Use polynomial identities to prove that 63^2=(60+32)^2

Answers

Answer 1

Answer:

Step-by-step explanation:

I'm not sure, but I think you mean

63^2 = 3969

60^2 =         3600

2*3 * 60 =      360

3^2                    9

Total =         3969

This comes from x^2 + 2*x*y + y^2

where

x = 60

y  = 3


Related Questions

11y = 2y + 45 solve for y.

Answers

Answer:

[tex]y=5[/tex]

Step-by-step explanation:

[tex]11y=2y+45[/tex]

Start by subtracting [tex]2y[/tex] from both sides of the equation:

[tex]9y=45[/tex]

Divide by the coefficient of [tex]y[/tex], which is [tex]9[/tex]:

[tex]y=5[/tex]

_

Check your work by substituting the solved [tex]y[/tex] value ([tex]5[/tex]):

[tex]11(5)=2(5)+45[/tex]

[tex]55=10+45[/tex]

[tex]55=55[/tex]

Since both sides of the equation are equal, our answer is correct!

Answer:

y = 5

Step-by-step explanation:

Solving the equation for y means finding the value of that variable that makes the equality true.

11y = 2y + 45

Subtract 2y from both sides.

11y - 2y = 45

9y = 45

Divide both sides by 9.

y = 5

The GCF of 14 and a number is 7. Which of the following could be the number?

A 49

B 42

C 56

Answers

Answer:

  A  49

Step-by-step explanation:

Any odd number that has 7 as a factor will be a candidate. Of the choices listed, the only possibility is ...

  49

__

If the number is even and has 7 as a factor, then it will be a multiple of 14. That is, the GCF will not be 7, but will be 14. Hence, the number must be an odd multiple of 7.

Need answers to this geometry assignment similarity and similarity transformations

Answers

Answer:

the awnser is c then pust reset and it will give you the awnser

what are the coordinants of the turning point

Answers

ANSWER: the turning point of y = a ( x + b ) 2 + c y=a(x+b)^2+c y=a(x+b)2+c has coordinates ( − b , c ) (-b, c) (−b,c).

A recent article in the paper claims that business ethics are at an all-time low. Reporting on a recent sample, the paper claims that 31% of all employees believe their company president possesses low ethical standards. Suppose 20 of a company's employees are randomly and independently sampled and asked if they believe their company president has low ethical standards and their years of experience at the company. Could the probability distribution for the number of years of experience be modelled by a binomial probability distribution?

Answers

Answer:

The correct solution is "0.127128".

Step-by-step explanation:

The given values are:

p = 0.31

n = 20

Now,

[tex]p(8<x<12)=p(x=9)+p(x=10)+p(x=11)[/tex]

                     [tex]=20C_{9}(0.31)^9\times (0.69)^{11}+20C_{10}(0.31)^{10}\times (0.69)^{10}+20C_{11}\times (0.31)^{11}\times (0.69)^{9}[/tex]

[tex]=0.074955+0.037043+0.015130[/tex]

[tex]=0.127128[/tex]

3x - 4 < 8 and 2x+ 2 > 4
20 points crq

Answers

Answer:

x<4 and x>1

Step-by-step explanation:

1) 3x-4<8

Add 4 to both sides first to isolate x.

3x-4<8

  +4 +4

3x<12

Divide both sides by 3.

3x<12

/3  /3

x<4

2) 2x+2>4

Subtract both sides by 2 to isolate x.

2x+2>4

   -2  -2

2x>2

Divide both sides by 2.

2x>2

/2  /2

x>1

Hope this helped!! Have an amazing day :3

Presbycusis is the gradual hearing loss that occurs as a person ages. An estimated one-quarter of Americans between the ages of 65 and 75 and three-quarters of those older than 75 have some degree of hearing loss.

An audiologist is interested in the efficacy of three different types of hearing aids. He gathers three groups of hearing-impaired clients: One group receives analog hearing aids, which convert sound waves into amplified electrical signals. The second group receives digital hearing aids, which use directional microphones to control the flow of sound and convert the sound waves into numerical codes before amplifying them. The third group receives cochlear implants. The results come in, and a statistician conducts an analysis of variance.

The _____________ is that there is no difference between the population means (in other words, there is no treatment effect).
The ____________ is that at least one of the population means is different from another (in other words, there is an effect of at least one of the treatments).

Answers

Answer:

The answer is the "Null hypothesis and Alternative hypothesis".

Step-by-step explanation:

The null hypothesis is almost like a hypothesis test, which indicates the certain demographic characteristics which aren't varied.

The alternative presumption will be that the hypothesis besides making predictions is opposite to the void assumption. Its posts are generally taken as a result of a meaningful effect.

