when
[tex] {x}^{3} + a {x}^{2} + 5x + 3[/tex]
is divided by
[tex]x + 2[/tex]
the remainder is b. Determine the value of b​

Answers

Answer 1

x³ + ax² + 5x + 3. x + 2 = 0

x = -2

(-2)³ + a(-2)² + 5(-2) + 3 = 0

-8 + 4a - 10 + 3 = 0

4a - 15 = 0

4a = 15

a = 15/4


Related Questions

Darius is studying the relationship between mathematics and art. He asks friends to each draw a "typical” rectangle. He measures the length and width in centimeters of each rectangle and plots the points on a graph, where x represents the width and y represents the length. The points representing the rectangles are (6.1, 12.0), (5.0, 8.1), (9.1, 15.2), (6.5, 10.2), (7.4, 11.3), and (10.9, 17.5). Which equation could Darius use to determine the length, in centimeters, of a "typical” rectangle for a given width in centimeters?

y = 0.605x + 0.004
y = 0.959x + 0.041
y = 1.518x + 0.995
y = 1.967x + 0.984

Answers

Answer:

its the 4th one

Step-by-step explanation:

Answer:

the answer is C y=1.518x+0.995

Step-by-step explanation:

can someone help will mark brainliest​

Answers

Answer:

$60

Step-by-step explanation:

x - 15 = 45

x = 15 + 45

x = 60

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

45+15= 60

$60 is how much the original value was.

Hope this helped!

What is the value of x^2/y^1 when x=10 and y=5?

Answers

The value is 20. 10^2 = 100 and 5^1 = 5. 100/5=20

4+3x<=13 on a number line

Answers

Answer:

The question seems incomplete, but this statement would be true for all x below 3 (you can put any number less than 3 in it and get a true statement)

Hi, does anyone mind helping me with this pls?

Answers

Answer:

a and b

Step-by-step explanation:

they're both equal to 25%; 100 reduced by 75 is 25

Fill in the blanks below in order to justify whether or not the mapping shown represents a function

Answers

Answer:

not a function because -3 maps to two different values 5 and 6

Step-by-step explanation:

What is the diameter of a sphere with a volume of 72 in”, to the nearest tenth of an
inch?

Answers

The required diameter of the sphere where the volume is 72 inches is 5.2 inches respectively.

What is a sphere?

A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same distance from a single point.

The radius of the sphere is denoted by the letter r, and the specified point represents its center.

The sphere is a three-dimensional shape that is sometimes referred to as a circle's second cousin.

A sphere is a solid shape that is circular, without borders.

Balloons, toy balls, and even light bulbs are examples of objects with sphere shapes.

So, the volume of the sphere formula is:

4/3πr³

We know that the volume is 72 inches.

Then calculate as follows:

72 = 4/3πr³

r³ = 72*3/4π

r = 2.58 (Approx)

Rounding off: 2.6 inches

Then the diameter would be:
2.6 * 2 = 5.2 inches

Therefore, the required diameter of the sphere where the volume is 72 inches is 5.2 inches respectively.


Know more about a sphere here:

https://brainly.com/question/22807400

#SPJ1

Correct question:

What is the diameter of a sphere with a volume of 72 in”, to the nearest tenth of an inch?

How would you write one million as a power of 10?

Answers

Answer:

10 to the power of 6

Step-by-step explanation:

10 x 10 x 10 x 10 x 10 x 10 = 1,000,000

Answer:

[tex]10^{6}[/tex]

Step-by-step explanation:

10 multiplied by itself 6 times is 1,000,000

Find the volume of a pyramid with a square base, where the area of the base is 19.8 cm2 and the height of the pyramid is 13.9cm. Round your answer to the nearest tenth of a cubic centimeter

Answers

Answer:

91.7 cm^3

Step-by-step explanation:

[tex]Vol=\frac{1}{3} \times base area \times height=\frac{1}{3} \times 19.8 \times 13.9= 91.7 cm^{3}[/tex]

1 is 3 . 3 is 5 . 5 is 4 . 4 is 4 .
What is 7? Explain why.

