What is the remainder when a^3 - 4 is divided by a+2?
a)0
b)-6
c)-2
d)-12

Answers

Answer 1

Answer:

The remainder is -12. Choice d)

Step-by-step explanation:

The Remainder Theorem

The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-r) is equal to f(r).

We have the polynomial

[tex]P(a)= a^3 - 4[/tex]

To evaluate the remainder when P is divided by a+2, we only have to find P(-2):

[tex]P(-2)= (-2)^3 - 4[/tex]

[tex]P(-2)= -8 - 4=-12[/tex]

The remainder is -12. Choice d)


Related Questions

Moesha and Keyon are mailing invitations for their wedding. They have $50 to spend and each invitation costs $1.25 to mail. The function m=50−1.25w represents the amount of money m Moesha and Keyon have left after mailing w wedding invitations. Find the zero of the function. Describe what this value means in the context of this situation.

Answers

Answer:

The zero of the equation is 40

It means the number of wedding invitations they can send based on their budget

Step-by-step explanation:

To determine the zero of the function, we simply set the dependent variable ( m in this case) to zero.

Thus, mathematically;

0 = 50-1.25w

1.25w = 50

w = 50/1.25

w = 40

So what does this mean in the context of the situation?

What it means is that the total number of people they would be able to send the mail to based on their budget is 40

Answer:

The zero of the function is at

40. This represents that after mailing 40 wedding invitations, Moesha and Keyon will $ 0 left.

Step-by-step explanation:

I got it right and so will you

Find the difference. Write your answer in simplest form.
11 7/16 - 4 7/12=

Answers

Answer:

163          

 ——— = 3.39583

 48            

Step-by-step explanation:

           47

Simplify   ——

           12

Equation at the end of step

1

:

 117    47

 ——— -  ——

 16     12

STEP

2

:

           117

Simplify   ———

           16

Equation at the end of step

2

:

 117    47

 ——— -  ——

 16     12

STEP

3

:

Calculating the Least Common Multiple

3.1    Find the Least Common Multiple

     The left denominator is :       16

     The right denominator is :       12

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 4 2 4

3 0 1 1

Product of all

Prime Factors  16 12 48

     Least Common Multiple:

     48

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 3

  Right_M = L.C.M / R_Deno = 4

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      117 • 3

  ——————————————————  =   ———————

        L.C.M               48  

  R. Mult. • R. Num.      47 • 4

  ——————————————————  =   ——————

        L.C.M               48  

Adding fractions that have a common denominator :

3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

117 • 3 - (47 • 4)     163

——————————————————  =  ———

        48             48

Final result :

 163          

 ——— = 3.39583

 48            

TRIGINOMETRY HELP PLS, Q 9-13 with working out

Answers

Answer:

sorry for my writing

i tried to do as fast as possible

If 4 tickets cost $35, what is the cost for 1 ticket?

Answers

The cost of one ticket is $8.75
The answer is 8.75 because $35 divided by 4 equally equals 8.75 and to show work multiply 8.75 by 4

Solve the system.
4x - 2y + 3z = -3
2x - 3y + 2z = 1
6x + 10Z = -2
Enter your answer as an ordered triple.​

Answers

X= -2
Y= -1
Z= 1
You may use solve this problem by substituting the values as well. If everything goes wrong , go for Cramer’s rule

Find (1.6 X 107) + (3.8 X 108).
Express your answer in scientific
notation.

Answers

Answer:

=3.8x108+1.6x107

Step-by-step explanation:

Answer:  5.816 × 10²

581.6 in scientific notation is 5.816 × 10²

How can you solve a system of two equations or inequalities in which one is linear and one is quadratic?

Answers

Answer:

Solve the inequality as though it were an equation. The real solutions to the equation become boundary points for the solution to the inequality. Make the boundary points solid circles if the original inequality includes equality; otherwise, make the boundary points open circles.

Step-by-step explanation:

Shoppers were surveyed about their spending for holiday shopping. The standard deviation of the amount shoppers
spent was $125. Which of the following is the best interpretation of this value?
FERS
O Fifty percent of the amount shoppers spent is above $125.
O The middle half of the amount shoppers spent has a range that is $125 wide.
O The amount shoppers spent typically varies by about $125 from the mean.
O The difference between the largest and smallest amounts shoppers spent was $125.

Answers

Answer:

The amount shoppers spent typically varies by about $125 from the mean.

Step-by-step explanation:

Thats the Answer on Edgeunity.

Answer:

C. The amount shoppers spent typically varies by about $125 from the mean.

Step-by-step explanation:

Calculate the mean of the given data set. You must show your work to receive all possible points.

68 ,63,67,66,65,87,69,61,86,82,28




Please help!

