Expand each of the following expressions

(b-2) (b+7)​

Answer:

C. x2 − 4x + 4

D. x2 + 10x + 25

Step-by-step explanation:

On edge 2021

The two perfect square trinomial  are

Perfect square trinomial is an algebraic expression takes the  form

ax2 + bx + c,

A Perfect square trinomial gotten by the multiplication of a binomial with itself, and a binomial takes the form (x+a).

Therefore, the two perfect square trinomial perfect are

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Answer: Choice A

Ray PL and ray PQ

=======================================================

Explanation:

Opposite rays always have the same endpoint in common. So opposite rays start with the same letter.

Opposite rays also lay on the same geometric line. This means they point in complete opposite directions. Gluing together two opposite rays forms a line that extends forever in both directions.

Ray PQ points in one direction while ray PL points in the opposite direction. These are opposite rays.

Saying "ray PQ" is different from saying "ray QP". The order matters. This is because the first letter tells you the endpoint while the second letter is where the ray is aimed at (and where it goes off forever).

Answer:

x=2

Step-by-step explanation:

-3x+12=-18

-3x=-18+12

-3x=-6

x=-6/-3

x=2

Answer:

x=10

Step-by-step explanation:

We are given the equation:

[tex]-3x+12= -18[/tex]

and asked to solve for x. Therefore, we must isolate x on one side of the equation.

12 is being added to -3x. The inverse of addition is subtraction. Subtract 12 from both sides of the equation.

[tex]-3x+12-12= -18 -12[/tex]

[tex]-3x= -18-12[/tex]

[tex]-3x=-30[/tex]

x is being multiplied by -3. The inverse of multiplication is division. Divide both sides of the equation by -3.

[tex]-3x/3=-30/-3[/tex]

[tex]x= -30/-3[/tex]

[tex]x=10[/tex]

Let's check our solution. Plug 10 in for x and solve.

[tex]-3x+12=-18[/tex]

[tex]-3(10)+12=-18[/tex]

Multiply -3 and 10.

[tex]-30+12=-18[/tex]

Add 12 to -30.

[tex]-18=-18[/tex]

This checks out, so we know our solution is correct.

The solution -3x+12=-18 is x=10.

Answer:

10

Step-by-step explanation:

Answer:

0.02275

Step-by-step explanation:

We use this z score formula to solve for this question

z-score is is z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation

From the above question,

x = 77

μ = 75

σ = 7

number of samples = 49

Hence, the z score = 77 - 75/ (7/√49)

= 2/(7/7)

= 2/1

= 2

Hence, the z score = 2

Using the z table to find probability

P(x<77) = 0.97725

P(x>77) = 1 - P(x<77)

= 1 - 0.97725

= 0.02275

Therefore, the probability that the same mean will be larger than 77 years

is 0.02275

Answer:

1st choice 9 to the power of 4 times 8 to the power of 4 times

Step-by-step explanation:

(9 times 8) to the power of 4 means

9*8*9*8*9*8*9*8 which is also equal to 9*9*9*9*8*8*8*8

and that is 9 to the power of 4 times 8 to the power of 4 times

Answer:

A

Step-by-step explanation:

Because (9*8)^4 equals 26873856

and 9^4*8^4 equals 26873856

Answer:

x=58/9 fraction x=6 4/9

Step-by-step explanation:

Answer:

x = 6.44 (rounded)

Step-by-step explanation:

First, combine like terms:

3x + 6x + 2 - 15 = 45

(3x + 6x) + (2 - 15) = 45

(9x) + (-13) = 45

9x - 13 = 45

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and is:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 13 to both sides:

9x - 13 (+13) = 45 (+13)

9x = 45 + 13

9x = 58

Next, divide 9 from both sides:

(9x)/9 = (58)/9

x = 58/9

x = 6.44

Answer:

(- 1, 4 ) is a solution to the equation

Step-by-step explanation:

Substitute x = - 1 and y = 4 into the left side of the equation and if the value obtained is equal to the right side then it is a solution

Given

3x + 8y = 29, then

3(- 1) + 8(4) = - 3 + 32 = 29 = right side

Thus (- 1, 4 ) is a solution of the equation

Answer:

The match last for 3 hours and 10 minutes.

Step-by-step explanation:

Match started at 10.25 am

Match ended at 1.35 pm

We need to find how long did the match last.

Minutes between 10.25 am to 11 am = 35 minutes

Minutes between 1 pm to 1.35 pm = 35 minutes

Time between 11 am to 1 pm = 2 hours

Time between 10.25 am and 1.35 pm is :

T = 2 hours 70 minutes

But 1 hour = 60 minutes

T = 2 hours (60+10) minutes

T = 3 hours 10 minutes

It means the match last for 3 hours and 10 minutes.

Answer:

the difference between the two fractions is 1/10

Step-by-step explanation:

when solving this problem you must switch the denominators to the same number. in this case thats 30. so 10*3 is 30 and 15*2 is 30. so then we multiply 7*3 to get 21 and 14*2 to get 24. so now we have 21/30 and 24/30, so then we compare. and we end up with 3/30, we simplify the answer to 1/10.

Answer:

The answer is

-15: I owe $10. I owe $5.

Answer:

-127

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Step-by-step explanation:

Right angle = 90°

(x + 3) + (x - 1) + (x + 1) = 90

3x + 3 = 90, x = 29.

Supplementary angles = Angles that add up to 180°.

x + (x + 104) = 180

2x = 76, x = 38.

The value of x in fig.1 is 29 .

The value of x in fig.2 is 38 .

Given,

Figures having different angles .

1)

Right angle = 90°

(x + 3) + (x - 1) + (x + 1) = 90

3x + 3 = 90

x = 29.

2)

Supplementary angles = Angles that add up to 180°.

x + (x + 104) = 180

2x = 76

x = 38.

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Answer:

Step-by-step explanation:

6x≤-37

x≤-37/6

x≤ -6 1/6

Answer:

B.The expression 75ℎ represents the total charge for Elegance Home Architects.

D.If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.

E.If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

Step-by-step explanation:

Which of the following statements are true? Select all that apply.

A.The expression 50ℎ represents the total charge for Rock the House Digital Designs.

B.The expression 75ℎ represents the total charge for Elegance Home Architects.

C.The cost for using Rock the House Digital Designs for an initial consultation only is $550.

D.If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.

E.If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

Answer:

Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. If they are hired for h hours, the total charge for Rock the House Digital Designs would be:

Total charge for Rock the House Digital Designs = 500 + 50h

Elegant Home Architects charge $75.00 per hour for the house plans, if they work for h hours, the total charge would be:

Total charge for Elegance Home Architects = 75h

A) Option A is not correct since the total charge for Rock the House Digital Designs is 500 + 50h

B) Option B is correct because the total charge for Elegance Home Architects = 75h

C) Option C is not correct, For an initial consultation, the cost for using Rock the House Digital Designs is $500

D) For a period of 15 hours:

Total charge for Rock the House Digital Designs = 500 + 50h = 500 + 50(15) = $1250

Total charge for Elegance Home Architects = 75h = 75(15) = $1125

Option D is correct because Elegance home architect would be cheaper

E) For a period of 40 hours:

Total charge for Rock the House Digital Designs = 500 + 50h = 500 + 50(40) = $2500

Total charge for Elegance Home Architects = 75h = 75(40) = $3000

Option D is correct because Rock the House Digital Designs would be cheaper

Answer:

question 11 is d   and question 12 is g   hope it helps

Step-by-step explanation:

subtract 24.65from 75              

add both fractions

Fifty five percent times two hundred and sixty equal one hundred and forty three

Answer:

3(x + 12)

Step-by-step explanation:

"the sum of a number and 12"

x + 12

"Three times the sum of a number and 12"

3(x + 12)

Answer:

Step-by-step explanation:

1. Subtract 5x from both sides to put the equation in slope-intercept form:

  y = -5x +10

__

2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...

  (x, y) = (0, 10)

You may notice this is one of the points listed in part 4, and is also used in question 3.

__

3. The x-value computed is 1; the y-value computed is 5. The point is ...

  (x, y) = (1, 5)

You may notice this is one of the points listed in part 4.

__

4. See attached

Answer:

1. y = -5x +10

2. (0, 10)

3. (1, 5)

4. see attached

Step-by-step explanation:

1. Subtract 5x from both sides to put the equation in slope-intercept form:

 y = -5x +10

__

2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...

 (x, y) = (0, 10)

You may notice this is one of the points listed in part 4, and is also used in question 3.

__

3. The x-value computed is 1; the y-value computed is 5. The point is ...

 (x, y) = (1, 5)

You may notice this is one of the points listed in part 4.

__

4. See attached

Answer:6m

Step-by-step explanation:

Square root 36m²

The required length of the side of the square is 6 meters.

Given that,
the area of the square is 36 square meters, what is the length (in meters) of one side in the square needs to be determined.

A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of the polygon, equilateral triangle, square, pentagon, etc

Here,
Since all the sides of the square are identical and the square is a polygon also.

Area of square = (side)²
we have given the area of a square, i.e. 36
36 = side²
side = √36
side = 6  (since √36 = 6)
Implies length of its side is 6 meters

Thus, the required length of the side of the square is 6 meters.

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Answer:

YOUR CORRECT OPTION IS B

B) (-5,-20)

y=4x

x= -5

y= -20

Putting values

-20 = 4(-5)

= -20 = -20

Thus, the correct answer is B

Answer:

b (-5,-20)

Step-by-step explanation:

the first number in an ordered pair is the x value and the second is y so when you substitute in these values you get -20= 4(-5) which is true

Answer:

20 3/4

Step-by-step explanation:

First, add together the whole numbers:

5 + 15

= 20

Then, add the fractions and decimals together:

Convert 1/4 to a decimal, which is 0.25

Add the decimals together:

0.25 + 0.5

= 0.75

Convert this to a fraction:

0.75 = 3/4

Then, add together 20 and 3/4

20 + 3/4

= 20 3/4

Answer:

83/4

Step-by-step explanation:

This is the right answer.

Answer: 10,230,179.02813299

Step-by-step explanation:

That would be your answer

Answer:

uh

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

[tex]15-\frac{10}{5} -2^{2}[/tex]

[tex]15-\frac{10}{5}-4\\15 -2-4\\13-4\\=9[/tex]

Answer:

180 days

Step-by-step explanation:

To solve for the least number of days all three will again be report to the principal, find the lowest common multiples of all three of them

Rachel will report to the principal every 9 days, Jessica every 12 days, and Richard every 15 days

Rachel (every 9 days) = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180

Jessica (every 12 days) = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180

Richard (every 15 days) = 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180

The lowest common multiples of 9 days, 12 days, 15 days is 180 days

Therefore, the least number of days all three will report again to the principal is 180 days

Answer:

C) f(2)=0 and g(-2)

Step-by-step explanation:

You start by looking at each graph and the given x values.

Check what value is at x=2 on the bue graph for your f(x), in this case it's 0. It's the same process for the red graph, g(x), which is 0.

Answer:

D. 1,944

Step-by-step explanation:

the box's size is missing, so I looked for a similar question:

the box measures:

total volume of the box = 12 x 9 x 18 = 1,944 cm³

since each dice occupies a volume of 1 cm³, then you can fit 1,944 dices in each box.