Solve for x. Enter the solutions from least to greatest.
(x + 7)^2 - 49 = 0

Answers

Answer 1

Answer:

x = -14, 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Completing the SquareMultiple Roots/Solutions

Step-by-step explanation:

Step 1: Define

(x + 7)² - 49 = 0

Step 2: Solve for x

Add 49 to both sides:                    (x + 7)² = 49Square root both sides:                 x + 7 = ±7Subtract 7 on both sides:               x = -7 ± 7Evaluate:                                         x = -14, 0

Step 3: Check

Plug in x values into original equation to verify they are a solution.

x = -14

Substitute in x:                    (-14 + 7)² - 49 = 0Add:                                     (-7)² - 49 = 0Exponents:                          49 - 49 = 0Subtract:                              0 = 0

Here we see that 0 does indeed equal 0.

∴ x = -14 is a solution of the equation

x = 0

Substitute in x:                    (0 + 7)² - 49 = 0Add:                                     7² - 49 = 0Exponents:                          49 - 49 = 0Subtract:                              0 = 0

Here we see that 0 does indeed equal 0.

∴ x = 0 is also a solution of the equation.

Answer 2

Answer:

Lesser x=-14 Greater x=0

Step-by-step explanation:

x+7)  

2

−49

(x+7)  

2

 

(x+7)  

2

 

​  

 

​  

 

=0

=49

=  

49

​  

 

​  

 

Hint #22 / 3

\begin{aligned} x+7&=\pm7 \\\\ x&=\pm7-7 \\ \phantom{(x + 7)^2 - 49}& \\ x=-14&\text{ or }x=0 \end{aligned}  

x+7

x

(x+7)  

2

−49

x=−14

​  

 

=±7

=±7−7

or x=0

​  


Related Questions

I really need help!
Write the equation of the line with the given slope which passes through the given point.Please show work.
m = 3 (2, -3)

Answers

It might be 4 sorry if I’m wrong

PLS HELP I ONLY HAVE 30 MINS

Question 5 (4 points)
(04.02)

Determine whether the graph represents a proportional relationship. (4 points)

A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 3 and 2, 6 and 3, 7. These points are joined by a line. The label on the x-axis is Number of pans. The title on the y-axis is Number of cakes.

a
Yes, it is a proportional relationship because the graph goes through the origin

b
Yes, it is a proportional relationship because the graph is a straight line

c
No, it is not a proportional relationship because the graph is not a straight line

d
No, it is not a proportional relationship because the graph does not go through the origin

Answers

Answer:

C. It is not proportional because it is not a straight line.

Step-by-step explanation:

You can check to see if it is a straight line by setting up a table and ensuring that the values increase by the same amount every ordered pair.

------> The Answer Is C <------

Hope this helps have a good day :D

(03.06a LC) How many solutions does the equation 4x + 8 = -2 - 2 + 5x have? (5 points)
Two
One
None
Infinitely many

Answers

Answer:

1 x=12

Step-by-step explanation:

combine -2 ans -2 then add -8 the subtract 5 from 4 and divde 1 from each side

PLEASE I NEED HELP NOW ANSWER ALL 4 QUESTIONS FOR 20 POINTS!!!

Answers

Answer:

Steak:$38

Chicken:$24.75

Fish:$16.31

Total:$79.06

Step-by-step explanation:

8 x 3 1/2 = 8 x 7/2 = 56/2 = 28

4 2/4 x 5.50 = 4 2/4 x 5 1/2 = 18/4 x 11/2 = 198/8 = 24 6/8 = 24.75

2 1/4 x 7.25 = 2 1/4 x 7 1/4 = 9/4 x 29/4 = 261/16 = 16 5/16 = 16.312 (round it and get 16.31)

38 + 24.75 + 16.31 = 79.06

This is Amy's box of candies.
She has already eaten 6 of them.

What fraction of the candies has Amy eaten?

