Mathematics High School

solve absolute value equation |5c-17| = |3x +11|

Answers

Answer 1

9514 1404 393

Answer:

x = 3/4 or 14

Step-by-step explanation:

Assuming your equation is ...

|5x -17| = |3x +11|

it can be rewritten as two equations:

5x -17 = -(3x +11)

5x -17 = 3x +11

The solution to the first of these is ...

5x -17 = -3x -11

8x = 6 . . . . . . . . add 3x+17

x = 6/8 = 3/4 . . . divide by 8

The solution to the second equation is ...

5x -17 = 3x +11

2x = 28 . . . . . . . . add 17-3x

x = 14 . . . . . . . . . . divide by 2

The solutions are x = 3/4 or x = 14.

Solve Absolute Value Equation |5c-17| = |3x +11|

Related Questions

HELP AGLEBRA 2 LOTS OF POINTS
I need help on this Exponent rules maze, please show your work so I can understand what I did wrong

Answers

Step-by-step explanation:

The picture isn’t loading... I have sat here for like 10minutes now thinking that it was my WiFi........ Ur gonna have to post another one.

Rebekah lives on a large, rectangular-shaped property that has a length 500 m and a width of 200 m. If it takes Rebekah 420 s to run the entire perimeter of her property, what is her average speed in meters per second rounded to the nearest hundredth?

Answers

Answer:

3.33m/s

Step-by-step explanation:

The perimeter of a rectangle is

= 2(L + W)

L = 500m

W = 200m

= 2(500 + 200)

= 2(700)

= 1400m

If it takes Rebekah 420 s to run the entire perimeter of her property.

Her average speed in meters per second rounded to the nearest hundredth is = Distance/Time

= 1400m/420s

= 3.3333333333 m/s

Approximately = 3.33m/s

Which matrix represents the solution to the system of equations below?
2a+b+c=2
-a+b-C=-4
a-2b+2c= 6

Answers

Answer:

Step-by-step explanation:

Edge 2021 :)

The solution to the system of equations is a=2, b=-2 and c=0

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equations are

2a+b+c=2 ...(1)

-a+b-C=-4 ...(2)

a-2b+2c= 6 ...(3)

Isolate a for 2a+b+c=2

a=2-b-c/2

substitute a in equation 2 and 3

-2+b+c/2 -b-c=-4

2-b-c/2-2b+2c=6

(3b-c-2)/2=-4

5b+3c+2/2=6

Isolate b for (3b-c-2)/2=-4

b=c-6/3

By simplification we get a=2, b=-2 and c=0

Hence, the solution to the system of equations is a=2, b=-2 and c=0

To learn more on Equation:

https://brainly.com/question/10413253

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3) Amani spent half of her weekly allowance on the movies. She made an extra 30 dollars
babysitting. At the end of the week, Amani had a total of 45 dollars left. How much is
Amani's weekly allowance?

Answers

Answer:

Step-by-step explanation:

answer: the is 23.

what is the sum of zeros of the equation (m-10)(6m-1)=0. Ancwer your question as a fraction

PLSSS SOMEONE ANCWEE THISS BEGGINGG.

Answers

Answer:

The sum of zeros is [tex]\frac{61}{6}[/tex]

Step-by-step explanation:

The Rule of Zero Product

The rule of zero product states that the product of two nonzero elements is nonzero. It can be written as the following assertion:

If a.b=0, then a=0 or b=0

The equation

(m-10)(6m-1)=0

can be solved by applying the mentioned rule:

[tex]m-10=0 \ \ \Rightarrow m=10[/tex]

[tex]6m-1=0 \ \ \Rightarrow m=1/6[/tex]

The sum of both solutions is:

[tex]\displaystyle 10+\frac{1}{6}=\frac{61}{6}[/tex]

The sum of zeros is [tex]\mathbf{\frac{61}{6}}[/tex]

The price of a gallon of unleaded gas has risen to $2.86 today. Yesterday's price was $2.81. Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

Answer:

1.8%

Step-by-step explanation:

2.86-2.81 = .05 (find the difference between the two numbers)

2.81 / .05= .017 (divide the original number)

Multiply 100 to get a percentage

1.8% (rounding to the nearest tenth)

What is the equation for this line?

