Solve the equation: |2x + 5| = 11.

Answers

Answer 1

Answer:

x = -8 and x = 3

Step-by-step explanation:

Split the equation into 2 possible cases:

2x + 5 = 11

2x + 5 = -11

Then, solve these 2 equations.

2x + 5 = 11

2x = 6

x = 3

2x + 5 = -11

2x = -16

x = -8

So, the 2 solutions are x = -8 and x = 3


Related Questions

A box of spaghetti at the grocery store is purchased for $1.60 wholesale and is marked up by 60 percent. Then, the store marks down the item by 20 percent. A customer wants to buy three boxes of spaghetti. How much will the customer pay, including paying 8 percent sales tax? Round your answer to the nearest cent.

Look at the table below.

Steps
Moses’s work
Step 1
1 dollar and 60 cents (1.6) = 2 dollars and 56 cents
Step 2
2 dollars and 56 cents (0.80) = 2 dollars and 5 cents
Step 3
2 dollars and 5 cents (3) = 8 dollars and 20 cents
Step 4
8 dollars and 20 cents (1.08) = 8 dollars and 86 cents

In which step did Moses first make a mistake in his work?
Step 1
Step 2
Step 3
Step 4

Answers

The first step because 1 dollar and 60 cents is not (1.6)= 2 dollars and 5 cents

How to round 86.415 to the nearest whole number end point

Answers

You would round this number by rounding each number (until the whole number) from right to left. So it would change from 86.415>86.42>86.4>87.

Hope this helps, if not, comment below please!!!

Answer:

86

Step-by-step explanation:

I'm not completely sure what this question is asking for. But if you want to round 86.415 to the nearest whole number, it would be 86, since any number less than 5 you would round down, and the 4 in the tenths place is less than 5.

Three times a number minus 5 plus the same number

Answers

Answer:

15

Step-by-step explanation:

Line a passes through points (-2, 1) and (2,9). Write an equation in slope intercept form that is parallel to line a.​

Answers

Answer:

y=ax+9−2a (i think )

Step-by-step explanation:

A straight line is represented by a linear function

The equation of line a is: [tex]\mathbf{y = 2x +5}[/tex]

The points are given as:

(x1,y1) = (-2,1)

(x2,y2) = (2,9)

Calculate the slope (m)

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{9-1}{2--2}}[/tex]

[tex]\mathbf{m = \frac{8}{4}}[/tex]

[tex]\mathbf{m = 2}[/tex]

The equation in slope intercept form is:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

So, we have:

[tex]\mathbf{y = 2(x +2) + 1}[/tex]

[tex]\mathbf{y = 2x +4 + 1}[/tex]

[tex]\mathbf{y = 2x +5}[/tex]

Hence, the equation of line a is: [tex]\mathbf{y = 2x +5}[/tex]

Read more about slope intercept form at:

https://brainly.com/question/11824567

Joseph is tracking the progress of her plant's growth. Today the plant is 8 cm high. The plant grows 1.5 cm per day
What is the linear model that represents the height of the plant after d days.

Answers

Answer:

y = 1.5x(or d) + 8

Step-by-step explanation:

1.5 is the slope and 8 is the y intercept(the constant term)

Plot the line for the equation on the graphy,−5=3/2(x−2)

Answers

Answer:

The equation of the line is:

y - 5 = 3/2 (x - 2)

Transforming the line into the slope intercept form:

y = 3x/2 - 3 + 5

y = 3x/2 + 2

The slope is 3/2 and the y-intercept is 2.

Plotting this on the graph can be done using these steps:

Locate the point (0,2) on the graph.

From (0,2), count 3 units up and 2 units to the left and indicate that point.

Finally, connect the two points and extend the line.