Answers

Answer:

[tex] \frac{6}{9} [/tex]

or

[tex] \frac{2}{3} [/tex]

Step-by-step explanation:

There are nine in total and she has eaten 6, so the fraction would be 6/9.

If you need to simplify it it would be 2/3.

Helppppppp ASAP plsss

Answers

If p = 2, insert the value of p.

2^3 = 2 x 2 x 2 = 4 x 2 = 8

so p^3 = 8

solve. -1/2 + (3/4 x 4/9) =

A. 1/9

B. -1/5

C. 5/6

D -1/6

Answers

Answer:

D, -1/6

Step-by-step explanation:

-1/2+(3/4*4/9)

Multiply equation inside the parentheses

3/4*4/9=12/36=1/3

Substitute 1/3 into original equation

-1/2+1/3=1/3-1/2

Make denominators the same

2/6-3/6

Simplify

-1/6, D

Which expressions have the same value as the product of 0.06 X 3.9?

Circle the letter for all that apply.
A 216 X 0.001
B 0.216 X 0.01
C 21.6 X 0.01
D 2.16 X 0.1
E 216 X 0.01

Answers

The answer is
B
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a size 8 kids shoe measures 9 2/3

Answers

What am I suppose to answer?

A rectangular photograph is reduced to 75% of its original size. The photo was originally 12 inches by 16 inches. What is the perimeter, in inches, of the reduced picture?

Answers

16*0.75= 12 in
12*0.75=9 in
9+9+12+12=42 in
Answer: 42 in

Jkgdgdkhhgkdksytsktsykkusutskfkxh

Answers

39% , 39/100, and .39 are all equal

Answer:

39% , 0.39 , 39/100

Step-by-step explanation:

I thought your randomness of letters was your question lol. Hope this helps though!

need help!!!!!!!!!!!!!!!!!!!

Answers

Answer:

-6x=64

Step-by-step explanation:

Answer:

64 -- 6 = x

( x equals 58 btw )

<3 Enjoy,

    Dea

What is the focus of the parabola? y=−1/4x^2 −2x − 2

Answers

Answer:

Step-by-step explanation:

This is a doozy. You have to know A LOT about parabolas to get to this answer. First and foremost, we will have to complete the square on the x terms and get everything else on the other side of the equals sign with the intention of putting this into standard form which looks like this:

[tex]-4p(y-k)=(x-h)^2[/tex]

The negative is because the parabola is upside down. We begin breaking it down by multiplying everything by -4 to get:

[tex]-4y=x^2+8x+8[/tex] and subtract that 8 from both sides to get:

[tex]-4y-8=x^2+8x[/tex]. Now we'll complete the square on the x terms by taking half the linear term, squaring it, and then adding it to both sides. Our linear term (the number with the x stuck to it) is 8. Half of 8 is 4 ad 4 squared is 16. So we add 16 to both sides to get:

[tex]-4y-8+16=(x^2+8x+16)[/tex]

The right side will simplify into a perfect square binomial and the left side we will just combine like terms to get:

[tex]-4y+8=(x+4)^2[/tex]

We're getting close. Now we need to just factor out the -4 on the left to get:

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

If the standard form is -4p blah blah blah, then p has to be 1. That means that the focus is 1 unit below the vertex. The vertex is (-4, 2). p is the distance between the vertex and the focus. The focus is always on the axis of symmetry. We know that the parabola opens upside down because of the negative sign, and the parabola always wraps itself around the focus. That's why the focus is p units below the vertex. That means that the focus is located at (-4, 1).

Told you it was difficult. I noticed no one helped you with this one and it's been up here for 5 days...

Felicia has a stack of 10 cards. Each card is labeled with a number in the range 1 through 10 and no two cards have the same number. She picks three cards at random from the stack and adds the numbers on the three cards. What is the expected value of the sum

Answers

Answer:

The expected value of the sum of three numbers chosen out of 10 numbers will be 16.5.

