Given f(x) = 3x2 + kx + 19, and the remainder when
f(x) is divided by x + 3 is 37, then what is the value of k?

Answers

Answer 1

Answer:

[tex]f{x} = x + 3 = 0 \\ x = - 3 \\ f( - 3) = 3( - 3) {}^{2} + k( - 3) + 19 = 37 \\ f( - 3) = 27 - 3k + 19 = 37 \\ f( - 3) = 46 - 3k = 37 \\ f( - 3) = 46 - 37 = 3k \\ f( - 3) = 9 = 3k \\ f( - 3) = k = 3[/tex]


Related Questions

Two angles are supplementary. One angle is 25°. What is the measure of the other angle?

Answers

Answer:

The other angle is 155°.

Step-by-step explanation:

Supplementary angles are two angles that have a sum of 180°.

I found my answer my subtracting 25 from 180 (180-25) and my difference was 155.

And, 155 + 25 = 180°.

Therefore, the other angle is 155°.

does anyone know any other apps i can use, i have to watch an add every time otherwise the answer is blurred

Answers

Answer: You can create an account for free, you won't get any ads

Step-by-step explanation:

Answer:

It dependents, are you looking for math, science, English, etc  

Step-by-step explanation:

Mathhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

0, 1

1, 4

2, 7

3, 10

4, 13

5, 16

6, 19

7, 22

Step-by-step explanation:

hope this helps!

Please help me :( on this

Answers

Answer:

A. point F (3,5)   B. 5 units   C. 10 units

Step-by-step explanation:

Please help me it’s due at 11‼️‼️‼️

Answers

Answer:

answer is 1.1

Step-by-step explanation:

that you can divide and see the answer

-8^2+18/ 3=
Evaluate the expression.

Answers

-8 to the second power is -64. 18/3 is 6. -64+6 is -58!!

Romeo has captured many yellow-spotted salamanders. He weighs each and
then counts the number of yellow spots on its back. Which trend line best fits
the data?

Answers

Answer: D.

Step-by-step explanation:

Answer:

It's D

Step-by-step explanation:

I took the AP3X quiz and got it right. Just make sure you don't just click D on your end without looking at the graph in the question.

Please Please please please help help help help!!!!!!!!!!!!!!!!!!!

Find the product of 3 times the difference of 30 and 25 and 4 times the sum of12 and 15.

And please don't send the links and all please just answer step by step please!!.

Answers

Answer:

Step-by-step explanation:

30  30 x 3 = 90

x 3

90  

first  multiply 4 x 5 = 20 bring down 0 then multiply 4 x 2 = 8 then add+2= 10

25 x 4 = 100

12 x 15 = 180

So you would write out the equation 3(30/25) x 4(12+15) and then do 30/25= 1.2 then do 1.2*3= 3.6 save that answer for later then do 12+15=27 then do 27*4= 108 then multiply together the 108* 3.6= 388.8

What is the value of X? ______ degrees.

Answers

Answer:

48 degrees

Step-by-step explanation:

180-85-47=x

x=48

Need some help please, I'm super stuck on this. :/

Answers

Minimum y value, is correct

12 donuts cost $6.96. What is the unit rate for one donut?

Answers

Answer:

6.96/12

= 0.58

Step-by-step explanation:

each donut costs $0.58. you can check the work by plugging 12 in for x.  (0.58x)

i hope this helps :)

I need help ASAP!!

The height of a right pyramid with a square base is 4 feet. The length of a side of the
base of the pyramid is 6 feet. What is the slant height, s, of the pyramid?

Answers

Answer:

i think its 6

Step-by-step explanation:

i dont know for sure

John saved up enough money to buy a $20 can of shoe shine after paying for the $150 pair of Nikes. How much money did he save in all?

