show that (3x+7)² -84x = (3x-7)​

Answers

Answer 1
First expand...

(3x+7)^2 = 9x^2+42x+49

Bring down -84x...

9x^2+42x+49-84x

Solve...

9x^2-42x+49

Factor...

(3x-7) (3x-7) = (3x-7)^2


Related Questions

Which expression represents the second partial sum for...?

Answers

Answer:

c

Step-by-step explanation:

just took the quiz

Answer:

C

Step-by-step explanation:

Edge2021

Estimate the square root of the following imperfect square:
7.
a. 2.2
b. 2.4
C. 2.6
d. 2.8

Answers

This problem is just try and error.

First we try number 2.5 since its the average of all the answers.

2.5^2=6.25

This is smaller than 7 so the answer is either 2.6 or 2.8

Now let's try 2.7

2.7^2=7.29

Which is bigger than 7 and that means the correct answer is 2.6 :)

c is the correct answer thanks

Select all ordered pairs that satisfy the function y = 5x + 5.
A.
(5, 30)
B.
(-3,-10)
C.
(-7, 30)
D.
(-7, -30)

Answers

Answer:

its D

Step-by-step explanation:

2^4x2^3 divide 2^5x2^4

Answers

Answer:

1/4

Step-by-step explanation:

If lucy has a card buiness she has an oder to make 65 cards she makes the same number of cards everyday for 7 days how many cards does she have to make on the last day

Answers

Answer:

2

Step-by-step explanation:

Total number of cards = 65

she makes the same number of cards everyday for 7 days

Number of days = 7

Cards per day = 65 / 7 = The result is 9 with a remainder of 2.

This means, she makes 9 cards per day for 7 days. Then on the last day she is left with 2 cards to make.

what is the unit rate of 2 = 4.5 of a unit rate

Answers

Answer:

1 = 2.25

Step-by-step explanation:

4.5/2 = 2.25

Meaning 1 is 2.25

Hope this helped!

Answer:

2.25

Step-by-step explanation:

is this a function?

Answers

Answer:

NO

Step-by-step explanation:

No, because it does not pass the vertical line test.

r(x)=−x−7 when x=−2,0, and 5

Answers

Answer:

r(0) = -7

r(2) = -5

r(5) = -12

Step-by-step explanation:

name the quadrilateral

Answers

Answer:

Step-by-step explanation:

Quadrilaterals

Square

Rectangle

Rhombus

Trapezoid

Parallelogram

finish the lyrics

a potoao flew

Answers

Around my room before you came.

Answer: around my room before you came

Step-by-step explanation:

The point (-6, 4) lies on a straight line that has a gradient of -2. What is the
equation of this line?

Answers

Given:

Point on straight line = (-6,4)

Gradient = -2

To find:

The equation of the line.

Solution:

Point-slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (-6,4) with slope -2. So, the equation of the line is:

[tex]y-4=-2(x-(-6))[/tex]

[tex]y-4=-2(x+6)[/tex]

[tex]y-4=-2x-12[/tex]

Adding 4 on both sides, we get

[tex]y-4+4=-2x-12+4[/tex]

[tex]y=-2x-8[/tex]

Therefore, the equation of the line is [tex]y=-2x-8[/tex].

Which temperature is greater, -20F or -60F

Answers

Answer:

-20

Step-by-step explanation:

Answer:

It's -20F :)

Step-by-step explanation:

hsbshehehebvdhshhakakkanabsbxh

Two rectangles are similar. Which proportion
could you solve to find the missing side length?

ILL GIVE U BRAINLEST PLEASE HELP ME

Answers

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

x=6

Hopefully it is correct and I tried my best good luck

is it a abc or d please help asap

Answers

Answer:

The answer is D

Step-by-step explanation:

how many solutions does the system of equations have explain 2.5(x+4)=4.1x+16-1.6x

Answers

the statement is false

GIVING 20 POINTS, HELP ASAP!! DUE IN 45 MIN!!!!!

