Use polynomial identities to multiply (5 - 4x3)(5 + 4x3). What identity did you use?

A. Difference of cubes identity
B. Difference of squares identity
C. Binomial Theorem
D. Square of a sum identity

Answers

Answer 1

[tex]\textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] ~\dotfill\\\\ (5-4x^3)(5+4x^3)\implies [(5)^2-(4x^3)^2]\implies [(5^2)-(4^2x^{3\cdot 2})] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 25-16x^6~\hfill[/tex]


Related Questions

Try to find the slope

Answers

Answer:

-11/14.

Step-by-step explanation:

Slope =(y2-y1)/ (x2 - x1)

Here y2 = 7 and y1 = -4, x2 = -7 and x1 = 7.

So slope

= (7 - (-4)/ -7-7)

= -11/14.

Rachel buys 1 gallon of milk. Her sister Abby uses 15 quarts of the milk in a recipe. Then her mother
uses 3 cups of the milk in a different recipe
Select all of the true statements below
O A Rachel's mother uses more milk than her sister Abby uses
B. There are 56 fluid Ounces of milk left
C. There are 9 cups of milk left
D. There is more than gallon of milk lett,
O E There is more than 5 gallon of milk left,

Answers

Answer:

Option B

Step-by-step explanation:

x/2 - 3 = 5 Solve the equation algebraically show work to support the answer

Answers

Answer:

x = 16

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

x/2 - 3 = 5

x/2 = 5+3

x/2 = 8

x = 8×2

x = 16

What do you know about these two lines?

y = 6x - 1
y = -6x - 4

A: The lines are parallel because their slopes are the same.
B: The lines are perpendicular because the slopes are opposites reciprocals
C: The lines are neither parallel nor perpendicular, they just intersect.

Answers

Answer: Choice C

Explanation:

Refer to the y = mx+b form

m = slopeb = y intercept

The slopes are the only thing we focus on. For the equations y = 6x-1 and y = -6x-4, the slopes are 6 and -6 in that order.

The slopes are not equal, so the lines aren't parallel.

The slopes aren't opposite reciprocals of one another, so they aren't perpendicular either. An example of an opposite reciprocal pairing would be 6 and -1/6. Any pair of nonzero opposite reciprocal slopes always multiply to -1.

Therefore, the two lines are neither parallel nor perpendicular, they just intersect.

PLEASE HELP WILL MARK BRAINIEST!!!!!!

Answers

Answer:

I think D because CBD is half of ABC

Step-by-step explanation:

If I am wrong I appologize

can someone please tell me these answers

Answers

Answer: For Y the rate of change is +4

For the rate of x its +5

Step-by-step explanation:

Men to women working for a company is 2 to 3 if there are 80 employees total how many men work for the company

Answers

Answer:

48

Step-by-step explanation:

because if there is 48 men there is 32 women therefor making 80 employees

Solve the following system of equations by elimination​

Answers

Answer:

y = -6

x = 1

Step-by-step explanation:

-x + 2y = -13

-x - 2y = 11

Sum the equations:

-x -x = -2x

+2y - 2y = 0

-13 + 11 = -2

then

-2x = -2

x = -2/-2

x = 1

from the first eq.

-x + 2y = -13

-1 + 2y = -13

2y = -13 + 1

2y = -12

y = -12/2

y = -6

check:

from the second eq.

-x -2y = 11

-1 -(2*-6) = 11

-1 -(-12) = 11

-1 + 12 = 11

a prisms base has a perimeter of 12cm and a height of 2 cm. the area of the base was 5cm. what is the surface area of the prism.

Answers

Answer:  34 square cm

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

Explanation:

For any prism, there are two congruent bases opposite one another. In other words, the bases are identical polygons with the same area. Each base is 5 square cm. So far, that accounts for 5+5 = 10 square cm of surface area. Let A = 10 as we'll use it later.

The perimeter is 12 cm and the height is 2 cm. It turns out that the lateral surface area is found by multiplying the two items. This is because the perimeter is made up of the lengths of the sides of the base, which when multiplied by the height, will give the area of each rectangular side panel.

So the lateral surface area is 12*2 = 24 sq cm. Let B = 24.

Overall, the total surface area is A+B = 10+24 = 34 square cm

Ahat costs $25. Tax is 8%. How much is the lax on the hot? O $20 $17 $0 20 $2 NEXT QUESTION ASK TORTILLP​

Answers

Answer:

$2

Step-by-step explanation:

To use a percent you must change it to a decimal.

8% is .08

To find 8% of 25, we use multiplication.

.08 × 25

= 2

In case you cannot use a calculator or you want to be very quick about this, or just do a simple check... you can actually reverse the number (money, amount, etc) and the percent.