Answers

Answer:

The equation of the line is y = 2x - 3

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope of the line, [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept (value y at x = 0)

Let us take two points on the line to find its equation

∵ Points (3, 3) and (0, -3) lie on the line

∴ x1 = 3 and y1 = 3

∴ x2 = 0 and y2 = -3

→ Use the rule of the slope above to find m

∵ [tex]m=\frac{-3-3}{0-3}=\frac{-6}{-3}=2[/tex]

∴ m = 2

→ Substitute its value in the form of the equation above

∴ y = 2x + b

∵ b is the value of y at x = 0

∵ y = -3 at x = 0

∴ b = -3

→ Substitute it in the equation above

∴ y = 2x + -3

→ Remember (+)(-) = (-)

∴ y = 2x - 3

∴ The equation of the line is y = 2x - 3

The slope between (250,120) and (300,90)

Answers

m = − 3/ 5 your welcome

Answer:I think it's -3/5

Step-by-step explanation:mhm

Please someone help me with this! Math

Answers

Answer:

4,1

Step-by-step explanation: Due to the segment only needing a length of 4 units, if you add 4 units to your y, it will get you y=1

EXPLAIN HOW YOU GOT 3 AND 4 WITH STEPS PLS ITS URGENT

Answers

Answer:

2. x=25°

3. x=15°

4. x=26°

Step-by-step explanation:

For problem 2, we know the sum of the angles of a triangle is 180°. Also, supplementary angles are 180°.

30+20+x=180 [combine like terms]

50+x=180 [subtract both sides by 50]

x=130

Now that we have the missing angle, we can use that to solve for x.

2x+130=180 [subtract both sides by 130]

2x=50 [divide both sides by 2]

x=25°

Now, we know that x=25°.

For problem 3, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.

8x+25+2x+5=180 [combine like terms]

10x+30=180 [subtract both sides by 30]

10x=150 [divide both sides by 10]

x=15°

Now, we know that x=15°.

For problem 4, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.

x+12+52+90=180 [combine like terms]

x+154=180 [subtract both sides by 154]

x=26°

Now, we know that x=26°.

Answer:

3. x = 5 4. x = 26

Step-by-step explanation:

(2x + 5) + 8x + 25 = 180

10x +30 = 180

10x = 150

x = 15

52 + 90 + x+12 = 180

52 + 90 + 12 = 142

x + 142 = 180

x = 180 - 154

x = 26

Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down, what are the coordinates of the image?

Answers

Answer:

The coordinates of the image of point A are (-1, -6)

Step-by-step explanation:

Let us revise the rule of translation to the left, down, and reflection across the x-axis

If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)

∵ The coordinates of point A are (3, 4)

∵ It is translated 4 units left

∴ h = 4

→ By using the 1st rule above

∴ Its image is (3 - 4, 4)

∴ Its image is (-1, 4)

∵ Its is reflected across the x-axis

→ By using the 3rd rule above change the sign of its y-coordinate

∴ The new image is (-1, -4)

∵ It is translated 2 units down

∴ k = 2

→ By using the 2nd rule above

∴ The final image is (-1, -4 - 2)

∴ The final image is (-1, -6)

∴ The coordinates of the image of point A are (-1, -6).

Write and equation for a line perpendicular to 3y+15x=-12 and passing through the point (5,6)

Answers

Step-by-step explanation:

I am not sure sorry for doing it Innist need points

show your work

7(x-8)=2x-31

Answers

Answer:

x=5

Step-by-step explanation:

7 (x-8)=2x-31

Distribute the 7 to the x and -8 (basically multiple 7 with the x and -8)

7x-56=2x -31

Drag the 2x over to the other subtracting it from 7x.