Answers

Answer:

170$

Step-by-step explanation:

150+20=170

Answer:

Step-by-step explanation:

170

square the term in the parentheses? Please help​

Answers

Answer:

There is no parenthesis here

Step-by-step explanation:

add the question or equation or problem next time

*** 7. Sam and Sue have only nickels and
dimes. Sue has 35€. Sam has the same number of
dimes as Sue has nickels, and he has half as many
nickels as Sue has dimes. How many nickels does
Sue have?

Answers

Answer:

there no photo so I cant answer without seeing it

Q1 (pic 1)
Triangle ABC is similar to triangle WYZ.

Select all angles whose cosine equals 35.

Question 1 options:

Angle W


Angle Y


Angle C


Angle B


Angle Z


Angle A

Q2 (pic 2)
Triangle ABC is similar to triangle WYZ.

Determine whether the following statement is true or false.

sin(B)>sin(Y)
Question 2 options:
True
False

Answers

Answer:

Question 2 = True

I don't know the first question, the test wouldn't tell me:/

Angle C, Angle Z, Angle A, and Angle W are all angles whose cosine equals 35 and the statement that Sin B is greater than Sin Y is false.

What is a similar triangle?

The two triangles are said to be similar that have the same proportion of sides and angles.

Corresponding sides are in the same ratio.

a/p = b/q = c/r

In triangle ABC

AB = 5, AC = 3, BC = 4

Cos A = base/ hypotenuse

          = 3/5

Cos B = base/ hypotenuse

          = 4/5

Cos C = base/ hypotenuse

          = 3/5

In triangle WYZ

Cos W = base/ hypotenuse

           =  3/5

Cos Z = base/ hypotenuse

          = 4/5

Hence, Angle C, Angle Z, Angle A, and Angle W are all angles whose cosine equals 35.

In triangle WYZ

WY = 13

In triangle ABC

CB = 24, AC = 10

Sin B = Perpendicular/ hypotenuse

         = 10/26

Sin Y = Perpendicular/ hypotenuse

        = 5/13

Since both angles are equal also they are similar to each other.

Therefore, the statement that Sin B is greater than Sin Y is false.

Learn more about similar triangles;

https://brainly.com/question/25813512

Please help me with this question

Answers

Answer:

The cost per ounce is $0.23

Step-by-step explanation:

Set up fraction:

ounce/cost

15.4/3.59 = 1/x

cross multiply

15.4x=3.59

x=3.59/15.4

x=0.233116883117

x=$0.23

The cost per ounce is $0.23

Answer:

$0.23

Step-by-step explanation:

[tex]\frac{15.4}{3.59} =.23.........[/tex]

$0.23

Find the volume of a sphere with a radius of 2 meters. Round your answer to the nearest tenth.
m

Answers

Answer:

V≈33.51m³

Step-by-step explanation:

V=4

3πr3=4

3·π·23≈33.51032m³

Marget works at a bakery. She is paid 300 every week

Answers

Answer:

B

Step-by-step explanation:

12x + 300 = 450

hope this helps

In a bag in a sports store room, there are
four times as many AFL balls as Rugby
balls and half as many AFL balls as
soccer balls. The number of balls
altogether is 52.
How many AFL balls are in the store room?

Please stop putting links and stuff as the answer.

Answers

30 is the answer hope rthis helps

Help will give crown I don’t not get this

Answers

Answer:

4 - 0.6 (Repeating) x = 0.75

Step-by-step explanation:

You divide the fractions by each other ex. 2 divided by 3

Answer:

[tex] 48 - 8x = 9[/tex]

Step-by-step explanation:

Multiply both sides by LCM. which is 12.

[tex]12(4 - \frac{2}{3} x) = \frac{3}{4} \times 12[/tex]

[tex]48 - 8x = 9[/tex]

16 cars are parked if 1/4 of them are blue how many cars are blue

Answers

Answer: 4

Step-by-step explanation:

Answer:4

Step-by-step explanation: for example, you have 1/4 if you double that you get 2/8, triple it would be 3/12, next would be 4/16

please help with this question?!?

