Solve the equation 6(2x + 4)2 = (2x + 4) + 2.

Answers

Answer 1

Answer:

-21/11

Step-by-step explanation:

Answer 2

Intro:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

First I would distribute what I can...

[tex]6(2x+4)2=(2x+4)+2\\24x+48=2x+4+2[/tex]

Now we combine like terms...

[tex]24x+48=2x+6[/tex]

Subtract 2x from both sides...

[tex]22x+48=6[/tex]

Subtract 48 from both sides...

[tex]22x=-42[/tex]

Divide both sides by 22...

[tex]x=-\frac{21}{11}[/tex]

So the answer is [tex]-\frac{21}{11}[/tex]


Related Questions

How do you find range and domain

Answers

Answer:

another way to identify the domain and range of functions is by using graphs. because the domain refers to the set of possible input values z the domain of a graph consists of all the input values shown on the x-axis. the range is the set of possible output values, which are shown on the y-axis.

*EXTRA POINTS PLEASE ANSWER* What is the slope and y-intercept in the equation y = x - 4. *

Answers

Answer:

slope: 1

y-intercept : (0, -4)

Step-by-step explanation:

hope this helps! :D

Answer:

x-intercept(s): (4,0)

y-intercept(s): (0,-4)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

A. Corresponding angles

B.Same side interior angles

C. Alternate exterior angles

D. alternate interior angles

Answers

Answer:

Alternate exterior angles

What is the equation of the line with a slope of 2/3 and a y-intercept of 4?

Answers

Answer:

y = 2/3x + 4

Step-by-step explanation:

The shampoo Eva likes to use costs $6 for a 24-ounce bottle. The conditioner she likes to use costs $12 for a 30-ounce bottle. How much more per ounce does her conditioner cost than her shampoo? $ per ounce

Answers

Answer:

0.15

Step-by-step explanation:

6 divided by 24 equals 0.25

12 divided by 30 equals 0.4

0.4 minus 0.25 is 0.15

$0.15 more per ounce does her conditioner cost than her shampoo.

Given that, the shampoo Eva likes to use costs $6 for a 24-ounce bottle.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

The conditioner she likes to use costs $12 for a 30-ounce bottle.

Cost of shampoo per ounce =Total cost/Number of ounce

= 6/24

= $0.25 per ounce

Cost of conditioner per ounce =Total cost/Number of ounce

= 12/30

= $0.4 per ounce

Difference =0.4-0.25

= $0.15

Therefore, $0.15 more per ounce does her conditioner cost than her shampoo.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Plz help with this question

Answers

Answer:

A

Step-by-step explanation:

Given

6 ([tex]\frac{x}{2}[/tex] + 4) ≥ 9 ( distribute the parenthesis by 6 )

3x + 24 ≥ 9 ( subtract 24 from both sides )

3x ≥ - 15 ( divide both sides by 3 )

x ≥ - 5 → A

Answer:

A

Step-by-step explanation:

First, divide both sides by 6:

6(x/2 + 4) ≥ 9

x/2 + 4 ≥ 9/6

x/2 + 4 ≥ 3/2

Now, subtract 4 from both sides:

x/2 ≥ 3/2 - 4

x/2 ≥ -5/2

Finally multiply both sides by 2:

x ≥ (-5/2) * 2

x ≥ -5

The answer is thus A.

~ an aesthetics lover

help pls ?? it’s confusing

Answers

Answer:

2x+24+4x+36=180

6x+60=180

6x=180-60

6x=120

x=120/6

x=20

So <KPL=64 AND <JPL=116

Answer:

KPL = 64 JPL = 116

Step-by-step explanation:

This is a straight angle, meaning this angle will equal 180 degrees.

They give you two parts of this angle, which is (2x+24) and (4x+36)

All you have to do is add them and set this equal to 180.

So when you add 2x+24+4x+36=180 that equals 6x+60=180

Do the algebra, subtract 60 on both sides.

