What are the solutions to the quadratic equation 3(x - 4)2 = 75?
O x= -9 and x = 1
x= -5 and x = 5
O x = -4 and x = 4
Ox= -1 and x = 9
OOO

What Are The Solutions To The Quadratic Equation 3(x - 4)2 = 75?O X= -9 And X = 1x= -5 And X = 5O X =

Answers

Answer 1

Answer:

x = -1 and x = 9

Step-by-step explanation:

3(x-4)^2 = 75

(x-4)^2 = 75/3 = 25

(x-4)=[tex]\sqrt25[/tex]

(x-4)= 5   or (x-4)=-5

x=9 or x= -1

Answer 2

Final answer:

To solve the quadratic equation 3(x - 4)^2 = 75, we isolate the squared term, take the square root of both sides, and solve for x, which gives us the solutions x = -1 and x = 9.

Explanation:

The equation given is 3(x - 4)2 = 75. To solve for x, follow these steps:

Divide both sides of the equation by 3 to isolate the squared term: (x - 4)2 = 25.Take the square root of both sides of the equation to remove the exponent: x - 4 = ±5.Add 4 to both sides of the equation to solve for x: x = 4 ± 5.

So, the solutions to the equation are x = -1 and x = 9.


Related Questions

What is the surface area, in square centimeters, of the rectangular prism below?

Answers

Answer: A. 724

Step-by-step explanation:

which two features are present in a plant cell but not in an animal cell

Answers

Answer:

The two features present in a plant cell, but not in an animal cell are chloroplasts and a large central vacuole.

Step-by-step explanation:

The two features which are structures found in plant cells but are not present in animal cells are:

Cell WallChloroplast

There are features that differentiates a plant cell from an animal cell. Two of such features that are unique to plant cells are:

Cell Wall: This gives the firmness, strength and protects the plant.Chloroplast: This contains chlorophyll which aids photosynthesis in plants.

These two plant cell features or structures are absent in an animal cell.

A plant cell and its various organelles/structure is shown in the image attached below.

Therefore, the two features which are structures found in plant cells but are not present in animal cells are:

Cell WallChloroplast

Learn more here:

https://brainly.com/question/17667197

Convert the unit of capacity.


2 qt 1 cup = ___ fl oz


A.

40


B.

72


C.

80


D.

136

Answers

Answer: 72 US FLUID OUNCES

Answer:

The answer is B i think

Hope this helps :D

¯\_(ツ)_/¯                                   ☜(゚ヮ゚☜)

Help pls???!??!?!?!!?

Answers

Answer:

height = 6 cm

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex]πr²h ( r is the radius and h the height )

Here V = 100.48 and r = 4, thus

[tex]\frac{1}{3}[/tex]π × 4²h = 100.48

Multiply both sides by 3 to clear the fraction

3.14 × 16h = 301.44 ( divide both sides by 3.14 × 16 )

h = [tex]\frac{301,44}{3.14(16)}[/tex] = 6 cm

Find the volume of the large solid without the smaller solid. The solid is a right solid and is not drawn to scale. Round answers to the tenths place.
A rectangular prism has length 12.4 meters, height 9 meters, and width 7.8 meters. A smaller rectangular prism inside the larger prism has length 3 meters, width 1.8 meters, and height 9 meters.
a.
870.5 cube meters
c.
48.6 cube meters
b.
821.9 cube meters
d.
919.0 cube meters

Answers

Answer: 821.9 cube meters

Step-by-step explanation:

Hi, to answer this question we have to calculate both rectangular prisms volume:

Volume: Length x width x height

Replacing with the values given:

Large solid volume = 12.4 x 7.8 x9 =870.48 cubic meters

Small solid volume = 3 x 1.8 x 9 =48.6 cubic meters

Next, we have to subtract the smaller solid's volume to the large solid’s volume .

870.48-48.6 = 821.88 = 821.9 cubic meters

Feel free to ask for more if needed or if you did not understand something.

Answer:

the answer is b

Step-by-step explanation:

what metric unit you would use to measure the weigh of a teaspoon of flour

Answers

i think the answer is ounces

The graph represents the normal distribution of recorded weights, in pounds, of cats at a veterinary clinic.

A graph shows the horizontal axis numbered 7.5 to x. The vertical axis is unnumbered. The graph shows an upward trend from 8 to 9.5 then a downward trend from 9.5 to 11.

Which weights are within 2 standard deviations of the mean? Select three options.

8.4 lbs
8.9 lbs
9.5 lbs
10.4 lbs
10.9 lbs

Answers

Please consider the graph.

