Mathematics High School

Multiplying special cases of polynomials

1. (x + 5)(x − 5)

a) x2-2x−25
b) x2−25
c) x2+2x−25

2. (n − 1)(n + 1)

a) n2 − 2n -1
b) n2 − 1
c) n2 − 2n +1

3) (p − 1)2

a) p2 − 2p +1
b) p2 − 2p -1
c) p2 + 2p +1

4. (x − 4)2

a) x2 − 8x -16
b) x2 − 16
c) x2 − 8x +16

5. (n + 3)2

a) n2 + 6 n - 9
b) n2 - 6 n + 9
c) n2 + 6 n + 9

6.-(2 + v)2

a) 4 + 4v + v2
b) v2 + 4v +4
c) v2 + 4

Answers

Answer 1

Answer:

1) b) x2−25

2) b) n2 − 1

3) a) p2 − 2p +1

4) c) x2 − 8x +16

5) c) n2 + 6 n + 9

6) b) v2 + 4v +4

Step-by-step explanation:

1. (x + 5)(x − 5) = x^2 - 25

2. (n − 1)(n + 1) = n^2 - 1

3) (p − 1)^2 = p^2 - 2p + 1

4. (x − 4)^2 = x^2 -8x + 16

5. (n + 3)^2 = n^2 + 6n + 9

6. (2 + v)^2 = v^2 + 4v + 4

Related Questions

What is the product of (x − 3) and (x + 7)? A. x^2 + 4x − 21 B. x^2 − 4x − 21 C. x^2 − 10x − 21 D. x^2 + 10x − 21

Answers

Answer: (x−3)(x+7)

Step-by-step explanation:

=(x+−3)(x+7)

=(x)(x)+(x)(7)+(−3)(x)+(−3)(7)

=x^2+7x−3x−21

=x^2+4x−21

Answer:

A. X^2+4x-21

Step-by-step explanation:

(x−3)(x+7)

=(x+−3)(x+7)

=(x)(x)+(x)(7)+(−3)(x)+(−3)(7)

=x2+7x−3x−21

=x2+4x−21

I hope this helps :) I got it CORRECT also i added the Steps if your teacher asked for steps :)

simplify 20=7z-15 , y+5=29

Answers

answer

20=7z-15

= z=5

y+5=29

= y=24

Answer:

-7z=-15-20 y+5=29

-7z=-5 y=29-5

z=5/7 y=24

Step-by-step explanation:

ther

:) A linear equation written in the form Ax + By = C is in

Answers

Answer:

Standard Form

Step-by-step explanation:

What's the answer to this?

Answers

51/16 ................

Answer:

The answer to this equation is 3 3/16

Step-by-step explanation:

3.
Write the slope-intercept form of the equation for the line.

A. y = 2x – 1

B. y = [tex]\frac{1}{2}[/tex]x – 1

C. y = [tex]\frac{1}{2}[/tex]x + 1

D. y = –2x – 1

Answers

Answer:

I'm gonna go with letter A. y= 2x - 1

Step-by-step explanation:

Answer:

y = 2x -1

Step-by-step explanation:

the line passes through -1 on the graph

it rises 2

and moves right once

Hope this helps ! (:

Help me with this!!!

Answers

Answer:

Yes

Step-by-step explanation:

You can use the perpendicular bisector theorem, because the bisecting line is intersecting at a right angle, which means it is actually perpendicular. Along with IJ and IH being congruent (equal)

Show work and please

Answers

Equation is:
Y=mx +b
From the graph:
Y=-2x+8

Hiioooo!! Can someone please help me with this! ❤️❤️❤️:)

Answers

Answer:

c b a

Step-by-step explanation:

Solve the equation -5x + 3 = 2x - 1

Answers

Step-by-step explanation:

Given

- 5x + 3 = 2x - 1

or, 2x + 5x = 3 + 1

or, 6x = 4

or, x = 4/ 6

Therefore x = 2 /3

Hope it will help :)❤

Step-by-step explanation:

Subtract

from both sides of the equation

−

Simplify

Subtract the numbers

−

Subtract

from both sides of the equation

−

Simplify

Combine like terms

−

Divide both sides of the equation by the same term

−

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

if margrate has a basket of apples and pears. the number of apples equals three more than twice the number of pears. if there are 15 pieces ot fruite altogether how many apple and pears are there?

