What are the solutions to the quadratic equation 3(x − 4)2 = 75?

x = −9 and x = 1
x = −5 and x = 5
x = −4 and x = 4
x = −1 and x = 9

Answers

Answer 1

Answer:

x=-1 and x=9

Step-by-step explanation:

[tex]3(x-4)^{2} =75[/tex]

[tex](x-4)^{2} =\frac{75}{3}[/tex]

[tex](x-4)^{2}[/tex]=[tex]25[/tex]

[tex](x-4)(x-4)[/tex]=[tex]25[/tex]

[tex]x^{2} -4x-4x+16[/tex]=[tex]25[/tex]

[tex]x^{2} -8x+16[/tex]=[tex]25[/tex]

[tex]x^{2} -8x+16-25=0[/tex]

[tex]x^{2} -8x-9=0[/tex]

[tex](x-9)(x+1)=0[/tex]

[tex]x-9=0\\x=0+9\\x=9[/tex]        [tex]x+1=0\\x=0-1\\x=-1[/tex]

therefore x=9 and x=-1

Answer 2

Answer:

the answer is d x = −1 and x = 9

Step-by-step explanation:


Related Questions

Solve the equation
d-6=-20

Answers

Answer:

d = -14

Step-by-step explanation:

[tex]d-6=-20\\\\d-6+6=-20+6\\\\\boxed{d=-14}[/tex]

Hope this helps.

Answer:

d = –14

Step-by-step explanation:

Simplify the equation to find d:

d – 6 = –20

d = –20 + 6

d = –14

what -45 divided by 75

Answers

Answer:

-0.6

Step-by-step explanation:

The answer is negative because -45 was a negative number.

I didn't explain that very well :|

Hope I helped :)

Can I get Brainliest anyway, even though I did a terrible job explaining? .-.

the answer is -0.6 or -3/5

Please help me answer this question 17

Answers

Answer:

∠AEC = 139°

Step-by-step explanation:

EC bisects ∠BED. This means that the line EC cuts the angle in half, so        ∠BEC = 4x + 1

An animal reserve has 24,000 elks. The population increases by 12% a year. How long until the population is equal to 96,000,000

Answers

Answer:33,325,000

Step-by-step explanation:95,976,000÷2.88=33,325,000

A school is planning a fundraiser with all profits going to charity. The amount of profit is found by subtracting the total cost from total ticket sales.
Ticket Sales: 200x−10x2

Event Cost: 500+20x

If x represents the price of a ticket, what ticket prices will result in a profit of $200 or more? Express your answers rounded to the nearest cent.



A
$5.69≤x

B
$5.69≤x≤$12.33

C
$3.29≤x

D
$3.29≤x≤$21.29

Please help.

Answers

The value of the x should be more than or equal to 5.69. Then the correct option is A.

What is inequality?

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.

A school is planning a fundraiser with all profits going to charity.

Ticket Sales: 200x − 10x²

Event Cost: 500 + 20x

The amount of profit is found by subtracting the total cost from total ticket sales. A profit of $200 or more.

             Event cost − Total sales  ≥ Profit

         (500 + 20x) − (200x − 10x²) ≥ 200

− 200x + 10x² + 500 + 20x − 200 ≥ 0

                         10x² + 180x − 700 ≥ 0

                         10x² − 180x + 700 ≥ 0

                                  x² − 18x + 70 ≥ 0

On simplifying, we have

(x − 5.69) (x − 12.33) ≥ 0

                               x ≥ 5.69, 12.33

Thus, the value of the x should be more than or equal to 5.69. Then the correct option is A.

More about the inequality link is given below.

https://brainly.com/question/19491153


A 3-yard roll of butcher paper costs $8.55. What is the price per foot?

Answers

Answer:

$2.85

Step-by-step explanation:

8.55/3

Answer:

$2.85 per foot

Step-by-step explanation:

all u gotta do is 8.55/3

what if 8 crayons cost $11.50 what would one crayon cost lol.

Answers

Answer:

$1.44

Step-by-step explanation:

Simply divide 11.5 by 8

8 goes into 11 1 time with 3 left over.

8 goes into 35 4 times with 3 left over.

8 goes into 30 3 times with 6 left over.

8 goes into 60 7 times with 4 left over.

8 goes into 40 5 times.

1.4375

Answer $1.44 a Crayon

The engine of a car has a displacement of 307 cubic inches. What is the displacement in cubic feet? Round your answer to 2 decimal places.

