What is the first step in simplifying the expression
-5x2(4x3 - x2)2 ?
O Distribute -5x?
Square 4x - x2
Subtract 4x3 - 2

Answers

Answer 1

Answer:

Square 4x³ - x²

Step-by-step explanation:

Given the expression -5x²(4x³ - x²)²

The first step in simplifying the expression is to open the parenthesis by taking the square of 4x³ - x² as shown;

-5x²(4x³ - x²)²

= -5x²[(4x³)²- 2x²(4x³) + (x²)²]

= -5x²[16x^6- 8x^5 + x^4]

Hence the correct answer is Square 4x³ - x²


Related Questions

what are the X and Y intercepts of f(x)=-√x

Answers

Answer:

The function intercepts the x and y axis in the same spot, namely (0,0)

-8b + 4(1 + 5b) = -6b - 14

Answers

Answer:

b = -1

Step-by-step explanation:

-8b + 4 + 20b = -6b - 14

12b + 4 = -6b - 14

18b + 4 = -14

18b = -18

b = -1

(1) In 2019, the energy company divided its profits in the ratio;

shareholders : bonuses : development = 5 : 2 : 6

In 2019, its profits were $390 million.

Calculate the amount the company gave to shareholders.

(2) The share price of the company in June 2019 was $285.25. This was an increase of 3.3% on the share price in May 2019.

Calculate the share price in May 2019.

Answers

9514 1404 393

Answer:

  (1)  $150 million

  (2)  $276.14

Step-by-step explanation:

(1) The ratio 5 : 2 : 6 to shareholders : bonuses : development tells us that the fraction of profits to shareholders is ...

  5/(5+2+6) = 5/13

The dollar amount to shareholders is then ...

  (5/13)($390 million) = $150 million

__

(2) We have ...

  $285.25 = (1 +3.3%) × (May price)

  May price = $285.25/1.033 = $276.14

Answer:

19

Step-by-step explanation:

Danielle picks 744 apples at an apple orchard. She divides the apples equally into 40 baskets.
Part A
When dividing 744 ÷ 40, the first digit of the quotient will be in what place?

Hundreds

Tens

Ones

Thousands
Part B
How many apples will be in each basket? Enter your answer in the box.

apples=??

Part C
How many apples will be left? Enter your answer in the box.

apples=??

Answers

Answer:
Tens
PART B: 18
PART C: 24

Answer:

Answer:

Tens

PART B: 18

PART C: 24

Step-by-step explanation:

help me please. i need it ​

Answers

Answer: See explanation

Step-by-step explanation:

m∠A and m∠O are alternate interior angles so they're congruent.

m∠A = m∠O

m∠A = 65°

AM and SO are congruent sides

AM = SO

AM = 86

m∠S and m∠M are alternate interior angles so they're congruent.

m∠S = m∠M

m∠S = 60°

ON and NA are congruent sides.

ON = NA

ON = 75

m∡SNO, m∠S, and m∠O form a triangle so they should add up to 180°

m∡SNO + m∠S + m∠O = 180°

m∡SNO + 60 + 65 = 180

m∡SNO + 125 = 180

Subtract both sides by 125

m∡SNO = 55°

Hope that helped!

Answer right and I will give u brainly and if u dont know dont answer

Answers

Answer:

Step-by-step explanation:

j+28.6=43

-28.6    -28.6

_________________

j=14.4

Hope this helps :>

Troy and Phillip both noticed that each time they represented a problem with a division sentence, they could write a related multiplication sentence. Their team decided
to see if they could represent each situation below in four ways: with words, diagrams, a multiplication number sentence, and a division number sentence.
Help them finish what they started by filling in the missing representations. Part (a) is already completed.
a. Question in Words: How many quarter-pies make three whole pies?
Symbols (2 sentences): 3 + 1 = 12 and 3 . 4 = 12
Diagram:00
Answer in Words: Twelve quarter-pies make three whole pies.
b. Question in Words: f is of how much money?
Symbols (2 sentences):
Diagram:
Answer in Words:
c. Question in Words: How many half-dollars make $30?

Answers

Answer:

yeah same its just nice to have the person's presence their

solve for x what is the solution to the system of equations

Answers

Answer:

x=-6,12

Step-by-step explanation:

Answer:

3,-2

Step-by-step explanation:

Find the lowest common multiple (LCM) of the 90 and 150

Answers

the lowest common multiple of 90 and 150 is 450 .

Answer:

450

Step-by-step explanation:

790 × 150 = 13500

GCF = 30

13500/30 = 450

What expression is equivalent to 3z

Answers

Answer:

3 * z

Step-by-step explanation:

3 * z

if u multiply them, u get 3z

is that what u meant? or are there options to choose from, or did u forget to add something else?

