Consider the expression –3(y – 5)2 – 9 + 7y.

Which statements are true about the process and simplified product? Check all that apply.

The first step in simplifying is to distribute the –3 throughout the parentheses.
There are 3 terms in the simplified product.
The simplified product is a degree 3 polynomial.
The final simplified product is –3y2 + 7y – 9.
The final simplified product is –3y2 + 37y – 84.

Answers

Answer 1

Answers:

B) There are 3 terms in the simplified product.

E) The final simplified product is –3y2 + 37y – 84.

Answer 2

The true statements are:

B. The simplified product has three terms

E. –3y2 + 37y – 84 is the final simplified product.

How to Simplify The Product of Polynomials?

Given the polynomial expression, –3(y – 5)² – 9 + 7y, to simplify, do the following:

–3(y – 5)(y – 5) – 9 + 7y

-3y² + 30y - 75 - 9 + 7y

Combine like terms

-3y² + 37y - 84 (three terms)

Therefore, the statements that are true are:

B. The simplified product has three terms

E. –3y2 + 37y – 84 is the final simplified product

Learn more about product of polynomials on:

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Related Questions

help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Straight lines.

Since there are more than one lines that can land plane safely, we take one of it,

When, X = 10 and Y = 7, so the equation we get as,

y-7 = m(x-10) + c

lets find slope, that is value of m,

y2-y1/x2-x1 = m

so, 9-7/ 7-10 = 2/-3

so, m= -2/3

so the final Equation is,

=> y-7 =(-2/3)(x-10) +c

apply appropriate methods in solving rationalequations and inequalities.​

Answers

To solve an equation involving rational functions, we cross multiply the numerators and denominators. Then we move all our terms to one side. Then we use our algebra skills to solve. To solve an inequality involving rational functions, we set our numerator and denominator to 0 and solve them separately

5 out of 12 issues it publishes each year. Write and solve a proportion to determine how many times a photo of a main dish will be on the front cover during the next 5 years?

Answers

Answer:

25 times

Step-by-step explanation:

If the magazine(we are assuming it's a magazine as we are not told) publishes 5 out of 12 issues of a photo of main dish each year then out of every 12 issues each year it only publishes 5 photos of main dish

The proportion is therefore 5/12

In five years there will be 12*5=60 issues of a photo of a main dish and 5*5=25 published photos of a main dish.

Therefore a photo of a main dish will be on the cover 25 times out of 60 issues in five years

To check if we are correct, we check the proportion to see if it still evaluates to 5/12

25/60= 5/12 when reduced to lowest terms

Please help me ASAP! I’m stupid so I don’t know what to do

Answers

Answer:

Step-by-step explanation:90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Answer:

∠5

Step-by-step explanation:

So basically it's what it sounds like. They alternate inside. If it was alternate exterior it would means that they would alternate on the outside. Kinda hard to explain, but easy once you understand it.

Task 2
If two figures are similar, then they are congruent.
Check all that apply
true in all cases
true in some cases
true in no cases

Answers

Answer:

pqoejbbbsvbhxncbqbqheeirowoqpnabzvxjsmqkw

Can you put a better picture ?

Every term is

a constant

a variable

an expression​

Answers

An expression nahehshddsjshshs
A variable since the coefficients wouldn’t match with others.

I need help solving and checking the answer before my test tomorrow. ‍♀️im gonna fail so if you know anything please solve it and show how to check the answer ​

Answers

Step-by-step explanation:

-3+5=-10

−3x+5−5=−10−5

−3x=−15

−3x÷−3=−15÷-3

x=5

(-2 4/5)(1 4/5)

=-14/5×19/5

=-14×9/5×5

=-126/25

=-5 1/25

Answer:

3. x = 5

4. -5  1/25

Step-by-step explanation:

Question 3 Solving:

your equation is -3x + 5 = -10

subtract 5 from both sides to get the term with x alone: -3x = -15

divide both sides by -3 to isolate x (remember that a minus divided by minus is plus): x = 5

