Create a list of steps, in order, that will solve the following equation.

3(x+2)^2=48

Answers

Answer 1

Answer:

x= 2 and x= -6

Step-by-step explanation:

3(x+2)^2=48

1)   [3(x+2)^2]/3=48/3

2) (x+2)^2 = 16

3) √(x+2)^2 =+/-√16

4) x+2 = 4   and    x+2 = -4

5) x=2          and   x= - 6

Check:

3(x+2)^2=48

3(2+2)^2 = 48           and        3(-6+2)^2=48

48 = 48                                   48=48


Related Questions

In ΔNOP, the measure of ∠P=90°, OP = 31 feet, and NO = 39 feet. Find the measure of ∠N to the nearest tenth of a degree

Answers

Answer:

52.6

Step-by-step explanation:

If you drew the triangle correctly, NO would be the hypotenuse (39), PO would be a leg of the triangle(31) and the other leg NP is unknown (we dont need to care about that too much).  To find angle N, we can use trig.  We can use sin to figure this out since we are given a side opposite to angle N and we are given the hypotenuse.  (sin=opposite/hypotenuse).  However, since we are trying to figure out the angle, we have to use arc sin or [tex]sin^{-1}[/tex] on the calculator.  So if we type [tex]sin^{-1}[/tex](31/39), we get 52.6

I can explain more if you dont understand

Answer:

23

Step-by-step explanation:

Help please help please I’m begging you

Answers

Answer:

A = 143 cm^2

Step-by-step explanation:

The area of a rectangle is found by

A = b*h  where b is the base and h is the height

A = 11 *13

A = 143 cm^2

Answer:

11x13

143

Step-by-step explanation:

determine the inverse of the function. (show work please)

Answers

Answer:

This is easy -- it's just a list of steps.  At this level, the problems are pretty simple.

Let's just do one, then I'll write out the list of steps for you.

Find the inverse of f( x ) = -( 1 / 3 )x + 1

STEP 1:  Stick a "y" in for the "f(x)" guy:

y = -( 1 / 3 )x + 1

STEP 2:  Switch the x and y

                   ( because every (x, y) has a (y, x) partner! ):

x = -( 1 / 3 )y + 1

STEP 3:  Solve for y:

x = -( 1 / 3 )y + 1 ... multiply by 3 to ditch the fraction ... 3x = -y + 3 ... ditch the +3 ... subtract 3 from both sides ... 3x - 3 = -y ... multiply by -1 ... -3x + 3 = y ... y = -3x + 3

STEP 4:  Stick in the inverse notation, f^( -1 )( x )

f^( -1 )( x ) = -3x + 3

Step-by-step explanation:

Stephen opened a savings account with $100. He deposits $ 20 every time he mows a lawn during the summer. He wants at least $400 in his
account by the end of the summer Leten be the number of lawns Stephen mows.
which inequality can be used to determine the number of lawns Stephen needs to mow?
A 100 + 20 < 400
B 100n + 20 S 400
C 100+ 20n > 400
D. 100 + 200 2400

Answers

Answer:

c

Step-by-step explanation:

Which is the answer?

Answers

Answer:

c

Step-by-step explanation:

They are congruent by ASA because the problem already tells you one side is equal, and also says that the opposite sides are parallel. Therfore, teh opposite interior angles are equal and you can take the vertical angles, leading to ASA.

Answer:

ASA

Step-by-step explanation:

They are congruent by ASA because the problem already tells you one side is equal, and also says that the opposite sides are parallel. Therfore, teh opposite interior angles are equal and you can take the vertical angles, leading to ASA.

Hope this is helpful!

What is the probability of spinning red on the image shown?


Answers

Answer:

37.5%

Step-by-step explanation:

Red is 3/8 so you convert that into a percentage.

4sqrt 7^3 in exponential form?

Answers

Answer:

7 3/4

Step-by-step explanation:

Which of the following questions describes the equation g + (-4) = -5? help

Answers

Answer:

Write equations of quadratic functions given the vertex and another point on the graph, ... You can do all of your homework online with built-in examples and ... For additional support when ... drops an orange into the river below from a height of 40 ft. ... y = 135 - x2 gives the area (in square feet) of the wall ... In addition to.

Step-by-step explanation:

Answer:

What number when added to negative four equals negative 5

Step-by-step explanation:

Just say thanks

Your grandmother has given you $200 for your birthday! You decide to
use that money and start saving to buy a used car. The car costs $6500,
and you know that you can save $350 each month. How many months will
you need to save so that you can buy this car? (Don't forget you already
have $200 from your grandma) *

Answers

Answer:

18

Step-by-step explanation:

6500= 200+ 350x

x=18

Answer:

id say eighteen

Step-by-step explanation:

PLEAS HELP

At a car dealership, the sales records of weekdays and weekends were examined. Ten of the days examined were weekdays and 10 of them were weekend days. The following statistical information was calculated from the number of sales made during weekdays and weekends.

