Can anyone solve the problem on the picture?

Can Anyone Solve The Problem On The Picture?

Answers

Answer 1

Quotient:

[tex]\dfrac{9x^2 +68x +35}{x+7}\\\\\\=\dfrac{9x^2 +63x +5x +35}{x+7}\\\\\\=\dfrac{9x(x+7) +5(x+7)}{x+7}\\\\\\=\dfrac{(9x+5)(x+7)}{x+7}\\\\\\=9x+5[/tex]

Remainder:

[tex]f(x) = 9x^2+68x+35[/tex]

By the remainder theorem,

[tex]f(-7) = 9(-7)^2 +68(-7) +35 = 441 - 476+35 = 476 - 476 =0\\\\[/tex]

Which is the remainder when f(x) is divided by (x+7)


Related Questions

Quadrilateral ABCD has the following
vertices:
A(2, 7)
B(8,1)
C(1, -9)
D(-6, -2)
Is quadrilateral ABCD a parallelogram, and
why?

Answers

Answer:

No because the angle of point C is NOT congruent to the angle of point A.

Step-by-step explanation:

A quadrilateral MUST be a parallelogram if it has both pairs of its opposite angles congruent.

Use the distributive property to
expand the expression below.
6(2a – 3) = [?]a - [ ]

Answers

Answer:

12a - 18

Step-by-step explanation:

6 x 2 = 12 (then add the "a" = 12a

6 x 3 = 18

put the minus in the middle then get

12a- 18

Which is the best estimate for the length this tube

Answers

Answer:

Step-by-step explanation:

plz help will mark as brainliest​

Answers

-7.5

Explanation:

15/2 = 7.5
7.5 - 15 = -7.5

Step-by-step explanation:

tae tae tae tae tae tae tae tae

se quiere construir una casa en 10 dias 10 obreros trabajando 10 horas si se incrementa 2 obreros pero se disminuye 2 horas ¿en cuantos dias se acabaria la casa?

Answers

se necesitarían 14 días para construir la casa

if you subtract 15 from a number and multiply by-6, the result is -54. What is the number?​

Answers

Answer:

24

Step-by-step explanation:

You do the opposite of whats states -54 divided by -6 because it says the number was multiplied which gives us 9 then since 15 was subtracted we instead add 15 which equals 24.

Answer:

the number is -5.7

Step-by-step explanation:

do everything in reverse operations,

-54 divided by -6= 9.3

9.3-15= -5.7

For proof you can do it yourself on a calculator.

What is the product of 0.15 x 0.32? *

Answers

Answer:

0.048

Step-by-step explanation:

Answer:

The answer to 0.15 x 0.32 is 0.048

In AFGH, GH = FG and mZF = 10°. Find mZH.

Answers

Answer:

f(x)= 40x

Step-by-step explanation:

Hope this helps, have a nice day/night! :D

Plz help me solve for x and y

Answers

Answer:

x = 40°

y = 30°

Step-by-step explanation:

Given parallelogram ABCD :

∠A = 3x°∠B = 2y°∠C = 120°∠A = ∠C∠B = ∠D∠A + ∠B = 180°∠B + ∠C = 180°∠A + ∠B + ∠C + ∠D = 360°

∠A = ∠C

3x = 120

x = 120 ÷ 3

x = 40°

∠B + ∠C = 180°

2y + 120 = 180

2y = 180 - 120

2y = 60

y = 60 ÷ 2

y = 30°

Answer:

x = 40°

y = 30°

Step-by-step explanation:

Given the diagram of a parallelogram, where:

∠A = 3x°, ∠B = 2y°, and ∠C = 120°

The given problem also requires us to find the values of x and y.

In reference to the Parallelogram Opposite Angles Theorem, where it states that: if a quadrilateral is a parallelogram, then it will have congruent opposite angles.  In other words, ∠A ∠C , and ∠B ∠D.

Solve for x:

Hence, we can establish the following equality statement to solve for the value of x:

m∠A = m∠C

3x° =  120°

Divide both sides by 3 to solve for x:

[tex]\displaystyle\mathsf{\frac{3x^{\circ}}{3}=\:\frac{120^{\circ}}{3}}[/tex]

x = 40°

Therefore, the value of x = 40°.

Solve for y:  

In order to solve for y, we must refer to the Parallelogram Consecutive Angles Theorem, where it states that if a quadrilateral is a parallelogram, then its consecutive angles are supplementary whose sum add up to 180°.

