Solve |x – 4| + 6 = 17.
A. X= 15 and x = -15
B. x= -15 and x= 7
C. x = 15 and x= -7
D. x = -15 and x = -7

Answers

Answer 1

Answer:

[tex]\mathrm{C)\:}x=15,\:-7[/tex]

Step-by-step explanation:

For [tex]|a-b|=c[/tex], there are two possible cases:

[tex]\begin{cases}a-b=c\\a-b=-c\\\end{cases}[/tex]

Solving for both cases, we get:

[tex]\begin{cases}x-4+6=17, \:x+2=17, \: \fbox{$x=15$}\\-(x-4)+6=17,\: -x+10=17, \: -x=7, \:, \fbox{$x=-7$}\\\end{cases}[/tex]


Related Questions

What polygon is formed by
joining the points
(1, -1), (4, -1), (-1, -3),
and (7, -3)?

Answers

Answer:

Its a trapezoid

Step-by-step explanation:

Also you don't have to ask this on brainly

go to desmos its a free graphing calculator

Please mark me brainliest I'm doing a challenge  

if you have to do 198 assignments in 27 days how many assignments should you do daily?

Answers

You would need to do about 7.33

Answer:

8 assignments a day

Step-by-step explanation:


Phyllis has $1,400 in her savings account. If the bank pays 2.25% interest per year
on savings, how much interest does she earn in one year?

Answers

Answer:

1400/100 x 2.25 = $31.50

PLS I NEED HELP ASAP!! WILL GIVE BRAINLIEST

Answers

Answer:

x over 2

Step-by-step explanation:

Solve the system of linear equations by elimination,
-y - 10 = 6x
5x +y = -10

Answers

Hey again!

The solution to the given system is (0, -10)

To solve using elimination, we have to add the equations together, and the "y"s will cancel out, and then solve the equations:

5x - 10 = 6x - 10

Now solve.

Add "10" to both sides:

5x = 6x

Subtract "5x" from both sides

0 = x

Now, we plug in the solved "x" value in an equation to solve for "y".

5(0) + y = -10

y = -10

We now know that the solution to the given system is (0, -10)

Hope this helps! Have an amazing day, and remember, you've got this!!

The solution to the given system of linear equations is (0, -10) which is determined by the elimination method.

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

The system of linear equations is given in the question:

-y - 10 = 6x    ....(i)

5x +y = -10    ....(ii)

To solve using elimination, we have to add the equations (i) and (ii) together, and the "y" will be eliminated, and then solve the equations:

⇒ 5x - 10 = 6x - 10

Add "10" to both sides of the above equation

⇒ 5x = 6x

Subtract "5x" from both sides

⇒ 0 = x

⇒  x = 0

Now, substitute the value of x = 0 in equation (ii) to solve for "y".

⇒ 5(0) + y = -10

⇒ y = -10

Therefore, the solution to the given system of linear equations is (0, -10).

Learn more about the Linear equations here:

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Rewrite the inequality with zero on one side and one rational expression on teh other. 3/x+2+4>3 what is the first step

Answers

Answer:

Add –3 to both sides

Step-by-step explanation:

edge 2021

Multiplying binomials using area model.

Answers

Answer:

4x²+35x+24

Step-by-step explanation:

FOIL the binomials and simplify

4x^2 + 35x + 24

That's all I know.

Find the value of x and y.

Answers

Answer:

X=63 y=27

Step-by-step explanation:

X and 117 are on a straight line. All straight lines = 180 degrees.

180 - 117 = 63

90 - 63 = 27

Find the equation of the line shown

Answers

Step-by-step explanation:

at 3=3

at 0=9

at 4=1

[tex]y = ax + b[/tex]

[tex]1 = 4a + b \\ 3 = 3a + b \\ 2 = - a \\ a = - 2 \\ 1 = - 4 \times 2 + b \\ b = 1 + 8 = 9 \\ y = - 2x + 9[/tex]

Answer:

y=-2x+9

Step-by-step explanation:

From looking at the line you can already tell that the slope is going to be negative, and the y-intercept is going to be 9, since that's where y is when x is 0. You can see that when x is one, y is 7. When x is 2, y is 5. And when x is 3, y is 3.