Step-by-step explanation:

Felicia has a stack of 10 cards with number 1,2,3,4,5,6,7,8,9,10

Selecting 3 cards out of 10

10C3 = 120

Now she picks three cards to look at their numbers and sum it up

The possible three numbers are

(1 2 3), (1 3 2), (2 1 3) ,(2 3 1), (3 1 2), (3 2 1) ,(1 2 4), (1 4 2), (2 1 4), (2 4 1),

(4 1 2)│(4 2 1), (1 2 5), (1 5 2)│(2 1 5), (2 5 1) ,(5 1 2), (5 2 1), (1 2 6), (1 6 2), (2 1 6), (2 6 1), (6 1 2) ,(6 2 1) ,(1 2 7), (1 7 2) ,(2 1 7), (2 7 1), (7 1 2), (7 2 1), (1 2 8), (1 8 2), (2 1 8) ,(2 8 1), (8 1 2) ,(8 2 1), (1 2 9), (1 9 2), (2 1 9), (2 9 1), (9 1 2), (9 2 1),

(1 2... …, (6 10 8), (8 6 10), (8 10 6), (10 6 8), (10 8 6), (6 9 10), (6 10 9), (9 6 10),

(9 10 6), (10 6 9), (10 9 6), (7 8 9), (7 9 8), (8 7 9), (8 9 7), (9 7 8), (9 8 7), (7 8 10),

(7 10 8), (8 7 10), (8 10 7), (10 7 8), (10 8 7), (7 9 10), (7 10 9), (9 7 10), (9 10 7),

(10 7 9), (10 9 7) , (8 9 10), (8 10 9), (9 8 10), (9 10 8), (10 8 9), (10 9 8)

Now we sum it all up so minimum sum can be 1+2+3 = 6 andthe maximum can be 8+9+10 = 27

Let S denote the sum of the three numbers that are chosen and P(S=k) denotes its probability

P(S=6)=1/120  

P(S=7)=1/120

P(S=8)=1/60

P(S=9)=1/40

P(S=10)=1/30

P(S=11)=1/24

P(S=12)=7/120

P(S=13)=1/15

P(S=14)=3/40

P(S=15)=1/12

P(S=16)=1/12

P(S=17)=1/12

P(S=18)=1/12

P(S=19)=3/40

P(S=20)=1/15

P(S=21)=7/120

P(S=22)=1/24

P(S=23)=1/30

P(S=24)=1/40

P(S=25)=1/60

P(S=26)=1/120

P(S=27)=1/120

Now adding all the sum in order to get the expected value

∑(K=6 to 27) k*P(S=k) = 33/2 = 16.5

Therefore the expected value of the sum is 16.5.

Look at points C and D on the graph: HOW U PUT A PHOTO :=)

A coordinate plane graph is shown. Point C is at 1 comma 3. Point D is at 4 comma negative 3. A segment connects the two points.

What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.

1. 3.01 units.
2. 5.20 units.
3. 6.50 units.
4. 6.71 units.

Answers

Answer:

6.71

Step-by-step explanation:

If you want to put picture i would recommend using your phone to do it. :]

Answer: its 6.71

Step-by-step explanation:

In his bank account, Jean-Paul has a balance of $0.00
His friend Albert has a bank balance of -$11.10
Which friend's bank account has more debt?


Choose 1 answer:

A. Jean-Paul

B. Albert


Which friend's bank balance has a greater absolute value?

Choose 1 answer:

A. Jean-Paul

B. Albert

Answers

Hey Hey

Answer 1: Jean-Paul (A)
Answer 2: Albert (B)

Hope this helps <3

Answer 1 A
Answer 2 B

How many blue circles are equivalent to the orange square? Explain how you know.​

Answers

Answer:

5 blue circles are equivalent to the orange square

Step-by-step explanation:

If you take away 2 blue circles from each side so that the orange square is by it's self, and the equation stays balanced, you will be left with 5 blue circles on the side without the orange square.