Answer:
3 multiplied by z

Find equation of straight line passing through (2,3) and having slope 1/2​

Answers

Answer:

y=1/2x+2

Step-by-step explanation:

2=x 3=y slope=1/2

y=mx+b

3=1/2(2)+b

3=1+b

3-1=b

2=b

A recipe requires 1\4 of a cup of cranberries for 1 batch. How many beaches of scones can be made using 6 1/2 cups of cranberries?​

Answers

Answer:

26

Step-by-step explanation:

1 batch is 1/4 cups of cranberries.

This means that we have to find the number of groups of 1/4 in  6 1/2 cups to find the number of batches.

(The decimal forms of these numbers are 6.5 and 0.25)

6.5/0.25=26

There are 26 batches

If the diagonal of a television screen is 24 inches and the width is 16 inches,
what is the height of the screen? Leave the answer in simplified radical form
Please show you're work

Answers

Step-by-step explanation:

Let x be the height of the screen.

Using Pythagoras' Theorem,

we have x² + 16² = 24².

Therefore x² = 24² - 16² = 320,

x = √320 = 8√5 in.

The height of the screen is 8√5 inches.

ABC DEF




AB corresponds to DF.
True
False

Answers

it's false

I guess

have a nice day

True or it could be AC corresponding to DF

What does two plus two equal?

Answers

Answer:

two plus two equals 4

2 +2 = 4

Answer:

4

Step-by-step explanation:

when you do 2+2 you get 4

A football team won 75% of 60 games in a season. How many games did they win?

Answers

Answer:45 games

Step-by-step explanation: 1+1 is 2 so yeah

Answer:

I think its 45 games

Step-by-step explanation:

75% times 60 = 45

*My school in middle school was rushed about math when we learned percent. Like the teachers were talking so fast, sorry if I'm wrong. <--- reason if I'm wrong.



HELP PLEASE!!!!! ASAP

Answers

Answer:

I think it would be A

Step-by-step explanation:

Please I need an answer FAST

Answers

Answer: C) 10cm

Step-by-step explanation:

The given information to finding a and c is 14 which I think is the third one, ur welcome

Y=60x+180

It's part of a question for my midterms

Answers

what about that equation do you need....that’s not a question

The length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, working on it. It takes 16 children 6 hours to put the jigsaw puzzle together. How many children are needed to put the same jigsaw puzzle together in 4 hours?

Answers

Answer:

24 children

Step-by-step explanation:

If the length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, this is represented as;

[tex]y \alpha \frac{1}{x}\\y =\frac{k}{x}[/tex]

k is the constant of proportionality

If it takes 16 children 6 hours to put the jigsaw puzzle together, this means at x = 16, y = 6

Substitute:

6 = k/16

k = 6*16

k = 96

W are to find number of children needed to put the same jigsaw puzzle together in 4 hours, this is done by substituting k = 96 and y = 4 into the expression y = k/x

y = 96/4

y = 24

Hence it will take 24 children to put the same jigsaw puzzle together in 4 hours

Part B: What are the values of x and y?
4

Answers

Answer:

can anyone help me with this problem plzzz

Step-by-step explanation:

A house on the market was valued at $212,000. After several years, the value decreased by 7%. By how much did the house's value decrease in dollars? What
is the current value of the house?

Answers

Answer:

It decreased by $14,840 and the current value is $197,160

I NEED HELPPPPPP!!!! :DDDD WILL MARK BRAINLIEST TO THE BEST ANSWER!!!! PLEASE SHOW ALL SOLUTIONS!!!! In triangle ABC, the exterior angle at A measures (3x + 10)°, the exterior angle B measures (5x)°, and the exterior angle C measures (2x + 4)°. Determine the measure of the interior angle at A. THANK YOU AND GOD BLESS....!!!!

Answers

9514 1404 393

Answer:

  ∠A = 66.2°

Step-by-step explanation:

The sum of exterior angles of any polygon is 360°, so you have ...

  (3x +10)° +(5x)° +(2x +4)° = 360°

  10x +14 = 360 . . . . . . . . . . . . . . .collect terms, divide by °

  x + 1.4 = 36 . . . . . . . . . divide by 10

  x = 34.6

The interior angle at A is the supplement of the exterior angle there:

  ∠A = 180° -(3x +10)° = 180° -(3(34.6) +10)°

  ∠A = 66.2°

Find the vertices of the following functions.
Y=4(x-2)(x-3)

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

Answers

1) 5/2 , -1
2) -2,-5

Solve the equation.
x2 + 13x + 30 = 0
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution(s) is/are x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
O B. There is no solution.

Answers

Given that,

An equation : [tex]x^2 + 13x + 30 = 0[/tex]

To find,

The value of x.