Answers

Answer:

416 mi

Step-by-step explanation:

In order to find the surface area, you must find the area of each square. There are a total of 6 that make up the prism.

Remember to find the area it is length x width

9 x 8 = 72 which is the area for 4 of the squares. 2 on the side and 2 on the bottomLastly for the last 2 squares to find the area you multiply 8 x 8 = 64In total, you will add 72+72+72+72+64+64 which equals 416

i need help with trigonometric pleasee

Answers

Answer:

Step-by-step explanation:

Cos(61) = 0.4848

This is more or less the value of cos(60) which is 1/2

You know you are in trouble when a question says approximately. How approximate is approximately. My guess, and it is a guess, is that this means the nearest degree. That would be 14 degrees. The more exact answer is 13.80 and that zero matters. It is a place holder.

Sin(67) = 0.9205 Again, how approximate is approximate? Try 0.92 as your answer.

Tan (18) = 0.3249 Try tan(18) = 0.3

find the value of x
2x−3=5

Answers

Answer:

x=4

Step-by-step explanation:

5+3 =8

8/2 = 4

factor 4 in...

(2x4)-3=8

Answer:

X=4

Step-by-step explanation:

Express as a trinomial.
(2x – 9)(3x +4)

Answers

Answer:

5x^2-19x-36

Step-by-step explanation:

(2x)(3x) + (2x)(4) - (9)(3x) - (9)(4)

5x^2 + 8x - 27x - 36

5x^2 - 19x - 36

Expression as a trinomial is  6x² -19x -36.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

An expression,

(2x – 9)(3x +4).

To express as a trinomial:

(2x – 9)(3x +4),

= 6x² -27x + 8x -36

= 6x² -19x -36

Trinomial is a quadratic function.

Therefore, as a trinomial is 6x² -19x -36.

To learn more about the quadratic function;

https://brainly.com/question/11485644

#SPJ2

PLEASE HELP! :(

Suppose that c varies directly with n, and n=8 when c=13. Find n when c=4.

Answers

as c and n directly vary it can be said that

[tex]\frac{8}{13} = \frac{n}{4}[/tex]

now we just solve for n

[tex]\frac{8}{13}=\frac{n}{c} \\13n=32\\n=2.46[/tex]

A school ordered 32 orange shirts, 29 blue shirts, and 34 green shirts. The shirts are being divided equally among 6 classrooms. If each classroom gets the same number of shirts, how many shirts will be left over?
A.
2
B.
4
C.
5
D.
3

Answers

Answer: D

Step-to-step explanation:

Answer:

C

Step-by-step explanation:

The orange shirts will have 32/6 = 5 with 2 left over

The blue shirts will have 29/6 = 4 with 5 left over

The green shirts will have 34/6 = 5 with 4 left over

The left overs are 2 + 5 + 4 = 11 but I have divided the colors equally. If color does not matter then the total number of shirts = 32 + 29  + 34

The total number of shirts is 95

95/6 = 15 with a remainder of 5

So 5 shirts will be left over.

please help me! Ten men and 15 women apply for a job. All are equally qualified and 4 applicants are selected at random for hiring. Find the probability, to the nearest thousandth, of hiring exactly 3 women. FYI: i don't want links at all.

Answers

Answer:

3,600

Step-by-step explanation:

15 equality of 4 applicants which is subductive to the inequality of quotients.. Simplified to 3,600

The total cost to play paintball can be represented by the expression (48x+54). If Rocco and five friends split the cost equally, what is the cost for each person

Answers

Answer:

8x + 9

Step-by-step explanation:

The total number of people splitting the cost equally = Rocco and five friends = 6 people

The total cost to play paintball can be represented by the expression (48x+54)

The cost for each person is calculated as: The total cost to play paintball/ Total number of people

= (48x+54)/6

= 48x/6 + 54/6

= 8x + 9

Therefore, the cost for each person is

8x + 9

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