Use the Remainder Theorem to evaluate f(10) for:
f(x) = 2x^3 – 14x^2 - 56x - 40

Answers

Answer 1

Step-by-step explanation:

Since we are told that 10 is a zero,

(x−10) must be a factor:

F(x)=2x3−14x2−56x−40

F(x)=(x−10) (2x2+6x+4)

F(x)=2(x−10)(x2+3x+2)

F(x)=2(x−10)(x+2)(x+1)

So the other two zeros are

x = -2 and x= −1


Related Questions

HELP please!!!!!!!!!!!

Answers

All real numbers are greater than or equal to 0.

If there are 125 boxes of prescription bottle labels at the beginning of inventory cycle, and 25 3/4 remain ,how many boxes of labels remain?

Answers

Answer:

Rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.

Step-by-step explanation:

Given that there are 125 boxes of prescription bottle labels at the beginning of the inventory cycle, and 25 3/4 remain at the end of it, to determine how many boxes of labels remain the following calculation must be performed:

3/4 = 0.75 + 25 = 25.75

125 x 25.75 / 100 = X

3218.75 / 100 = X

32.1875 = X

Thus, rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.

plz give work below​

Answers

Answer:

m < -6 or m > 8

Step-by-step explanation:

m - 2 < -8

Add 2 to both sides of the inequality.

m < -8 + 2

m < -6

m/8 > 1

Multiply both sides of the equation by 8

m/8 ⋅ 8 > 1 ⋅ 8

Simplify.

m > 8

good luck, i hope this helps :)

A spinner has three unusual sections: red, yellow, and blue.. The table shows the results of Nolan’s spins. Find the probability of landing on each color.

Answers

Answers:

Red = 1/3Yellow = 7/15Blue = 1/5

====================================================

Explanation:

Add up all the frequencies in the table to see that there are 120+168+72 = 360 spins total.

Of those 360 spins, 120 of them land on red. The probability of landing on red is 120/360 = (120*1)/(120*3) = 1/3Since 168 land on yellow, this means the probability of landing on yellow is 168/360 = (24*7)/(24*15) = 7/15Lastly, we have 72 occurrences of blue out of 360 total spins. The probability of landing on blue is 72/360 = (72*1)/(72*5) = 1/5

Find the area of the following figure:

Answers

Answer:

138

Step-by-step explanation

The area of a rectangle is 36 square inches, and its perimeter is 26 inches. What are the length and width of the rectangle?

Answers

Answer:

9 and 4

Step-by-step explanation:

The range of this function is {2, 4, 5, 6}
2
4
5
6
8
13
O True
O False

Answers

Answer:

True l True-----------------^~^

In ΔTUV, v = 49 inches, u = 47 inches and ∠U=65°. Find all possible values of ∠V, to the nearest degree.

Answers

Answer: 16

Step-by-step explanation:

sin M/6.3=sin 21/8.2

6.3 sin 21/8.2=0.27533147

sin^-1(0.27533147)=15.981=16

if 7y + 42 <14 then which among the following is true​

Answers

Answer:

[tex]y<-4[/tex]

Step-by-step explanation:

Given

[tex]7y + 42 <14[/tex]

Required

Determine the true statement

Options are not given; but, the question can still be attempted.

[tex]7y + 42 <14[/tex]

Collect Like Terms

[tex]7y < 14 -42[/tex]

[tex]7y < -28[/tex]

Divide through by 7

[tex]\frac{7y}{7} < -\frac{28}{7}[/tex]

[tex]y<-4[/tex] -- This is true

QUESTION:
Rachelle is offered a new job with Big Time Book-Sellers. Her starting wage is $10.00
per hour, and she will receive a $0.50 raise after the first year. For each year that she
stays with the company after that, her raise will be $0.50 more than it was the year
before. How much will Rachelle make per hour in her 7th year working at Big Time
Book Sellers?
A) How would you solve this problem? Explain the steps you would take. What is
your answer?
B) What is one important detail from this problem that you think people might
commonly miss?

Answers

Answer:

Step-by-step explanation:

multiplicas 0.50 por 7 , el resultado es 3.5, 3.5 lo sumas a 10 y eso es el resultado de lo que ella ganaría 13.50 dólares por hora después de trabajar 7 años con ellos.

a)You multiply 0.50 by 7, the result is 3.5, 3.5 l add to 10 and that is the result of what she would earn, $ 13.50 per hour after working 7 years with them.

