| 4x-13 | = 5x+4
Solve

Answers

Answer 1

Answer:

x = 1

Step-by-step explanation:

The absolute value always gives a positive value. However, the expression inside can be positive or negative , so

4x - 13 = 5x + 4 ( subtract 4x from both sides )

- 13 = x + 4 ( subtract 4 from both sides )

- 17 = x

OR

- (4x - 13) = 5x + 4 , simplify left side

- 4x + 13 = 5x + 4 ( subtract 5x from both sides )

- 9x + 13 = 4 ( subtract 13 from both sides )

- 9x = - 9 ( divide both sides by - 9 )

x = 1

As a check

Substitute these values into the equation and if both sides are equal then they are solutions.

x = - 17

left side = | 4(- 17) - 13 | = | - 68 - 13 | = | - 81 | = 81

right side = 5(- 17) + 4 = - 85 + 4 = - 81 ≠ 81

Then x = - 17 is an extraneous solution

x = 1

left side = | 4(1) - 13 | = | 4 - 13 | = | - 9 | = 9

right side = 5(1) + 4 = 5 + 4 = 9

Then solution is x = 1


Related Questions

in the quadratic equation, what is the value, a, in order to form a perfect square x^2-8x+a=0;

Answers

Answer:

16

Step-by-step explanation:

x² - 8x + 16 will become ( x - 4 ) ( x - 4 ) or ( x - 4 )²

PLSSS HLEPP ME OUTT ITS URGENTTTT​

Answers

Answer:

3

Step-by-step explanation:

[tex]\sqrt{133225} =365[/tex]

Answer:

365

Step-by-step explanation:

√133225 = 365

(365 × 365 = 133225)

Hope this helps!

Date 3) Paula baked two batches of chocolate chip cookies. She used 3 cups of flour for the first batch of cookies and 2 cups for the second batch. What fraction of flour was used to make the first batch of cookies?​

Answers

Answer:

3/2

Step-by-step explanation: I took the test

Suppose f(x) = 5x - 4. Describe how the graph of g compares with the graph of f.
g(x)=f(x) + 12
IDEE
Select the correct choice below, and fill in the answer box to complete your choice.
O A. g(x) has a scale factor of compared to f(x). Because it scales the horizontal direction, the graph is stretched horizontally.
OB. The graph of g(x) is translated unit(s) to the left compared to the graph of f(x).
OC. The graph of g(x) is translated unit(s) down compared to graph of f(x).
OD. g(x) has a scale factor of compared to f(x). Because it scales the vertical direction, the graph is stretched vertically.
O E. g(x) has a scale factor of compared to f(x). Because it scales the horizontal direction, the graph is compressed horizontally.
O F. g(x) has a scale factor of compared to f(x). Because it scales the vertical direction, the graph is compressed vertically.
O G. The graph of g(x) is translated unit(s) to the right compared to the graph of f(x).
O H. The graph of g(x) is translated unit(s) up compared to graph of f(x).

Answers

The graph of g(x) and f(x) are related by the given equation g(x) = f(x) + 12,

therefore, the ordered pair of the graph of g(x) is (f(x) + 12, x).

The choice that correctly describes how the graph of g(x) compares with f(x)

is the option; H. The graph of g(x) is translated unit(s) up compared to graph

of f(x).

Reasons:

The given function is f(x) = 5·x - 4

The function g(x) = f(x) + 12

Required:

To select the correct choice from the given options

Solution:

The difference between f(x) and the required function, g(x), is the addition

of a constant positive value of 12 to the function f(x).

Therefore, each f(x) output value is further increased by 12 to obtain the

graph of g(x), which gives;

The graph of g(x) is translated 12 units up compared to the graph of f(x),

which corresponds with the option H.

Learn more here:

https://brainly.com/question/15938361

Can anyone help with this equation? PLS
I need this for right now!

Answers

Answer: [tex]5^{3}[/tex]

Step-by-step explanation:

Hayami was riding her bike on a loop that is 15/16 mile long. she rode for 3/4 mile and then stopped to rest she rode another 1/8 mile and then has a flat tire. how far does Hayami have to walk her bike to complete the loop?