To check:

plug in 5 to x and see if you get -10 on both sides

-3(5) + 5 = -10

first multiply -3 and 5:

-15 + 5 = -10

then add 5 to -15:

-10 = -10

if the number are equal then you solved the equation correctly

Question 4:

multiply the whole number by the denominator, then add the numerator to the product, and that number will be your new numerator ( make sure to leave the negative sign out of this computation)

so multiply 2 and 5 to get 10, then add 4 to get 14

your new fraction is -14/5

practice doing the same thing to the other mixed fraction

you should get a new fraction of 9/5

multiply the numerators and denominators

so multiply -14 and 9, and multiply 5 and 5

you now have -126/25

divide 126 by 25 to get your whole number of the mixed fraction

you should have -5  ?/25

to find the numerator, multiply your whole number by your denominator (25 x 5 = 125), then subtract this from your numerator of the improper fraction

126-125 = 1

now you have an answer of -5  1/25

2 x ² + 16x+63 2x² +19x+a​

Answers

=jeksjskakkjakakaaskskskskskskskdksk

Answer:

\557

Step-by-step explanation:

Which graph represents a function?

Answers

Answer:

The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.

Is 1.6 or 1.25 bigger

Answers

1.6 is bigger because
1.6 is bigger. Think of 1.6 as 1.60. Is 1.60 or 1.25 bigger? 1.60 is. Hope this helps!!!

A passenger train travels 528 miles in 8 hours

Answers

Answer:

66 miles per hour

Step-by-step explanation:

528/8 = 66 miles per hour

Answer:

66 miles/hour.

Step-by-step explanation:

Its average speed is 528/8

= 66 miles/hour.

Help!!!!Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer.

Answers

Answer:

[tex]m=\frac{-1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, -4)

Point (-8, 0)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{0+4}{-8-0}[/tex]Add/Subtract:               [tex]m=\frac{4}{-8}[/tex]Simplify:                        [tex]m=\frac{-1}{2}[/tex]

Simultaneous equations
y=x+2
y=x^2

Answers

Answer:

(- 1, 1 ) and (2, 4 )

Step-by-step explanation:

Given the 2 equations

y = x + 2 → (1)

y = x² → (2)

Substitute y = x² into (1)

x² = x + 2 ( subtract x + 2 from both sides )

x² - x - 2 = 0 ← in standard form

(x - 2)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 1 = 0 ⇒ x = - 1

Substitute these values into (1) for corresponding values of y

x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )

x = - 1 → y = - 1 + 2 = 1 ⇒ (- 1, 1 )

A circle of radius 8 is inscribed in an isosceles trapezoid. The length of the larger base of the trapezoid is 20. Find the length of the shorter base.

PLEASE ANSWER FAST

Answers

Answer:

ayy

Step-by-step explanation:

sup

Answer:

12 4/5

Step-by-step explanation:

you can use just mark x as half of the leg of the trapezoid and then use pythagorean theorem to get x^2+8^2+10^2+8^2=(10+x)^2 and then solve

i need help. it’s due tonight.thank you

Answers

Answer:28

Step-by-step explanation:

T7 = 35 hope this helps

PRESSSSSSSSSSS CTRL W

:D

Answers

Answer:lol

Step-by-step explanation:

Answer
Watch All American on Netflix
Explanation

A. Car B was 20 miles east of car A
B. Car A was 10 miles east of car B
C. Car B was 10 miles east of car A
D. Car A was 30 miles east of car B​

Answers

Answer:

D

Step-by-step explanation:

Its D because If one was going 60 and then the second one went 150 on the same road. They both had to start off low and the lowest number closer to those to are 30.

if u subtract 17 from my number and multiply the difference by -5 the result is -25 what is the number

Answers

22

(X-17)-5=-25
Divide by -5
X-17= 5
Add 17 to both sides
X=22

Answer:

the number is 22

Step-by-step explanation:

let the number be x

-5(x-17) = -25

-5x + 85 = - 25

-5x = - 25 - 85

-5x = - 110

x = - 110 ÷ - 5

x = 22

Check answer

- 5 × ( 22) + 85

- 110 + 85

- 25

A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).
Which equation represents the graphed function?