7x-2x-56=-31

5x-56=-31

Drag the 56 to the other side and add it to -31

5x= -31+56 (or 56-31)

5x= 25

Divide 5x from 25 to get your X

x=25/5

x=5

Hope this helps!!

A food store makes a 10-pound mixture of peanuts, cashews, and raisins. The mixture has twice as many peanuts as cashews. Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16. How much of each ingredient did the store use to make the mixture?

I know the equations are likely

X = Peanuts

Y = Cashews

Z = Raisins

X + 2Y + 2Z = 16

2Y = X

X + Y + Z = 10

Answers

Answer:

The number of pounds peanuts = x = 4 pounds

The number of pounds cashews = y = 2 pounds

The number of pounds raisins be equal to z = 4 pounds

Step-by-step explanation:

The number pounds of the mixture = 10

Let the number of pounds peanuts = x

Let the number of pounds cashews = y

Let the number of pounds raisins be equal to z

Hence,

x + y + z = 10

The mixture has twice as many peanuts as cashews.

2y= x

= 2y + y + z = 10

= 3y + z = 10

z = 10 - 3y

Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16.

x × $1 + y × $2 × z × $2 = $16

x + 2y + 2z = 16......Equation 2

We Substitute.(2y = x), (z = 10 - 3y)

2y + 2y + 2(10 - 3y) = 16

4y + 20 - 6y = 16

20 - 16 = 6y - 4y

4 = 2y

y = 4/2

y = 2 pounds

z = 10 - 3y

z = 10 - 3(2)

z = 10 - 6

z = 4 pounds

2y= x

2(2) = x

x = 4 pounds

How much of each ingredient did the store use to make the mixture?

The number of pounds peanuts = x = 4 pounds

The number of pounds cashews = y = 2 pounds

The number of pounds raisins be equal to z = 4 pounds

Which expression is equivalent to x−2y ?

Answers

Answer:

-2y+x

Step-by-step explanation:

x-2y

-2y+x

Answer:

x+2y+x+2

=2x+2y+2

=2(x+y+1)

Step-by-step explanation:

i hope its right

What is the equation of the line through the origin and (2,5)?
A. y = 5/2x
B. y = 2/5x
C. y= 2x
D. y = 5x

Answers

Answer:A

Step-by-step explanation:

Rise over run is whats needed in the answer. Since you have a point running through the origin, the slope (5/2) is provided

Jack and Jill are saving for their first car. Jack saves $7 for
every $10 Jill saves. If Jill has $350 in her savings account,
then how much has Jack saved?

Answers

Answer:

Jack has saved $245.

Step-by-step explanation:

You divide $350 by $10, and you get 35. Then multiply Jack's $7 by 35 and you get $245!

Hope this has helped you! :)

Happy Halloween!~

In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have between 2 and 4 players. Each player can score up to 20 points in each round of the game. Han and three of his friends decided to form a team and play a round. Match each expression or inequality to the quantity that it represents.

Answers

Answer:

20 times 4

Step-by-step explanation:

Han's team has 4 players.

A perfect score is the maximum possible score. Each player can score up to 20 points in each round, so 20 points is the maximum score.

If each of the 4 players scores 20 points, then the total score for the team is:

20 *4

That is the expression for the team's points.

Answer: 20*4

A cookie contains 9 grams of fat. If you eat no fewer than 4 and no more than 7 cookies, how many grams of fat will you
consume?

compound inequality

Answers

Step-by-step explanation:

Since each cookie has 9 grams of fat, four cookies would contain 4*9 = 36 grams of fat.

Also nine cookies has 7*9 = 63 grams of fat.

So the number of grams consumed will be at least 36 and no more than 63.

The number of grams consumed will be; at least 36 and no more than 63.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that cookie contains 9 grams of fat and eat no fewer than 4 and no more than 7 cookies, then;

Since each cookie has 9 grams of fat, four cookies would be;

4 x 9 = 36 grams of fat.