180-60=120

Now divide 6 on both sides.

120/6 = 20

Great, so now solved x. To find the angles, we must plug them in.

2(20)+24= 64

4(20)+36= 116

So your answer should be

KPL = 64 and JPL = 116.

This is correct because when you add these results together, you get 180.

What is the population growth rate of a country with an initial population of 100 million and a
population of 500 million 60 years late?
a. 02%
b. 1.2 %
c 2.1%
d. 2.7%

Answers

Answer:

its answer C 2.1%

Step-by-step explanation:

A computer store is having a clearance sale. All items are discounted by 35%. What is the sale price of a disc drive that regularly costs $40?

Answers

The Answer is probably $3

Answer:

$14

Step-by-step explanation:

I need help with this please!!

Answers

Answer:

The correct choices would be A, C, D & F. Correct me if I'm wrong :)

Help plz due soon IDK what to do

Answers

how to find slope

its not that clear for me to solve but i can tell you how to solve and you fill the numbers in... sry

(x1,y1) (x2,y2) - find two different points

y2-y1/x2-x2=slope of the line

or

to find it you can do the rise divided by the run

im sry if this doesnt help :(

9514 1404 393

Answer:

  -2/3

Step-by-step explanation:

First, you find places where the graphed line crosses grid intersection points. One obvious choice is the point (0, 0), since the line goes through the origin. (Here, we wanted to avoid interference with our notations by the axis labels, so we chose points away from the origin.)

Then, you draw a right triangle with the two points you found as ends of the hypotenuse. Use grid lines for the legs of the triangle. For purposes of "rise" and "run", it is convenient to draw the triangle to the right of the graphed line.

The "rise" is the vertical distance between the grid crossings. In this graph, that is -2 units. The sign is negative because the right-most point is below the left-most point.

The "run" is the horizontal distance between grid crossings. In this graph, that is 3 units. If you have drawn the triangle to the right of the graphed line, that will be +3 units.

So, the slope is the ratio of "rise" to "run":

  m = rise/run = slope = -2/3

John Henry took his sons to lunch and the total amount of the check was $42.80. He wants to leave a 20% tip. What will be the total amount he will spend? ​

Answers

Answer:

$42.80    check

   x.20     tip

 $8.56

Then add the the total check $42.80 +$8.56 = $51.36 John will spend

Step-by-step explanation:

to find the tip multiply the total by the tip

if 10%  x it by .10

if 16%  x it by .16

if 25 % x it by.25 and so on then add that to the total of the bill

Answer:

See below.

Step-by-step explanation:

Divide to turn the percentage into decimal form.

[tex]\frac{20}{100} =.20[/tex]

Multiply the percentage by the amount.

[tex]42.80*.20=8.56[/tex]

Add them together.

[tex]42.80+8.56=51.36[/tex]

Answer: [tex]51.36[/tex]

:)

hi so I need help with my math the question says use the long division algorithm to find the decimal value of the fraction -1/4​

Answers

Answer:

uhm well I'm not sure what you mean by algorithm but just think it like this :

Step-by-step explanation:

think of 1/4 as a quarter and it says the negative

so -.25

-2 ( 1/4x + 2) > or equal to 5

Answers

-2(1/4x+2) >= 5
-0.5x-4 >= 5
-0.5x >= 9
x >= -18

Suppose that the function LaTeX: f(x) f ( x ) is shifted horizontally to the right by LaTeX: a a , reflected across the LaTeX: x x -axis, and shifted vertically down by LaTeX: b b to become the function LaTeX: g(x) g ( x ) . Write the function LaTeX: g(x) g ( x ) in terms of LaTeX: f(x) f ( x ) and explain each of the shifts

Answers

Answer:

[tex]g(x) = (x-a,-y - b)[/tex]

Step-by-step explanation:

Given

Represent f(x) as follows:

[tex]f(x) = (x,y)[/tex]

Transformations:

Horizontally shifted right by a

Reflected across x axis

Vertically shifted down by b

Taking the transformations one after the other.