We have been given that graph represents the normal distribution of recorded weights, in pounds, of cats at a veterinary clinic.  We are asked to choose the weights, which are within 2 standard deviations of the mean.

We can see from our graph that mean of the weights is 9.5 and standard deviation in 0.5.

The data point that would be below two standard deviation is: [tex]9.5-2\times 0.5[/tex] that is [tex]9.5-1=8.5[/tex].

The data point that would be above two standard deviation is: [tex]9.5+2\times 0.5[/tex] that is [tex]9.5+1=10.5[/tex].

Now we need to check the data points that lie within 8.5 and 10.5.

Upon looking at our given choices, we can see that 8.9, 9.5 and 10.4 pounds lie within 2 standard deviation of the mean.

Therefore, 8.9 lbs, 9.5 lbs and 10.4 lbs are correct choices.

Answer:

8.9, 9.5, 10.4

Step-by-step explanation:

got it right on ed2020

What’s the area of this figure?

Answers

Answer:

13 sq cm.

Step-by-step explanation:

To find the area of this irregular figure, we will need to find the areas of a rectangle and triangle within this figure.

To find the area of the rectangle, we can simply do:

1 × 4= 4  sq cm.

Now, this is where it gets a little trickier. To find the area of the triangle, we will first need to determine the base and height.

We can see from the diagram that to find the base, we need to subtract:

7-4= 3 cm. This is the base of ONLY the triangle.

To find the height, we will need to do:

5+1= 6 cm. This is the total height of the entirety of the triangle.

We can now use the Triangle Area formula: [tex]\frac{1}{2}[/tex](bh), to calculate the area of the triangle.

[tex]\frac{1}{2}[/tex] (6*3)= 9 sq cm.

Finally, add the areas of the rectangle and triangle together, giving you:

9+4= 13 sq cm.

The mass of the sphere is 800 lbs. Find the density of the sphere to the nearest tenth.

answer choices

7.8 lbs/ft3

21.2 lbs/ft3

28.3 lbs/ft3

7.1 lbs/ft3

Answers

Answer:

7.1 lbs / ft^3

Step-by-step explanation:

In this question, we are asked to calculate the density of the sphere in the diagram.

Firstly, to calculate the density , we apply a mathematical formula.

Mathematically, density = mass/volume

We have the mass already from the question but we will need to calculate what the volume is.

Mathematically, the volume of a sphere = 4/3 * pi * r^3

From the diagram, we can see that the radius of the sphere is 3 ft. Plugging this into the equation of the volume of a sphere, we have;

4/3 * 22/7 * 3^3

= 4/3 * 22/7 * 27

= 113.143 ft^3

Now, we substitute the volume into the density equation;

Recall, density = mass/volume

From the question, our mass is 800 lbs and from calculations, volume is 113.143 ft^3

Density = 800 lbs/ 113.143 ft^3 = 7.07 lbs/ ft^3 which is approximately 7.1 lbs/ ft^3

What is the correct meaning of the word commit?
Ana will commit ten hours to volunteering each week
attempt
pledge
achieve
supervise

Answers

Answer:promising

Step-by-step explanation:commit is a commitment its where you basicly kinda promise to do it and not turn your back on it

Answer:

The answer is pledge.

Step-by-step explanation:

there are 24 flower in a bunch 15 of the flowers are tulips, 8 of the flowers are pink, 5 of the flowers are pink tulips... draw a Venn diagram to show this information.

Answers

is there a picture of the problem?

Porcentagem No dia 15/05/2020 as 18h e 40min o G1 divulgou que a Paraíba tem 3.739 casos confirmados e 170 mortes por coronavírus. Qual a porcentagem de mortos no Estado da Paraíba em relação a quantidade de casos confirmados ?

Answers

Answer:

The percentage of deaths in relation to the number of cases is 4.55%.

Step-by-step explanation:

The proportion of deaths is the number of deaths divided by the number of cases(Proporção de mortes é o numero de morte dividido pelo de casos).

The percentage is the proportion multiplied by 100.

In this question:

3739 cases, 170 deaths

170/3739 = 0.0455

0.0455*100 = 4.55%

The percentage of deaths in relation to the number of cases is 4.55%.

I NEED HELP PLEASE!!!!

Answers

Answer: the answer is 13

Step-by-step explanation:

Mean means to find the average so add them all and divide by 4.

The graph of a logarithmic function is shown below.

On a coordinate plane, a curve starts in quadrant 3 and curves up into the first quadrant. The curve starts at (negative 2, negative 2) and approaches y = 2 in quadrant 1.

