1) a) Factorize: G(x) = (x+5)2 – 3x(x+5).
b) Solve G(x) = 0.
2) In the adjacent figure ABCD is a square:
a) Express the area of the square and the area
of triangle AEB in terms of x.
b) Calculate x so that the area of the square is equal
to 6 times the area of triangle AEB.​

Answer:

option A, I guess .....

.

Answer:

27.4%

Step-by-step explanation:

Step one:

given

original cost $69

seling price $52

Required

The percent reduction

Step two:

% reduction= change in price/original price*100

% reduction= 69-52/62*100

% reduction=17/62*100

% reduction= 0.274*100

% reduction= 27.4%

Answer:

-50n + 42

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

-8n - 7(6n - 6)

Step 2: Simplify

Answer:

3 3/4 cups of sugar

Step-by-step explanation:

Answer:

Step-by-step explanation:

y2-y1=

x2-x1

2--4=6(negatives cancel out)

3-1=2

so 6/2 =3

3 is slope

Answer:

c= -20h + 90

Step-by-step explanation:

The equation that  describes the relationship  between c and h is:

[tex]c= -20h + 90[/tex]

We have the graph that shows the amount of charge left on  computer, c, after  h hours.

Let us consider two points (h, c) on the graph

(0,90) and (4.5, 0)

Now the equation of the line passing through two points

[tex]\frac{c-90}{h-0} =\frac{0-90}{4.5-0} \\c-90=-20h\\c=-20h+90[/tex]

So, the equation that  describes the relationship  between c and h is:

[tex]c= -20h + 90[/tex]

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Answer:

the question is cut in half

Answer:

Step-by-step explanation:

42+4n<50, so n<4

Answer:

42+4n ≥ 50, so n ≥ 2

Answer:

She spent 19.82 in all

Step-by-step explanation:

I added them

Answer:

Step-by-step explanation:

f(x) = 4x - 12

f(2) = 4*2 - 12

f(2) = 8 - 12

f(2) = - 4

Answer:

The next number is -12 ⇒ B

Step-by-step explanation:

Let us solve the question

∵ The pattern is 2,916, -972, 324, -108, 36, ....

→ All the given numbers are divisible by 3 because the sum of

  the digits of each number can divide by 3

∵ The pattern has positive and negative numbers

∴ Each next term = the previous term ÷ -3

→ Let us do that to find the missing number

∵ 2916 ÷ -3 = -972

∵ -972 ÷ -3 = 324

∵ 324 ÷ -3 = -108

∵ -108 ÷ -3 = 36

→ Find the next number by divide 36 by -3

∵ 36 ÷ -3 = -12

∴ The next number is -12

Answer:

c

Step-by-step explanation:

its in slope intercept form, or y=mx+b where b is the y intercept, i.e. how far down the line hits the y axis. m would be the slope but we dont need to worry about that for now. since b is the y intercept, -8 would mean 8 units down

Answer:

208

Step-by-step explanation:

20 × 0 = 0

40 + 40 = 80

125 + 3 = 128

The given expression [tex]40+40-20\times 0+3+125[/tex] is reduced to 208 and this can be determined by using the arithmetic operations.

Given :

Expression - [tex]40+40-20\times 0+3+125[/tex]

The following steps can be used to evaluate the given expression:

Step 1 - Write down the expression.

[tex]=40+40-20\times 0+3+125[/tex]

Step 2 - First, multiply -20 by 0 in the given expression.

[tex]=40+40-0+3+125[/tex]

Step 3 - Now, Add 40 and 40 in the above expression.

= 80 + 3 + 125

Step 4 - Add 80 and 3 in the above expression.

= 83 + 125

Step 5 - Add 83 and 125 in the above expression.

= 208

For more information, refer to the link given below:

https://brainly.com/question/1957976

Answer:

C. Distribute 4 to (6 - x).

Step-by-step explanation:

Person above is right.

Juan’s first step should be C. Distribute 4 to (6 – x).

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a b + a c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

We are given an equation as;

4(6 – x) = 12

Here Juan wants to solve the equation, using the Distributive Property.

thus, 4(6 – x) = 12

First step is to distribute 4.

4(6) – 4(x) = 12

Then solve;

24 - 4x = 12

x = 3

Hence, Juan’s first step should be C. Distribute 4 to (6 – x).

Learn more about distributive property here;

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Answer:

Maybe.......... No lol. Some people just word it weird. When you change up the wording of the questions it helps sometimes.

Step-by-step explanation:

Answer:

What's your question you have having a problem?

Answer:

I cannot say without a picture, send one and I'll be glad to help.

Answer:

[7]

[4]

[2]

Step-by-step explanation:

The first matrices has 3 rows and 3 columns.

The second matrices has 3 rows and 1 column.

Therefore, your result with have 3 rows and 1 column because the smaller row and column is used.

Solve:

[3 * 2 + 6 * 0 + 1 * 1] [7]

[2 * 2 + 0 * 0 + 0 * 1] = [4]

[0 * 2 + 6 * 0 + 2 * 1] [2]

Answer:

Average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1

Step-by-step explanation:

We need to find average rate of change of f over the interval -1 < x < 1

The function given is: [tex]f(x)= x^2-x-1[/tex]

The formula used to find average rate of change is:

[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}[/tex]

We have, a = -1 and b = 1

Finding f(b) when b=1

[tex]f(x)=x^2-x-1\\f(1)=(1)^2-(1)-1\\f(1)=1-1-1\\f(1)=-1[/tex]

Now, finding f(a), when a= -1

[tex]f(x)=x^2-x-1\\f(-1)=(-1)^2-(-1)-1\\f(1)=1+1-1\\f(-1)=2-1\\f(-1)=1[/tex]

Now, putting values and finding average rate of change

[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}\\Average\:rate\:of\:change=\frac{f(1)-f(-1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-(1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-1}{1+1}\\Average\:rate\:of\:change=\frac{-2}{2}\\Average\:rate\:of\:change=-1[/tex]

So, average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1

Answer:

y=20x75 is the answer

Step-by-step explanation:

You can basically eliminate other two choices since they are division

Answer:

36,960

Step-by-step explanation:

multiply 5280 by 7

Answer:

1/36

Step-by-step explanation:

In two six-sided dice, there is only one way of getting a 12. That is with 2 6s.

There are a total of 36 possibilities (6^2). 1/36

Hope this helps!

Answer:10

Step-by-step explanation:and a slope 2/12 roof slope means your roof has 2 inches of vertical drop for every 12 inches of horizontal distance.Aug

The equation of the line that is parallel to the given line and passes through the point (12, -2) is y = 5/6(x)-12

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of line passing through the points (12, 6) and (0, -4)

Slope = -4-6/0-12

=-10/-12

=5/6

Now let us find y intercept passing through (12, -2)

-2=5/6(12)+b

-2=10+b

-12=b

Hence,  the equation of the line that is parallel to the given line and passes through the point (12, -2) is y = 5/6(x)-12

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Answer:

let the third proportion be x.

then 8,12 and x are in proportion

then 8:12=12:x

8x=12×12

x=144/8=18

Step-by-step explanation:

Step-by-step explanation:

y=-4/5x-2-1

y=-4/5x-3

y/4=5x-3

(y/4)-3 =5x

(y-12)/4=5x

The solution for y will be y = -4/5x-3

Numbers, symbols and operators grouped together that show the value of something.

Given an expression, 1+y=-4/5x-2

Solving for y, we get

1+y=-4/5x-2

y = -4/5x-2-1

y = -4/5x-3

Hence, The solution for y will be y = -4/5x-3

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Answer:

P=5n/m-qr

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.