Horizontally shifted right by a

When a function is shifted right, the resulting function is:

[tex]f' = (x-a,y)[/tex]

Reflected across x axis

Here, the x axis remains unaltered while the y axis is negated

[tex]f' = (x-a,y)[/tex]

becomes

[tex]f" = (x-a,-y)[/tex]

Vertically shifted down by b

When a function is shifted down by b, the resulting function is:

[tex]f"' = f" - b[/tex]

i.e, subtract b from the function (f(x) or y, as the case may be)

So, we have:

[tex]f"' = (x-a,-y - b)[/tex]

Represent f"' with g(x)

[tex]g(x) = (x-a,-y - b)[/tex]

what is the answer for −3x−6+(−1)

Answers

Hi it would be -9x-1 hope that helps

Answer:

-3x-7

Step-by-step explanation:

Combine like terms

-6+-1 = -6-1 = -7

Hence, it's -3x-7

Find the equation of the line of the below:

Answers

Answer:

y = -x + 9

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

(0, 9) y-intercept

(9, 0) x-intercept

Step 2: Find slope m

[tex]m=\frac{0-9}{9-0}[/tex]

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

[tex]m=-1[/tex]

y = -x + b

Step 3: Write linear equation

y = -x + 9

Answer:

y = -x + 9

Step-by-step explanation:

Slope Formula:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

(0, 9) y-intercept

(9, 0) x-intercept

Step 2: Find slope m

y = -x + b

Step 3: Write linear equation

y = -x + 9

please help find the slope!!

Answers

Answer:

undefined

Step-by-step explanation:

I don't know if it's correct or not. But hope it is

Answer:

-7

Step-by-step explanation:

The slope is y/x and y in this case equals -7 while x is +1 so it's -7/1 or just -7

help me out and i will give u brainliest

Answers

Answer:

Compound: -2≤X<5

Conjunction: ≤ or <

Step-by-step explanation:

When the dot is filled it is a ≤ or ≥

When the dot isn't filled its a < or >

-4 is on the left and 5 is on the right

The area of a square garden is 9ft. How long is each side of the garden

Answers

The length of each side of the square garden is 3ft.

What is a square?

A square is a quadrilateral with four equal straight sides and four right angles.

To find the area of a square garden, multiply two equal sides.

The area is the space of a two-dimensional line.

To find the length of each side of a square garden, compute the squared root of the area.

Area of the square garden = 9 ft

Length of each side = √9

= 3 feet

Thus, each side of the garden has 3 ft.

Learn more about the area, length, and width at https://brainly.com/question/25292087

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HELP pleaseee i’m beggingggg

Answers

Answer:

35 1/3°54 2/3°

Step-by-step explanation:

Angle AOB and BOC create a complementary angle. This means when two angles sum up to 90°. We can write an equation for this problem;

(x + 8) + 2x = 90

~Remove parenthesis

x + 8 + 2x = 90

~Combine like terms

3x + 8 = 90

~Subtract 8 to both sides

3x = 82

~Divide 3 to both sides

x = 82/3 or x = 27 1/3

Use what have for x to solve for the angle measures.

Angle AOB:

x + 8

(27 1/3) + 8

35 1/3°

Angle BOC:

2x

2(27 1/3)

54 2/3°

Check.

35 1/3 + 54 2/3 = 90°

Best of Luck!

k/4 + 3 = 14

k= ?


k equals what

Answers

Answer:

Step-by-step explanation:

[tex]\frac{k}{4} + 3 = 14[/tex]

Subtract 3 from both sides

[tex]\frac{k}{4} = 14 - 3 \\\frac{k}{4} = 11[/tex]

Multiply both sides by 4 to find k.

k = 11 x 4 = 44

An eagle takes off from the top of a cliff that is 125 meters high and flies upward. After t seconds, the height at which the eagle is flying is given by the equation h(t) = 125 + 1.25t2 where t is in seconds. Find the instantaneous velocity of the eagle at t = 3 seconds. Round your answer to one decimal place.