Weekday
Sales Weekend
Sales
Mean 15 18
Median 13 19
Mode 14 21
Range 10 13

Based on these samples, what generalization can be made?
A.
Not enough information is provided to draw any of these conclusions.

B.
More cars were sold on the weekdays than on the weekends.

C.
The same number of cars were sold on the weekends as on the weekdays.

D.
Less cars were sold on the weekdays than on the weekends.

Answers

Answer:

I believe it to be D

Step-by-step explanation:

What is the median of the following numbers: 120, 35, 42, 119, 120.5, 99, 72 ? *

Answers

Answer:

the median is 99

Step-by-step explanation:

(lowest) 35, 42, 72, 99, 119, 120, 120.5 (highest)

the median is the middle #

the middle # is 99

For the given circle, find the value of x

Answers

Answer:

230

Step-by-step explanation:

the angle 115 is half of that arc

22 .Siswa dapat menganalisis persamaan menggunakan identitas trigonometri
a) cot x.cos x per cosec x
b) cos pangkat 4 x - sin pangkat 4 x​

Answers

It best you ask your teacher

What do the stage directions at the end of the excerpt indicate?

Answers

Answer:

The stage direction at the end of an excerpt are used to provide information about how the characters should move or speak on stage.

Answer:

The stage direction at the end of an excerpt are used to provide information about how the characters should move or speak on stage.

Step-by-step explanation:

Percentages less than 100% definition

Answers

Answer:

fractions

Step-by-step explanation:

Answer:

A number or ratio expressed as a fraction of 100

Step-by-step explanation:

Use outside of percentages but reused under 100 when explained.

Steepness of a hill or gradient of a line =   rise/run x 100

On a graph the numbers go from 0 for flat, to 100% at 45 degrees, to infinity as it approaches vertical.

Percentage is Tangent of a circle as where it meets it angle it always is intercepted by the circumference or new angle and becomes less than 180 as it forms a leg of a shape, or a side and 1% represents 100 x 0.01000033334% in Radians as another example. we multiply by 100 and get 1 Rad or a 180 degree line.  Broadness of usefulness in percentage is the ratio so 1% of a radian can be the decimal above, and 100% of 1 rad = 180/pi =57.2957 We find a semi-circle has an arc length of pi*r and also that it is 180 degrees. From that you can conclude that the number of degrees in a radian is 180/pi and shows 50% of the circle but 100% of 1 radian.

True or False.
A dilated image is similar to the pre-image.

Answers

Answer:

True

Step-by-step explanation:

Because they have the same shape but not the same size so they are similar and not same

anybody
help
me
plz give the
right
answer
thx

Answers

Answer:

39 degrees

Step-by-step explanation:

It is assumed given the triangle that angles CBD and ABD are complementary angles since the triangle is a right triangle. Thus, 90-51=39, and therefore angle ABD must be measured 39 degrees.

Can 0.8 be the probability of an outcome in a sample space
Yes or no

Answers

Answer:Yes

Step-by-step explanation:

will mark brainliest

jeffs water bill includes a base charge of 12$ plus a charge of 1.50$ for each 1000 gallons of water used. jeffs water bill is 28.50$
how many gallons of water did jeff use?

Answers

Answer:

11,000 gallons

Step-by-step explanation:

Jeffs water bill = 28.50

Charge for water used = 28.50 - 12 = 16.50

Therefore number of gallons used = 16.50/1.50 x 1000 = 11,000 gallons

Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.

7x-y=7
x+2y=6

Answers

Answer:

x = 4 / 3, y = 7 / 3

Step-by-step explanation:

We are given the following system of equations;

{ 7x - y = 7,      ⇒        Let us multiply the first equation by 2,

x + 2y = 6 }

2 * ( 7x - y = 7 )  ⇒  14x - 2y = 14  ⇒  Now add the two equations

+ x + 2y = 6           + x  + 2y = 6                          

14x + x = 14 + 6 ⇒ Simplify

15x = 20,

x = 4 / 3 ⇒ Now substitute this value of x into the first equation to solve for the value of y,

7 * ( 4 / 3 ) - y = 7 ⇒ Simplify,

28 / 3 - y = 7,

y = 7 / 3

Solution; x = 4 / 3, y = 7 / 3

The sum of three mixed numbers is 20 17/30
Two of the numbers are 6 1/3 and 8 5/6
What is the third number?

