See attachment for question. 8th grade algebra

Answer:

(f - g)(x) = 3x² - 2x - 6

General Formulas and Concepts:

Pre-Algebra

Algebra

Step-by-step explanation:

Step 1: Define

f(x) = 3x² - 2

g(x) = 2x + 4

(f - g)(x) is f(x) - g(x)

Step 2: Find

The rule that describes this transformation is R₀ 270°

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

If a point A(x, y) is rotated clockwise by 270 degrees, the new point is at A'(-y, x)

Quadrilateral PQRS is at P(-3, 5), Q(-1, 3), R(-3, 1) and S(-5, 3). If PQRS is rotated 270 degrees clockwise, the new point is at P'(-5, -3), Q'(-3, -1), R'(-1, -3) and S'(-3, 5)

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Answer:

Step-by-step explanation:

5x^2+4x=3(2-x)

5x^2+4x=6-3x

5x^2+4x+3x-6=0

5x^2+7x-6

(5x^2-3x)+(10x-6)

x(5x-3)+2(5x-3)

(5x-3)(x+2)

x=3/5,-2

Answer:

1. x = 16

2. x = 17

Step-by-step explanation:

1. The sum of the exterior angles of any polygon is 360 degrees. So, to find x, we can add up all of the angle measures and set them equal to 360, then solve for x:

46 + 93 + 47 + 4x + 62 + 3x = 360

Combine like terms:

248 + 7x = 360

Subtract 248 from both sides of the equation to isolate 7x:

7x = 112

Divide both sides by 7 to find the value of x:

x = 16

2. The sum of the interior angles for a 5-sided polygon is 540 degrees. So, to find x, we can add up all of the angle measures and set them equal to 540, and then solve for x:

5x + 139 + 9x + 71 + 92 = 540

Combine like terms:

14x + 302 = 540

Subtract 302 from both sides to isolate the 14x:

14x = 238

Divide both sides by 14 to find the value of x:

x = 17

I hope this helps :)

Answer:

2x7x13

Step-by-step explanation:

182 =  91 x 2

91 = 13 x 7

Answer:

Total amount  = £ 3250

Step-by-step explanation:

Ann : Ben : Cheryl = 3 : 7 : 10

Money Ann received = 3x

Money Ben received  = 7x

Money Cheryl received  = 10x

Ben received £650 more than Ann.

7x - 3x = 650

     4x = 650

       x = 650/4

x = £ 162.50

Money Ann received = 3x  = 3 *162.50 = £ 487.50

Money Ben received  = 7x   = 7 *162.50 = £ 1137.50

Money Cheryl received  = 10x  = 10* 162.50 = £ 1625

Total amount = 487.50 + 1137.50 + 1625 = £ 3250

Answer:

2x - 10 = 34 degrees

3x - 10 = 56 degrees

Step-by-step explanation:

Since they're complementary, they'd equal 90-degrees.

Solve for x:

2x - 10 + 3x - 10 = 90

5x -20 = 90

5x = 110

x = 22

2(22)-10 = 34

3(22)-10 = 56

Answer:

4

Step-by-step explanation:

220 divided by 55 is 4

Answer:

He’s gotten paid 4 times.

Step-by-step explanation:

All you have to do is divide 220 by 55 and you get the answer! :)

Answer:

Tan J = 0.2917

Step-by-step explanation:

Here, we want to find the value of tan J

Firstly, we need to understand that the numbers 24, 25 and 7 are a Pythagorean triple and as such the three measures represent the values of length of the sides of a right angled triangle

The tangent of an angle= measure of the opposite/measure of the adjacent

In the question, the opposite to point J measures 7 while the adjacent measures 24

So ;

tan J = 7/24

= 0.2917

Answer:

60 grams

Step-by-step explanation:

480/8 = 60

Answer:

C

Step-by-step explanation:

We know that line CD passes through the two points (0, 2) and (4, 6).

First and foremost, let’s find the slope of the line. We can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are our two points.

So, let’s let (0, 2) be (x₁, y₁) and (4, 6) be (x₂, y₂). Substitute appropriately:

[tex]\displaystyle m=\frac{6-2}{4-0}[/tex]

Evaluate:

[tex]\displaystyle m=\frac{4}{4}=1[/tex]

Hence, our slope is 1.

Now, we can use the slope-intercept form:

[tex]\displaystyle y=mx+b[/tex]

Where m is our slope and b is our y-intercept.

Notice from our given points that we are given (0, 2).

So, our y-intercept is 2.

Therefore, we will substitute 1 for m and 2 for b. This yields:

[tex]\displaystyle y=(1)x+(2)[/tex]

Simplify:

[tex]\displaystyle y=x+2[/tex]

Hence, our answer is C.