25% of 8 is not bad for doing mental math. 25% is a quarter, or 1/4 of 8 which again is 2.

DUE TODAY PLZ HELP!!

Solve this system of equations using the Substitution method. Don't forget to write your final answer as a coordinate point. You must show all your work.

3x + y = -2

y = 2x + 3

Answers

The solution to the system of equations expressed as a coordinate point is [tex](x.y)=(-1,1)[/tex]

To solve the system

[tex]3x + y = -2\\y = 2x + 3[/tex]

Note that [tex]y[/tex] is already made subject of formula in [tex]y = 2x + 3[/tex]. So substitute the value for [tex]y[/tex] into [tex]3x + y = -2[/tex] to eliminate [tex]y[/tex] and leave us with an equation with [tex]x[/tex]

[tex]3x + y = -2\\3x + (2x+3) = -2\\3x+2x+3=-2\\3x+2x=-2-3\\5x=-5\\\frac{5x}{5}=\frac{-5}{5}\\x=-1[/tex]

Substitute this value of [tex]x[/tex] into [tex]y = 2x + 3[/tex] to get the value of [tex]y[/tex]

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

The solutions are [tex]x=-1,y=1[/tex], or expressed as a coordinate point

[tex](x.y)=(-1,1)[/tex]

Learn more about systems of equations here: https://brainly.com/question/16763389

3. Twenty-five percent of Santa's elves
decorated the North Pole. If 150 elves
decorated, how many total elves live in
the North Pole?


Answers

600 elves

25% = 1/4
1/4 of the total = 150.
1/4 x 4 = 1 (total)
150 x 4 = 600
there are 600 elves

Kenya uses mental math to find the sum of 235 and 23. She uses 235, 20, and one other number. What is the missing

number?


3

5

35

58

Answers

Answer:

3

Step-by-step explanation:

235 + 23

She uses 235, so 23 is left

235 + something + something = 235 + 23

235 + 20 + something = 235 + 23

subtract 235 from both sides

20 + something = 23

20 + something = 20 + 3

the missing number is 3

The missing number is 3.

What is addition?

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

Kenya uses mental math to find the sum of 235 and 23.

She uses mental math.

That means,

she breaks the term in simple manner.

And she uses 235, 20, and one other number.

And the other number is 23 - 20 = 3

So, addition,

235 + 23

= 235 + 20 + 3

= 258

Therefore, the required number is 3.

To learn more about the addition;

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Does anyone know how to add fractions? Please explain step by step to get marked!

Answers

Answer:

To add fractions there are Three Simple Steps:

Step 1: Make sure the bottom numbers (the denominators) are the same.

Step 2: Add the top numbers (the numerators), put that answer over the denominator.

Step 3: Simplify the fraction (if possible)

Emma says that Function A has a greater initial value. Is Emma correct? Justify your response. Function A Function B Alternative text x 2 4 6 8 10 y 2 3 4 5 6 A. Yes; Function A has an initial value of 2 and Function B has an initial value of 1. So, Function A has a greater initial value. B. Yes; Function A has an initial value of –1 and Function B has an initial value of –2. So, Function A has a greater initial value. C. No; Function A has an initial value of –2 and Function B has an initial value of 1. So, Function B has a greater initial value. D. No; Function A has an initial value of 2 and Function B has an initial value of –1. So, Function B has a greater initial value

Answers

Answer: B

Step-by-step explanation: Function A starts at 0,2 and function B starts at 2,2

Answer:

It is C

Step-by-step explanation:

"No; Function A has an initial value of 2, and Function B has an initial value of 1. So, the functions do not have the same initial value."

Sebastian said that if a number is a perfect square. then the number is even. Provide two examples that show that the statement is false.​

Answers

Answer:

Below!

Step-by-step explanation:

You can take 25 as one example and 49 as the second example.

Let's factorize.

=> 25 = 5 x 5 = (Which is odd)=> 49 = 7 x 7 = (Which is odd)Conclusion:

Hence, the statement is not true.

Hoped this helped.

can someone please help me with this I don’t wanna fail math

Answers

Answer: y = mx + b is the slope intercept form of writing the equation of a straight line

Step-by-step explanation:

Answer:

Step-by-step explanation:

, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

Solve each system using substitution or additions
(elimination).

-x+2y=-1
5x-10y=6

Answers

Answer:

Step-by-step explanation:

L1 -x + 2y = -1

L2 5x - 10y = 6

-x + 2y = - 1 multiply by -1

x - 2y = 1 multiply by 5

5x - 10y = 5 is similar that 5x - 10y = 6

The system has no solution

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Answers

Answer:

[tex]I(-2,0) \to\\ I \ ' \ (-0.5,0)\\\\J(3,2) \to\\ J \ ' \ (0.75,0.5)\\\\K(1,-1) \to\\ K \ ' \ (0.25,-0.25)\\\\[/tex]

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

Explanation:

For each point, multiply each x,y coordinate by 0.25 (the scale factor) to dilate the preimage to the image. This will shrink the image because the positive scale factor is less than 1.