Answers

Answer:

There are 6 pears and 9 apples.

Step-by-step explanation:

The equation would be a=3+2p

Write the expression as StartFraction a Over 90 EndFraction. Write the expression as 90 – a. Write the expression as a – 90. Substitute 102 in for the variable, a. Simplify by subtracting 90 from 102. Simplify by dividing 102 by 90. The answer is 1.13. The answer is 12.

Answers

Answer:

Write the expression as a – 90

Simplify by subtracting 90 from 102.

The answer is 12.

Step-by-step explanation:

Write and evaluate the expression. Then, check all that

apply

the difference of a number and ninety;

o Write the expression as

when a = 102

Subtraction Words

Write the expression as 90-a.

Write the expression as a -90,

O Substitute 102 in for the variable, a.

Simplify by subtracting 90 from 102.

Simplify by dividing 102 by 90.

decreased by

difference

fewer

The answer is 1.13.

less than

The answer is 12.

subtract

Let

The unknown number = a

The expression is

a - 90

Substitute a = 102

a - 90

= 102 - 90

= 12

The answer is - /C, D, E, H/

- /3, 4, 5, 8/

- "Write the expression as a – 90.",

"Substitute 102 in for the variable, a.",

"Simplify by subtracting 90 from 102.",

"The answer is 12."

I hope it makes sense, you're welcome!

On the grid below, draw the graph of y = 2 - 3x for the values of x from - 3 to 3

Answers

Step-by-step explanation:

slop -3

(x ,y) point that throgh the x,y axis

(0,2), (1,-1), (2, -4),( -1, 5), ( -2, 8) etc you can make the graph by connect the co ordinat point

1
3x +2y - 5z
If
y-42
X
=
find the value of x when y = 6 and z
2
3y

Answers

Answer:

hmmmm i saw something about 13?????

Step-by-step explanation:

Math-geometry 9th grade I rlly need help with this finding x

Answers

Answer:

1)x=11

2)x=9

Step-by-step explanation:

In the picture

I need help please, I will give brainliest to the first 2 people

Answers

Answer:

It's (D)

Step-by-step explanation:

129 divided 50 pls hurry

Answers

Answer:

2.58

Step-by-step explanation:

129/50 = 2.58

Number equivalent to 129 /50 is 2.58 .

Given,

129 divided 50

Using division property,

The rules for division are:

(1) positive × or ÷ positive = positive

(2) positive × or ÷ negative = negative

(3) negative × or ÷ negative = positive

Rule for long division method,

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

Therefore,

divide, multiply, subtract, bring down and repeat or find the remainder.

Here the required value is of :

129/50

= 2.58

Hence the answer is2.58

Know more about division,

brainly.com/question/10703980

#SPJ6

CAN SOMEONE PLEASE HELP ME

Answers

same side exterior angles are two angles that are on the same side and exterior to the parallel lines. they're supplementary

Jessica paid $23,000 for her car. The value of the car depreciates at a rate of 15% each year. Which function represents the value of her car each year?

Answers

Answer:

Step-by-step explanation:

DOES ANYONE KNOW THE ANSWER

A school needs 175 light bulbs.Bulbs come in packages of 15.How many packages should the school order?

Answers

Answer: 12 packages

Step-by-step explanation:

Take 175 and divide it by 15

175/15

You will get 11.6

Since you are unable to order 11.6 packages you will need to order 12 packages to have enough lightbulbs.

Answer:

the school would need to buy 12 pack and that will give them 180 light bulbs they will have 5 leftover

Step-by-step explanation:

15x11=165 thats not enough so they ened to buy 12 packs

Beverly makes wreaths to sell for the fall season. She picked 430 pine cones from the wooded area near her house. If she uses 23 pine cones per wreath, how many wreaths can she make?

Answers

Answer:

18.7 wreaths

Step-by-step explanation:

Beverly makes wreaths to sell for the fall season. She picked 430 pine cones from the wooded area near her house. If she uses 23 pine cones per wreath, how many wreaths can she make?