Step-by-step explanation:

If A=650+135N; and B=585N,

then A+B= 650+135N+585N=650+620N

T=720N+650

A function assigns values to each element. An equation relating T to N can be represented by T=650+720N.

A function assigns the value of each element of one set to the other specific element of another set.

The function which tells the amount that is been saved by Jina is given by the function A=650+135N, while the function which tells the amount that will be saved by her husband is B=585N.

Since the total saving amount is represented by T which is the sum of the two functions A and B. Therefore, the function of T can be written as,

[tex]\rm T=A+B\\\\T = (650+135N)+585N\\\\T = 650+135N+585N\\\\T = 650+720N[/tex]

Thus, an equation relating T to N can be represented by T=650+720N.

Learn more about Function:

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Hope this helps?

Please mark my answer as brainliest?

Answer:

1) A honeydew has 20 more calories than a cantaloupe

THE ANSWER IS 2

PLS GIVE BRAINLIEST

Answer:

1 + 1 = 2

Step-by-step explanation:

I don't know why but I have been seeing a lot of questions like this lol

Answer:

(x-5)(2x+1)

Step-by-step explanation:

Its called google XD

Answer:

4 hours

Step-by-step explanation:

We can calculate this using the y=mx+c formula

y=total charge

m=per hour

x = (a) no. of hours

c= flat fee

y=20x+40

120=20x+40

We then solve like a normal equation

120-40=20x+40-40

80/20=20x/20

x=a

a=4

∴ Dalyn rents the boat for 4 hours

Answer:

$0.59 more than the candy necklace

Step-by-step explanation:

you subtract .90 from .31

Answer:

O 6x5/5x

Step-by-step explanation:

Answer:

It should be D. I'm not 100% sure though. But D is what I chose.

Answer:

x = 12

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define equation

2x + 8 = 32

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

1. [tex]Perimeter = 10x^2+ 22x - 16[/tex]

2. [tex]Area = 6x^4 +28x^3 + 14x^2 - 48x[/tex]

3. [tex]x = 1[/tex] or [tex]x = -3.2[/tex]

4. [tex]Length = 0[/tex] and [tex]Width = 8[/tex]

5. [tex]Length = 6.72[/tex] and [tex]Width = 1.28[/tex]

6. Second Solution

7. [tex]Area = 8.6016[/tex]

Step-by-step explanation:

Given

[tex]Length = 3x^2 + 5x - 8[/tex]

[tex]Width = 2x^2 + 6x[/tex]

Solving (1): The perimeter

Perimeter is calculated as thus:

[tex]Perimeter = 2 * (Length + Width)[/tex]

Substitute values for Length and Width

[tex]Perimeter = 2 * (3x^2 + 5x - 8 + 2x^2 + 6x)[/tex]

Collect Like Terms

[tex]Perimeter = 2 * (3x^2+ 2x^2 + 6x + 5x - 8 )[/tex]

[tex]Perimeter = 2 * (5x^2+ 11x - 8 )[/tex]

Open Bracket

[tex]Perimeter = 10x^2+ 22x - 16[/tex]

Solving (2): The Area:

Area is calculated as thus:

[tex]Area = Length * Width[/tex]

Substitute values for Length and Width

[tex]Area = (3x^2 + 5x - 8) * (2x^2 + 6x)[/tex]

Expand Bracket

[tex]Area = 2x^2(3x^2 + 5x - 8) + 6x(3x^2 + 5x - 8)[/tex]

Open Bracket

[tex]Area = 6x^4 + 10x^3 - 16x^2 + 18x^3 + 30x^2 - 48x[/tex]

Collect Like Terms

[tex]Area = 6x^4 + 10x^3 + 18x^3 - 16x^2 + 30x^2 - 48x[/tex]

[tex]Area = 6x^4 +28x^3 + 14x^2 - 48x[/tex]

Solving (3): If perimeter is 16, show that x = 1 and x = -3.2

In (a) [tex]Perimeter = 10x^2+ 22x - 16[/tex]

Substitute 16 for Perimeter

[tex]16 = 10x^2+ 22x - 16[/tex]

Equate to 0

[tex]10x^2+ 22x - 16 -16=0[/tex]

[tex]10x^2+ 22x - 32=0[/tex]

Expand

[tex]10x^2+ 32x -10x- 32=0[/tex]

Factorize

[tex]x(10x + 32) - 1(10x + 32) = 0[/tex]

[tex](x - 1)(10x + 32) = 0[/tex]

Split

[tex]x - 1 =0[/tex] or [tex]10x + 32 = 0[/tex]

[tex]x = 1[/tex] or [tex]10x = -32[/tex]

[tex]x = 1[/tex] or [tex]x = -32/10[/tex]