Answers

Answer:

5

Step-by-step explanation:

seven has 5 letters

Please help me!!!!!!!!!

Answers

Answer:

14.4

Step-by-step explanation:

Which of the expressions will have a product with three decimal places? Check all that apply.
0.271
Х 5
1.975
56.8
II
4.2
x0.08
x 0.1
x 1.34

Answers

Answer: Its 4.2x 0.08 and 56.8x 1.34

Answer:

0.271 x 5

----

4.2 x 0.08

----

56.8 x 1.34

Step-by-step explanation:

There are 3 correct answers in total everyone.

How many teams haven't won a super bowl
A. 2
B. 12
C. None
D. 3

Answers

Answer:

B. 12

12 teams have never won a Super Bowl :))))

Belleview High School has 12 chaperones for 198 students on a field trip. Which of the following schools has the same ratio of chaperones to students?

Answers

Answer:

The ratio for this school is 12/186 which gives us 2/31. Just check which option has the same ratio and that will be your answer.

Step-by-step explanation:

Answer:

There is no other schools listed so I cant answer the question

Step-by-step explanation:

The product of x and 8 is not less than 16

Answers

Answer:

x ≥ 2

Step-by-step explanation:

The inequality would be: x * 8 ≥ 16

8x ≥ 16

x ≥ 16/8

x ≥ 2

Hope this helps!

Answer:

x*8 > 16

Step-by-step explanation:

product  means multiplaction and x and 8 are being multiplied so x*8 and the answer is not less than or at least 16

If the previous balance on your credit card account is $288.44, the periodic rate is 0.7%, you made a payment of $45, and you had new purchases of $120.33, then how much is the new balance this month?

Answers

Answer: $46,619

»» 288.44 / 0.7%

»› 41,205

»» 45 x 120.33

»» 5,414

A=41,205

A=5,414

A=46,619

[tex]\color{yellow}{}[/tex]

There are 4.5 litres of milk in a pot. The chef stirs in 2.5 g of salt and 1.2 litres of water. How much liquid is in the pot?

Answers

Answer:

5.7 litres

Step-by-step explanation:

The salt is not a liquid so you do not need to add it in.

4.5 litres + 1.2 litres = 5.7 litres

HELP PLEASE I WILL MARK BRAINLIEST

Answers

Answer:

A

Step-by-step explanation:

I just took This test


Write the equation of the circle:
center: (-9, 0), diameter: 10

Answers

Answer:

[tex](x+9)^2+y^{2}=25[/tex]

Step-by-step explanation:

The equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center of the circle and [tex]r[/tex] is the radius of the circle.

Given the circle's diameter is [tex]d=10[/tex], then its radius is [tex]r=\frac{10}{2}=5[/tex].

Therefore, the equation of the circle is [tex](x+9)^2+y^{2}=25[/tex]

PLSS HELP ME ITS WORTH 20 POINTS!!

Answers

Answer:

suplementary

Step-by-step explanation:

Supplementary because the other one said

_____ is the use of your vehicle with others to share the expense of traveling to work.


A.
Hitchhiking


B.
Car sharing


C.
Carpooling


D.
Ride sharing

Answers

The answer is C carpooling

Using your vehicle with other people in order to share the expense of traveling to work, it is called: C. Carpooling.

What is Carpooling?

Carpooling can be described as when two or more people share a one vehicle together to travel to a destination, thereby reducing cost by sharing the cost of fuel, tools, and other expenses associated with driving.

Thus, if you are using your vehicle with other people in order to share the expense of traveling to work, it is called: C. Carpooling.