What is the domain of the function?
x > –2
x > 0
x < 2
all real numbers

Answers

Answer:

A = x > -2

Step-by-step explanation:

Got it right

Answer:

A = x > -2

Step-by-step explanation:

How many meters are in 7.2 kilometers ?

Answers

7200 meters are in 7.2 kilometers

Answer:

7200 meters

Step-by-step explanation:

Is c=4 a solution of the equation 50= 6c

Answers

Answer:

no

Step-by-step explanation:

50 = 6c

Substitute the value in for c and see if the equation is true

50 = 6*4

50 = 24

This is not true so c=4 is not a solution

Answer: 8 and 1/3

Step-by-step explanation:

6 times 8 equal 48

6 times 1/3 equal 2

48 plus 2 equal 50

I need help on this question please ^^^

Answers

Answer:

1

Step-by-step explanation:

Answer:

1. 2^7

2. 2^6

3. 2^3

4. 2^8

Step-by-step explanation:

its how exponents work

just remember that youre not multiplying 2 by the exponent (for example 2 x 7 is incorrect) youre multiplying 2x2 7 times

Please mark as brainliest :)

The five posters made for spirit week are being hung in the front hall. What is the probability the largest poster will be in the center in the next largest will be on its left?

Answers

Answer:

1/20 or 0.05

Step-by-step explanation:

Assuming that all five posters are different, the number of ways to randomly place those posters is given by:

[tex]N=5*4*3*2*1 = 120\ ways[/tex]

If we want the largest to be in the center and the next largest to be on its left, two poster will have a set position and only three could be randomized:

[tex]n=3*2*1*1*1=6\ ways[/tex]

Therefore, the probability is:

[tex]P=\frac{n}{N}=\frac{6}{120} =\frac{1}{20} =0.05[/tex]

The probability is 1/20 or 0.05.

What is the value of x in the equation shown below?
x^3−5=59

Answers

Answer: This is an easy one, its either 21, 21 and a half, or 22, if not than its at least in the 20s.

Step-by-step explanation:

Help really need answer. Thanks


George is reading a book that is 420 pages long. He reads 45 pages on the first day. He will read the remaining pages in the book in 15 more days. During that time he will read an equal number of pages each day. How many pages will he read each day?
A.7
B.25
C.28
D.31

Answers

Answer:

The answer is 28

Step-by-step explanation:

28×15=420 pages

Marta wants to go to college, but she's concerned about the cost. Which option would you recommend?
A
taking out a private loan and attending a state college

B
taking out a private loan and attending a private college

C
taking out a federal loan and attending a state college

D
taking out a federal loan and attending a private college

Answers

Answer:

A

Step-by-step explanation:

The option that would be recommended is C. taking out a federal loan and attending a state college.

From the information given, it was stated that Marta wants to go to college, but she's concerned about the cost.

Based on the information, it's important to choose an affordable option for her. Therefore, the best option that will be recommended will be taking out a federal loan and attending a state college since it's cheaper.

Learn more about loans on:

https://brainly.com/question/25696681

Find the distance between (0,10) and (12,1)

A. 12
B. 11
C. 15
D. 16

Answers

9514 1404 393

Answer:

  C.  15

Step-by-step explanation:

The distance formula can be used for this.

  d = √((x2 -x1)² +(y2 -y1)²) = √((12 -0)² +(1 -10)²) = √(144 +81) = √225

  d = 15

The distance between the points is 15 units.

_____

Alternate solution

You may recognize that the slope of the line is -3/4, suggesting that this is some multiple of a 3-4-5 right triangle. That multiple is 9/3 = 12/4 = 3, so the hypotenuse of the triangle is 5×3 = 15 units.

Final answer:

The distance between the points (0,10) and (12,1) is 15 units.

Explanation:

The distance between the points (0,10) and (12,1) can be found using the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the given coordinates, the calculation becomes:

d = sqrt((12 - 0)^2 + (1 - 10)^2)

d = sqrt(12^2 + (-9)^2)

d = sqrt(144 + 81)

d = sqrt(225)

d = 15

Therefore, the distance between the two points is 15 units.

The height of a tree increases by 60% each year. When planted the tree was 40cm tall.
How tall will the tree be in 5 years time.