Two health clubs offer different pricing plans for their members. Both health clubs charge a one-time sign-up fee and a monthly membership fee. The graph below represents what Health Club B charges.

Answers

The equation of line is solved and Health Club B costs $ 7 less in monthly membership fees that Health Club A

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 3 , 106 )

Let the second point be Q ( 6 , 187 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 187 - 106 ) / 3

Slope m = 27

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 106 = 27 ( x - 3 )

y - 106 = 27x - 81

Adding 106 on both sides , we get

y = 27x + 25   be equation (1)

Now , let the equation of line be represented as B

And , the value of B is

Let the first point be R ( 3 , 105 )

Let the second point be S ( 6 , 165 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 165 - 105 ) / 3

Slope m = 20

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 105 = 20 ( x - 3 )

y - 105 = 20x - 60

Adding 105 on both sides , we get

y = 20x + 45   be equation (2)

Now , when x = 1

Substitute the value of x = 1 in equation (1) and equation (2) , we get

y₁ = 27 + 25 = $ 52

y₂ = 20 + 45 = $ 65

So , health club B costs $ 7 less than health club A every month

Hence , the equation of lines is solved

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Please help me find the area of this triangle!

Answers

Answer:

150

Step-by-step explanation:

1/2 multiply base times hieght

Answer:

150

Step-by-step explanation:

given in the pic above

in the pic its 15×10

i have written mistakely 15×12

Hi my name is jase and i need some help on my math homework the question is Kevin is planting 15 bushes and 9 trees in rows. If he wants all the rows to be exactly the same, with no plants left over, what is the greatest number of rows Kevin can plant?

Answers

3 rows of 5 bushes and 3 bushes :)

TAS
NOT
SCAL
B
58°
A, B, C and D are points on the circumference of the circle, centre O.
DOB is a straight line and angle DAC = 58°.
Find angle CDB.

Answers

Answer:

Angle CDB = 32

Step-by-step explanation:

Here, we want to find the measure of CDB

Mathematically;

angle DCB = 90

This is because angle at the center is twice the angle at the circumference

Also;

angle CAD = angle CBD = 58

This is because they are angles in the same segment

Furthermore;

CDB + 90 + 58 = 180

This is because sum of angles in a triangle is 180

CDB = 180-90-58

CDB = 32

PLEASE HELP FAST !!

What is the volume of the cylinder below?

A. 288 units
B. 324 units
C. 216 units
D. 432 units

Answers

The volume of the cylinder is 288π units²

How to find the volume of a cylinder?

volume of a cylinder = πr²h

where

r = radiush = height

Therefore,

r = 6 units

h = 8 units

volume of the cylinder = π × 6² × 8

volume of the cylinder = π × 36 × 8

volume of the cylinder =  288π units²

learn more on volume here: https://brainly.com/question/12629046

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1.02 quiz sinusoidal graphs

Answers

The characteristics of the sinusoidal function can be found from the given

graph of the function.

Correct Response;The minimum of the sinusoidal function is 1

Method used to arrive at the above response;

The sinusoidal function is the sine function that has the following general equation;

y = a·sin(b·(x - h)) + k

a = The amplitude

b = Angular frequency

h = The horizontal shift

k = The vertical shift

Required:

The minimum value of the sinusoidal function.

Solution;

From the given graph, we have;

The amplitude, a = 2

The period, T = 10 = 2·π/b

b = π/5

The vertical shift, k = 3

The horizontal shift = 0

The minimum value of the function = k - a

Therefore;

The minimum value of the function is; 3 - 2 = 1

Learn more about sinusoidal functions here:

https://brainly.com/question/6666829

Answer:

[tex]\displaystyle 1[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = 2cos\:(\frac{\pi}{5}x - \frac{\pi}{2}) + 3} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2\frac{1}{2}} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{\pi}{5}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{10} \hookrightarrow \frac{2}{\frac{\pi}{5}}\pi \\ Amplitude \hookrightarrow 2[/tex]