The table shows a linear relationship between x and y. What is the rate of change of y with respect to x.
A. -9/2
B. 2/9
C. -2/9
D. 9/2

Answers

Answer:

A. -⁹/2

Step-by-step explanation:

Using any two pairs of values form the table, say (-12, 60) and (-6, 33),

Rate of change = ∆y/∆x

= (33 - 60) / (-6 -(-12))

= -27/6

= -9/2

Rate of change = -⁹/2

The rate of change of y with respect to x is -9/2

Option A is correct

For a linear relationship, the rate of change of y with respect to x is given by the formula:

[tex]\frac{\triangle y}{\triangle x} =\frac{y_2-y_1}{x_2-x_1} \\[/tex]

From the table:

[tex]x_1=-20, x_2=-12, y_1=96, y_2=60[/tex]

Substitute [tex]x_1=-20, x_2=-12, y_1=96, y_2=60[/tex] into the equation [tex]\frac{\triangle y}{\triangle x} =\frac{y_2-y_1}{x_2-x_1} \\[/tex]

[tex]\frac{\triangle y}{\triangle x} =\frac{60-96}{-12-(-20)} \\\\\frac{\triangle y}{\triangle x} =\frac{-36}{8}[/tex]

Reduce the expression to the lowest term by dividing the numerator and denominator by 4

[tex]\frac{\triangle y}{\triangle x} =\frac{-9}{2}[/tex]

The rate of change of y with respect to x is -9/2

Learn more on rate of change here: https://brainly.com/question/8728504

Solve for x: 1/2x + 3 = 9​

Answers

Answer:

12

Step-by-step explanation:

Steps
1/2x+3=9
Subtract 3 from both sides
1/2x+3-3=9-3
Simplify
1/2x=6
Multiply Both sides by 2
2*1/2x=6*2
X=12

find the equation of the line passing through (2,3) and (1,5)

Answers

Answer:

y =-2x+7

Step-by-step explanation:

Hello : let  A(2,3)    B(1,5)

the slope is :   (YB - YA)/(XB -XA)

(5-3)/(1-2)  = 2/-1 =-2

an equation is : y=ax+b     a is a slope

y = -2x +b

 

the line through point  (2,3) :  3 = (-2)(2)+b    

b = 7

the equation is : y =-2x+7    

A man ears $15.50 per hour with time and a half for overtime and he worked 46 hours during a recent week. Find his gross pay for the week
The man's gross pay for the week was $
(Round to the nearest cent as needed)

Answers

Answer:

525267262525226

Step-by-step explanation:

594944+757548484-848484%

A student read the first 150 pages of a book that is 450 pages long.
What fraction of the book does the student have left

Answers

Answer:

1/3

Step-by-step explanation:

the book is 450 pages long

the student read 150 pages

so he read 150/450=1/3

Answer:

2/3

Step-by-step explanation:

150x3=450

so 2 thirds

the square root of the sum of twice a number and 3 is 6. find the number​

Answers

Answer in fraction form = 33/2

Answer in decimal form = 16.5

===========================================================

Work Shown:

n = some number

2n = twice that number

2n+3 = "sum of twice a number and 3"

[tex]\sqrt{2n+3}[/tex] = square root of the previous expression

The equation we need to solve is [tex]\sqrt{2n+3} = 6[/tex]

We'll follow PEMDAS in reverse, undoing each operation, to isolate n

[tex]\sqrt{2n+3} = 6\\\\\left(\sqrt{2n+3}\right)^2 = 6^2 \ \ \text{ ... square both sides}\\\\2n+3 = 36\\\\2n+3-3 = 36-3 \ \ \text{ ... subtract 3 from both sides}\\\\2n = 33\\\\\frac{2n}{2}=\frac{33}{2} \ \ \text{ ... divide both sides by 2}\\\\n = \frac{33}{2}\\\\n = 16.5[/tex]

Answer:

[tex]\frac{33}{2}[/tex]

Step-by-step explanation:

 In the problem, "The square root of the sum of twice a number and 3 is 6" can be converted to an equation that looks like this:

Let x be the number:

[tex]\sqrt{2x+3 = 6 }[/tex]

In order to solve the problem:

[tex]\sqrt{2x+3}^2=6^2[/tex]

By squaring both sides to remove the exponent:

[tex]{2x + 3 = 36}[/tex]

Simplify:

[tex]{2x+3-3=36-3}[/tex]

Subtract 3 from both sides:

[tex]{2x = 33 }[/tex]

Then Simplifying further:

[tex]\frac{2x}{2} = \frac{33}{2}[/tex]

Divide both sides by 2 to remove 2 from the x.

[tex]{x = \frac{33}{2} }[/tex]

Thus, meaning the answer is [tex]\frac{33}{2}[/tex]

Hope this helps you.

6/9×4/7 WHOEVER ANSWERS IN UNDER 2 MINUTS I WILL MARK BRAINLIEST

Answers

Answer: 380952381 / 1000000000

Step-by-step explanation:

:)P.s. This simplifies to 8/21 .

Answer:

8/21

Step-by-step explanation:

PLEASE HELP ME
Amelia burns 10 calories for each minute that she spends running. How many calories will she burn if she runs for 20 minutes?
SHOW YOUR WORK

Answers

Answer:

She will burn 200 calories

Step-by-step explanation:

10(number of calories)x20(minutes)=200

Answer:

amelia is running for 20 minutes. so

10 calories per minute

x

20 minutes of running

=

200 calories burned.