Answers

Answer:

Step-by-step explanation:

divide 60% divided by 40 and then X five

Factor this polynomial: x^2 + 6x + 9
(x+3)(x+3)
(x-3) (x-3)
(x-3) (x+3)
(x+3) (x-3)

Answers

Answer:

(x+3)(x+3)

Step-by-step explanation:

1) this polynomial is in the form of ax^2+bx+c

c=9

b=6

a=1

what*what=c(9)

and what+what=b(6)

3 is the answer to both questions:

now substitute "3x" in place of "6"

x^2+3x+3x+9

split in 2 groups:

group a) (x^2+3x)

gcf of group a=x

x(x+3)

group b) (3x+9)

gcf of group b=3

3(x+3)

combine the numbers OUTSIDE the parantheses

so

(x+3)(x+3)

Answer:

(x+3)(x+3)

Step-by-step explanation:

WHAT IS THE RIGHT ANSWER I WIL GIVE YOU BRAINLIEST IF IT IS CORRECT
V = (3) squared (14)
V = pi (6) squared (14)
V = pi (3) squared (14)
V = pi (14) squared (6)

Answers

Answer: Choice C.  V = pi (3) squared (14)

same as V = pi*3^2*14

========================================================

Work Shown:

V = volume of cylinder

V = (area of circular base)*(height)

V = (pi*r^2)*(h)

V = pi*r^2*h

V = pi*3^2*14 ..... radius 3 is half of diameter 6

We write "3^2" as a shorthand way of saying "3 squared" or "(3) squared".

Which expressions are equivalent to 12x - 6? Select all that apply.
6(2x-1)
-6(2x+1)
-6(2x-1)
-6x(2x-1)
6x(2-1)

Answers

Step-by-step explanation:

12x - 6

-12x - 6

-12x + 6

-12x2 + 6x

12x - 6

Option A and E are the correct answer

The only expression equivalent to 12x - 6 is 6(2x-1). Hence first option is correct.

The question asks which expressions are equivalent to 12x - 6. Let's evaluate each given option:

6(2x-1): Distributing the 6 gives 12x - 6, which is equivalent to the original expression.

-6(2x+1): Distributing the -6 gives -12x - 6, which is not equivalent to the original expression.

-6(2x-1): Distributing the -6 gives -12x + 6, which is not equivalent to the original expression.

-6x(2x-1): This expression cannot be simplified to the form of a single term in x and a constant; thus, it's not equivalent.

6x(2-1): Simplifying inside the parentheses first gives 6x, which is not equivalent to the original expression.

Therefore, the only expression equivalent to 12x - 6 is 6(2x-1).

Which equivalent four-term polynomial can be created using the X method?
x2 + 8x + 8x + 48
x2 – 12x – 4x + 48
x2 + 12x + 4x + 48
x2 – 8x – 8x + 48

Answers

Answer:

X2+ 12x+4x+48

Step-by-step explanation:

Answer:

C) x2 + 12x + 4x + 48

Please HURRY Explain how to use guess and check reasoning to solve
for the unknown number.
The quotient of a number and seven is nine
I​

Answers

Answer:

Step-by-step explanation:

This translates immediately into n/7 = 9.  We can isolate (find) n by multiplying both sides of this equation by 7, obtaining n = 63.

Or we could guess and check:  if the quotient is 9, we could round that up to 10, obtaining n/7 = 10, or n = approximately 70.

Answer:

Sample Answer: Quotient means the result of division. To use guess and check to solve, you would divide different numbers by 7 until you get 9. The result is 63 ÷ 7 = 9. The quotient of sixty-three and seven is nine.

Step-by-step explanation:

My Answer: Guess and check means you guess different numbers until you get the correct answer. For example, let’s start with the number 60. You will get a decimal if you do that problem, so that’s no the answer. Then you keep guessing. The correct answer is 63. 63 divided by 7 is 9.

Do these rates form a proportion? Defend your answer.
66 songs: 6 hours
22 songs: 2 hours

Answers

Answer:

They form a proportion

Step-by-step explanation:

Take 66 songs and divide by 6 hours

66/6 = 11 songs per hour

Take 22 songs and divide by 2 hours

22/2 = 11 songs per hour

The rates are the same so they a proportional

Final answer:

The rates 66 songs in 6 hours and 22 songs in 2 hours do form a proportion, as both simplify to the same ratio of 11 songs per hour, indicating a consistent linear relationship between the number of songs and listening time.

Explanation:

The question asks if the rates of 66 songs in 6 hours and 22 songs in 2 hours form a proportion. To determine this, we check if the ratios are equivalent. The ratio for the first rate is 66 songs per 6 hours, which simplifies to 11 songs per hour (since 66 ÷ 6 = 11). The ratio for the second rate is 22 songs per 2 hours, which simplifies to 11 songs per hour (since 22 ÷ 2 = 11). Since both rates simplify to the same unit rate of 11 songs per hour, they indeed form a proportion. This shows that the rate at which songs are experienced is consistent across both periods, essentially indicating that the number of songs listened to scales linearly with the time spent listening.

