When ax3 +x2 -2x +b is divided by x+1, the remainder is 10. When it is divided by x-3, the remainder is -46. What is the value of a and b?

Answers

Answer 1

Step-by-step explanation:

Given

X+ 2 = 0

X = -2

on putting in polynomial

-8a +2b= 0

- 8a = 2b

b = -4a

Now

when divided by x - 1 give remainder -15

so

x - 1 = -15

x = -14

on putting in polynomial

-2744a + 198 + 14b - 4 = -14

-2744a + 56a = - 208

-2688a = -208

a = 168/13

Now

b = 672/13


Related Questions

A guppy was swimming 8 feet below the surface of the river. It swam down 6 more feet
to escape a large, hungry fish. What is the position of the guppy now relative to the
surface?
To solve the problem, Jenna subtracted 8 - 6 and came up with an answer of 2 feet. Is Jenna
correct? Why or why not?
Yes, Jenna is correct.
No. The answer should have been -2 feet, not 2 feet, because the guppy is
below the surface.
No. Jenna should have subtracted -8 - 6 because the guppy started 8 feet
below the surface and swam down 6 more feet.

Answers

Answer:

No

Step-by-step explanation:

The answer should of been -14

Answer:

-8 feet

Step-by-step explanation:



Choose all the ways that we can read the following equation. (There are at least 3 correct answers)
-(-7) = 7

Answers

Answer:

It is this because

Step-by-step explanation:

This is because if you have -(-7) that would meean that you are looking for the absolute value of that number, which would be seven.  You could also look at it like that it is looking for the opposite of the number which would also be 7.

Twice the difference of a number and 9 is equal to three times the sum of the number and 6. Find the number.

Answers

Answer:

2x-3=3x+6 is the right answer

A parasail is 3/100 mile above the water. After five minutes, the parasail is 1/50 mile above the water. Find the change in height of the parasail.

Answers

Answer:

the change in height is 1/100 mile

Step-by-step explanation:

1/50 is also equal to 2/100, and since the previous height was 3/100 then you can just subtract 2/100 from 3/100 to get 1/100

Answer:

1/100

Step-by-step explanation:

1/50 = 2/100

then:

3/100 - 2/100 = (3-2)/100

= 1/100

A metal bar ten feet long weighs 128 pounds. What is the weight of a similar bar that is two feet four inches long?
Round to the nearest whole pound. (Use cross multiplication to solve the ratio).

Answers

Answer:

Seems like 29 pounds (29.44 not rounded)

Step-by-step explanation:

The sum of two numbers is 68. The larger number is 16 more than the smaller number. What are the numbers?

Answers

Answer:

x = 26

Step-by-step explanation:

68=x +(16+x) and if you plug in 26 it is 68

It rained 2 inches on Monday. On Tuesday, it rained 0.61 inches less than on Monday. How much did it rain on Tuesday?

Answers

Answer:

1.39 inches

Step-by-step explanation:

Answer:

1.39 inches

Step-by-step explanation:

2 - 0.69

= 1.39

If a = 3 and b = 5, what is the value of a+. 62?
9 + 25
84
6 + 10
82

Answers

Answer:

a+62=65

Step-by-step explanation:

if a=3 then 62+3=65

B
D
E
С
3
In the figure above, tan B
If BC = 15 and DA = 4, what is the length of DE

Answers

Answer:

Step-by-step explanation:

{y2+8y−128=0x=34⋅(y+4) ... The two right triangle are similar, so: BDAB=DEAC. From this, I obtain: ... AC=3x AB=4x (3x)²+(4x)²=225 x=3 BD=8 AB/AC=BD/DE 12/9=8/DE DE=6.

The length of segment DE in the given triangle is 6 units.

What are trigonometric ratios?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Given that, a right-angled triangle ABC, with a segment DE, where tan B = 3/4, BC = 15 and DA = 4

Since, tan B = 3/4

Cos B = 4/5

Cos B = AB / BC

therefore,

4/5 = AB / 15

AB = 12

BD = AB - AD = 12-4

BD = 8

Now, Tan B = 3/4

DE / BD = 3/4

DE / 8 = 3/4

DE = 6 units

Hence, the length of segment DE in the given triangle is 6 units.

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The verticies of triangle XYZare X(-3, -6), Y(21,-6) and Z(21, 4). What is the perimeter of the triangle?

