PLEASE ANSWER ALL QUESTIONS 69 POINTS WILL MARK BRAINLIST

Given:

The function is

[tex]f(x)=2x^2+kx-9[/tex]

The remainder when f(x) is divided by x+6 is 57.

To find:

The value of k.

Solution:

According to the remainder theorem, if a polynomial function f(x) is divided by (x-a), then f(a) is the remainder.

The remainder when f(x) is divided by x+6 is 57.

Using remainder theorem, we get f(-6)=57.

Putting x=-6 in the given function.

[tex]f(-6)=2(-6)^2+k(-6)-9[/tex]

[tex]57=2(36)-6k-9[/tex]

[tex]57=72-6k-9[/tex]

[tex]57=63-6k[/tex]

On further simplification, we get

[tex]6k=63-57[/tex]

[tex]6k=6[/tex]

[tex]k=\dfrac{6}{6}[/tex]

[tex]k=1[/tex]

Therefore, the value of k is 1.

Answer:

person above lol

Step-by-step explanation:

Answer:

Either  128.25-reduced by 5 percent or

141.75 increased by 5 percent

Step-by-step explanation:

Answer:

In the triangle below the red side is a leg and should be labeled a . The pink side is a leg and should be labeled b. and the light blue side is the hypotenuse and should be labeled c.

In right triangles the angles are labeled with upper case letters and the sides are labeled with lower case letters.

Step-by-step explanation:

Answer:

x = -y + 3

y = -x + 3

In standard form, it would be 2x + 2y = 6

Answer:

-10 +5

its +5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

i just know it

4.2

hope it help u

plzfollow me

Answer:15

Step-by-step explanation:it just is the answer

9

Step-by-step explanation:

I believe its 9 because he borrowed $15 on Monday and then he did $12 more on Tuesday and thats already $27 that he owes his friend but then Franco pays his friend back $18 and he will just owe him $9 left

Answer:

Step-by-step explanation:

Answer: positive

Step-by-step explanation:

A negative divided by another negative is always positive. Same rule applies to multiplication. Double negatives equal positives

Answer:

13/24

Step-by-step explanation:

For every 24 heart beats of the kitten, the cats heart beats 13 times.

Answer:

(-1, -5)

Step-by-step explanation:

[tex]\left \{ {{y=5x} \atop {y=9x+4}} \right.[/tex]

1. We must calculate x, for that we must substitute y, so we have:

5x=9x+4

2. Now we solve the equation.

5x-9x=4

-4x=4

x=-1

3. Now we must calculate y

y=5x

y=5(-1)

y=-5

And the answer is (-1, -5)

Answer:

A and D

Step-by-step explanation:

the slope is the number in front of the x, as in the formula y = a*x + b

the linear equations that have a negative value for a have a negative slope

Answer:

200

Step-by-step explanation:

Answer:

141

Step-by-step explanation:

First find the area of the trapezoid

 (16 + 10) * 9 / 2 = 117

Then find the area of the triangle

0.5 * b * 6 = 24

Add them both together

117 + 24 = 141

Answer: 141

GIVE ME BRAINLEST

Step-by-step explanation:

Answer:

2208 is how many workers total

Step-by-step explanation:

Ima only give one way bc I only know one lol so what you do is you multiply 1380 by 60% which is 828 and then you add that to 1380 and you get 2208

Answer:

67.5

Step-by-step explanation:

4.5 times 6.66 times 2.25 will be 67.5

Answer:

they would both be 61°

Step-by-step explanation:

when the angles make out a straight line it equals to 180 and 180 subtracted to 119 comes out to 61 and both b and c are vertical angles which would make them congruent

Answer:

B= 61 C=61

Step-by-step explanation:

You can see how there is a straight line (180 degrees) so if you do 180-119 you get 61 degrees

The solution to this given system of equations is (x,y) = (0.4,15).

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

y - 13 = 5x

y - 5x = 12

Now,

To do this, we can add both equations together to eliminate x:

(y - 13) + (y - 5x) = 5x + 12 2y - 13 - 5x = 17 2y = 30 y = 15

Now that we have found y, we can substitute it into either equation to find x. For example:

15 - 13 = 5x 2 = 5x x = 0.4

Therefore, by the given system of equations the answer will be (x,y) = (0.4,15).

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

Answer:

$41.9

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

17 + 1 = 18

18/6 = 3

Answer:

28.4in³

Step-by-step explanation:

Volume of the square based pyramid = L²H/3 where;

L is the length of a side of the square base

H is the height of the prism

Given

Perimeter of the base = 13.4 in

Height of the pyramid = 7.6in

First we need to get the length of the square base

Perimeter of a square = 4L

13.4 = 4L

L = 13.4/4

L = 3.35 in

Next is to find the required volume of the pyramid

V = L²H/3

V =  3.35²(7.6)/3

V = 85.291/3

V =  28.4 in³

Hence the volume of the pyramid to nearest tenth is 28.4in³

Answer: Answer:

28.4in³

Answer:

I think the answer is no because none of these are divisible by any of the numbers

Answer:

35

................................................

Answer:

Below in bold.

Step-by-step explanation:

The angles on the line AC add up to 180 degrees, so:

11x - 8 + 90 + 6x + 2 + 4x + 12 = 180

21x + 96 = 180

21x = 180 - 96 = 84

x = 84/21

x = 4.

<ABD = 11(4) - 8 = 36 degrees.

<EBF = 6(4) + 2 = 26 degrees.

<CBF =  4(4) + 12 = 28 degrees.

Answer:

1.7 is the answer hope this helps.

Step-by-step explanation:

Brody's model of the Burj Khalifa be 1.7 meters tall to the nearest tenth.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Given:

The Burj Khalifa, a building in Dubai,

United Arab Emirates, is about 828 meters tall.

Brody is making a scale model of this building,

using the scale factor 1:500.

The height of the model = 828 / 500 = 1.656

= 1.7 to the nearest tenth.

Therefore, the model is 1.7 meters tall to the nearest tenth.

To learn more about the scale factor;

https://brainly.com/question/29464385

#SPJ6