Given f(x)=x^3-7x+k, and the remainder when f(x) is divided by x-5 is 78, then what is the value of k?

Answers

Answer 1

Answer:

the answer is k= -12

Step-by-step explanation:

use x-5= 0

x=5


Related Questions

Pleaseeeeee helppp!!!!! Will mark brainliest!!

Answers

Answer:

the first one (3x-2)(2x-3)

The answer is 1,2 and 5 are factored
4 is not factored because it can be factored by y

List one of the "modes" of the
test scores. (Mode means the
numbers that appear the most
often in a set.)
Test Scores: 100, 75, 40, 90,
80, 100, 92, 88, 80, 84, 81

Answers

Answer:

100 & 80

Step-by-step explanation:

100 appears twice...same with 80

Emma has a round trampoline with a diameter of 2 yards. What is the trampoline's radius?
yards

Answers

Answer:

You know the radius is 1/2 of the diameter.

You can simply do 2/2 which is ONE.

The radius of the trampoline with a diameter of 2 yards will be 1 yard.

What is the radius?

The radius of the circle is the distance from the centre of the circle to the outer curve of the circle. The diameter of the circle is the length of the two points between the curve of the circle passing through the centre of the circle.

The radius of the circle is half of the diameter of the circle. The trampoline's radius will be calculated as,

Radius = Diameter / 2

Radius = ( 2 ) / 2

Radius = 1 yard

Therefore, the radius of the circle will be 1 yard.

To know more about radius follow

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Please answer the one you would like. I’m very bad at math :(

Answers

Answer:

The answer for question one is 162 cm

The average daily rainfall in Seattle for the
month of June has a mean absolute deviation
of 1.3 inches. What conclusion can you make
about the average daily rainfall in Seattle for
the month of June?

Answers

The conclusion regarding the MAD is that the average of the absolute values of the daily difference between the actual and expected rainfall is of 1.3 inches.

What is the mean absolute deviation(MAD) of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation(MAD) of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.

Hence, the mean absolute deviation of 1.3 inches means that the average of the absolute values of the daily difference between the actual rainfall and the expected rainfall is of 1.3 inches.

More can be learned about the mean absolute deviation at https://brainly.com/question/3250070

On a coordinate plane, line M N goes through points (2, 3) and (negative 3, 2). Point K is at (3, negative 3).
Which point could be on the line that is perpendicular to Line M N and passes through point K?

(0, −12)
(2, 2)
(4, 8)
(5, 13)

Answers

Answer:

suitable is (4, 8)

Step-by-step explanation:

slope of MN (y2-y1)/(x2-x1) = (2-3)/(-3-2)= -1/-5 = 1/5

line MN and line K is perpendicular

(1/5)*(m2) = -1  

slope of k which is m2 is -5

slope of K (y2-y1)/(x2-x1)= 5

slope of MN (-3-y1)/(3-x1)=5

suitable is (4, 8)

Answer:

2,2 is correct

Step-by-step explanation:


Factor 5x² + 8x – 4 using substitution.

Answers

Answer:

(

5

x

2

)

(

x

+

2

)

is the factorised form of the expression.

Explanation:

5

x

2

+

8

x

4

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like

a

x

2

+

b

x

+

c

, we need to think of 2 numbers such that:

N

1

N

2

=

a

c

=

5

(

4

)

=

20

AND

N

1

+

N

2

=

b

=

8

After trying out a few numbers we get

N

1

=

10

and

N

2

=

2

10

(

2

)

=

20

, and

10

+

(

2

)

=

8

5

x

2

+

8

x

4

=

5

x

2

+

10

x

2

x

4

=

5

x

(

x

+

2

)

2

(

x

+

2

)

(

x

+

2

)

is a common factor to each of the terms

=

(

5

x

2

)

(

x

+

2

)

(

5

x

2

)

(

x

+

2

)

is the factorised form of the expression.