Answers

Answer:

The instantaneous velocity of the eagle at the given time is  7.5 m/s.

Step-by-step explanation:

Given;

height of the cliff, h = 125 m

the height at which the eagle is flying, h(t) = 125 + 1.25t²

The velocity of the eagle is given by;

v = dh/dt

v = 2.5t

The instantaneous velocity of the eagle at t = 3 seconds is given by;

v = 2.5(3)

v = 7.5 m/s

Theerefore, the instantaneous velocity of the eagle at t = 3 seconds is  7.5 m/s.

A line is represented by the equation y=3x+5. what are the coordinates

Answers

The 3x is the x axis and the y is 5 so it would be (3,5).

What is a swing state?
A
A state in which two major political parties have similar levels of support
B.
a state that has a large number of electoral votes
C
a state that historically votes for one of the minor political parties
D
a state that hosts the national convention for a political party

Answers

Answer:

swing state

noun

a US state where the two major political parties have similar levels of support among voters, viewed as important in determining the overall result of a presidential election.

Step-by-step explanation:

divide 1/4 / 2/3
help

Answers

Step-by-step explanation:

1/4 / 2/3

= 1/4÷2/3

= 1/4 ×3/2 ( reciprocal 2/3)

=3/8

this is the answer

Solve for : x
6x+34+ 8x+14
my last one please helpp

Answers

Answer:

x = 10

Step-by-step explanation:

8x + 14 = 6x + 34  (vertically opposite angles are equal)

Rearrange

2x = 20

x = 10

Answer:

x=10

Step-by-step explanation:

So we know that they are equal to each other.

so 6x+34=8x+14

-6x

34=2x+14

-14

20=2x

/2

x=10

CAN SOMEONE PLZ HELP ASAP
You can use what you know about coordinates of transformations. You can map figure ABCD onto figure EFGH using two transformations. A rotation faces figure ABCD in the same direction as figure EFGH. Dilation reduces the image.

Answers

Answer:

EFGH

(-1, 1)

(-1, 2)

(2, 2)

(1, 1)

Step-by-step explanation:

if Both rotating in the same way, then EfGH is gonna go the other way. (sorry if its wrong, i'm learning this too)

Cory, Josh and Dan went shopping for Halloween treats. Cory bought 3 chocolate pumpkins, 4 masks and 8 candy witches. He spent $36.65. Josh bought 5 chocolate pumpkins,3 masks and 10 candy witches. He spent $37.50. Dan bought 4 chocolate pumpkins, 5 masks and 6 candy witches. He spent $43.45. Write a system of equations to represent this problem.

Answers

Answer:

[tex]\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.[/tex]

Step-by-step explanation:

System of equations

Let's set the following variables:

x=Price of chocolate pumpkins

y=Price of masks

z=Price of candy witches

We'll establish the system of equations needed to know the prices of all the Halloween treats.

Cory bought 3 chocolate pumpkins, 4 masks, and 8 candy witches and he spent $36.65. This leads to the following equation:

[tex]3x+4y+8z=36.65\qquad\qquad [1][/tex]

Josh bought 5 chocolate pumpkins, 3 masks, and 10 candy witches and he spent $37.50. This leads to the following equation:

[tex]5x+3y+10z=37.50\qquad\qquad [2][/tex]

Dan bought 4 chocolate pumpkins, 5 masks, and 6 candy witches and he spent $43.45. This leads to the following equation:

[tex]4x+5y+6z=43.35\qquad\qquad [3][/tex]

Collecting the equations [1] [2] [3], we form the system of equations to represent this problem:

[tex]\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.[/tex]

Mr. Atkinson has 5.25 lb of dry fish food. He will put an equal amount of food into 3 containers. How much fish food will be in each container?

Answers

Answer:

1.75 lbs

Step-by-step explanation:

5.25/ 3 = 1.75

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