Answers

Answer:

5.03 L

Step-by-step explanation:

we know that 1 inch = 2.54 centimeters

 (1 inch)3 = (2.54 cm)3

1 in3 = 16.387 cm3

 

therefore

volume in cm^3 = (volume in in3) x (16.387 cm3/1 in3)

volume in cm3 = (307x 16.387) cm^3

volume in cm3 = 5030.809cm^3

let us convert to liters.

we know that

1 L = 1,000 cm3

 

volume in L = (volume in cm3) x (1 L/1,000 cm3)

volume in L = (5030.809/1,000) L

volume in L = 5.03 L

307 cubic inche engine displaces 5.03 L

plz answer the top one #13 (its not D)

Answers

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

boiling point is not related to the amount present

Use the protractor to find the degree measure of the angle.
Make sure to write your answer with the degree sign.

Answers

Answer:

the angle is 136*

Step-by-step explanation: hope this heled pls mark braineist

slope = -1/6; (12, -2)

Answers

Do you need it graphed?

Answer ASAP for brainliest

Answers

Answer:

81

Step-by-step explanation:

uh indeed d ejd2njdenje

Answer:

-81

Step-by-step explanation:

I searched it up, should be right

72 = -6r

Pls solve in steps forgot how to solve these lol

Answers

u just divide both sides by -6

Answer:

72 = -6r

r= -72/6

r = -12

is the answer

1x
—— + 6 = -8 please help me I don’t understand do if you could explain I’d appreciate it.
7

Answers

Answer:

-14

Step-by-step explanation:

_____ + 6 = - 8

Let x + 6 = - 8

x = - 8 - 6

x = - 14

Thus, - 14 + 6 = - 8

Answer: -14

Step-by-step explanation:

We know all the numbers can be found in a different equation because three numbers are always in a fact family.

Remember: negative + positive = negative

-8 + 6 = -14

The answer is -14.

Given g(x) = -x + 4, solve for x when g(x) = 8

Answers

Answer:

-4

Step-by-step explanation:

g(x)= -x+4

g(x)=8

x=?

we know,

g(x)= -x+4

8= -x+4

4= -x

x= -4#

please follow me...

Question 3

What condition is necessary for AE and BF to be equal? In this situation, what is the relationship between AB and CD? What can you conclude

about parallel lines with regard to the distance between them? Use the word perpendicular in your answer.

Answers

Answer:

In order for line AE to equal line BF, m/DFB and m/CEA must both be 90°. When this occurs, line AB does not intersect line EF: the two lines are parallel. line AE and line BF represent the perpendicular distances between line AB and line CD. When the two lines are parallel, the perpendicular distance between them is the same throughout their length.

Step-by-step explanation:

Plato Sample Question

When the two lines are parallel, then the perpendicular distance between them is the same throughout their length.

How are parallel straight lines related?

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.

In order for line AE to equal line BF, Angle DFB and Angle CEA must both be 90°.

When this occurs, line AB does not intersect line EF then the two lines are parallel.

Thus the line AE and line BF represent the perpendicular distances between line AB and line CD.

When the two lines are parallel, then the perpendicular distance between them is the same throughout their length.

Learn more about parallel lines here:

https://brainly.com/question/13857011

#SPJ5

Find an ordered pair (x, y) that is a solution to the equation.
5x + y=9

Answers

Answer:

Some points are: (1, 4), (0, 9), and (3, -6), just to name a few.

Step-by-step explanation:

We can find out an ordered pair for this equation by plotting the line 5x + y = 9 on a graph. If you graph 5x + y = 9, then we see that the point (1, 4) is a point that the line intersects. Let's substitute that values:

5(1) + 4 = 9

Order of operations, multiply first...

5(1) = 5

Then it becomes...

5 + 4 = 9

We can see that 5 plus 4 actually does equal 9, so the point (1, 4) works. Let's try a different point. We can see the point (0, 9) is another point that the line intersects. Same process for this point too.

5(0) + 9 = 9

Then...

5(0) = 0

0 + 9 = 9

We see that 0 plus 9 ALSO works, but let's try one more time. Another point that works is the point (3, -6) Again, same process.

5(3) + -6 = 9

That is equal to:

5(3) - 6 = 9

Simplify...

5(3) = 15

15 - 6 = 9

15 minus 6 works as well! Any point that the line intersects will be a solution for the equation. I hope this helps!