So:

0: 9

1:7

2:5

3:3

And the difference of y over the difference of x is the slope

-2/1=-2

So the slope is -2

Therefore, putting the equation together makes:

y=-2x+9

Hope this helps!

Joseph runs 2/12 miles on Monday. Each day after that, he runs the same 1/13 mile route every morning. His goal is to run at least 6 miles by the end of the week. Which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal?

What is the least number of days after Monday that Joseph needs to run to reach his goal?

Answers

Answer:

Step-by-step explanation:

At the end of practice, Joseph will need to run another 1.75 miles or 1 3/4 miles.

To determine this we need to subtract the amounts he already has run during practice from the goal of 3 miles.

3 miles - 1/2 miles - 1/4 miles - 1/4 miles - 1/4 miles = 1.75 miles

VOTING BRAINLIEST 10 POINTS! Rectangle PQRS and its side lengths are shown in the figure.

Which side lengths belong to a rectangle that is NOT similar to rectangle PQRS?
A. 4.5 ft by 3 ft
B. 13.5 ft by 9 ft
C. 6 ft by 4 ft
D. 12 ft by 9 ft

Answers

Answer:

its 100% d.)

Step-by-step explanation:

plz mark me

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.

Answers

Complete question :

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming

Which statement best describes the depth of the fish

From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.

From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second.

From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.

Answer:

From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

Step-by-step explanation:

Given the equation :

y = - 7x - 3

y = depth of fish in meters ; x = Number of seconds fish has been swimming

From the equation ; which is written according to the slope - intercept equation, ; y = mx + c

The slope, m = - 7 is the rate of change in y per unit of x

c = intercept, constant, value of y when x = 0

Hence, the true statement in the equation is :

-7 represents descent and meams fish descents at a rate of 7 m per second

At x = 0, the fish is at a depth of 3 m

Noah is solving the inequality 7x + 5 > 2x + 35. First, he solves the equation 7x + 5 = 2x +35 and gets x = 6. How does the solution to the equation help Noah to solve the inequality? Explain your reasoning.​

Answers

Answer:

1682

Step-by-step explanation:

because if you add or subtract or divide or times it it will some how show the answer and you will have to take the risk of it being right or nor

Answer:

:)

Step-by-step explanation:

7x+5>2x+35

5x>30

x>6

Solve And Graph 12 + 6 _> 42

Answers

Answer:

Steps

12+6>42

simplify

18>42

There for the solution us FALSE

ASAP PLEASE HELP ILL MARK BRAINIEST IF ANSWERED IN LESS THAN 1HR

Answers

Answer:

D

Step-by-step explanation:

x=4

The length of a planet's orbit around a star is approximately 24,130,000 km.
It takes the planet about 1440 Earth days to complete a full orbit.
What is the planet's average speed in kmh-1 to 3sf?

Answers

hii I am enter in wrong serve ....

Answer:

have u goa answer

Step-by-step explanation:

Please help ASAP!!!!

Answers

Answer:

(-2, 0, 1, 3)

Step-by-step explanation:

From the given graph, there are four x-intercepts, which are the points the graph crosses the x-axis

Taking the y-axis as the given vertical line, and each demarcation as representing one unit division, we have;

The x coordinates of the x-intercepts are given as follows;

1) Two lines to the left of the origin which represents "-2"

2) Through the origin, which represents "0"

3) One line to the right of the origin which represents "1"

4) Three lines to the right of the origin which represents "3"

The set of values that represents the x-intercepts of the function are;

(-2, 0, 1, and 3)

Which of the following values are solutions to the
inequality –8 + 2x > 5

Answers

Answer:

6

Step-by-step explanation:

i guess

Which gives the prices in order, from least to greatest

Answers

Answer:

is there a picture to go with the problem?