10) Ryan plans to borrow $4,500 from the bank to
purchase a used vehicle. If he borrows the money
at a rate of 4% interest for 2 years, what is the
total amount be will have to pay back to the bank?

Answers

Ryan will have to make a monthly payment of $195.41

A mortgage has an initial balance of $150,000 and is charged 5% yearly interest applied monthly. If a person makes a payment of $1000 each month, which of the following is closest to the mortgage balance after 3 months of payments?
(1) $145,165
(2)$147,520
(3)$148,160
(4)$148,870

Answers

the answer is 4 :)))

please help Brianlist Provide the missing reasons for the proof.
Given:
Prove:



Answer:

Answers

Answer:

1) given

2) reflexive property

3) corresponding angles theorem

4) AA similarity

5) Corresponding sides of similar triangles are proportional.

Pls help me



What is the volume of this figure?


Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

Volume of the figure = Base area * height

Base area:

Base area = area of trpezium + area of triangle

Trapezium:

a, b area the length of parallel sides and h is the height of trapezium.

a = 8 m ; b =  5 m & h = 3 m

[tex]\boxed{ \text{ Area of trapezium = $\dfrac{(a +b)*h}{2} $}}[/tex]

                               [tex]=\dfrac{(8+5)*3}{2}\\\\\\=\dfrac{13*3}{2}\\\\\\= \dfrac{39}{2}\\\\\\= 19.5 \ m^{2}[/tex]

Triangle:

height = 4 m & base = 8 m

[tex]\boxed{\text{Area of triangle =$\dfrac{1}{2}*base*height$}}[/tex]

                           [tex]=\dfrac{1}{2}*8*4\\\\\\= 4*4\\\\= 16 \ m^{2}[/tex]

Base area = 19.5 + 16

                 = 35.5 m²

Volume of the figure = Base area * height

                                     = 35.5 * 14

                                      = 497 m³

(-9-11)/(-4)divided by -7^2+(11 times 2^2)

Answers

The answer is -25
Just to make sure the equation is set up as a fraction right?

Both circles have the same center. What is the area of the shaded region.
D=48 km
11km
Use 3.14 for pie

Answers

Answer: the answer  50.22

Step-by-step explanation:

The graph shows a proportional relationship between pounds of aluminum and money earned from recycling.

The table below shows the amount of money that is earned from recycling copper.

Chose a Answer
You earn the same per pound for aluminum and copper


You earn more per pound recycling aluminum than copper.


You earn more per pound recycling copper than aluminum.


Not enough information to draw conclusions.

Answers

Answer: You earn more per pound recycling copper than aluminum.

Step-by-step explanation:

Multiply the binomials (4x + 7) and (2x - 8).
es )
A)
8x2 +18x - 56
B)
8x2 - 18x - 56
8x2 - 46x + 56
D)
8x2 - 46x - 56

Answers

8x²-18x-56

Solve :

(4x + 7) (2x - 8)

apply distributive method

(4x)(2x)+(4x)(-8)+7(2x)+7(-8)

simplify the following

8x²-32x+14x-56

final outcome

8x²-18x-56

Answer:

B)  [tex]8x^2-18x-56[/tex]

Step-by-step explanation:

Given expression:

[tex](4x + 7)(2x - 8)[/tex]

Apply the FOIL method: [tex](a+b)(c+d)=ac+ad+bc+bd[/tex]

[tex]\implies (4x \cdot 2x)+(4x \cdot -8)+(7 \cdot 2x) +(7 \cdot -8)[/tex]

[tex]\implies 8x^2-32x+14x-56[/tex]

Combine like terms:

[tex]\implies 8x^2-18x-56[/tex]

help me!
[tex]\frac{x}{3}+10=\frac{3x-8}{2}[/tex]

Answers

Answer:

[tex] \frac{x}{3} + 10 = \frac{3x - 8}{2} \\ \\ \frac{3x - 8}{2} - \frac{x}{3} = 10 \\ \\ taking \: lcm \\ \\ \frac{9x - 24 - 2x}{6} = 10 \\ \\ 9x - 24 - 2x = 60 \\ \\ 7x = 60 + 24 \\ \\ 7x = 84 \\ \\ x = \cancel\frac{84}{7} \\ \\\fbox{ x = 12}[/tex]

hope helpful ~

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

[tex] \frac{x + 30}{3} = \frac{3x - 8}{2} [/tex]

[tex]2x + 60 = 9x - 24[/tex]

[tex]60 + 24 = 9x - 2x[/tex]

[tex]84 = 7x[/tex]

[tex]x = 12[/tex]

I hope it will be helpful

Do 5.8 and 5.08 have the same value? In a full sentence, explain why or why not?

Answers

Answer: 5.8 is correct

Step-by-step explanation: because 5.8 is bigger

Please help me
True or false?
I accidentally answered it but
ignore it just please help

Answers

Answer:

Step-by-step explanation:

You are correct in saying false

well, the cheap answer is, linear expressions have one variable and some coefficient in front of it, like 3x or 2y + 3, or (1/4)x - 15 or such, however, a LINEar expression when drawn, yields a LINE, not a curve or such, and that only happens if the variable's exponent is 1, not more than 1, if the variable's exponent is higher, then is a curve of kinds,

so such expressions like -13xy, which has the product of two variables, or 7y³ - 2 or 4x⁵ + 9, are curvy lines.

Can you guys solve this out for me?​

Answers

Answer:

9/32 units

and

3/4 units

Step-by-step explanation:

pls tell me if im wrong

The first equation in the system models the height in feet, h, of a falling baseball as a function of time, t. the second equation models the height in feet, h, of the glove of a player leaping up to catch the ball as a function of time, t. which statement describes the situation modeled by this system? startlayout enlarged left-brace 1st row h = 35 minus 16 t squared 2nd row h = 6 18 t 16 t squared endlayout the height of the baseball is 18 feet at the moment the player begins to leap. the height of the baseball is 16 feet at the moment the player begins to leap. the height of the baseball is 35 feet at the moment the player begins to leap. the height of the baseball is 6 feet at the moment the player begins to leap.

Answers

The height of the baseball is 6 feet at the moment the player begins to leap. Then the correct option is D.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The first equation in the system models the height in feet, h, of a falling baseball as a function of time, t. the second equation models the height in feet, h, of the glove of a player leaping up to catch the ball as a function of time, t.

h(t) = 35 - 16t²

h(t) = 6 + 18t + 16t²

At t = 0, Then we have

h(0) = 35 - 16(0)²

h(0) = 35

And

h(0) = 6 + 18(0) + 16(0)²

h(0) = 6

The height of the baseball is 6 feet at the moment the player begins to leap.

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

option 2 or B

Step-by-step explanation:

100 PTS!! If line segment AB is dilated with a scale factor 3/2, what is the length of the new line segment A’B’?

A)7.5cm

B)15cm

C)20cm

D)30cm

Answers

Length of AB is not given so insufficient info provided

Let's see how to solve then

Scale factor is 3/2 means 3/2 is multiplied with AB to form A'B'

If length of AB is n the. then length of A'B' is 3n/2

b) If you were to roll the dice 100 times, how often would you expect to get doubles?

Answers

If you're rolling a single cube, then ...

-- There are 6 possible out comes.

-- One of them (5) is a multiple of 5 .

-- The probability of rolling it is (1/6) = 16-2/3 % .

If everything is acting perfectly random, then ion 100 rolls,

you'd expect to succeed 16 or 17 times.

If you're rolling a pair of cubes, then ...

-- There are (6 x 6) = 36 possible outcomes.

-- There are seven ways to get a multiple of 5.

(1+4),  (4+1),  (2+3),  (3+2),  (4+6),  (6+4),  (5+5)

-- The probability of rolling one of those is

                                                            (7/36) = 19-4/9 % .