What is the slope of line segment PQ with coordinates P(-2,5) and Q(-1, 1)?

Answers

Answer:

-4

Step-by-step explanation:

[tex]Given:[/tex] Line segment PQ with points P(-2.5) and Q(-1,1)

m = (y₂ - y₁)/(x₂ - x₁)

m = (1 - 5)/(-1 - (-2)) = -4/1 = -4

Answer:

-4/1

Step-by-step explanation:

Jimmy wants to buy socks that cost $20.
How much change does he receive if he
gives the cashier $100?

Answers

Answer:

80

Step-by-step explanation:

100-20=80

Answer:

He receives $80 in change.

Step-by-step explanation:

Simple Math.

Leisha is retiling a hallway in her house with linoleum squares. The area she is tiling measures 60 inches by 132 inches. Each square measures 8.0 inches by 8.0 inches. How many whole tiles should Leisha buy

Answers

Answer:

124

Step-by-step explanation:

Multiply 60 by 132. You get 7920.

Now multiply 8 by 8. You get 64.

Divide 7920 by 64. You get 123.75.

SInce the question asks for whole tiles we can't buy 0.75 of a tile, so she could just get one more to fill in that 0.75. That would be 124.

HELP ASAP, BIG TEST!
When f(c)= 10x^2 + 3x -4, evaluate f(-4)

Answers

Answer:

[tex]f(x) = 144[/tex]

Step-by-step explanation:

This problem deals with a function. All this question is asking is to plug in -4 every time an x appears.

So, let's do that:

[tex]f(-4) = 10(-4)^{2} + 3(-4) - 4[/tex]

[tex]f(-4) = 10(16) - 12 - 4[/tex]

[tex]f(-4) = 160 - 16[/tex]

[tex]f(-4) = 144[/tex]

a line passes through the point (0, 5) and has a slope of -5/4 what is the equation of the line?

Answers

Answer:

y=-5/4x+5

Step-by-step explanation:

( 0 , 5 )

The 5 is the y point meaning.

y = -5/4 x + 5

*slope

y = -5/4 x + 5

*where it crosses the y-axis

Pls help me answer it thx​

Answers

Answer:

20d+4

Step-by-step explanation:

7d^2+6d+4... (: (: (:

ILL MARK YOU AS BRAINLIEST, PLEASE HELP!!!

Answers

Answer:

A

Step-by-step explanation:

How does light travel so you can see in the dark

Answers

Answer:

Step-by-step explanation:

Light travels as a wave. But unlike sound waves or water waves, it does not need any matter or material to carry its energy along. This means that light can travel through a vacuum—a completely airless space. ... It speeds through the vacuum of space at 186,400 miles (300,000 km) per second.

Part C: Create a graph that represents the solutions to the equation from Part A

Answers

Answer: Dear friend google

Step-by-step explanation: search it up

Tim dug a hole that was 16 1/2 inches deep. He left a pile of dirt next to the at was inches high. Show how you could use subtraction to find the e from the top of the pile of dirt to the bottom of the hole. 8 3/4 Tim dug a hole that hole that was distance from the

Answers

Answer: 2 inches

Step-by-step explanation:

14 inches

Step-by-step explanation:

Length of the hole = 16(½) inches

Length of the dirt = 8(¾)inches

The distance between the top of the pile to the bottom of the hole = ?

Since the dirt is beside the hole and not inside the hole, we can find it's length using addition.

Distance from the top to the bottom = length of dirt + length of the hole

Length of dirt = 8×¾ = 6 inches

Length of the hole = 16 × ½ = 8 inches

Distance from the top of the dirt to the bottom of the hole = (6 + 8) inches

Distance from the top of the dirt to the bottom of the hole = 14 inches

Note: the only way we can use subtraction here is if the hole was filled with dirt, what's the distance that's left

Distance left = length of hole - length of dirt

Distance left = 8 - 6 = 2 inches .

Two towns that are 5 inches apart on this map are how many actual miles apart?

Answers

1 inch equals 24 miles

5 • 24 = 120

120 miles apart

Answer:

12*10=120

Step-by-step explanation:

All of the following devices are used in the second paragraph EXCEPT A. metaphor B. parallelism C. allusion D. abstract terms E. chiasmus

Answers

Answer:

a. Metaphor

Step-by-step explanation:

Which number is IRRATIONAL?
A)
V
B)
V16
32
D)
164

Answers

the answer is c because it is a decimal

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