Answer:

5

Step-by-step explanation:

There are a total of 7 blue circles on the right side and 2 on the left.

You also know that both sides are equivalent.

You can assume that the all the blue circles have the same weight

If you subtract the only blue circles from the left from the 7 blue circles on the right you get

1 orange square on the left and 5 blue circles on the right.

A storage container for oil is in the shape of a cylinder with a diameter of 14ft and a height of 16ft. Which measurement is closest to the volume of the storage container in feet.

Answers

Answer:

the answer would be 1335.18

Step-by-step explanation:

ples halp ples tysm....

Answers

10

Edge 2020-2021 how is everyone’s day

please help!! :)

find the area of this parallelogram. Be sure to include the correct unit in your answer.

Answers

Answer:

7x12x13=1092

Step-by-step explanation:

PLZ HELP TROLL ANSWERS GET REPORTED MAKE IT UNDERSTANDABLE Match each expression to its value.

Answers

Answer:

7-5 => 2-7+5 => -2-7-5 => -127-(-5) => 12

Step-by-step explanation:

Lets solve the expressions one by one

1. 7-5

we can see that it is simple subtraction. A smaller number is being subtracted from a large number.

So the answer is 2

2. -7+5

There are two numbers with different signs. When there is a number with plus and a number with minus both quantities are subtracted but the larger quantity determines the sign of the answer.

In this case, 7 is larger and has negative sign, the answer will be -2

3. -7-5

When there are two numbers with minus sign they are added but the answer has the minus sign with it.

So the answer will be: -12

4. 7-(-5)

When minus is multiplied with minus it converts to positive

So

[tex]= 7-(-5) = 7+5 = 12[/tex]

Hence,

7-5 => 2-7+5 => -2-7-5 => -127-(-5) => 12

2x+3y
help me please

Answers

Answer:

2 x + 3 y

Step-by-step explanation:

what is 5,300 rounded to the nearest thousand​

Answers

Answer:

5,000

Step-by-step explanation:

arithmetic sequence ​

Answers

Answer:

First, find the common difference for the sequence. Subtract the first term from the second term. Subtract the second term from the third term. Subtract the third term from the fourth term. To find the next value, add to the last given number.

Step-by-step explanation:

A classroom is painting the classrooms. Each classroom takes 1/3 of a gallon of
paint. If the school buys 6 gallons of paint, how many classrooms can they paint?
Plz help

Answers

Answer: try 18

Step-by-step explanation:

Watch help video
If using the method of completing the square to solve the quadratic equation
X2 – 9x + 38 = 0, which number would have to be added to "complete the
square"?

Answers

Answer:

Step 1 Divide all terms by a (the coefficient of x2).

Step 2 Move the number term (c/a) to the right side of the equation.

Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

hope this help

but this is little info dont worry i will answer your question just in a minute

Step-by-step explanation:

Can someone please explain to me how to tell if a number it's prime or not

Answers

Answer:

A prime number is a number that can only be divided by 1 and itself.

Does this graph represent a function? Why or why not?

Answers

No because I ain’t no simp!!

PLEASEEEE HELP ASAPP!! 25 POINTS!!
Consider the given functions
which statement about the functions is true?
A) function 2 and 3 have the same y-intercept and the same rate of change
B) functions 2 and 3 are both increasing but function 3 is increasing at a faster rate
C)functions 1 and 3 are both decreasing but function 1 is decreasing at a slower rate
D) function 1 and 3 have the same rate of change but function 1 has a greater y-intercept

Answers

Answer:

the answer is D because all the others are false, but 1 &3 both have a rate of change of 2, but 1's y-intercept is 8 and 3's y-intercept is 5

Answer:

yep he is right

Step-by-step explanation:

The measurement of the complement of an angle is 40° more than the angle. What is the supplement for the angle?

Answers

The measure of the supplement is 140
I think it’s 140 correct me if I’m wrong
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