A.1/16 mile
b.1/32
c. 3/16
d. 1/8

Answers

1/16 mile

3/4 = 12/16

1/8 = 2/16

12/16 + 2/16 = 14/16

1/16 Mile left to walk

Hayami has to walk her bike Option A) 1/16 mile to complete the loop.

Hayami rode a total of 3/4 + 1/8 = 7/8 mile before getting a flat tire. To complete the loop, she needs to cover the remaining distance of the loop, which is

= 15/16 - 7/8

= 15/16 - 14/16

= 1/16 mile.

Thus, Hayami has to walk her bike 1/16 mile to complete the loop. Therefore, the correct answer is 1/16 mile.

To find out how far Hayami has to walk her bike to complete the loop, we need to calculate the remaining distance after she rode her bike before stopping for a rest and getting a flat tire.

1. First, we calculate the distance Hayami rode before stopping for a rest:

  She rode 3/4 mile.

2. Then, we calculate the distance she rode after stopping for a rest but before getting a flat tire:

  She rode 1/8 mile.

3. Now, let's find out the total distance she rode:

  = 3/4 + 1/8

  = 6/8 + 1/8

  = 7/8 mile.

4. The length of the loop is \(15/16\) mile.

5. To find the remaining distance to complete the loop, subtract the distance she rode from the total loop length:

  = 15/16 - 7/8

  = 15/16 - 14/16

  = 1/16 mile.

6. Therefore, Hayami has to walk her bike 1/16 mile to complete the loop.

In conclusion, the correct answer is 1/16 mile (Option A).

To know more about Distance here

https://brainly.com/question/28747400

#SPJ3

Complete Question

Choose the correct answer from the given options:

Hayami was riding her bike on a loop that is 15/16 mile long. she rode for 3/4 mile and then stopped to rest she rode another 1/8 mile and then has a flat tire. how far does Hayami have to walk her bike to complete the loop?

A.1/16 mile

b.1/32 mile

c. 3/16 mile

d. 1/8 mile

Where is the velocity positive?
х
C D
E
B
А
F G
A. B-E
B. C-D
C. A-C
D. B & E

Answers

Answer:

A-C

Step-by-step explanation:

Positive velocity means the graph is going up. Hope it helps!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Which is the image of P(3, 0) after a counterclockwise rotation of 90⁰ about (2, 4)?

Answers

Answer:

(6 , 5)

Step-by-step explanation:

Foundation Geometry
midpoint of AC

A. 18
B. 6
C.27
D.54

Answers

Answer:

D

Step-by-step explanation:

Since B  is the midpoint of AC , then

AB = BC , substitute values

4x + 3 = 3x + 9 ( subtract 3x from both sides )

x + 3 = 9 ( subtract 3 from both sides )

x = 6

Then

AC = AB + BC

     = 4x + 3 + 3x + 9

     = 7x + 12

     = 7(6) + 12

     = 42 + 12

    = 54 → D

literally can no one help, i said id give brainliest and anything u need, i jst want all of it answered

Answers

A) She received the discount during January but not February.

B) $94.98

C) The equation is 394.94 = 59.99x + 34.99y, where x is the number of months she had membership and visited less than 12 times, and y it’s the number of months she had membership while going 12 or more times.

Find the area use 3.14 for pi

Answers

Answer:

15.14 cm^2

Step-by-step explanation:

Area of rectangle = 4cm x 3 cm = 12cm^2

Radius of the circle = 2 cm

Area of 1/4 of a circle = (pi x r^2) / 4

= (3.14 x 4) / 4 = 3.14 cm^2

3.14 cm^2 + 12cm^2 = 15.14 cm^2

One fifth of the difference of a number and 1?

Answers

If you are asking for that to be in expression form, that would be:

1/5(x-1)

Let x be the number.

Answer: The expression that models this situation is given by:

x-1/5

---------------------------

The number is unknown, so it is called x.

The difference between 3 and 2 is 3 - 2 = 1, between 10 and 5 is 10 - 5 = 5, and so on. Thus, the difference between a number and 1 is x - 1.

One fifth of a number is the number divided by 5. Thus, in this context, the expression that represents one fifth of the difference of a number and 1 is given by:

x-1/5

There’s another problem that has the same question at this link:

https://brainly.com/question/20742606

NEED help asap please find the percentage

Answers

Hope this helps, have a nice day!!