–3x + 2 = y
–x + 2 = y
x – 3 = y
2x – 3 = y

Answers

Answer:

I don't see the answer  but it is 3/2x - 3 = y

Step-by-step explanation:

did it on edge 2020

The equation of the line representing the graphed function is y = ( 3/ 2 ) x - 3. Option E is correct.

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The equation is formed by finding the slope using the coordinates ( 0,-3 ),( 2, 0 ) and ( 4, 3 ).

The slope is calculated as,

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

x₁ = 0, y₁ = -3 and x₂ = 2, y₂ = 0.

The equation is given as,

y = mx + c

y = (-3/2)x - 3

Therefore, the equation of the line representing the graphed function is y = ( 3/ 2 ) x - 3.

The complete question is given below;-

A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).

Which equation represents the graphed function?

–3x + 2 = y

–x + 2 = y

x – 3 = y

2x – 3 = y

y = ( 3/ 2 ) x - 3.

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74ft
24ft
b
What is the length of the missing leg?

Answers

Answer: 70

Step-by-step explanation:

a^2 + b^2 = c^2

24^2 + b^2 = 74^2

576 + b^2 = 5,476

-576             -576

b^2             =4,900

(square root)

b                 =70

An item costs $350 before tax, and the sales tax is $31.50.
Find the sales tax rate. Write your answer as a percentage.

Answers

I think it’s 9 percent

What is the answer to this math problem; -2.4x+3.8x-x

Answers

Answer:

0.4x

Step-by-step explanation:

Answer: =0.4x

Step-by-step explanation: hope this help

Let's simplify step-by-step.

−2.4x+3.8x−x

=−2.4x+3.8x+−x

Combine Like Terms:

=−2.4x+3.8x+−x

=(−2.4x+3.8x+−x)

=0.4x

6k ÷ 7 = -3
Solve for k

Answers

Answer:

k = -3.5

Step-by-step explanation:

6k ÷ 7 = -3

Multiply 7 to both sides

6k = -21

Divide both sides by 6

6k/6 = -21/6

k = -3.5

To check if the answer is correct or not, you can always plug in -3.5 for k in the equation.

6(-3.5) ÷ 7 = -3

-21 ÷ 7 = -3

-3 = -3

-3 equals -3 so it is correct that k = -3.5

18. 4x +3=15+2x
Can someone help me solve this number and also 19,20,21,22,23,24,25

Answers

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf 4x+3=15+2x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 4x-2x=15-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x=12 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{12}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=6 [/tex]

__________________

21-

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5+5a-7[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5a-2 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-5a=-2+2 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -2a=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf a={\dfrac {1}{-2}}[/tex]

_________________

22-

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=2+6x+1+2x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=8x+3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-8x=3+18 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x=21 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {21}{3}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=7[/tex]

_________________

23-

[tex]{:}\longrightarrow[/tex][tex]\sf e+3+e=40-(-2)+5e [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2e+3=42+5e [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2e-5e=42-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -3e=39 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf e={\dfrac {39}{-3}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf e=-13 [/tex]

please help and thanks

Answers

0.5%

explanation:
there are 12 tiles in total. 6 green tiles and 6 is half of 12, half in a percentage is 50%, and to get the decimal form, move the decimal to right, so then your answer is 0.5%

Based on what you see here, what is the domain of this function?*
Your answer
This is a required question

Answers

Answer:

Domain seems to be all real numbers.

Step-by-step explanation:

Mr. Scott likes to pose interesting problems to his Mathematics classes. Today,
he started with the expression 6^2020 + 7^2020. He stated that the expression was
not equivalent to 13^2020 and that he was not interested in the actual sum. His
question to his class and to you is, “What are the final two digits of the sum?