OR

[tex]\displaystyle \boxed{y = 2sin\:\frac{\pi}{5}x + 3} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{10} \hookrightarrow \frac{2}{\frac{\pi}{5}}\pi \\ Amplitude \hookrightarrow 2[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2cos\:\frac{\pi}{5}x + 3,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle 2\frac{1}{2}\:units[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle 2\frac{1}{2}\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{2\frac{1}{2}} = \frac{\frac{\pi}{2}}{\frac{\pi}{5}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(\frac{\pi}{5}x - \frac{\pi}{2}) + 3.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph approximately hits [tex]\displaystyle [-10, 3],[/tex]from there to the y-intercept of [tex]\displaystyle [0, 3],[/tex]they are obviously approximately [tex]\displaystyle 10\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 10.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 3,[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

**Now, the minimum value is the lowest possible value the graph touches, and in this case, the graph's lowest peaks cycle around [tex]\displaystyle y = 1,[/tex]therefore the minimum of his sinusoidal function is [tex]\displaystyle 1.[/tex]

I am delighted to assist you at any time.

For what equations below is x = -3 a possible equation select three options

Answers

Show us the options

Answer:

x3-6x-9=0

Step-by-step explanation:

x=-3

-27+18-9=0

0=0

Find tan
A 8/15
B 15/8
C 15/7
D 8/17

Answers

Answer:

cos α = 8/17

Apply Pythagoras theorem for triangle ,

Let get unknown side of triangle is y

17^2 = 8^2 + y^2

17^2 - 8^2 =  y^2

225 = y^2

y = sqrt(225)

y = 15

tan α = 15/8

Step-by-step explanation:

Answer:

The correct answer is 8/15 on edg

HELP
A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
the maximum amount of profit the company can make, to the nearest dollar.
y= -2x^2 + 105x – 859

Answers

Answer:

519

Step-by-step explanation:

or 519.125

The maximum amount of profit the company can make, to the nearest dollar should be considered as the $519.

Calculation of the maximum amount of profit

Since the amount of profit made expressed as [tex]y=-2x^2+105x-859[/tex]

Now

At maximum profit, dy/dx = 0

So,

dy/dx = -4x + 105

0 = -4x + 105

4x = 105

x = 105/4

x = 26.25

Now

[tex]y=-2x^2+105x-859\\\\y=-2(26.25)^2+105(26.25)-859[/tex]

y = - 1,378.125+2,756.25-859

y = 519.125

Hence the maximum amount of profit the company can make is $519.

Learn more about profit here: https://brainly.com/question/24599492

What is 35% of 130 write your answer in

Answers

Answer:

45.5

Step-by-step explanation:

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

someone let me knoww

Answers

Okay so side RS is = side RQ
Which mean angle Q and S are equal
180-43=137
That mean q and s angles combine =137
137/2
Q and S =68.5
I hope this helps and I hope it’s right

question: determine whether the set of numbers in each table is proportional. if the relationship is proportional, identify the constant of proportionality. Explain your reasoning

Answers

Answer:

chicken wing chicken wing hot dog and baloney chicken and macaroni chillen with my homie

Step-by-step explanation:

PLEASE HELP ME SOLVE THIS!
GIVING ALL MY POINTS!

Answers

It’s the first box goes to the 3rd missing thing and the second goes to the 4th and the 3rd goes to the 1st and 4th goes to the 2nd I think if that makes sense

A car drives 120 miles at a speed of 40 mph. How long did it take?

Answers

Answer:

3 hours

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

120/40=3

The cost of chartering a bus for the great america trip was split evenly by the 20 students planning to go. The day before the trip, 10 more students decided to go. dividing the cost evenly among all 30 students brought the average cost down by $9.00 per person. What was the total cost of chartering the bus? Please answer me with an explanation

Answers

Answer:

20c= 30(c-9)

Step-by-step explanation:

The first step in solving a word problem is always to organize the information you have, and put it into equations to solve.

Let c be the cost per student originally.

The cost of the bus has not changed, so the cost/student * the number of students has not changed:

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