Answers

Answer:

-3,-6

Step-by-step explanation:

If the length of the radius of the circle is 6, what is the area of the square? 6 72 48 12 144​

Answers

Answer:

If the circle is inside the square the area of the square is 144

Step-by-step explanation:

The diameter of a circle is equal to the side length of a square.

So [tex]d = 2r[/tex]  the diameter of the circle is 2(6)=12

so one side length of the equals 12

Area of square = [tex]s^{2}[/tex]    [tex]12^{2} = 144[/tex]

If angle PQT = (3x + 47)* and angle PQR = (6x - 25)', find the measure of angle SQR.

Answers

Since , angle PQT and PQR are in a line .

So ,  PQT=PQR

(3x + 47) + (6x - 25) = 180

x = 17.56

Now , PQR and SQR are also in same line .

So , PQR + SQR = 180

( 6x - 25 ) + SQR = 180

105.33 - 25 + SQR = 180

SQR = 99.67°

Hence , this is the required solution .

Which of these sums is greater than 1? please help 20 pts if u get it A. 12+23 B. 13+18 C. 14+25 D. 15+110

Answers

Answer:

They are all greater than 1.

Step-by-step explanation:

12+23=35

13+18=31

14+25=39

15+110=125

The sum of Option D is greater than 100 .

What is the meaning of Sum ?

Sum is the output of the mathematical operation , "Addition" .

It is given to find the sum of which numbers exceed 100

A. 12 + 23 = 35

B. 13+18 = 31

C. 14+25 = 39

D. 15+110 = 125

The sum of Option D is greater than 100 .

Therefore , Option D is the answer.

The correct question is

Which of these sums is greater than 100?

please help 20 pts if u get it A. 12+23 B. 13+18 C. 14+25 D. 15+110

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.
A. 139
B. 147°
C. 155
D. 157
PLEASE HELP ASAAAPP!

Answers

Answer:

[tex]\huge\boxed{157 \ \ \text{degrees}}[/tex]

Step-by-step explanation:

In order to find the value of ∠EFB here, we have to note our angle relationships.

We know that ∠CFE is already 90°. We also know that ∠CFA is 90°. Angle ∠AFB is inside ∠CFA. Since we know the measure of ∠AFB, we can find the measure of ∠BFC.

[tex]23 + x = 90\\\\x = 90-23\\\\x = 67[/tex]

Now that we know ∠CFE and ∠BFC, which together make ∠BFE, we can add these angles up.

[tex]90+67=157[/tex]

Hope this helped!

Write a formula for the area of the regular polygon.

Answers

Answer:

The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon.

Step-by-step explanation:

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The formula when solved for h will be equal to A/4b.

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication, and non-negative exponentiation of variables involved.

A.)

For the given octagon, if its diagonals are made then it will be divided into 8 triangles, such that each triangle will be equal to the other.

Now, if the area of a single triangle is calculated then the area of the triangle will be,

Area of triangle = (1/2) × b × h

Further, since there are 8 triangles, therefore, the area of the octagon can be written as,

Area of octagon = Area of triangle × 8

                           = (1/2) × b × h × 8

                           = 4bh

Hence, the area of the octagon is 4bh.

B.)

The formula can be solved for h as shown below,

Area of octagon = 4bh

A = 4bh

Divide both the sides by 4b, therefore, we can write,

A/4b = 4bh/4h

h = A/4b

Hence, the formula when solved for h will be equal to A/4b.

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1.9 x (1/4) answer as a fraction

Answers

Answer:

19/40 1.9x0.25=0.475= 19/40

Answer:19/40

Step-by-step explanation:

Which number has 7 in the tens place a 7 in the tenths place and a 1 in the thousands place

Answers

1070.1 the zeros can be changed to any other number

What does b equal???​

Answers

Answer:

17

Step-by-step explanation:

anddo the work you cheater

The required measure of the indicated angle b is 101°.

Use the concept of a triangle is defined as:

A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

In the given figure,

Interior angle = 79°

And the corresponding exterior angle = b

If we combine both angles,

Then it becomes a complete angle of the line.

Since we know that,

The complete angle of a line = 180 degrees.

Therefore,

79° + b =  180°

Subtract 79° on both sides,

b = 101°

Hence,

The measure of angle b is 101°.

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what are the steps to simplifying radical expressions?​

Answers

Answer:

Step 1: Find the prime factorization of the number inside the radical.

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.