Learn more about carpooling on:

https://brainly.com/question/1060521

Subtract. Write your answer in simplest form. 2-1/4

Answers

2-1/4 is just 2. (-1/4)

And it is equals to -1/2

I think the answer should be 1.75 and here’s my work

By the distributive law 3 ✖ 2 + 3 ✖ 4 =

1. 9 + 8
2. 9 ✖ 8
3. 3 + 8
4. 3 ✖ 6
Need this quick as hell 25 points

Answers

i think it would be 2, 9 x 8

(1.9)2 standard form

Answers

Answer:

-4

Step-by-step explanation:

hope this helps

have a great day/night :)

Please help me on this!

Answers

Answer:

[tex]s=20[/tex]

Step-by-step explanation:

By the Exterior Angle Theorem, we know that the exterior angle is equal to the sum of the two, opposite interior angles.

In other words:

[tex]4s=(3s-20)+(2s)[/tex]

Solve for s. Combine like terms:

[tex]4s=5s-20[/tex]

Subtract 5s from both sides:

[tex]-s=-20[/tex]

And divide both sides by negative one. Therefore:

[tex]s=20[/tex]

There are two squares, one with sides 3 feet long, and one with sides 6 feet long. How much bigger are the perimeter and area of the larger square? How are the factors related?

Answers

Answer:

24ft,36ft2

The perimeter is the sides multiplied by 4 and area is the square of sides the larger the sides the larger the perimeter and area

Step-by-step explanation:

Perimeter = 6*4= 24feet

Area=          6*6= 36feet2    

Find the area of a parallelogram if a base and corresponding altitude have the indicated lengths.
Base 3 1/2 feet, altitude 3/4 feet.

Answers

Answer:

below

Step-by-step explanation:

base * height = area of a parallelogram

7/2 × 3/4

=21/8 feets

Please help! really stuck on this question!

Cameron sponsored a fundraiser that 582 people attended. He raised 6,480. He charged $15 for balcony seats and $10 for ground seats. How many people bought balcony seats (b) and how many bought ground seats (g)?

15b + 10g = 6,480
b + g = 582

Answers

Answer:

132 people bought balcony seats and 450 people bought ground seats.

Step-by-step explanation:

We want to solve the system of equations:

[tex]\left\{ \begin{array}{ll} 15b+10g=6480 \\ b+g=582 \end{array} \right[/tex]

We can solve this by using substitution. From the second equation, we can subtract b from both sides:

[tex]g=582-b[/tex]

In the first equation, we can divide both sides by five:

[tex]3b+2g=1296[/tex]

Substitute:

[tex]3b+2(582-b)=1296[/tex]

Distribute:

[tex]3b+1164-2b=1296[/tex]

Simplify:

[tex]b+1164=1296[/tex]

Solve for b:

[tex]b=132[/tex]

Using the modified equation again, substitute:

[tex]g=582-(132)[/tex]

Evaluate:

[tex]g=450[/tex]

Therefore, 132 people bought balcony seats and 450 people bought ground seats.

What is the distance from Cto D?
5
4
D(5,3)
3
2
1
5
1 2 3
C(2, -1
-2
3
-4
-5
OA. 5 units
B. 25 units
C. 7 units
D. 1 unit

Answers

Given:

The two points C(2,-1) and D(5,3) on a coordinate plane.

To find:

The distance from C to D.

Solution:

The distance between two points is defined by the distance formula.

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The two points are C(2,-1) and D(5,3). Using the distance formula, we get

[tex]CD=\sqrt{(5-2)^2+(3-(-1))^2}[/tex]

[tex]CD=\sqrt{(3)^2+(3+1)^2}[/tex]

[tex]CD=\sqrt{(3)^2+4^2}[/tex]

On further simplification, we get

[tex]CD=\sqrt{9+16}[/tex]

[tex]CD=\sqrt{25}[/tex]

[tex]CD=5[/tex]

The distance from point C to D is 5 units. Therefore, the correct option is A.

In the figure below, secant PQ intersects the circle at R and secant SQ intersects the circle at point T. What is the value of z?

Answers

Answer:

19

Step-by-step explanation:

6×(6+14) = 5×(5+z)

120 = 25 + 5z

95 = 5z

z = 19

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