Answers

Answer:

The last two digits of 6²⁰²⁰ + 7²⁰²⁰ is 7, 7

Step-by-step explanation:

The given question is to find the value of the sum of two numbers 6²⁰²⁰ + 7²⁰²⁰, where,  6²⁰²⁰ + 7²⁰²⁰ ≠ 13²⁰²⁰

We have;

The last two digits of the powers of 6 are;

6¹ = 6, last two digits = 06

6² = 36, last two digits = 36

6³ = 216, last two digits = 16

6⁴ = 1,296, last two digits = 96

6⁵ = 7,776, last two digits = 76

6⁶ = 46,456, last two digits = 56

6⁷ = 279,936, last two digits = 36

6⁸ = 1,679,616, last two digits = 16

6⁹ = 10,077,696, last two digits = 96

6¹⁰ = 60,466,176, last two digits = 76

6¹¹ = 362,767,056, last two digits = 56

Therefore, the last two digits repeat itself every 5 times

For 6²⁰²⁰, the last two digits will be for the 2020/5 = 404 complete times, which will be 76

The last two digits of the powers of 7 are;

7¹ = 7, last two digits = 07

7² = 49, last two digits = 49

7³ = 343, last two digits = 43

7⁴ = 2,401, last two digits = 01

7⁵ = 16,807, last two digits = 07

7⁶ = 117,649, last two digits = 49

7⁷ = 823,543, last two digits = 43

7⁸ = 5,764,801, last two digits = 01

Therefore, the last two digits repeat itself every 4 times

For 7²⁰²⁰, the last two digits will be for the 2020/4 = 505 complete times, which will be 01

Therefore, the last two digits of 6²⁰²⁰ + 7²⁰²⁰ is 76 + 01 = 77, which is 7, 7

Help me pls
Steve earns $1575 a month.
Below is his monthly budget:
.3/5 of his budget is for rent and utilities
.1/3 of his income is for food and other expenses
. The rest will go into Steve's savings account
How much money will Steve put into his savings account each month?

Answers

3/5 of his budget= $945

1/3 of his budget = $525

$105 will go into his savings because

$1575 - (945 + $525) = $105

Solve for u. 7/6=u+4/8 Simply the answer.

Answers

Answer:

plz mark brainliest

Step-by-step explanation:

16/3 or 5 1/3

Answer:

[tex]u=\frac{16}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define

[tex]\frac{7}{6} =\frac{u+4}{8}[/tex]

Step 2: Solve for u

Cross-multiply:                    [tex]7(8)=6(u+4)[/tex]Multiply:                               [tex]56=6(u+4)[/tex]Distribute 6:                        [tex]56=6u+24[/tex]Isolate u term:                     [tex]32=6u[/tex]Isolate u:                              [tex]\frac{32}{6} =u[/tex]Simplify:                               [tex]\frac{16}{3} =u[/tex]Rewrite:                               [tex]u=\frac{16}{3}[/tex]

Step 3: Check

Plug in u into the original equation to verify it's a solution.

Substitute in u:                    [tex]\frac{7}{6} =\frac{\frac{16}{3} +4}{8}[/tex]Add:                                     [tex]\frac{7}{6} =\frac{\frac{28}{3}}{8}[/tex]Divide:                                 [tex]\frac{7}{6} =\frac{7}{6}[/tex]

Here we see that 7/6 does indeed equal 7/6.

∴ [tex]u=\frac{16}{3}[/tex] is a solution of the equation.


2x+7=19 solving two-step equations

Answers

Answer:

x=6

Step-by-step explanation:

divide each term by 2 then simplify

Answer:

6

Step-by-step explanation:

First what you do is you subtract 7 from both sides to get 2x by itself.

2x + 7 - 7 = 19 - 7

2x = 12

Then you divide 2 from both sides to get x by itself.

2x/2 = 12/2

x = 6

Your answer is then x = 6.

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