Also, the nine cookies have 7 x 9 = 63 grams of fat.

Therefore, the number of grams consumed will be; at least 36 and no more than 63.

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

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Select the correct answer. Given: ∆ABC Prove: A midsegment of ∆ABC is parallel to a side of ∆ABC. Statement Reason 1. Define the vertices of ∆ABC to have unique points A(x1, y1), B(x2, y2), and C(x3, y3). given 2. Let D be the midpoint of and E be the midpoint of . defining midpoints 3. definition of midpoints 4. slope of slope of definition of slope 5. slope of = slope of Transitive Property of Equality 6. definition of parallel lines 7. Let F be the midpoint of . defining a midpoint 8. definition of midpoint 9. slope of slope of definition of slope 10. 11. definition of parallel lines 12. Similarly, is parallel to . steps similar to steps 1−11 What is the missing step in this proof? A. Statement: slope of = slope of Reason: definition of slope B. Statement: slope of = slope of Reason: Transitive Property of Equality C. Statement: DF = BC Reason: Corresponding sides of congruent triangles are congruent. D. Statement: ∆ADF ≅ ∆ABC Reason: ASA

Answers

Answer:

B) Statement: slope of df = slope of bc

Reason: Transitive Property of Equality

Step-by-step explanation: i just took the test.

Answer:

C. Transitive Property of Equality

Step-by-step explanation:

Sketch the graphs:y =1/3x + 2

Answers

Answer:y

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Slope:

y-intercept:

Any line can be graphed using two points. Select two

values, and plug them into the equation to find the corresponding

values.

Tap for more steps...

Graph the line using the slope and the y-intercept, or the points.

Slope:

y-intercept:

2xy0233

A package of 4 pairs of insulated socks costs $22.36 . What is the unit price of the pairs of socks ?

Answers

Answer:

5.59

Step-by-step explanation:

22.36/4 = 5.59

hope this helps!

is so eassy 2 puls 2

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Based on the results of student voting shown here, which number completes this headline for the school newspaper?

Only_____ % of Students Voted for Hearts and Flowers Theme for Spring Dance

Answers

Answer:

Step-by-step explanation:

just took the box/ test

evaluate 24−8x when x=−2

Answers

Your answer is gonna be 8

Answer:

Step-by-step explanation:

Rewrite in simplest terms: -7(2u-6v)-7v-3(10v+u)

Answers

Answer:

11v+35v-30

Step-by-step explanation:

A tennis racket normally cots $70. The tennis racket is on sale for 40% off. What is the sale price of the tennis racket?

Answers

Answer:

$42

Step-by-step explanation:

Answer:

$42

Step-by-step explanation:

To find the sale price of the tennis racket, multiply the original price by 0.6:

70(0.6)

= 42

So, the sale price of the tennis racket is $42

Solve the equation: 9 - 4x = 17

A.X = 4
b.X=-4
C.X = 2
D.X = -2

Answers

Answer:

x= -2

Step-by-step explanation:

so D is the answer

Answer:

[tex]\boxed {x = -2}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]9 - 4x = 17[/tex]

-Subtract both sides by [tex]9[/tex]:

[tex]9 - 9 - 4x = 17 - 9[/tex]

[tex]-4x = 8[/tex]

-Divide both sides by [tex]4[/tex]:

[tex]\frac{-4x}{-4} = \frac{8}{-4}[/tex]

[tex]\boxed {x = -2}[/tex]

Therefore, value of [tex]x[/tex] is [tex]-2[/tex].

Can someone please help me asap I’ll mark brainlist!!!!!

Answers

Answer:

No because the aren’t equalll

Step-by-step explanation:

Is this ggod

Answer:

Step-by-step explanation:

32/4 = 8

72/10 = 7.2

Is the expression 42 undefined? If not, find
the quotient.
-7

Answers

Answer:

-6*-7=42 wdym as in undefined

Step-by-step explanation:

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