Solution,

We have, [tex]x^2 + 13x + 30 = 0[/tex]

We can solve it as follows :

[tex]x^2 + 10x +3x+ 30 = 0\\\\x(x+10)+3(x+10)=0\\\\(x+3)(x+10)=0\\\\(x+3)=0\ \text{and}\ (x+10)=0\\\\x=-3\ \text{and}\ x=-10[/tex]

So, the solution of the given equations are -3 and -10.

i) 5(3x + 2)
ii)3(5x+2)
iii) 15(x+1)
iv) 15(x+5)
v) X(15x+1)

Answers

Answer:

i) 15x+10

ii) 15x+6

iii) 15x+15

iv) 15x+75

v)15x^2+x

Step-by-step explanation:

you have to substitute the number outside the brackets to all the variables inside by multiplying.

(^) means power.

20+3xy-3xy+y²+10-y²

Options 1,2,3 or 4?

Answers

Answer:

It is option 4.

Step-by-step explanation:

Key skills needed to solve this problem: Combining like terms and simplifying

1) We have to combine like terms and simplify to the maximum

We first start with 3xy and - 3xy. These cancel out as they add up to make 0. Next. there is y^2 and -y^2. These also cancel out. The only 2 terms left are 20 and 10 which add up to make 30.

Therefore, it is option 4.

Hope you understood! Have a nice day!! :D

The answer is option 4. ~30~

Hope this helps

Have a great day/night

Find the value of x. 8,13,x

Answers

Answer:

x=18

Step-by-step explanation:

Key skills needed: Arithmetic Sequences, Addition

1) We have a sequence of 8,13,x

2) To find the number being added every time, we do 13-8. This is 5.

3) This means x would be 13+5

4) 13+5 is 18 so x is 18.

Hope you understood and have a nice day!! :D


A line with a slope of 3 passes
through the points (2, -1) and (4, 5).
Which of the following is not an
equation of the line that passes
through those points?
B. y = 3x-11
A. y+1 = 3(x-2)
D. y-5 = 3(x-4)
C. y = 3x-7

Answers

Answer:

We conclude that only the equation y = 3x-11 is not an equation of the line that passes through the points.

Hence, option B is correct.

Step-by-step explanation:

Given the points

(2, -1)(4, 5)

Finding the slope between (2, -1) and (4, 5)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(4,\:5\right)[/tex]

[tex]m=\frac{5-\left(-1\right)}{4-2}[/tex]

[tex]m=3[/tex]

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 3 and the point (2, -1)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-2=3\left(x-\left(-1\right)\right)[/tex]

[tex]y-2=3\left(x+1\right)[/tex]

Add 2 to both sides

[tex]y-2+2=3\left(x+1\right)+2[/tex]

[tex]y=3x+5[/tex]

So, y = 3x+5 is one of the equation lines.

We can also check by substituting the values m = 3 and the point (4, 5)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

y - 5 = 3(x-4)

So, y - 5 = 3(x-4) is also one of the equation lines.

Now, let say take the point (4, 5) an substitute in y = 3x-11

y = 3x-11

put x = 4 and y = 5

5 = 3(4)-11

5 = 12-11

5  = 1

FALSE!

Hence, the equation y = 3x-11 does not pass through (4, 5). Thus, the equation y = 3x-11 is not an equation of the line that passes through the points.

Now, let say take the point (4, 5) an substitute in y+1 = 3(x-2)

y+1 = 3(x-2)

put x = 4 and y = 5

5+1 = 3(4-2)

6 = 3(2)

6 = 6

TRUE!

Now, let say take the point (2, -1) an substitute in y+1 = 3(x-2)

-1+1 = 3(2-2)

0 = 0

TRUE!

Thus, the equation y+1 = 3(x-2) is an equation of the line that passes through the points.

Now, let say take the point (2, -1) an substitute in y = 3x-7

y = 3x-7

put x = 2 and y = -1

-1 = 3(2) - 7

-1 = 6-7

-1 = -1

TRUE!

Now, let say take the point (4, 5) an substitute in y = 3x-7

y = 3x-7

put x = 4 and y = 5

5 = 3(4)-7

5 =  12-7

5 = 5

TRUE!

Thus, the equation y = 3x-7 is an equation of the line that passes through the points.

Conclusion:

We conclude that only the equation y = 3x-11 is not an equation of the line that passes through the points.

Hence, option B is correct.

Answer:b

Step-by-step explanation:

Help fast please
What types of angles are in each of these quadrilaterals?
acute and right angles
obtuse angles only
acute angles only
acute and obtuse angles

Answers

Answer:

Acute and Obtuse..I cant see any right

Step-by-step explanation:

Answer:

D) Acute and Obtuse angles

Step-by-step explanation:

The pink quadrilateral has obtuse angles and I believe it has 2 acute angles.

The orange one has 2 acute and 2 obtuse angles

And the green one has both acute and obtuse angles.

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