Answers

Answer:

87

Step-by-step explanation:

In math, the mean is the middle number of a sequence.

15) Find x, y and z. **** Choose 3 Answers
x =52
X= 25
y = 25
y = 65
Z = 25
z = 90

Answers

Answer:

x= 52

y= 25

z= 90

pls mark me as BRAINLIAST

III. Solve the problems below: 42 boys and 63 girls took part in an art competition.(4 pts) Find the ratio of the number of boys to the number of girls (always in the simplest form). Find the ratio of the number of boys to the number of girls to the total number of children (always in the simplest form).

Answers

Answer:

Ratio of number of boys to girls= 2:3

Ratio of number of boys to girls to total number of children= 2:3:5

Step-by-step explanation:

42 boys and 63 girls took part in an art competition

The ratio of the number of boys to the number of girls can be calculated as follows

= 42/63

= 2:3

The ratio of the number of boys to girls to total number of children can be calculated as follows

= 42/63/105

= 2:3:5

What is the decimal version of -1/4?

Answers

Answer:

[tex]-\frac{1}{4}=-0.25[/tex]

Step-by-step explanation:

hope it helps and fell free to put brainist

sanjay is taking 2 more classes than Ha is taking how many classes is ha taking?

Answers

Answer:

2 more classes than Ha? Provide more information, please.

Answer:

NEED MORE INFO

Step-by-step explanation:

A smartphone device has a certain cost. A person gets this smartphone and signs up for a monthly wireless plan with a fixed base price plus a charge per GB of data used. Which is the Independent Variable in this scenario? A. The cost of the smartphone device. B. The charge per GB of data used. C. The number of GB data used. D. The total amount they pay for the new device and new phone plan in the first month. Need an answer fast! Due very soon! Don't understand!

Answers

Answer:

The independent variable is: "the cost of the smart phone"

Step-by-step explanation:

An independent variable is simply one that doesn't depend on other variables measured in the same sentence.

Now, in the question, we are told that the smart phone device has a fixed cost. This means that the cost doesn't depend on any other variable mentioned in the sentence.

Thus, the independent variable is: "the cost of the smart phone"

A sports-equipment researcher was interested in the relationship between the speed of a golf club (in feet per second) and the distance a golf ball travels (in yards). Information was collected on several golfers and was used to obtain the regression equation y = 2x - 106, where x represents the club speed and y is the predicted distance. What is the predicted distance of a ball that is hit with a club speed of 168 ft/seconds?

106 yards
137 yards
230 yards
336 yards

Answers

Answer:

C. 230 yards

Step-by-step explanation:

edge 2020

Answer:

230 Yards is correct. (C)

ED2021

Day 4:
G.CO.5: Quadrilateral PQRS is shown on the coordinate plane.
Part A:
Quadrilateral PQRS is transformed by
translating it right 6 units and then
rotating it 90° clockwise about the
origin. Graph the image of
quadrilateral PQRS after these two
transformations.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Translation right 6 units adds 6 to every x-coordinate. Rotation 90° CW is the transformation (x, y) ⇒ (y, -x). The sequence of transformations gives ...

  (x, y) ⇒ (y, -x-6)

Then the coordinates of the transformed figure are ...

  P(-3, 7) ⇒ P'(7, -3)

  Q(4, 12) ⇒ Q'(12, -10)

  R(4, -2) ⇒ R'(-2, -10)

  S(-3, -7) ⇒ S'(-7, -3)

11. Kevin started a ping pong club at his school,
and the table shows the number of participants
in the club over several years. Find the rate of
change in the number of participants.

Answers

Answer:

16

Step-by-step explanation:

Add 16

Answer:

16

Step-by-step explanation:

1 poin
ALGEBRA: Sandra Woo delivers flowers. She earns $5.50 to deliver a small
arrangement and $8.25 to deliver a large arrangement. Last week she
made 52 deliveries and earned a total of $343.75. How many LARGE
arrangements did she deliver? *

Answers

Answer:

41 large deliveries and 1 small delivery

Step-by-step explanation: Multiply 8.25 x 41 = 338.25

Then take 338.25 and add 5.50 and you should get 343.75

CAN SOMEONE PLEASE HELP ME ASAP PLEASEE ANYBODY LITERALLY ANYONE OUT THERE PLEASE. Determine m∠FNT and Determine m∠KTU.

Answers

Answer:

Angle FNT = 120 Degrees because the angles labeled 7a+50 and 14a-20 are the same because the lines are parralel so you can set them equal to eachother 7a+50=14a-20 and find that a=10 After this you plug 10 into either 7a+50 and 14a-20 to get 120. You know Angle FNT is 120 degrees because it is directly across from 7a+50 which means they are the same. Then the measure of Angle KTU is 60 because Angle KTN + Angle KTU needs to add up to 180.  