From the above question:

23 pine cones = 1 wreath

430 pine cones = x wreaths

Cross Multiply

23 pine cones × x wreaths = 430 pine cones × 1 wreath

x wreaths = 430 pine cones × 1 wreath/23 pine cones

x wreaths = 18.695652174 wreaths

Approximately = 18.7 wreaths

Solve the inequality a+4/2>16

Answers

Answer:

a > 14

Step-by-step explanation:

I hope this helps!

The solution to the inequality expression a + 4/2 > 16 is a > 14

How to solve the inequality expression?

The inequality expression is given as:

a + 4/2 > 16

Divide 4 by 2

a + 2 > 16

Subtract 2 from both sides

a > 14

Hence, the solution to the inequality expression a + 4/2 > 16 is a > 14

Answers

Answer:

He paid $60 for this question

Parallel Lines cut by a transversal

Answers

Answer:

-4

Step-by-step explanation:

1. They are alternate exteriors meaning they are supposed to be the same so you sort the equation like 134+x=130

2. Then you pass 134 both side like ×=130

-134

3. Which will equal :-4

The marked price of a stove was $520. A worker bought the stove on hire purchase by making a down payment of $100, and twelve monthly payments of $40 each.
How much could she have saved if she had bought the stove for the marked price?

A) $40
B) $60
C) $100
D) $140

Answers

B) $60 is the answer

Which values for A and B will create infinitely many solutions for this system of equations? A x minus y = 8. 2 x + y = B.

Answers

Answer:

A = -2

B = -8

Step-by-step explanation:

A system of equations has infinitely many solutions when both equations are exactly the same equation, then both graphs intersect in infinitely many points, meaning that the system has infinitely many solutions.

Then if we have the equations:

A*x- y = 8

2*x + y = B

We want to find A and B such that both equations are exactly the same thing.

Notice that in the first one we have negative y, while in the second we have positive y.

Then A needs to be minus the coefficient that multiplies x in the other equation, this means that:

A = -2

And B needs to be minus the corresponding therm in the other equation, then B = -8.

Then the system becomes:

-2*x - y = 8

2*x + y = -8

We can see that one equation is -1 times the other, so if we write both of them as linear equations in the slope-intercept form, we get:

y = -8 - 2*x

So both equations are exactly the same thing, meaning that we have infinitely many solutions.

Felicity cuts 27 equal strips from a 6-yard spool of ribbon. Which expressions show the number of yards for one strip of ribbon

Answers

Answer:

2/9 yards

Step-by-step explanation:

Felicity cuts 27 equal strips from a 6-yard spool of ribbon. Which expressions show the number of yards for one strip of ribbon

From the above question:

27 equal strips of ribbon = 6 yards of spool

1 strip of ribbon = x yards

Cross Multiply

27 strips of ribbon × x yards = 6 yards × 1 strip of ribbon

x yards = 6/27

x yards = 2/9 yards

Therefore, for 1 strip of ribbon we need 2/9 yards

2. You have $500 to invest and have several options available to you.p a. Your banker shows you the graph at right to explain what you can earn if you invest with him. Does this graph represent simple or compound interest? How can you tell? What is the interest rate? Write an equation to represent how much money you would have as time passes. Let x represent time in years.

Answers

Answer:

replace x with number then multiply or divide

Step-by-step explanation:

In the diagram below DE is the midsegment of AABC.
Find the length of DE and BC.

Answers

Answer:

DE = 5

BC = 10

Step-by-step explanation:

ΔAED is a right triangle with legs of 4 and 6/2 = 3

Use the Pythagorean theorem to find DE

[tex]4^{2} + 3^{2} = DE^{2}[/tex]

16 + 6 = 25 = [tex]DE^{2}[/tex]

DE = 5

The midsegment of a triangle is 1/2 the length of the corresponding side.

Therefore, BC = 2 DE = 2(5) = 10 = BC

(20 points) How can a solution to a system of linear equations be determined exactly by graphing?
Please help, i have to have this answered soon and im freaking out.

Answers

Answer:

Free oints

Step-by-step explanation:

When written in factored form, 6w^2-11w−2 is equivalent to

Answers

Answer:

(6w+1)(w-2)

Step-by-step explanation:

Answer:

13w - 2

Step-by-step explanation:

6w² - 11w - 2

24w - 11w - 2

13w - 2

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