In the given diagram, ∠A and ∠D, ∠B and ∠C are consecutive angles.  

We can establish the following equation to solve for the value of y:

m∠B + m∠C = 180°

2y° + 120° = 180°

Subtract 120° from both sides:

2y° + 120° - 120° = 180° - 120°

2y° = 60°

Divide both sides by 2 to solve for y:

[tex]\displaystyle\mathsf{\frac{2y^{\circ}}{2}=\:\frac{60^{\circ}}{2}}[/tex]

y = 30°

Therefore, the value of y = 30°.

The functions f and g are defined as follows.
3
f(x) = 3x - 3 g(x) = 3x' +5
Find f(-6) and g(-3).
Simplify your answers as much as possible.
f(-6) -
X
g(-3) =

Answers

F(-6)=3(-6)-3
-21
G(-3)=-4

amara needs $624 for her budget every week. She works 40 hours a week.CLEARCHECKWhat is the minimum amount Tamara needs to earn per hour?$per hour

Answers

She needs to earn at least about 16$ every hour

15.6 or

Step-by-step explanation:

Based on the given conditions, formulate:

624 ÷ 40

Reduce the fraction:

get the result:

15.6 or

Answer:

15.6 or

(Hope this helps can I pls have brainliest

Find the slope of the table.

Answers

Answer:

Slope= -4

Step-by-step explanation:

Slope is rise over run (y over x)

So, looking at the table, you can see that every time the y values went down by 8, the x values went up by 2.

So, the slope can be written as:

-8/2

Simplified to -4/1 or just -4

PLS HELP PLS ILL GIVE BRAINLKEST THANKS

Answers

Answer:

2 d>7 because at first you have to distance how much hours is from Virginia to Florida and thats approximately 12hrs and 33 minutes so, d is greater than 7 hours

If a ping pong ball falls from the top of a building that is 168 feet high, how many seconds will it take the ball to hit the ground

Answers

Answer:

3.2 seconds

Step-by-step explanation:

Write the system of equations below as a matrix

{2x - 7y = 4
{x - 3y = 3​

Answers

x1=2x2=1y1=-7y2=-3c1=4c2=3

Matrix:-

[tex]\\ \sf\longmapsto \left[\begin{array}{ccc}\sf 2 &\sf -7 &\sf 4\\ \sf 1&\sf -3 &\sf 3\end{array}\right][/tex]

HELP ME PLEASEEEEEE!!!!!!!!

Answers

Answer:

probs C

Step-by-step explanation:

hope it helps

how to find the vertex of a parabola in standard form

Answers

Step-by-step explanation:

TO find the vertex, you need to find the x− and y− coordinates.

The formula for the axis of symmetry and the x-coordinate of the vertex is:

x = -b over 2a

To find the y-coordinate the vertex, substitute the value for x into the equation and solve for y

y=a(-b over 2a) squared + b(-b over 2a) + c

Six ounces of a nutrition shake provides 2 grams of protein. Will 24 ounces of the drink provide 10 grams of protein? Explain

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

In pic

x =

82
262
98

when answering this can you explain how you got the answer so i can stop asking brainly.

Answers

Answer:

82

Step-by-step explanation:

in a quadrilateral the sum of opposite sides should be 180 degrees

The answer is 82

The angles opposite from each other are supplementary, meaning they equal 180 degrees

180 - 98 = 82

URGENT PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

The correct answer will be option D.

Step-by-step explanation:

They both have a pretty fair chance of winning.

Dillon earned $170 working 20 hours at the carwash what was his hourly rate of pay?​

Answers

To find this answer, we must divide the amount Dillion earned, by the time he put into his work.

170 / 20 = 8.5

Therefor, we now know that Dillion makes $8.5 an hour.

Please help with this question.

Answers

Answer:

x=52º

Step-by-step explanation:

A triangle's angles are equal to 180º.

Given the opposite angle to H is 66º, we can find the opposite angle of angle I. The opposite angle of angle K is 62º, assuming that it is equivalent to the opposite angle of angle I we can solve for x.

66+62+x=180

Add 66 and 62.

128+x=180

Subtract 128 from both sides of the equation.

x=52

Angle x is equal to 52º.

Hope this helps :)

A car travels 23 km in 15 minutes. How fast is it going in kilometres per hour?