Quadratic function f is shown on the graph.

Function f is symmetrical around the point ___ .
A. (6,0)
B. (0,3)
C. (4,-1)
D. (2,0)

This point is the ___ of function f.
A. minimum
B. maximum

Answers

Answer:

(4,-1) Minimum

Step-by-step explanation:

Answer:

Step-by-step explanation:

Function f is symmetric around the point

(4,-1)

. This point is the

minimum

of function f.

A dolphin can leap 15 feet out of the water. The world record high jump for a human is 8
feet. How much higher can a dolphin leap than a human?

Answers

Answer:

7 feet

Step-by-step explanation:

becuse you do 15-8 and get 7

Insert two geometric means between 729 and 64​

Answers

Answer:

324 and 144

Step-by-step explanation:

We require

a₁, a₂, a₃, a₄

where a₂ and a₃ are the required geometric means

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 729 and a₄ = 64, thus

729(r³) = 64 ( divide both sides by 729 )

r³ = [tex]\frac{64}{729}[/tex] ( take the cube root of both sides )

r = [tex]\sqrt[3]{\frac{64}{729} }[/tex] = [tex]\frac{4}{9}[/tex] , then

a₂ = 729 × [tex]\frac{4}{9}[/tex] = 81 × 4 = 324

a₃ = 324 × [tex]\frac{4}{9}[/tex] = 36 × 4 = 144

Thus

729, 324, 144, 64

What is the slope of the line that includes the points (3, -2) and (6,-11)? Show work.


I'll give BRAINLIEST !!

Answers

Answer:

-3

Step-by-step explanation:

Help keep simple math 37 points

Answers

The answer is 10% I think

Calculate the area of the triangle? What is the best way to solve it

Answers

Answer: Find the the height and length of the triangle. I'm not sure what it would be but then use a1  + a2 to find the area

Answer:

Formula of triangle: A = 1/2 x b x h

Step-by-step explanation:

Solve the base of the triangle by solving the distance between points (-2,0) and (f, -5) in units, and then do the same for height: find distance between points (-2, 6) and (-2, 0). Once you find the distance, input value of base and height into the formula and solve to get the area!

What is -3(5x-1)=-27?

Answers

Answer:

2

Step-by-step explanation:

5x-1=9

5x=9+1

5x+10

x=2

Over which interval is the graph of y = cos(x) strictly increasing?


0 less-than x less-than StartFraction pi Over 2 EndFraction

0 < x < π

StartFraction pi Over 2 EndFraction less-than x less-than StartFraction 3 pi Over 2 EndFraction

π < x < 2π

Answers

Answer:

D

Step-by-step explanation:

The interval at which the graph of y = cos x is strictly increasing is

π < x < 2π.

Option D is the correct answer.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

y = cos x

Cos π = cos (π/2 + π/2) = Sin π/2 = 1

Cos 2π = Cos (π + π) = - Cos π = - Cos (π/2 + π/2) = - Sin π/2 = -1

We see that,

y = Cos x is strictly increasing from -1 to 1.

Thus,

y = cos x is strictly increasing from π < x  < 2π.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ2

Solve for r 5(r-10)=-51

Answers

Answer:

r=−1/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5(r−10)=−51

(5)(r)+(5)(−10)=−51(Distribute)

5r+−50=−51

5r−50=−51

Step 2: Add 50 to both sides.

5r−50+50=−51+50

5r=−1Step 3: Divide both sides by 5.

5r/5=−1/5

r=−1/5

Answer:

r = - ¹/₅ or -0.2

Step-by-step explanation:

5(r - 10) = -51

5r - 50 = -51

5r = -51 + 50

5r = -1

r = - ¹/₅ or 0.2

Geometry
Please help me with my homework! Thank you!!

Which angle forms an alternate interior angle pair with <3?

I put <5 and it was wrong

Answers

The answer is angle 7

A point moves in the plane in the following sequence.
A point moves down 2 units, reflects over the x-axis, moves right 4 units, and then reflects over the y-axis.
Which of the following points follows the sequence and has the same starting and ending point?
A. (2, 3)
B. (–1, 1)
C. (–3, –3)
D. (–2, 1)

Answers

Answer:

D

Step-by-step explanation:

The answer is point D(-2,1).

1. If the point D was moved down 2 units, then its coordinates became (-2,-1).

2. If point (-2,-1) was reflected over the x-axis, then its coordinates became (-2,1).

3. If the point (-2,1) was moved 4 units to the right, then its coordinates became (2,1).

4. If point (2,1) was reflected over y-axis, its coordinates became (-2,1).

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