Is there a proportional relationship between x and y?
5
10
6
9
2
Cans of Paint (x)
Bird Houses Painted (y)
15
30
18
27
6
Yes, k =2
Yes, k=3
No

Answers

Answer:

Unnnnnnnnnnnnnnnnnnnnnnnnbnbnnnn

Yes K=3 bc
3 times 5 is 15
3 times 10 is 30
3 times 6 is 18
3 times 9 is 27
And 3 times 2 is 6

Jane bought 12 identical beanie babies for her sister’s birthday goody bags. Is it possible that without tax her purchase was: $16.20, $18.32, $18.42

Answers

Answer:

$18.32

Step-by-step explanation:

First one is not possible. Same for 18.42

I think I know the answer but I just want to double check.

Answers

D would be the correct answer

Answer:

D

Step-by-step explanation:

I think it's same with what ur thinking

Which of the following is a geometric sequence?
A. 3, 6, 9, 15, 24
B. 2, 4, 8, 16, 32
C. 6, 13, 20, 27, 34
D. 2,5,7,12,19

Answers

B. 2 4 8 16 32 is a geometric sequence

PLEASE HELP I BEG YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

R1:   Given

R2:   Subtraction Property of Equality

R3:   Distribute Property

R4:   Addition Property of Equality

R5:   Division Property of Equality

Write a paragraph proof for the following conjecture: m∠1 + m∠2 = m∠4

Prove: m∠3 + m∠1 + m∠2 = 180°

Given: ∠1 + ∠2 = ∠ 4

∠4 + ∠3 must be 180° because they are supplementary

If ∠4 + ∠3 is 180, and ∠1 + ∠2 = ∠4, you can substitute ∠4 in the first equation for ∠1 + ∠2.

Hence, we arrive at the answer ∠1 + ∠2 + ∠3 = 180.

Plz mark brainliest:)

The ratio of apples to oranges in a basket of fruit is 2:7. There are 21 oranges in the
basket. How many apples are in the basket?

Answers

Answer:

6

Step-by-step explanation:

The given ratio specifies the number of apples to be found in the basket

for a given number of oranges.

Correct response:

The number of apples in the basket are 6 apples

Methods of calculation

The given ratio of apples to oranges in the basket of fruits = 2:7

The number of oranges = 21 oranges

Required:

The number of apples in the basket.

Solution:

The given ratio can be expressed as follows;

[tex]\mathbf{\dfrac{Number \ of \ apples}{Number \ of \ oranges}} = \dfrac{2}{7} [/tex]

Which gives;

[tex]\dfrac{Number \ of \ apples}{21} = \dfrac{2}{7} [/tex]

7 × (Number of apples) = 2 × 21

[tex]Number \ of \ apples = \dfrac{2 \times 21}{7} = 6[/tex]

The number of apples in the basket = 6 apples

Learn more about ratios here:

https://brainly.com/question/2645778


Combine like terms.
y+6 - 2 – 4y^3– 5y + 2y^3 – 2y^3

Answers

Answer: −4[tex]y[/tex] + 4 − 4[tex]y^{3}[/tex]

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Collect like terms.

([tex]y[/tex] − 5[tex]y[/tex]) + (6 − 2) + (−4[tex]y^{3}[/tex] + 2[tex]y^{3}[/tex] − 2[tex]y^{3}[/tex])

Step 2: Simplify.

−4[tex]y[/tex] + 4 − 4[tex]y^{3}[/tex]

~I hope I helped you! :)~

Evaluate the following.

Answers

Answer:

5

Step-by-step explanation:

|8| - |14 - 11|

8 - 3

5

the answer is 5 because 14 - 11 is 3 & 8 -3 is 5

Simplify 5a-(-9)-7a-12

Answers

Answer:

-2a = 0 + 3

Step-by-step explanation:

hope this helps.

I need to write a proportion to the following problem:

3 folders cost $2.91. What written proportion would help determine the cost of 2 folders?​

Answers

Answer:

The cost of two folder is $ 1.94

Solution:

Given that 3 folders cost $ 2.91

We have to determine the cost of 2 folder

From given,

Cost of 3 folder = $ 2.91

 

To find the cost of 1 folder, divide 2.91 by 3

Thus cost of 1 folder is $ 0.97

We are asked to find cost of two folders.

