\\x=-1[/tex]

Answer:

[tex]6x + 1 = - 8x - 13 \\ 6x + 8x = - 1 - 1 3 \\ 14x = - 14 \\ \frac{14x}{14} = \frac{ - 14}{14} \\ x = - 1[/tex]

hope this helps you.....

Why might this group of toys not be a valid sample? Check all that apply.

Answers

Answer:

The sample should represent all the toys produced throughout the day, not just the first and The sample should represent an entire week or month, not just a single day

Step-by-step explanation:

Answer:

B&D

Step-by-step explanation:

Trust me plssss

I need help ASAP right now!!!!!!!!

Answers

Answer:

d

Step-by-step explanation:

The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 18 inches. A solid oblique pyramid has an equilateral triangle base with an edge length of 18 inches. What is the height of the triangular base of the pyramid? 9 √ 2 in. 9 √ 3 in. 18 √ 2 in. 18 √ 3 in.

Answers

Answer:

b.[tex]9\sqrt{3}in[/tex]

Step-by-step explanation:

We are given that

Length of equilateral triangle=a=18 in

Base of oblique pyramid is an equilateral triangle.

We have to find the height of the triangular base of the pyramid

Height of the triangular base of the pyramid,h=[tex]acos\theta[/tex]

We know that each angle of equilateral triangle =60 degree

[tex]\theta=\frac{60}{2}=30^{\circ}[/tex]

Substitute the values

Height of triangular base of the pyramid,h=[tex]18cos30=18\times \frac{\sqrt 3}{2}[/tex]in

Using the value of

[tex]cos30^{\circ}=\frac{\sqrt 3}{2}[/tex]

Height of triangular base of the pyramid,h=[tex]9\sqrt{3}in[/tex]

Option b is true.

Answer:

It's the second option 9 √ 3 in

Step-by-step explanation:

just did it on edge

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