6. – 4y + 8x = 32 for y

Answers

Answer 1

Answer:

The answer is: y=2x−8

Step-by-step explanation:

Step 1: Add -8x to both sides.

8x−4y+−8x=32+−8x

−4y=−8x+32

Step 2: Divide both sides by -4.

−4y−4=−8x+32−4

y=2x−8

Answer 2

Answer:

Step-by-step explanation:

-4y + 8x = 32

⇔ -4y = 32 - 8x

⇔ y = [tex]\frac{32 - 8x}{-4}[/tex]

⇔ y = [tex]\frac{8*(4-x)}{-4}[/tex]

⇔ y = -2*(4-x)

⇔ y = -8 + 2x

⇔ y = 2x -8


Related Questions

What is the domain of the functions below:

y=5x / |x-1|+1
(The / symbol is a fraction)

Answers

Answer:

domain is all real numbers

Given that f(x) = x2 – 3x – 54 and g(x) = x + 6, find (f.g)(x) and
express the result in standard form.

Answers

Answer:

You just plug it in

Step-by-step explanation:

Hopefully this helped, if not HMu and I will try to get you a better answer

-Have a great day!  :)

Which statement is true about this equation? y=2x+4

Answers

Step-by-step explanation:

C. is the right answer

It is a function only.

Answer:

C

Step-by-step explanation:

PLATO

20. Solve the equation.
6x = 30

Answers

divide 6x and 30 by 6. You’ll be left with x=5.

Answer:

x=5

Step-by-step explanation

6*5= 30

30/6=5

The equation for the graph of A is
.

The equation for the graph of B is
.

The equation for the graph of C is
.

The equation for the graph of D is
.

Answers

A: y = x²

B: y = -x

C: y = x

D: y = -x²

:)

A total of 165 people attended the opening night of a school play. Adults were charged $6, and children were charged $2. The total amount of money collected was $618. Which augmented matrix represents the situation?

Answers

Answer:

answer is B

or

[  6  2  |  618  ]

[  1  1  | 165  ]

Step-by-step explanation:

did the test and got it right

The augmented matrix represents the situation is given as, [tex]\begin{bmatrix}6 & 2 | & 618 \\1 & 1 |& 165 \\\end{bmatrix}[/tex]. Then the correct option is B.

What is the matrix?

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

Let x be the number of the adults and y be the number of the children.

Adults were charged $6, and children were charged $2.

The total amount of money collected was $618.

6x + 2y = 618

A total of 165 people attended the opening night of a school play.

x + y = 165

The equation can be written in the form of matrix form. Then

[tex]\begin{bmatrix}6 & 2 | & 618 \\1 & 1 |& 165 \\\end{bmatrix}[/tex]

Then the correct option is B.

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• Davis has $38 and wants to purchase heirloom tomatoes for a
Labor Day recipe. These heirloom tomatoes cost $2 a piece and
can be found at an exclusive farmer's market. Admission to the
farmer's market costs $10. How many tomatoes can Davis
purchase?

Answers

He can buy 14 tomatoes

Answer:

complete this sentence 8,3,2,7

Solve
In (x + 3) = In 10 - In x

Answers

Answer:

x = 7

Step-by-step explanation:

(x+3)=10

10 - 3 = 7

(7+3)=10

Answer:

x = 7

Step-by-step explanation:

x + 3 = 10

=> x = 10 - 3

=> x = 7

Y = .6x + 12 What are four coordinates on the graph?
thanks!

Answers

Answer:

(2,24) (1,18) (3,30) (4,36)

Step-by-step explanation:

solve:
2/3x+15=17

3x+8-x=7

4(2x-6)=2

Answers

Answer:

x = 3

x = (-1)/2

x = 13/4

Step-by-step explanation:

Solve for x:

(2 x)/3 + 15 = 17

Put each term in (2 x)/3 + 15 over the common denominator 3: (2 x)/3 + 15 = (2 x)/3 + 45/3:

(2 x)/3 + 45/3 = 17

(2 x)/3 + 45/3 = (2 x + 45)/3:

1/3 (2 x + 45) = 17

Multiply both sides of (2 x + 45)/3 = 17 by 3:

(3 (2 x + 45))/3 = 3×17

(3 (2 x + 45))/3 = 3/3×(2 x + 45) = 2 x + 45:

2 x + 45 = 3×17

3×17 = 51:

2 x + 45 = 51

Subtract 45 from both sides:

2 x + (45 - 45) = 51 - 45

45 - 45 = 0:

2 x = 51 - 45

51 - 45 = 6:

2 x = 6

Divide both sides of 2 x = 6 by 2:

(2 x)/2 = 6/2

2/2 = 1:

x = 6/2

The gcd of 6 and 2 is 2, so 6/2 = (2×3)/(2×1) = 2/2×3 = 3:

Answer:  x = 3

______________________________________________________

Solve for x:

3 x - x + 8 = 7

Grouping like terms, 3 x - x + 8 = (3 x - x) + 8:

(3 x - x) + 8 = 7

3 x - x = 2 x:

2 x + 8 = 7

Subtract 8 from both sides:

2 x + (8 - 8) = 7 - 8

8 - 8 = 0:

2 x = 7 - 8

7 - 8 = -1:

2 x = -1

Divide both sides of 2 x = -1 by 2:

(2 x)/2 = (-1)/2

2/2 = 1:

Answer: x = (-1)/2

_______________________________________

Solve for x:

4 (2 x - 6) = 2

Divide both sides of 4 (2 x - 6) = 2 by 4:

(4 (2 x - 6))/4 = 2/4

4/4 = 1:

2 x - 6 = 2/4

The gcd of 2 and 4 is 2, so 2/4 = (2×1)/(2×2) = 2/2×1/2 = 1/2:

2 x - 6 = 1/2

Add 6 to both sides:

2 x + (6 - 6) = 1/2 + 6

6 - 6 = 0:

2 x = 1/2 + 6

Put 1/2 + 6 over the common denominator 2. 1/2 + 6 = 1/2 + (2×6)/2:

2 x = 1/2 + (2×6)/2

2×6 = 12:

2 x = 1/2 + 12/2

1/2 + 12/2 = (1 + 12)/2:

2 x = (1 + 12)/2

1 + 12 = 13:

2 x = 13/2

Divide both sides by 2:

x = (13/2)/2

2×2 = 4:

Answer: x = 13/4


Eight less than four times a number is less than 56. What are the possible values of that number?

Answers

Answer:

x≥-12

{-12,∞}

Step-by-step explanation:

8-4x ≤ 56

-4x≤48

x≥-12

{-12,∞}

Angle P and angle Q are supplementary angles. If the measure of angle Q is 64, find the measure of angle P.

Answers

Answer:

soln

angle Q = 64

We know that supplementary angle = 180

Now,

angle P + angle Q = 180

now put the value and solve the equation ok!

Answer two questions about Equations
A
AA and
B
BB:
A
.
3
(
x
+
2
)
=
18
B
.
x
+
2
=
6

A.
B.




3(x+2)
x+2


=18
=6


1) How can we get Equation
B
BB from Equation
A
AA?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Add/subtract the same quantity to/from both sides

(Choice B)
B
Add/subtract a quantity to/from only one side

(Choice C)
C
Multiply/divide both sides by the same non-zero constant

(Choice D)
D
Multiply/divide only one side by a non-zero constant

Answers

The correct option will be option C: Multiply/divide both sides by the same non-zero constant.

How to solve the linear equation of one variable?

Step-1: we have to balance each side by simplifying the equation

Step-2: add/subtract constant term on both sides of the equation to separate variable and constant term on both sides

Step-3: divide the coefficient of the variables on both sides.

So according to the question,

the given equations are:

AAA: 3(x+2)=18

BBB: x+2=6

We have to find a way from equation AAA to Equation BBB

from the above equation, it is clear BBB is factor AAA.

to get BBB from equation AAA, we have to just divide 3 on both sides of the equation AAA.

Therefore option C will be correct as 3 is a non-zero constant. we have to divide both sides by this same non-zero constant.

Therefore The correct option will be option C: Multiply/divide both sides by the same non-zero constant.

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what is the name of the type of number you get when you find square root of a negative number ?

Answers

Unit Imaginary Number
The square root of minus one √(−1) is the "unit" Imaginary Number, the equivalent of 1 for Real Numbers. In mathematics the symbol for √(−1) is i for imaginary.

which of the following statements best describes the value of the expression 2x -7 when x = 5

Answers

Given Expression:

2x - 7

Value:

x = 5

To Find:

The value of the expression.