If everything is acting perfectly random, then in 100 rolls,

you'd expect to succeed 19 or 20 times.

Pls help asap I need step by step pls I’ll give brainliest

Answers

Answer:

it would be 12

Step-by-step explanation:

Answer:

area = 100 inches^2

Step-by-step explanation:

width = x

length = 4x

x + x + 4x + 4x = 50

10x = 50

x = 5

width = 5

length = 4 × 5 = 20

area = length x width

= 20 x 5 = 100

Below are the supply and demand equations for umbrellas in a certain market. in these equations, p represents price, d represents demand, and s represents supply. d = startfraction negative 4 over 3 endfraction p 22 s = 3 p minus 36 what is p at the point of equilibrium, to the nearest tenth? a. 19.3 b. 16.5 c. 13.4 d. 12.0

Answers

The value of price (p) at a point of equilibrium is 13.4. Then the correct option is C.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The equation of the demand (D) and supply (S) is given below.

[tex]\rm D = -\dfrac{4}{3}p +22\\\\S \ = 3p -36[/tex]

Where p is price.

At equilibrium, we have

D = S

Then

[tex]\begin{aligned} \dfrac{4}{3}p +22 &= 3p -36\\\\3p + \dfrac{4}{3} p &= 36 + 22\\\\\dfrac{13}{3}p &= 58\\\\p &= 13.38 \approx 13.4 \end{aligned}[/tex]

More about the linear system link is given below.

https://brainly.com/question/20379472

really need help with this math makeup work pleasee

Answers

Answer:

A and D would be congruent

Step-by-step explanation:

COngruent angles are angles with the same measurements (same size angles).

Answer:

First Image: ∠G ≅ ∠B, ∠E ≅ ∠D Second Image: ∠1 = 140 ∠2 = 40

Step-by-step explanation:

∠G ≅ ∠B by Alternate exterior angles, ∠E ≅ ∠D by Alternate interior angles  ∠1 = 140 by alternate exterior angles and ∠2 = 40 by supplementary angles 180 - 140 = 40

solve the pattern to y=-3(x+2)²+4.​

Answers

Answer:

-8x

Step-by-step explanation:

[tex]-3(x+2)^{2}+4\\-3(2x)^{2}+4\\-12+4\\\ y=-8x[/tex]

#36
You look up at a drone at an angle of elevation of 23º. Your eyes are 5 feet above the ground, and the distance to
the drone is 210 feet. What is the altitude of the drone? Round your answer to the nnearest tenth.
Altitude: about ___
feet

Answers

Using the slope concept, it is found that the height of the drone is of about 94 feet.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

The vertical change is of h - 5, in which h is the altitude of the drone.The horizontal change is of 210 ft.The angle is of 23º.

Hence:

[tex]\tan{23^\circ} = \frac{h - 5}{210}[/tex]

[tex]h - 5 = 89[/tex]

[tex]h = 94[/tex]

The height of the drone is of about 94 feet.

More can be learned about the slope concept at https://brainly.com/question/18090623

help please!!!!!11!!!1!!

Answers

Answer:

2.1 meters

Step-by-step explanation:

[tex]13.8=2w+2(w+2.7)[/tex]

[tex]13.8=2w+2w+5.4[/tex]

[tex]13.8=4w+5.4[/tex]

[tex]8.4=4w[/tex]

[tex]2.1=w[/tex]

10) 192
11) 58
12 120



Which I’m guessing they want the angle that has those ??

Answers

Answer:

10: Reflex

11. Acute

12. Obtuse

Step-by-step explanation:

Reflex: Greater than 180 but less than 360

Acute: Less than 90

Obtuse: Greater than 90 and less than 180

Answer:

I believe they want what it looks like, so i have gone ahead and drew those below: its not the best but i tried.

Step-by-step explanation:

Amy glues 6 stickers on the sides of a cube: She shows the cube to her friend (see picture). Which sticker is on the face opposite to the mouse?​

Answers

Answer:

When I grow up I want to be

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