So for instance, point J(3,2) will have this scratch work

3*(0.25) = 0.752*(0.25) = 0.5

meaning J(3,2) moves to J ' (0.75, 0.5)

----------

Side notes:

0.25 = 1/40.5 = 2/4 = 1/20.75 = 3/4this trick only works if the center of dilation is the origin

Factor the following expression completely: 3x^2+9x+6

Answers

Answer:

The answer is 3(+1)(+2)

Answer:

3(+1)(+2)

Step-by-step explanation:

Find the value of x need help

Answers

It is an isosceles triangle which means two sides are the same. Therefore it would also be 7 because it is the same as the other side

Boy Scouts Popcorn Sales

Matt:8
Byron:16
Tim:8
Marcos:12
Ahmed:4

Based on the ratio of Popcorn boxes sold
by Ahmed to total sold by the whole
group, if Ahmed sold 5 more boxes of
popcorn, how many more would the
whole group have to sell to keep the ratio
the same?
A. 55
B. 58
C. 60
D. 70

Answers

Answer:

60

Step-by-step explanation:

5 plus 4 is nine.

I based everything on how much times more it was at first, and did that times 9 for every name.

I added up how much more boxes they got in total and got 60.

Find the slope of the line below:

Answers

Answer:

[tex]\bold{m=-\frac{2}{5}}[/tex]

Step-by-step explanation:

Slope

First, we have to find two points that hit the graph at the right place:

[tex](0,4)[/tex]

[tex](10,0)[/tex]

Then, we plug the value into the slope formula:

[tex]\sf{Slope\:formula:\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{0-4}{10-10}[/tex]

Now, we can solve:

[tex]\frac{0-4}{10-0}\\\\=\frac{-4}{10}\\\\\bold{m=-\frac{2}{5}}[/tex]

Therefore, the slope of the line is [tex]-\frac{2}{5}[/tex]

If sin A = 3/4, then the value of tan A

Answers

[tex]sinA=\frac{3}{4}[/tex]  ⇒  ∠A ≈ 49°

tanA ≈ 1.15

ok done. Thank to me :>

1 A community group is painting classrooms. One 20 litre can of costs R1 699,00. It is then reduced by 6%. Determine the new cost of a 20 litre can​

Answers

699,00 = 100%
6.99 = 1%
41.94 = 6%

699,00 - 41,94 = 657.06

What is the approximate surface area of the sphere? Round to the nearest hundredth and use 3.14 for Pi. Recall the formula S A = 4 pi r squared. A sphere with a radius of 9. 113.04 square units 226.08 square units 1,017.36 square units 4,069.44 square units

Answers

Answer:

Step-by-step explanation:

A = 4πr² = 4π9² = 324π units²

324(3.14) = 1,017.36 units²

calculate the quotient below and give your answer in scientific notation

Answers

Answer:

the answer is 95

Julie goes to the store to buy grapes. Grapes cost $1.09 per pound. Write an equation to help Julie determine the total amount, y, she will pay for a given number of pounds of grapes, x?

Answers

Answer:

y=1.09x

Step-by-step explanation:

Find the value of n:
(3√7)^5=7^n

Answers

The value of n in the equation (3√7)^5 = 7^n is 5.32288

How to find the value of n in the given equation

In the given equation (3√7)^5=7^n, n is solved as follows

(3√7)^5 = 7^n

= (3√7)^5 = 7^n

7.937253933^5 = 7^n

31502.96087 = 7^n

take ㏑ of both sides

㏑ 31502.96087 = n ㏑ 7

divide through by ㏑ 7

n = ㏑ 31502.96087 / ㏑ 7

n = 5.32287517

the value of n is 5.32288

Learn more about logarithm at:

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If the product of a number and -5 is reduced by 2, the result is 26 less than twice the opposite of the number. What is the
number?

Answers

Answer:

(-5n)-2=26-2n

Step-by-step explanation:

i think -9 1/3

well, let's say that number is "a", so it's opposite will just be "-a".

what's that number times -5?

-5*a => -5a

let's reduce that by 2

-5a -2

what would it be twice the opposite of it?

2(-a)

what is it 26 less than that?

2(-a) - 26.

[tex]-5a-2=2(-a)-26\implies -5a-2=-2a-26\implies -2=3a-26 \\\\\\ 24=3a\implies \cfrac{24}{3}=a\implies \boxed{8=a}[/tex]

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