Therefore, multiply cost of 1 folder by 2

Thus cost of two folder is $ 1.94


Brett made a scale drawing of a rectangular room in his house.
The actual length of the room is 12 4/5 ft. The scale used to make the
drawing was 1/4 in. = 1 ft. What is the length, in inches, of the room
on the drawing?

Answers

Answer:

Step-by-step explanation:

Length of the room = 12 4/5 ft = 12.8 ft

Scale is 0.25 inches = 1 ft.

This means that every 1ft is shown as 1/4 inch on the map.

To find what 12 4/5ft on the map, you would multiply 12.8 by 0.25.

12.8 x 0.25 = 3.2 inches

please help! i will give brainliest!

Answers

Answer:

2,2

-10

that's the answer to both of them

How much of the circle is shaded? Write your answer as a fraction in simplest form.

Answers

1 - 2/5 - 1/3= 4/15 of the circle is shaded

Dave cleans pools at a constant rate of 2/5 pools per hr what is the ratio of the number of pools he cleans to the number of hours
How many pools can dave clean in 20 hrs

Answers

Answer:

For every 1 hour he cleans 2/5 pools, so the ratio of pools to hours is 0.4:1

In 20 hours, Dave can clean 2/5 • 20 = 8 pools.

What is the value of the expression below? (9 divided by 3) + 4 (6 minus 7) –7 –1 7 20


PLEASE ANSWER QUiCK I’m on timer

Answers

Answer:

The answer is -1.

Step-by-step explanation:

Answer:

-1 is the answer saw it on clculator

6(5−8v)+12=−54 can you help me with this?

Answers

Answer:

v=2

Step-by-step explanation:

6(5-8v)+12=-54

6(5-8v)=-66

(6(5-8v))/6=-66/6

5-8v=-11

-8v=-11-5

-8v=-16

6(5-8V)+12=-54
6(5-8V)=-66
(6(5-8V))/6=-66/6
5-8V=-11
-8V=-11-5
-8V=-16
V=2

A student evaluated −4 + (−9 12) and got an answer of 5 12. What might the student have done wrong? explain in details

Answers

Answer:

[tex]the \: students \: calculation \: was \\ based \:on\: addition \: of \: the \: numbers \\ without \: cosidering \: thier \: nagative \: signs.[/tex]

The roots of a quadratic equation are
1/ 3 and -2. Determine the equation​

Answers

Answer: God

Step-by-step explanation:

The reason it’s god is because god created everything so he know everything. So your answer is god

pls help thanks alot​

Answers

1st, 4th, 5th. hope this helped!

Answer:

A, C, D

Step-by-step explanation: the side of the > that has the opening is the side that should have the greater number, so if its like answer A its true

Question 1
Select ALL expressions that are equivalent to 4x + 2(2x - 5) - (3 - 5x).
A
82 - 10 - 3 - 52
B
3.2 - 13
С
13 – 13
82 - 10 - 3 + 5%
E
83 - 5 - 3 - 5x

Answers

Answer:

B

Step-by-step explanation:

GUYS CAN SOMONE anser 2 QUESTIONS!? WHATS 8.97 IN WORD FORM AND EXPANDED FORM!?

Answers

Answer:

eight point nine seven, 8+0.9+0.07

Step-by-step explanation:

Which correctly describes the points of discontinuity of the function? Select all that apply.
A. There is an infinite discontinuity at x equals negative 2.
B. There is a jump discontinuity at x equals negative 2.
C. There is a removable discontinuity at x equals negative 1.
D. There is an infinite discontinuity at x = 1.
E. There is a jump discontinuity at x = 1

Answers

Answer:

A, C, and E

Step-by-step explanation:

f(x) = -x? – 10x
Find f(-7)

Answers

Answer:

f(-7) = 21

Step-by-step explanation:

f(-7)= - (-7)^2 - 10 (-7) = 21

I mark as brainliest ​

Answers

Answer:

.1

Step-by-step explanation:

Answer:

Point Q is represented by the ordered pair (-2,9)

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