A spinner has red, green, blue and orange sections. The probability of landing on red is 2/3,on green 1/12, on blue is 1/12. What is the probability of landing on orange.

Answers

Answer: P(landing on orange)=1 - [2/3 + 1/12 + 1/12]

so =1/6

The probability of landing on orange is 1/6.

What is Probability ?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.

The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Probability Formula = f/n

where,

f is the number of times an event occurs

n is the total number of trials

It is given that

The probability of landing on red is 2/3, on green 1/12, on blue is 1/12.

The probability of happening a event is P , then Probability of not happening is 1-P

the probability of landing on orange

= 1- { (2/3) +(1/12)+(1/12)}

=1/6

Therefore the probability of landing on orange is 1/6.

To know more about Probability

https://brainly.com/question/11234923

#SPJ2

Other Questions
Which statement BEST describes how mutations are related to evolution?There is not a strong relationship between mutations and evolutionNatural selection causes evolution, which causes more mutations to appearin the DNA of the species.Mutations are changes in DNA that produce weaker organisms that die, sothese are eliminated by evolution.Mutations lead to new genes, which may have an advantage over the oldforms, causing the species to evolve How are transition metals named in metal compounds? White (W) hair in goats is caused by the dominant gene while black (w) hair is recessive. Aheterozygous white male is crossed with another heterozygous white female. What are thegenotypic and phenotypic ratios of their offspring? Estimate the length. Then use cubes to measure during the rule if Mao Zendong which group was knowen for breaking into the homes of people the concudered influential and destroying artworks, antiquities, and genealogical records?A. The red GuardsB. The cultural revolution groupC. The five man group. D. The Gang of Four Read the passage. What is the claim?Exercise and diet help people lose more weight than with the aid of this drug.This drug helps people lose more weight than diet and exercise alone.Overweight adults have always had high blood pressure.This drug wont help people lower their blood pressure if they already exercise. A square of side length 7 cm is enlarged using the scale factor 6. Find the area of the enlarged square. Every week, Josie must take an inventory of the supply closet. This usually takes several hours to complete. Which of the following is the best way for Josie to decrease the time it takes her to complete this task ? A.Complete an inventory count every day instead of once per week . B.Instead of having to count each individual item , she should simply estimate how many there are of each type of item . C. Organize the supplies into stacks of 10 , so she can quickly count stacks of supplies instead of having to count single units . D.She should count a few items every day instead of trying to count everything at the end of the week .????? What is the value of s3 when: (infinite geometric series) 11. Which of the following statements might be a universal theme? *5 pointsThere is a fine line between love and hate.Lions are meat eaters.Cheryl was disappointed.We had fun hanging out with our friends. The highest value of total cost was $ 710 comma 000 in June for Horchata Beverages, Inc. Its lowest value of total cost was $ 550 comma 000 in December. The company makes a single product. The production volume in June and December were 13 comma 000 and 5 comma 000 units, respectively. What is the fixed cost per month? (Round any intermediate calculations to the nearest cent, and your final answer to the nearest dollar.) A. $ 450 comma 000 B. $ 5 comma 000 C. $ 160 comma 000 D. $ 550 comma 000 Read the following poem by Edgar Allen Poe and answer the question that follows.A Dream Within a DreamTake this kiss upon the brow!And, in parting from you now,Thus much let me avowYou are not wrong, who deemThat my days have been a dream:Yet if hope has flown awayIn a night, or in a day,In a vision or in none,Is it therefore the less gone?All that we see or seemIs but a dream within a dream.I stand amid the roarOf a surf-tormented shore,And I hold within my handGrains of the golden sandHow few! yet how they creepThrough my fingers to the deepWhile I weepwhile I weep!O God! can I not graspThem with a tighter clasp?O God! can I not saveOne from the pitiless wave?Is all that we see or seemBut a dream within a dream?Which of the following best describes what the poem is about?loss of hope and lack of controlthe phenomenon of beach erosionloss and depressionnightmares and dreams __ allows children to describe their observations by comparing items why are electrical outputs from a turbine generator highest during spring tide en que sentido es posible afirmar que la biotica tiene un potencial democratizante? Explain when the median of a data set is a bettermeasure of center than the mean. Which text best completes the sentence?Audrey's parents share the household chores. Her father likes grocery shopping ______.1) more than her mother 2)more than her mother does3)more than anything If the endpoints AB of have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of ? AB please help. find the missing side Iqbal Novel. How has the atmosphere inside the factory changed? Has the attitude of the slave changed? Steam Workshop Downloader