Step 4: Simplify the expressions both inside and outside the radical by multiplying.

Step-by-step explanation:

plzzzzzxz help mee!!!!!!?????

Answers

Answer:

175

Step-by-step explanation:

X+y=__ when x=2 and y=3 (substitute and give the answer)

Answers

Answer:

5

Step-by-step explanation:

plug in the numbers

2 + 3 = 5


Fredrick threw a ball from the top of a building. The height of the ball, in feet, after it is thrown is modeled by the function
h() = -1612 + 641 + 100, where i represents time, in seconds.

Answers

Answer:

5.2 seconds

Step-by-step explanation:

GivenThe function h(t) = -16t^2 +64t + 100To find: Time the ball to reach the ground (h = 0)? Solutionh(t) = -16t^2 +64t + 100

Need to find the value of t, when h(t) = 0

-16t^2 +64t + 100 = 04t^2 - 16t - 25 = 04t^2 - 2*2t*4 + 16 = 41(2t - 4)^2 = 412t - 4 = √412t - 4 = 6.42t = 10.4t = 5.2

Answer is 5.2 seconds

Answer:

5.2

Step-by-step explanation:

Read each problem carefully and solve.
19. Ellie built 6/10 of a fort on Saturday and the rest on Sunday. How much of the fort did Ellie build on Sunday?

A. 1/100

B. 4/100

C. 60/100

D. 40/100

Answers

The answer is D, i’m almost positive.

The students at Woodward Elementary voted for a school mascot. The falcon won with 5/8 of the votes and the eagle came second with 1/3 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle?

Answers

Answer:

178.67

Step-by-step explanation:

One third written as a fraction is 1/3. You can also write it as a decimal by simply dividing 1 by 3 which is 0.33.

If you multiply 0.33 with 536 you will see that you will end up with the same answer as above.

You may also find it useful to know that if you multiply 0.33 with 100 you get 33.33. Which means that our answer of 178.67 is 33.33 percent of 536.

9x + 5 - 3x = 5x - 14

Answers

Answer: The answer is x = -19

Answer:

-19

Step-by-step explanation:

9x - 5x -3x = -14 -5

1x = -19

A car is traveling at a rate of 93 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 15 minutes? Do not round y
answers.

Answers

Answer: The car is going 1.55 miles per minute.

Step-by-step explanation: Since there are 60 minutes in an hour, and the car is going 93 mph, you would simply divide 93 by 60.

The car's rate in miles per minute  is 1.55 miles.

The car will travel 23.25 miles in 15 minutes.

What is Speed- Distance Formula?Speed = Distance/Time Distance = Speed X TimeTime = Distance / Speed

Given:

A car is traveling at a rate of 93 miles per hour.

In 60 minutes the car travel = 93 miles

So, In one minutes the car travels = 93 /60

                                                         = 1.55 miles

and, In 15 minutes the car travel = 1.55 x 15

                                                      = 23.25miles

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Prove that if 5(m - 1) = -25, then m = -4.

Answers

Answer:

The equation is true

Step-by-step explanation:

First, input -4 instead of m in the equation:

5(-4 - 1) = -25

Then, distribute:

-20 - 5 = -25

Finally, simplify:

-25 = -25

This equation is true, and that's how you prove it.

Hope this helps!

Answer:

M= -4

Step-by-step explanation:

1. Distribute the 5 into the parentheses

5m-5=-25

2. Now add 5 on both sides

5m=-20

3. Now divide 5 by -20

m=-4

Order the numbers below from least to greatest √5,3.7,1/2,-4,-9/4

Answers

Answer:

-4 , -9/4 , .5 , √5 , 3.7

Step-by-step explanation:

-9/4= -2.25

sqr 5= 2.23

1/2= .5

Could someone uh, help me? I’m a bit confused.

Answers

1
_
16 for the first one

Help pls I'm running out of points & brain cells lol T^T

Answers

Answer:

- 4.7

Step-by-step explanation:

Step 1:

c - 1.5 + 6.8 = 0.6

Step 2:

c + 5.3 = 0.6

Step 3:

c = 0.6 - 5.3

Answer:

c = - 4.7

Hope This Helps :)

Answer:

-4.7

Step-by-step explanation:

I just went by trial and error till the answer ended up being 0.6. I know that there's a actual way to solve this mathematically, but that's how I did it in school, and so far, I haven't been yelled at for it. Hopefully this was semi-helpful.

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