Convert the equation `8x-4y=24` into slope intercept form. SHOW WORK TO SUPPORT.

Answers

8x-4y=24

sub 8x from both sides

-4y=24-8x

sub 24

-4y-24=-8x

add -4y

-24=4y=8x

Answer:

y=2x-6

Step-by-step explanation:

First isolate the variable. You're trying to find y, so you need to ultimately leave y by itself.

8x-4y=24

Subtract 8x from both sides to cancel out the 8.

You should have the equation below left:

-4y= -8x+24

Now, divide everything by negative for so that you are only left with the y.

You should have the equation below left.

y=2x-6

I hope this helped:)

PLEASE HELP!!!!!! what is the purpose of arithmetic and geometric sequences?

Answers

Answer:

An arithmetic sequence has a constant difference between each term. ... A geometric sequence has a constant ratio (multiplier) between each term. An example is: 2,4,8,16,32,… So to find the next term in the sequence we would multiply the previous term by 2.

Step-by-step explanation:

Give me a brainiest, please.

Please help me please due today

Answers

Answer:

2

Step-by-step explanation:

Use the method [tex]\frac{rise}{run}[/tex].

Both points are 3 across (run), and 6 up (rise).

Plug it in and divide the numbers.

6/3 = 2

Hence, m equals 2.

I need a bit of help!

Answers

Answer:

The correct answer is where red goes to orange.Blue goes to green and yellow goes to green

Answer:

The correct answer is where red goes to orange.Blue goes to green and yellow goes to green:

Mr Paul bought 2 bags of fertilizer at $75 a bag,a wheelbarrow for $350 and 3 spades at $130 a spade.he paid $1000 to the cashier how much change did he receive plz explain ​

Answers

Answer:

$110

Step-by-step explanation:

1000-75-75-350-130-130-130=$110 in change

She would receive $10.05 cents. Add the numbers, and you would get 9.95. Then you subtract $20 by getting $9.95, and then you get $10.05. Hope this helped!

Evaluate the expression 36.6 – 24 x 22 ÷ 3

Answers

Answer:

-139.4

Step-by-step explanation:

36.6 - 528 ÷ 3 = 36.6 - 176

= -139.4

Use the replacement set {4, 8, 21} to find the solution of the equation
7n - 4 = 24.

Answers

Answer:

n=4

Step-by-step explanation:

7n - 4 = 24

24 + 4 = 28

7n = 28

n = 4    

OR  plug in the sets you gave and see if they equal 24

ARE ON
1. Which of the following is most likely a graph of y=-2x +3?

Answers

The answer is:y=-1x+3

please help me with this thankyou ​

Answers

Answer:

Area of the Rectangle is (length×breadth)

[tex]5 {x}^{5} {y}^{3} \times {(7 {x}^{3}y) }^{4} = 5 {x}^{5} {y}^{3} \times 2401 {x}^{12} {y}^{4} \\ = 12005 {x}^{17} {y}^{7} [/tex]

Third option is the right answer.

Conray is 72 years old. He is three times his daughter's age. His daughter is three years younger than Nia.
How old is Nia?
1️⃣0️⃣‼ POINTS!!!​

Answers

Answer: 27 I think

Step-by-step explanation:

72 divided by 3 plus 3

The age of Nia is given by the equation N = 27 years old

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the age of Nia be represented as N

Now , the equation will be

Let the age of Conray be C

The value of C = 72 years

And , Conray is three times his daughter's age

Let the age of Conray's daughter be D

The value of D = C / 3

Substituting the values in the equation , we get

The value of D = 72/3 = 24 years

And , Conray's daughter is three years younger than Nia

So , N = D + 3

Substituting the values in the equation , we get

N = 24 + 3

On simplifying the equation , we get

N = 27 years

Therefore , the value of N is 27 years

Hence , the age of Nia is 27 years

To learn more about equations click :

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What is the value − 3 1/4 ∙ 2 1/3

Answers

Answer:

the value of this is-217÷4 = -54.25

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