Mathematics College

Use the Remainder Theorem to find the
remainder when dividing f(x) = 4x^3 - 2x^2 + 7x - 1
by x - 1.

Answers

Answer 1

Answer:

f(1) = 8

Step-by-step explanation:

x - 1 = 0

x = 1

f(x) = 2x² + 7x - 1

f(1) = 2*1² + 7*1 - 1

     = 2 + 7 - 1

     = 9 - 1

f(1) = 8

Related Questions

Which step in the solution contains the first error?

Answers

9514 1404 393

Answer:

  Step 4

Step-by-step explanation:

In Step 1, the first equation is correctly multiplied by 2.

In Step 2, the two equations from step 1 are correctly added.

In Step 3, the value of x is correctly determined by dividing by 11.

In Step 4, the value of x is incorrectly substituted for y in the original first equation.

The first error is in Step 4.

Solve the
equation:
-22 + x = 11

Answers

Answer:

[tex]x=33[/tex]

Step-by-step explanation:

Add 22 to both sides of the equation.

[tex]x=11+22[/tex]

Add 11 and 22.

[tex]x=33[/tex]

Answer:

x=33

Step-by-step explanation

Regroup terms.

x−22=11

Add 22  to both sides.

x=11+22

Simplify  11+22  to  33

ANDDDD the answer isss

x=33

I need help. Thanks in advance

Answers

Answer:

6u²−3uv²−4u⁴+5uv

Step-by-step explanation:

i had a test with this and got it right

HELP! ASAP!

Select all the expressions with a value of less than one.

Answers

Answer: all but the first one because anything to the power of 0 is one and -1 is lower than 1

Answer:

B, C, D, E

Step-by-step explanation:

A dinner party is being organized with the option of 7 dinner choices to serve at the venue. Since catering is expensive, the host asks everyone attending to rank each dish. The top ranked dish will be served at the venue. What is the probability that your favorite dish is the chosen dish served at the venue?

Answers

Answer: 1/7

Step-by-step explanation:

There are seven dishes in total. Only one dish will be served at the venue and you can only have one top-ranked dish. Thus, there is a one in seven probability of your favorite dish is the one chosen to be served.

2.x2-9x + 18
А. x-2
В. Х-3
С. x+2
D. x+ 3

Answers

The cookies answer would be A

if you drink two 12 ounces soda a day, how much soda do you drink per week?

Answers

Answer:

168

Step-by-step explanation

12+12=24 so 24x7=168

A rectangular building with a square front is to be constructed of materials that costs 11 dollars per ft2 for the flat roof, 14 dollars per ft2 for the sides and the back, and 15 dollars per ft2 for the glass front. We will ignore the bottom of the building. If the volume of the building is 5,600 ft3, what dimensions will minimize the cost of materials? (Round your answers to the nearest hundreth such that the dimensions increase from the smallest to the largest.)

Answers

Answer:

y = 23.14 ft

x = 15.56 ft

so the dimensions of the building will be = 15.56 ft x 15.56 ft x 23.14 ft

Step-by-step explanation:

the area of the roof = xy

cost of the roof = 11xy

the area of the sides and back = 2xy + x²

cost of the sides and back = 14(2xy + x²) = 28xy + 14x²

area of the glass front = x²

cost of the glass front = 15x²

minimize:

total cost = 11xy + 28xy + 14x² + 15x² = 39xy + 29x²

total volume = x²y = 5600 ⇒ constraint

39y + 58x = 2λxy

39x = λx2

x²y = 5600

λx = 39 which we replace into the first equation

39y + 58x = 78y

58x = 39y

(58x)²y = 58² · 5600

now we replace 58x by 39y

(39y)²y = 58² · 5600

39² · y³ = 58² · 5600

y³ = (58² · 5600) / 39² = 12,385.53583

y = ∛12,385.53583  = 23.14 ft

x² = 5600/ 23.14 = 242.04

x = 15.56 ft

Write the slope-intercept form of the equation of the line.
slope = 0, y - int=1

Answers

Answer:

y= 1

Step-by-step explanation:

This is because there will be no increase or decrease of x since we have no slope to take us there so it will remain constant at the y value

Hope This Helps :)

Answer:

The answer is there. Look it up.

Step-by-step explanation:

A transportation agency has one 38-seater bus and some 13-seater buses. They have enough seats to board no more than 417 passengers on
their buses. Which inequality represents the possible number of 18-seater buses they have.
Ov12

Answers

Answer:

24

Step-by-step explanation:

Each side of a square is increasing at a rate of 6 cmys. At what rate is the area of the square increasing when the area of the square is 16 cm2?

Answers

Answer:

 k I think it is 16v cm 4

Step-by-step explanation:

What is the area of the right triangle below?

Answers

Answer:  The  answer  is  a  25  square  units

Step-by-step explanation:

Solve the equation for x do not include "x=" in your answer -2+/3x-2=6

Answers

Answer:

x=1=2y

Step-by-step explanation:

Write the slope-intercept form of the equation of the line.
slope = -5, y - int = -3

Answers

Answer:

y= -5x-3

Step-by-step explanation: Hope this helped!!!

btw can i have brainliest?