Solution:

2x - 7

By putting the value of x, we get

2(5) - 7 = 10 - 7 = 3

Answer:

The value of the expression is 3.

Answer:

B

Step-by-step explanation:

21) A tenth grade class is selling granola bars for a fundraiser. They earn $0.75 for every
granola bar that they sell. They have ordered 300 granola bars for the sale. Write a function
rule to represent the profit P the class earns for each bar b they sell.
Function rule:
How much profit will they earn if they sell all 300 bars?

Answers

Answer:

255

Step-by-step explanation:

Find the value of X In 10 X + 2Y = 12 Y + 20
Find the value of 3 ^ 4
Find the value of - ( 10 J + 2 Y )
Find the value of ( 6 X - 3Y ) ( -2 )
Find the value of 4 P ( 8 P - 9 Q)
Find the value of X In 12 X + 3Y + 16 X + 9 Y = 40
Find the value ½ ( 10 x + 20 y )
Find the value 24 abc /12 ab

Answers

Answer:

See below

Step-by-step explanation:

Find the value of X In 10 X + 2Y = 12 Y + 20

10x + 2 y = 12y + 2010x = 10y + 20x = y + 2

Find the value of 3 ^ 4

3^4 = 3*3*3*3 = 81

Find the value of - ( 10 J + 2 Y )

- ( 10j + 2y ) = -10j - 2y

Find the value of ( 6 X - 3Y ) ( -2 )

( 6x - 3y ) ( -2 ) = -12x + 6y

Find the value of 4 P ( 8 P - 9 Q)

4p ( 8p - 9q)  = 32p² - 36pq

Find the value of X In 12 X + 3Y + 16 X + 9 Y = 40

12x + 3y + 16x + 9y = 4028x + 12y = 4028x = -12y + 40x = -12/28y + 40/28x = -3/7 y + 10/7

Find the value ½ ( 10 x + 20 y )

½ ( 10 x + 20 y )  = 5x + 10y

Find the value 24 abc /12 ab

24 abc /12 ab = 24/12*abc/ab = 2c

An entry level web developer's annual pay is $55,640 based on 52 weeks per year. Due to the economy, his company is having to cut back on the number of weeks that it employs its web developers. If the firm cuts the work year to 49 weeks but keeps the same rate of pay, how much should the web developer expect his annual pay to decrease? Round your answer to the nearest dollar.

Answers

Answer:

[tex]Reduction = \$3300[/tex]

Step-by-step explanation:

Given

[tex]Pay\ for\ 52\ weeks = \$55,640[/tex]

Required

Determine the reduction when paid is reduced to 49 weeks

First, we need to determine the weekly pay

[tex]Weekly\ Pay = \frac{\$55,640}{52}[/tex]

[tex]Weekly\ Pay = \$1070[/tex]

Next, is to determine the pay for 49 weeks;

[tex]Pay = Weekly\ Pay * 49[/tex]

[tex]Pay = \$1070 * 49[/tex]

[tex]Pay = \$52430[/tex]

Subtract the 49 week pay from 52 weeks pay to get the payment reduction;

[tex]Reduction = \$55640 - \$52340[/tex]

[tex]Reduction = \$3300[/tex]

Trey’s class is making a school flag. The design for the flag is a rectangle that is 18 inches by
14 inches. They are planning to sew a ribbon along both diagonals of the flag. How long should the
piece of ribbon be?

Answers

Answer:

46 inches

Step-by-step explanation:

  2             2        2

18    +    14     =   c

324 + 196 = c2

520 = c2

[tex]\sqrt{520[/tex]  = c

22.80350850198276

Rounded: 22.8 OR 23

Please help, please briefly explain, (awarded brainliest)

Answers

Answer:

A

Step-by-step explanation:

Its basically whatever point(s) meet exactly the on the x axis

Answer:

A

Step-by-step explanation:

when f(x)=0 is when y=0. When y=0 is the x-intercept. There are three x-intercepts because the line crosses the x-axis 3 times, which are -3, -1, and 2.

Complete the following table with the properties used to solve 4(x+3) = 20

Answers

Answer:

4(x+3) = 20

Distrbute

4x+12 = 20

-12 from both sides

4x = 8

divide both sides by 4

x = 2

Step-by-step explanation:

5. Two trains start from the same station and run in
opposite directions. One runs at an average rate of 40
miles per hour, and the other at 65 miles per hour. In
how many hours will they be 315 miles apart?

Answers

Answer:

3 hours

Step-by-step explanation:

40 + 65 = 105

315/105 = 3

The number of hours for both the trains to be at 315 miles apart is 3 hours

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 first train be = A

Let the second train be = B

The average speed of train A = 40 miles per hour

The average speed of train B = 65 miles per hour

Since , the two trains are moving in opposite directions , their speed are added

The total average speed of train A and train B =
( average speed of train A  + average speed of train B )

The total average speed of train A and train B = 40 + 65

                                                                             = 105 miles per hour

Total distance = 315 miles

The equation is

So , the time taken for the two trains to be at 315 miles apart is

Time = Distance / Speed

        = 315 / 105

        = 3 hours

Hence ,

The number of hours for both the trains to be at 315 miles apart is 3 hours

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Please help!!


A. Undefined

B. Zero

C. Positive

D. Negative

Please help I would appreciate it, thanks!!!

Answers

B. Zero because it has a horizontal line.

Answer:

B. Zero

Step-by-step explanation:

Find the greatest common factor of 60 and 60.
please help!!!!

Answers

Answer:60

Step-by-step explanation:

Answer:

The greatest common factor of 60 and 60 is 60, because 60 is the highest number that is divisible by both numbers.

Step-by-step explanation:

Hope this helps, and can you please mark me brainliest because I just need 4 more brainliest to become expert

what are factors of 55

Answers

Answer:

1, 5, 11, 55

These are the factors of 55 because:

1 x 55 = 55.

5 x 11 = 55.

11 x 5 = 55.

55 x 1 = 55.

Hope it helps!

Answer:

55, 1, 11, 5

Step-by-step explanation:

A factor is a number that can be multiplied by another factor to reach a given number. So 11 × 5 is 55 so they are factors of 55. 1 × 55 are also factors of 55.

Hope This Helps :)

Use the remainder Theorem and synthetic division to find f(-6) for f(x) = 2 x3 + 6x2 - 26 x + 20

Answers

f(-6) = 2(-6)3+ 6(-6)2 -26(-6)+20

= -432+ 216+156+20

=-40

slove for the variable
2a-5=5a+23

Answers

Answer:

[tex]a = 9 \frac{1}{3} [/tex]

Step-by-step explanation:

[tex]2a - 5 = 5a + 23 \\ 2a - 5a = 23 + 5 \\ - 3a = 28 \\ \frac{ - 3a}{ - 3} = \frac{28}{ - 3} \\ a = 9 \frac{1}{3} [/tex]

HELP WILL MARK YOU BRAINLIEST

Answers

Answer:

r = 11

Step-by-step explanation:

mDG and mGM must add up to mDM

Step 1: Set up equation

mDG + mGM = mDM

r + 5 + 3r - 14 = 35

Step 2: Solve for r

Combine like terms: 4r - 9 = 35

Add 9 to both sides: 4r = 44

Divide both sides by 4: r = 11

Answer:

11

Step-by-step explanation:

[tex]r+5+3r-14=35\\4r-9=35\\4r=44\\r=11[/tex]

Which expression can be used to find the area of the rectangle shown on the coordinate plane?
5
3
2
4
-5 -2 -
1
2
3
-2
5
6x7
7x7
8x7
8x8

Answers

Answer:

8x7

Step-by-step explanation:

Size of the rectangle:

7 units by 8 units

Area

7*8 = 56 sq. units


Two times the quantity of eight times a number plus two is equal to three times the quantity of two times the same
number minus seven.

Answers

Equation:
2(8x + 2) = 3(2x - 7)

2(8x + 2) = 3(2x - 7)
Distribute
16x + 4 = 6x - 21
-6x on both sides
10x + 4 = -21
-4 on both sides
10x = -25
/10 on both sides
x = -2.5

Answer for the equation:
x = -2.5

The value of the number is -9/10.

Let the number be x

Two times the quantity of eight times a number plus two will be written as:

= 2(8 × x) + 2

= 2(8x) + 2 = 16x + 2

Three times the quantity of two times the same number minus 7 will be written as:

= 3(2 × x) - 7

= 3(2x) - 7 = 6x - 7

We will equate both values and this will be:

16x + 2 = 6x - 7

Collect like terms

16x - 6x = -2 - 7

10x = -9

x = -9/10

In conclusion, the value of the number is -9/10.

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