Consider the line y=-1/2x+9
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

Answer:

Parallel line: - 1/2

Perpendicular line: 2

Step-by-step explanation:

Which criterion, if any, could prove the triangles are congruent?

Answers

Answer:

ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal.

So A

Explanation: If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent

simplifiy the given epression
(-3.2)^0

Answers

Answer:

(-3.2)^0 = 1

Step-by-step explanation:

Anything to the power of 0 equals 1.

Answer:

1

Step-by-step explanation:

Any number raised to a power of 0 is equal to 1.

[tex]\bf \cfrac{5}{8}+\cfrac{3}{8}[/tex]

Answers

Answer:

The answer is 1

Step-by-step explanation:

what is 0.25+1/8+24+60=

Answers

Answer:

84.375 or 675/8

Step-by-step explanation:

The price of a baseball card began at $5.00. A collector marked the price up 500% and is reselling the card online. What is the new sales price of the baseball card?

Answers

Answer:

25.00

Step-by-step explanation:

5.00 x 500% = 25

can someone answer this?

Answers

Answer:

324 ft²

Step-by-step explanation:

Given 2 similar figures with ratio of sides a : b , then

ratio of areas = a² : b²

Here ratio of sides = 3 : 18 = 1 : 6

ratio of areas = 1² : 6² = 1 : 36

That is the area of the larger parallelogram is 36 times the smaller

area of larger parallelogram = 36 × 9 = 324 ft²

lim x tends to a {x^7-a^7/x^3-a^3]

Answers

Answer:

thank you very much

1235÷722

Write an equation that represents a discount of 18% on a retail price of $55. Let p represent the new price.

Enter the correct answer in the box.

Answers

[tex]\boxed{\tt{55(55-0.18)=pA}}[/tex]

In January, 1950, the minimum wage was $.75. What should the minimum
wage be in July, 2009?

Answers

Answer:

On July 24, 2009, the federal minimum wage will increase to $7.25 per hour. This is the final step of a three-step increase passed in 2007 when the minimum wage was only $5.15. In this last step, about 4.5 million workers will receive a raise, providing an additional $1.6 billion annually in increased wages. However, when adjusted for inflation, the new federal minimum is still less than the minimum wage through most of the period from 1961 to 1981.

Step-by-step explanation:

Simplify by collecting like terms
r^+5r+3r^-2r

By the way
^= square

Ill also attach a photo, thankssss!

Answers

Answer:

Step-by-step explanation:

Like terms have same variable with same power.

r² + 5r + 3r² - 2r = r² + 3r² + 5r - 2r

                          = 4r² + 3r

Mr. Fullerton sold half of his “Captain Underpants” comic books and then bought sixteen more. He now has 36 “Captain Underpants” all together. How many comic books did he begin with?

Answers

Answer:

40 comic books

Step-by-step explanation:

36-16=20

20×2=40

Please help first person to answer correctly with no links get 50 points and marked as brainliest no links please

Answers

Answer:

C, first I'm not sure if it's correct, but hear me out.

Step-by-step explanation:

If we already know that B=34 we need to find out the rest.

B=50 (Estimated)

D=45 (Estimated)

34+50+45

34+50=84+45=129, 129 estimated=130, and since their is no answer choice but C it should be C, I could be very wrong though.

Find the missing angles

Answers

Step-by-step explanation:

<3 = 47°, alternate angle.

<2 = 52° , alternate angle.

<5=180-47-52=81°, linear pair.

<1= 180-52=128°, alternate angle, linear pair.

<4= 180-47= 133°, alternate angle, linear pair.

hope this helps you.

Help help Help help Help help Help help Help help Help help Help help Help help Help help Help help

Answers

Medkushd hahah sooryyyyy

Find the distance between parallel lines whose equations are y = x - 6 and y = x + 8.

Answers

Answer:

14

Step-by-step explanation:

Distance between y2 = x + 8 and y1 = x - 6

y2 - y1 = (x + 8) - (x - 6) = 14

What were two impacts of the first great depression?

help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1: unemployment (more homeless people)

2: House prices rose down drastically by 70%.

(My sources: TheBalance.com)

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