[tex]x = 1[/tex] or [tex]x = -3.2[/tex]

Solving (4): Using x = 1; Solve the dimension of the rectangle

We have that:

[tex]Length = 3x^2 + 5x - 8[/tex]

[tex]Width = 2x^2 + 6x[/tex]

Substitute 1 for x in the given parameters

[tex]Length = 3(1)^2 + 5(1) - 8[/tex]

[tex]Length = 3*1 + 5*1 - 8[/tex]

[tex]Length = 3 + 5 - 8[/tex]

[tex]Length = 0[/tex]

[tex]Width = 2(1)^2 + 6(1)[/tex]

[tex]Width = 2*1 + 6*1[/tex]

[tex]Width = 2 + 6[/tex]

[tex]Width = 8[/tex]

Solving (5): Using x = -3.2; Solve the dimension of the rectangle

We have that:

[tex]Length = 3x^2 + 5x - 8[/tex]

[tex]Width = 2x^2 + 6x[/tex]

Substitute -3.2 for x in the given parameters

[tex]Length = 3(-3.2)^2 + 5(-3.2) - 8[/tex]

[tex]Length = 3*10.24 + 5(-3.2) - 8[/tex]

[tex]Length = 30.72 -16 - 8[/tex]

[tex]Length = 6.72[/tex]

[tex]Width = 2(-3.2)^2 + 6(-3.2)[/tex]

[tex]Width = 2*10.24 + 6(-3.2)[/tex]

[tex]Width = 20.48 -19.2[/tex]

[tex]Width = 1.28[/tex]

[tex]Length = 6.72[/tex] and [tex]Width = 1.28[/tex]

Solving (6):

In the first solution of the dimensions in number 4, we have that

[tex]Length = 0[/tex] and [tex]Width = 8[/tex]

This dimension can not be considered because the length of a rectangle can not be 0

In the second solution of the dimensions in number 5, we have that

[tex]Length = 6.72[/tex] and [tex]Width = 1.28[/tex]

This dimension makes more sense because both dimensions are greater than 0

Solving (7): Using (6), determine the Area

In (6), we conclude that

[tex]Length = 6.72[/tex] and [tex]Width = 1.28[/tex]

So, Area is calculated as thus:

[tex]Area = Length * Width[/tex]

[tex]Area = 6.72 * 1.28[/tex]

[tex]Area = 8.6016[/tex]

Answer:

5x+y=29

Step-by-step explanation:

You use the information that is given and convert it into point-slope form y-y1=m(x-x1) like so. y-4= -5(x-5). Then you solve for y and you get y= -5x+29 which is slope intercept form (y=mx+b). Then you transform it into Standard form (ax+by=c) so all you do is add 5 on both sides and you get 5x+y=29. Now you have found your solution.

If you can please make my answer the brainliest that would be much appreciated. Thanks!

Answer:

[tex]\dfrac{1}{5}\ L[/tex]

Step-by-step explanation:

It is given that,

A 2-liter bottle is filled completely with water from a faucet in 10 seconds.

We need to find how much water us filled in to the bottles each seconds.

In 10 s = 2 L bottle is filled

In 1 s, [tex]\dfrac{2}{10}\ L=\dfrac{1}{5}\ L[/tex] of water is filled into the bottles.

Answer:

y= 1 over 4 x -2

Step-by-step explanation:

hope you understand that

Answer:

y = [tex]\frac{1}{4}[/tex] x - 2

Step-by-step explanation:

y = mx + b is slope-intercept form of linear equation.

Solve x - 4y = 8 for "y"

- 4y = - x + 8

y = [tex]\frac{1}{4}[/tex] x - 2

Answer:

[(6 + x) / 13+x] = 0.65

7

Step-by-step explanation:

Given that:

Total number of games = 13

Number of correct prediction = 6

Number of correct predictions needed to raise prediction % to 65%

(Number of correct predictions) / (total number of games) = 0.65

Let x = number of additional consecutive correct predictions

[(6 + x) / 13+x] = 0.65

Where x = number of consecutive predictions required

6 + x = (13 + x) * 0.65

6 + x = 8.45 + 0.65x

x - 0.65x = 8.45 - 6

0.35x = 2.45

x = 2.45 / 0.35

x = 7

7 consecutive correct predictions

Answer:

D

Step-by-step explanation:

The value of the expression (-5)⁶ is,  15,625. So option D is correct

An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The expression (-5)⁶

In mathematical terms, this means that the expression

⇒ (-5) x (-5) x (-5) x (-5) x (-5) x (-5)

⇒ 15625

So, the value of the expression (-5)⁶ is 15625.

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Answer:

In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.

Step-by-step explanation: