50 POINTS please show the step by step process.I already know the answers i just the steps!!

1.Factor: 4x^2+28x-36

2.Factor: 125x^6-27y^15

3.Multiply: (4x-7)(5x-8)

Answers

Answer 1

Answer:

1.   4(x² + 7x - 9)2.  (5x² - 3y⁵) (25x⁴ + 15x²y⁵ + 9y¹⁰)3.  20x² - 67x + 56

Step-by-step explanation:

1.  factor 4x^2+28x-36

= 4x² + 28x - 36

re-write 36=4*9,  and 28=4*7

= 4x² + 4 * 7x - 4 * 9

factor out common term:

= 4(x² + 7x - 9)

2.  factor 125x^6-27y^15

= 125x⁶ - 27y¹⁵

=(5x²)³ - (3y⁵)₃

apply difference of cubes: x³-y³ = (x-y)(x²+xy+y²)

= (5x² - 36y⁵)(5²x⁴ + 5 * 3x²y⁵ + 3²y¹⁰)

refine:

= (5x² - 3y⁵) (25x⁴ + 15x²y⁵ + 9y¹⁰)

3. multiply (4x-7)(5x-8)

apply the FOIL method

= 4x * 5x + 4x (-8) + (-7) * 5x + (-7) (-8)

= 20x² - 67x + 56

Related Questions

Renee is simplifying the expression (7) (13/29) (1/7).She recognizes that 7 and 1/7 are reciprocals, so she would like to find their product before she multiplies by 13/29. Which property will allow Renee to do this without changing the value of the expression
A- associative property
B- commutative property
C- distributive property
D- identity property

Answers

Answer:

commutative property

Step-by-step explanation:

Answer:

c\

Step-by-step explanation:

distributive property

please help what is 400÷56×14÷3​

Answers

Answer: 33.3_

Step-by-step explanation:

400 divided by 56 equals 17.14_ and 17.4_ multiplied by 14 equals 100 and divided by 3 is equal to 33.3_

Answer: 0.0425

Step-by-step explanation:

PEMDAS

1. 56x14

2. 400/784

3. 0.1275/3

4. 0.0425

ix=5

3x+y

2x^{2}[/tex]


giving extra points cuz i need this questions to be answered ASAP please thanks :-)

Answers

Answer:

35

Step-by-step explanation:35

There are 5 classes in fifth grade and 6 classes in sixth grade. Each class has 20 students how many are in fifth and sixth grade classes altogether

Answers

Answer:

220

Step-by-step explanation:

11 classes total   11 multiplied by 20=220

Answer:220

Step-by-step explanation:

20*5=100

20*6=120

120+100=220

WILL GIVE BRAINLIEST TO WHOEVER CAN DO ALL OF THE FOLLOWING:
-Write an equation of the line that passes through each pair of points.
-Say where the line that passes through both pair of points is located at
- Explain how you completed the question

Any answer that doesn't include these 3 things will get reported as incomplete
You have 5 hours after the question is posted to complete it.
GOOD LUCK!!!!

Answers

Answer:

y = x - 6y = -x + 5y = x - 5

Step-by-step explanation:

Slope - intercept formula: y = mx + b, where m- slope, b- y-intercept

1. Points are:

(2, -4) and (4, -2)

Slope is:

m = (y2 - y1)/(x2 - x1) m = (-2 - (-4))/(4 - 2) = 2/2 = 1

y-intercept is - 6 as per graph

Then the formula is

y = x - 6

2. Points are:

(0,5 ) and (4, 1)

Slope is:

m = (1 - 5)/(4 - 0) = -4/4 = -1

y-intercept is 5 as per point

Then the formula is

y = -x + 5

3. Points are:

(-3, 1), (-1, -3)

Slope is

m = (3 - 1)/(-1 -(-3)) = 2/2 = 1

y-intercept is -5 as per graph

Then the formula is

y = x - 5

Admission to the fair costs $5.50. Each ride costs you 75 cents. You have $15 to spend at the fair including admission. Write and solve an inequality that represents the possible number of rides that you can go on. Choose the correct inequality answer.