RSTU is a parallelogram. Solve for x. Please help!

Answers

The answer is B-0

Work:

I just need number 1

Answers

b is the awnser

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

There are 96 squares in total. Yard is 3 feet, so you would divide the total by 3.

7. Write the slope-intercept form of the equation of the line.
slope = -5 , y - int = -1

Answers

It is c because the right equation is y=Mx+b

Answer:

Y=-1/5x-1

Step-by-step explanation:

Combine the slope then the slope intercept.

They were 64 dogs and cats at the pet store. If 25% were cats, how many cats were at the pet store?

Answers

Answer:

16 are cats

Step-by-step explanation:

64 x 25%

64 x .25

16

Answer:

there are 16

Step-by-step explanation:

beacuse 25% of 64 is 16 like duh

which integer represents each situation
deposit of $15​

Answers

Answer: +15

Step-by-step explanation: A deposit of $15 is an increase,

which means that it's positive.

So it can be written as +15.

4. An isosceles triangle has sides that measure 7cm and 15cm. Find the third side of the
triangle, then find the perimeter.

Answers

Answer:

Third side is 15cm. Perimeter is 37cm.

Step-by-step explanation:

In a triangle sum of two sides is always greater than third side. Two sides of a isosceles triangle are equal.

So if the third side is 7cm

7+7=14cm which is less than 15 cm.

hence third side is 15 cm as

15+15=30cm which is greater than 7cm

15+7=22cm which is greater than 12cm

then

perimeter=15+7+15=37cm

5% of items in a large batch of items produced at a local foundry' are defective. If 50 of these items are selected at random, what is the probability that exactly 2 of the items will be defective? Round to four decimal places.

Answers

Answer:

0.2611

Step-by-step explanation:

We have x to be binomially distributed random variable which denotes the items number that are defective

We have been given n = 59 as our sample size

Probability of 5% = probability of success

1-5% = 0.95

We solve using this formula

nCxP^xq^n-x

= 50C2(0.05)²(0.95)^50-2

= 0.2611

This is the probability that exactly 2 would be defective

Beth deposited $ 4,000 in a collage fund earning 3.5 % simple interest.

what was the total interest earned at the end of 12 years.

Answers

Answer:

140 total interest

Step-by-step explanation:

Devaughn is 7 years older than Sydney. The sum of their ages is 89. What is Sydney's age?

Answers

Answer: 82

Step-by-step explanation:

sydney is 82

to figure it out, you just subtract 89 - 7

Sue is upholstering a rectangular ottoman that measures 21 centimeters by 18 centimeters by 15 centimeters. What will be the total square centimeters of fabric that Sue must use to cover all faces of the ottoman?

Answers

Answer:

1926cm²

Step-by-step explanation:

Given

Dimension = 21cm by 18cn by 15cm

The illustration in this question is to determine the surface area of the fabric and this is calculated using the surface area of a cuboid as follows:

[tex]Surface\ Area =2(LB + LH + BH)[/tex]

Where L, B and H are the dimensions.

So,

[tex]Surface\ Area = 2(21 * 18 + 21 * 15 + 18 * 15)[/tex]

[tex]Surface\ Area = 2(378 + 315 + 270)[/tex]

[tex]Surface\ Area = 2(963)[/tex]

[tex]Surface\ Area = 2 * 963[/tex]

[tex]Surface\ Area = 1926cm\²[/tex]

Hence, 1926 cm² of fabrics are needed to cover all surfaces.

If Pam has 30 dollars in her account, how much money does her brother have in his account if the total is $100? Use a tape diagram to support your answer.

Answers

Your answer will be $60

solve 58×29 using a area model​

Answers

Answer:

1,682

Step-by-step explanation:

Answer:

1,682

Step-by-step explanation:

In a circle, what is the ratio of the circumference to its diameter?
area
radius
volume
PI

Answers

Answer:

D. pi

Step-by-step explanation:

Circumference of a circle = [tex] \pi d [/tex]

Diameter = d

Therefore, ratio of circumference of a circle to its diameter would be:

[tex] \pi d : d [/tex]

[tex] = \frac{\pi d}{d} = \pi [/tex] => (d cancels d)

Therefore, the ratio of the circumference of a circle to its diameter is [tex] \pi [/tex]

Find the temperature indicated on this thermometer.

Answers

Answer:

55 degrees

Step-by-step explanation:

always the middle of the thermometer is 15,25,35,45,55,65,75,85,95 etc.

N+3(n-1) i need helpppp

Answers

Answer:

4n - 3

Step-by-step explanation:

N + 3 (n - 1)

N + 3n - 3

4n - 3 is the final answer  

hope that helps :))

There is 1/3 of a pizza left to split between 3 of your friends. If you split the pizza equally what fraction of the pizza will each s get

Answers

Answer:

1/9

Step-by-step explanation:

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