Answers

Answer:

Step-by-step explanation:

6 1/3 plus 8 5/6 is 15 1/6

20 17/30 minus 15 1/6= 5.4 or 5 2/5

... since the last war, some mitigation of slavery has been
obtained in some respective districts of America, though
not in proportion to their own vaunted claims of
freedom; but it is to be hoped, that they will yet go to
make a further and greater reformation.
- Thoughts and Sentiments on the Evil and
Wicked Traffic of the Slavery and Commerce of
the Human Species,
Quobna Ottobah Cugoano
What inference about Cugoano's beliefs is most
supported by the passage?
Cugoano believes that America is a perfect
example of freedom.
Cugoano believes that America is not living up to its
claims of freedom.
Cugoano believes that America will never abolish
slavery

Answers

Answer:

Cugoano believes that America is not living up to its

claims of freedom.

Step-by-step explanation:

Answer:

B

the answer before must of confused yalls pretty little heads poor babies

Please help
Find the unknown radius of the circle. A measures 628 sq cm find r ​

Answers

Answer:

14.14 cm

Step-by-step explanation:

The formula for the area of a circle is : [tex]\pi *radius^2[/tex]

In order to find the radius you would first have to divide the area of 628 by pi, this gives you 200. This is because by dividing the area by pi it will leave us with the radius squared.

The next step is to find the square root of 200, this gives us 14.14. This is because by finding the square root it will leave us with the radius. The square root is another number that when multiplied by itself equals the number.

1) Divide 628 by pi.

[tex]628/\pi =200[/tex]

2) Find the square root of 200.

[tex]\sqrt{200}=14.14[/tex]

Pi as in 3.14

Complete the inequality statement.2/7_____5/14
A.<
B.>
C.=

Answers

Answer:

2/7<5/14

Step-by-step explanation:

2/7=0.28

5/14= 0.35

0.28<0.35

what's equation of the best fit for the graph ​

Answers

Answer:

y=2x+1

Step-by-step explanation:

sketch it with each line answer choice and look at which one is closest to all the points.

Help me with this please

Answers

Answer: 1/8

Step-by-step explanation: there is 2 red and it says how many times can it spin on red twice 2/8

Give me brainly pls trust me 100% correct I’ve learned this already

Answer:

1/8

Step-by-step explanation:

rewrite the equation of the circle (x-2)^2+y^2=3 in general form

Answers

Step-by-step explanation:

x²+4-4x+y²=3

x²+y²-4x+1=0

Answer:

?? Bro write the question better

Step-by-step explanation:

WILL MARK BRAINLIEST:
Hello! So I need to know HOW to do this. Please don't do the work for me, I just need an explanation. thank you!

Answers

Answer:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

Answer:

as the other guy said, scientific notation in simple words is expressing large quantities in terms of being multiplied with powers of 10

hence,

11. 7.5 x 10^6

12. 2.9 x 10^5

13. 3.7 x 10^(-4)

14. 1.26 x 10^4

15. 2 x 10^(-7)

16. 4 x 10^(-3)

17.6 x 10^7

18. 4.07 x 10^7

19. 8.1 x 10^(-4)

20. 1.25 x 10^(4)

Part A The dot plot shows the daily lunch money of a group of students. ​Each dot represents one student. ​ ​ ​What is the mean daily pocket money? A $1.50 B $2.00 C $2.15 D $2.20 ​ ​Part B What is the mode of the daily pocket money? ​ Answer:

Answers

Answer:

Mean= $ 1.96

Mode= No mode

Step-by-step explanation:

Mean is the value obtained by dividing the sum of all the observations by their numbers.

Mean is obtained by dividing the total number of the values with the number of values.

Mean= x1+ x2+ x3 + x4/ 4

Mean = $ 1.5 + $ 2.0 + $ 2.15 + $ 2.20/4=  7.85/4=  1.9625or 1.963 or $ 1.96

Mode is the most frequent occurring value in a data set. But since all the values in the given set occur only once the data does not have any mode .

There is no mode because  every value has the same frequency, that is it occurs the same number of times.

Please help and explain. :)

Answers

a. Okay, so you multiply the 4.7 and 2.9 together, and then add the exponents

13.63 * 10^10

But we are not done. There can only be one digit in front of the decimal point. So, you move the 13.63 back one place so 1.363. But we have to do this to both sides, so the answer is 1.363 * 10^11.

b. Now you divide the 5.8 and 2, and subtract the exponents.

2.9 * 10^-5

The negative exponent is fine in this case if you were wondering.

c. Expand the scientific notation to 1500, then add the 2491 and then put that in scientific notation is what I would do. You can also express 2491 in scientific notation and add them. Either way you will get 3.991 * 10^3

d. Same thing here except with subtraction. The answer is 6.5 * 10^-4.

This was a little long, sorry. Let me know if you need further explanation. I hope this helps.

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