Answers

Answer:

Step-by-step explanation:

15-5.5 is 9.5

9.5/.75

up to 12

15=.75x-5.50 (i think)

Write the standard form of the equation of the line that passes through (-2, -3) and (2, -5).

Answers

the slope is 6-2/2-(-2)=4/4=1

point slope form: y-6=1(x-2)

slope-intercept form: y=x+4

Standard form: -x+y=4 change to x-y=-4

Hope that had helped

Have a nice day :)

The gardener mows your lawn in $9 and earns $45. Write and solve an equation to find the number of hours of the gardener worked
All I need is the equation plz help.​

Answers

Answer:

45/9=__

Step-by-step explanation:

Please mark me brainliest

ILL GIVE BRAINLIEST. HELP ASAP. What is the greatest common factor in the two terms of the expression 3x - 2y?

Answers

The answer is 1
Steps

distributive −2x(−10x+1)

Answers

Answer:

[tex]20x^{2} -2x[/tex]

Step-by-step explanation:

Multiply using the distributive property.

Answer:20x-2x is the answer..

Mark brainliest

Plzzz follow hope u like it

A cylindrical tube has a length of 14.4cm and a radius of 1.5cm and is filled with a colorless gas. If the density of the gas is known to be 0.00123g/cm 3 , what is the mass of the gas in the tube in mg?

Answers

Answer:

0.125214 g

Step-by-step explanation:

we know that density is given as

density=mass/volume

the volume of the cylinder

v= πr^2h

v=3.142*1.5^2*14.4

v=3.142*2.25*14.4

v=101.8cm^3

Given that density =0.00123g/cm^3

mass= density*volume

masss= 0.00123*101.8

mass= 0.125214 g

Quan makes $72 a day as an Uber driver, plus $8 for each client he has. If
Quan typically makes $104 a day. How many clients does he usually have

Answers

Answer:

Quan usually has 4 clients

Step-by-step explanation:

Working backward at math is to start with the final situation and work back one step at a time to get to the beginning.

We know Quan makes $104 a day, including his $72 fixed rate plus an $8 rate per client.

Subtracting the total and the fixed rate, we can find the variable part of his earnings.

$104 - $72 = $32

Quan usually makes $32 for the variable rate at $8 per client, thus he usually has $32 / $8 =4 clients.

Quan usually has 4 clients

What is the slope of the line that passes through the points (3, 5) and (8, 3)?​

Answers

Answer:

[tex]- \frac{2 }{3} [/tex]

Step-by-step explanation:

[tex]the \: slope : m = \frac{3 - 5}{8 - 3} = \frac{ - 2}{ + 5} = - \frac{2 }{3} [/tex]

♨Rage♨

Did I get this right? If I did not please correct me and explain please thank you.

Answers

Answer:  Yes. 10 1/2 is right.

Step-by-step explanation:

You added the amounts to find the total cups  5 3/4 + 1 1/4 to get 7

Then divided by 2/3 cups per week to get 10 1/2 weeks.

Please help me please I feel like crying cause I can't do it...

Answers

Answer:

1. 39

2. 15

3.329

4. 16

5. 300

Step-by-step explanation:

Just divide the first two numbers and then multiply the quotient by the last number. You'll be ok, you've got this, keep your head up!

1. 52/4 = 13 and 13 x 3 = 39

2. 45/9 = 5 and 5 x 3 = 15

3. 470/10 = 47 and 47 x 7 = 329

4. 10/2.5 = 4 and 4 x 4 = 16

5. 125/2.5 = 50 and 50 x 6 = 300

a perfect square?
Group of answer choices

Answers

All numbers are the same on all sides

equal on all sides. so it can be any number on all sides as long as they're the same

Which proportion could be used to find the length of side b?