Answers

Answer:

96 km/h.

Step-by-step explanation:

23 x

-- = ----

15 60

60/15 = 4

24 x 4 = 96

x = 96

A line contains the points (-3,-9) and (4,5). What is the point-slope form of the line? A. y + 9 = -2 (x + 3)
B. y - 5 = 3 (x - 2)
C. y - 9 = 2 (x + 3)
D. y + 9 = 2 (x + 3)​

Answers

Answer:

D

Step-by-step explanation:

First find the slope.

[tex]Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{5-[-9]}{4-[-3]}=\dfrac{5+9}{4+3}\\\\\\=\dfrac{14}{7}=2[/tex]

Point slope form:

y - y1 = m(x -x1)

y -[-9] = 2 (x - [-3])

y +9 = 2 (x + 3)

The recipe for grandmas famous apple pie calls for 2 cups of flour 1 egg and 3/4 cup of sugar. You accidently use 1 cup of sugar. To keep the quantities proportional how many cups of flour and eggs do you need?

Answers

Answer:

I think 2 1/2 for flour and 2 eggs

What is the equation of the line that passes through the point (-6,-2)and has a slope of 1/6

Answers

Answer:

y = 1/6x -1

Step-by-step explanation:

Use point-slope form: y - y₁ = m (x - x₁)

y - (-2) = 1/6 (x - (-6))

y + 2 = 1/6x + 1

y = 1/6x - 1

Answer:

[tex]y=\frac{1}{6}x-1[/tex]

Step-by-step explanation:

According to,

y = mx + c

They have already given the slope of the line.

That means they've given value for m

So,

m = [tex]\frac{1}{6}[/tex]

And now we have to find the value of c ( the intercept on the y axis) using (-6,-2)

Here,

 ( -6 , -2 )

   ↑    ↑

  ( x ,  y )

Let us find the c now.

y = mx + c

[tex]-2 =\frac{1}{6} *-6+c\\-2=\frac{-6}{6} +c\\-2=-1+c\\-2+1=c\\-1=c[/tex]

Now let's write the equation of the line like this

y = mx+ c

[tex]y=\frac{1}{6}x-1[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

A service call for repairing your mower is $50 plus $80 per hour.
How many hours did it take to service your mower if the charge was
$90?

0.2 hours
0.5 hours
1.125 hours
2 hours

Answers

Answer:

0.5 hours

$130 = 1h

$90 = 30m/1h

Write the following numbers in order of size. Start with the smallest number. -8 2 -12 5 10 ​

Answers

Answer:

-12, -8, 2, 5, 10

Step-by-step explanation:

-12, -8, 2, 5, 10

Answer:

-12, -8, 2, 5, 10

Step-by-step explanation:

We have to remember here that when integers are negative, the number that looks the biggest is actually the smallest! What do I mean? Well, a value of -100 is actually way smaller than a value of -1, since it's a lot farther to the left of 0 than -1 is. Does that make sense?

Let's take that in mind as we start looking at our values. If what I just said is true, -12 is the smallest value, since it's the farthest to the left of 0. Then comes -8. From there, it's not too hard. 2 is the next smallest, then 5, and finally, 10 is our greatest number.

So, our answer is -12, -8, 2, 5, 10. Hopefully that's helpful! :)

Help me with this please

Answers

Answer:

5

Step-by-step explanation:

By process of elimination, we can say for sure that C and D are not the right answers because as x- the numbers on the top- increases, y- the numbers on the bottom- increases. This means that the slope is not negative, because the slope is the rate of change and it does not have a negative rate of change.

The equation for slope is y2-y1 / x2-x1. Meaning, y is on top and x is on bottom. This creates a fraction. So let's take 0 and 1 for X, the first and second values, and 3 and 8 for y, the first and second values. We swap them, because the second y value comes first, so we have 8 - 3 for the top, the numerator. Then we have 1 - 0 for the bottom, the denominator. Solving 8 - 3 and 1 - 0, we have 5/1. 5/1 simplifies to 5, and thus 5 is your slope.

solve pls brainliest

Answers

Answer:

76%

Step-by-step explanation:

to make this a percentage we need to make the denominator 100. luckily 25*4=100, so multiply 19/25 by 4/4 to get 76/100. so our percentage is 76

Answer:

76%

Step-by-step explanation:

percent is out of 100, so 19*4/25*4=76/100=76%

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