10 x 20 = 200

What is the value of x? 2x + 4 = 14

Answers

Answer:

5

Step-by-step explanation:

2x + 4 = 14    ( - 4 )

2x + 10           ( /2)

x= 5

the value of x is 5! please mark me as brainly.

Multiply the sum 5 and 3 and the sum of 8 and 9

Answers

Answer:

136

Step-by-step explanation:

Sum of 5 and 3: 8

Sum of 8 and 9: 17

17 * 8 is 136

Answer: The sum of 5 and 3 is 8 and the sum of 8 and 9 is 17.

a veriable is definded as

Answers

Answer:

Its Basically A Type of pattern In an Equation that you solve.

for example, X=Y. It's Configured as  a pattern.

Step-by-step explanation:

Answer:

A variable is a unknown number or a unknown value.

Commonly used variables are x and y.

Have a nice day!

Hope this helps!

Allen added 16 and 15 for a sum of 1330. Is Allen correct? Explain.

Answers

incorrect 15+16= 31 ???
Answer:
Allen is wrong.

Step-by-step explanation:
16 + 15 = 31

What is the sum of -3/7

Answers

Answer:

-0.4285714286

Step-by-step explanation:

-3/7 = -0.4285714286

0.42. Bun. Ufitb. G up ggivhh

ANSWER THEM PLEASEE I HAVE 20 MINSS

Answers

GIRLL I DONT SEE YOUR PIC

2
3250 m + 1,662 km =

Answers

Answer:

1,665.25 km

Step-by-step explanation:

Find the product of largest 4 digit number and

smallest 3 digit number.​

Answers

Largest 4 digit number =9999
Smallest 3 digit number= 100
So the product of 9999 x 100 = 999,900

Answer:

Largest 4-digit number is 9999 and smallest 3-digit number is 100 and product is 10000.

Step-by-step explanation:

hope it's helpful to you

8th grade math solution problem. Please help

Answers

3x + 2y = 12
x = y - 1

3x + 2y = 12
3 (y - 1) + 2y = 12
3y - 3 + 2y = 12
5y - 3 = 12
5y = 15
y = 3

x = y - 1
x = (3) - 1
x = 2

answer:
(2, 3)

If IM is reflected across the x-axis and then translated along the vector <4, 1>, in
which quadrant is the final image?

Answers

Answer:

Final image L"M" will lie in the fourth quadrant.

Step-by-step explanation:

Coordinates of the ends of segment LM,

L  → (-3, 4)

M → (-3, 2)

Rule to reflect a point across x-axis is,

(x, y) → (x, -y)

By this rule, coordinates of the image point of L and M will be,

L(-3, 4) → L'(-3, -4)

M(-3, 2) → M'(-3, -2)

Further these image points are translated along the vector <4, 1>

Rule for this translation will be,

(x, y) → (x + 4, y + 1)

Now the image points of the points L' and M' will be,

L'(-3, -4) → L"(-3 + 4, -4 + 1)

             → L"(1, -3)

M'(-3, -2) → M"(-3 + 4, -2 + 1)

              → M"(1, -1)

Therefore, final image L"M" will lie in the fourth quadrant.

Mr. O. ran the Disney Marathon in 2 hours 18 minutes. Remember a marathon is 26.2

miles. Show that at least twice he had to be running at a rate of 11 miles per hour.

Determine whether Mean Value Theorem can be applied. If so, find all values x=c that satisfy the theorem, or explain why not.

Calculus AB AP

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Time taken = 2 hours 18 minutes

18 / 60 = 0.3 hours

Hence, time taken = 2.3 hours

Speed = distance / time

Speed = 26.2 / 11.3 = 11.39 mi/hr

Hence, according to the mean value theorem ;

The range of time taken is (0, 2.3) whereby a certain time, t exist when the runner attains a speed of 11.39

Since initial and final velocity is 0 ;

The runner attains a speed of 11 mi/hr between :

(0, 2.3) and (t, 2.3)

Mr. O. ran the Disney Marathon the AB AP is  (0, 2.3) and (t, 2.3).

Given Data: Time taken = 2 hours 18 minutes

        Time taken =18 / 60

        Time taken = 0.3 hours

Hence,

time taken = 2.3 hours

 Speed = distance / time

          Speed = 26.2 / 11.3

          Speed = 11.39 mi/hr

According to the mean value theorem ;

The range of time taken is (0, 2.3) whereby a certain time, t exist when the runner attains a speed of 11.39 Since initial and final velocity is 0 ;

The runner attains a speed of 11 mi/hr between : (0, 2.3) and (t, 2.3)

Thus, the AB and AP is (0, 2.3) and (t, 2.3)

Learn more :

https://brainly.com/question/10410395?referrer=searchResults

Pls help ill give brainliest pls dont answer if you dont know thanks

Answers

Answer:

below

Step-by-step explanation:

$8.56

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