Answers

Answer:

what's the whole question

Step-by-step explanation:

I’ll give brainliest I need help

Answers

Answer:

1, -1, -3, 3

Step-by-step explanation:

f(x) = 2x-1

f(1)=2*1-1 = 2-1 = 1

f(0) = 2*0 - 1 = -1

f(-1) = 2* -1 -1 = -2-1 = -3

f(2) = 2 * 2 -1 = 4-1 =3

Which numbers are possible solutions to the inequality... (SELECT ALL THAT APPLY)
-5x + 10 < 30

Answers

1. you didn't add anything

2. x>-4

MULTIPLE CHOICE QUESTION
How to Write and Solve Proportions
Kerry swam 2,400 yards in 20 minutes. How many minutes
will it take her to swim 3,000 yards
12
How will we find this scale factor?
3000x20/2400-2
1) Set up a word ratio.
2) Fill in the proportion
3) Find the scale factor.
yards 24004 30000
20 min
2400/3000-2
Х
3000/2400=?
x/20=2
20/=?

Answers

Answer:

2

Step-by-step explanation:

Answer:

23x432+3=20min

Step-by-step explanation:

Please help me my mums gonna kill me if I fail this assignment.
I`ve been working all day and don´t understand how to solve it

Answers

Answer:

17 in,3 in, and 19in

so the third answer

Step-by-step explanation:

The hypotenuse of a right triangle is 9 inches long and another side is 6 inches. Find the length of the missing side. Round your answer to the nearest tenth.​

Answers

a² + b² = c²
a² = c² - b²
a² = 9² - 6²
a² = 81 - 36
a² = 45
a = √45
a ≈ 6.7082
a = 6.7

|) A race car game takes 6 points from a player each
time the player hits a cone. What integer represents
the change in total points if the player hits 10 cones?
10
J-O
The change in total points is
O
Mall

Answers

Answer:

the correct answer is ten


4(x – 5) +3x =15 solve the equation

Answers

Answer:

x = 3.57

Step-by-step explanation:

4x - 20 + 3x = 15

4x + 3x = 15+20

7x = 25

x = 3.57

The quadrilateral shown is a rhombus. What is m∠4?

A) 28°
B) 32°
C) 58°
D) 90°

Answers

I think it would be 28

In a rhombus, both pairs of opposite angles are congruent

so m<4=32 degrees

so your answer is 32 DEGREES

Write 4.5 as a mixed number and as an improper fraction

Write your answer in a simplest form m

Answers

4 1/2 mixed number

9/2 improper fraction

Answer:

4.5 as a mixed number is 4 1/2

4.5 as an improper fraction is 9/2

Please help due today at 8 am

Answers

Answer:

im pretty sure its all of them

Answer:

option 2 Nd 3 only my friend.

Today was a snow day. Felicia decided to track the snowfall. There were already 2 inches of snow on the ground from a previous storm. She measured the snow fall each hour. She found that exactly 1.5 inches of snow fell each hour. What is the initial value and rate or change?​

Answers

Oh yeah I guess you don’t know that you have a baby girl I don’t want

Convert 120 inches to feet.

Answers

Answer:

10 feet

Step-by-step explanation:

12 inches = 1 foot

120/12 = 10

10 feet

Answer:

10 foot.

Step-by-step explanation:

120 divided by 12

A concert charges $30 admission and $15 per shirt. Alyssa paid $75 at the concert for her admission and shirts. Write and solve an equation to find the number of shirts Alyssa bought. Explain what your variable represents.

Answers

Answer:

75-30/15=x

Step-by-step explanation:

75-30=45

45/15=3

75-30/15=x

Answer:

30+15(x)=75               so x would =3

Step-by-step explanation:

So you have one ticket which is $30, then you add 15 times however many shirts she buys which in total will equal $75. She would have bought 3 shirts. So 30+ 15(3)=75. Hope that helps!

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