Difference:

The null hypothesis is indeed a gross generalization, which specifies there is no relation between different phenomenons under evaluation. There is no association between the two groups. An alternate solution hypothesis is a statement, that defines there is a relation between different chosen variables in this study.

Rectangle ABCD has a perimeter represented by the expression 9x + 3. Rectangle PQRS has a
perimeter represented by the expression 6x + 2. Write the expression that represents the
difference in the perimeters of Rectangle ABCD and Rectangle PQRS. Write the steps and
solution.

Answers

Answer:

D. [tex] 3x + 1 [/tex]

Step-by-step explanation:

Perimeter of Rectangle ABCD = [tex] 9x + 3 [/tex]

Perimeter of Rectangle PQRS = [tex] 6x + 2 [/tex]

Difference between perimeter of Rectangle ABCD and Perimeter of Rectangle PQRS:

[tex] (9x + 3) - (6x + 2) [/tex]

Open Parentheses

[tex] 9x + 3 - 6x - 2 [/tex]

Collect like terms

[tex] 9x - 6x + 3 - 2 [/tex]

[tex] 3x + 1 [/tex]

Changing Scales in Scale Drawings- (question in picture attachment)

Answers

i dont get it

Step-by-step explanation:

5
X Х please find the answer
20​

Answers

Answer:

2 or 4

Step-by-step explanation:

Since I do not quite understand what you mean by X X, I could think of two answers. If you are doing 5 times X=20, then X = 4, but if you are trying to do 5 times x times x, then x=2.

Find the midpoint M of the line segment joining the points S=(-2,8) and T=(6,-2)

Answers

Step-by-step explanation:

[tex] \frac{6 + ( -2)}{2} = 2[/tex]

this is for x

[tex] \frac{ - 2 + 8}{2} = 3[/tex]

this is for y

so it will become (2,3)

On Monday, your bank account balance was −$12.90. Because you didn't realize this, you wrote a check for $30.39 for groceries.

Answers

Answer:

$17.49

Step-by-step explanation: You need to subtract $30.39 by $12.90

$30.39

-$12.90

First, its 9 - 0 which will = 9.

Then, 3 - 9. but you can do that so you have to make the 3 in 30, into a 2 then make the 0 in 30 a ten, then make that 10 into a 9, then make the 3 into 13.

So 13 - 9 = 4.

Now you have 9 - 2. Which will = 7.

Last, its 2 - 1 which will = 1.

so after all of that you get: $17.49

Answer:

Step-by-step explanation:

To find the balance, take the old balance and subtract the amount spent on groceries.  next u have to minues -12.90 from 30.39 =17.49

ir
Coffee costs $9 per pound. How much does 600 pounds of coffee cost?

Answers

Answer:

11.400 dollars... is the answer

Answer:

$5400

Step-by-step explanation:

9 x 600 = 5400

PLEASE TELL ME DONT MIND ME TRYING TO ANSWER JUST PLEASEE

Answers

Answer:

18 hours. For 1 hour you packed 10 boxes.

Step-by-step explanation:

The answer it’s 18 hours

5. Mrs. Correa bought a box of 72 pencils and kept 30 of them for herself. She gave the rest to her 6 children so that each had the same number of pencils. Which expression could be used to find the number of pencils each child received? *

Answers

Answer:

(72-30)/6 = 7 is the equation

72-30=42

42/6=7

Step-by-step explanation:

Good luck! <3

Answer:

(72-30) divided by 6

Step-by-step explanation:

You subtract 30 from 72 because Ms.Correa is going to keep them. Then you divide that by 6 of her children to get your answer. 72-30=42, 42/6 = 7

What is the inverse of the function? *
f(x)=3x+1

Answers

Answer:

The inverse of f(x)=3x+1 is f(x)−1=13x−13

Step-by-step explanation:

Answer:

[tex]f(x)^{-1} = \frac{1}{3}x - \frac{1}{3}[/tex]

Step-by-step explanation:

Inverse means the opposite of the original function.

If you take -3/10 of a number and add 1, you get 10. Let x represent the original number. A. Write an equation that represents the situation. B. What is the original number

Answers

Answer:

A. -(3/10)x + 1 = 10

B. x = -30

Step-by-step explanation:

A. first, we know that we are multiplying a number (x) by -3/10 because that's the fraction of the number we are taking. Then, we add one to that number. After doing so, we are told that we get 10. Thus, -(3/10)x + 1 = 10

B. in solving this, first we subtract 1 from both sides, to get

-(3/10)x = 9

then, we divide both sides by -3/10 to get

x = -30

Find f(5). f(x) = x2 +2x

Answers

Answer:

f(5) = 35

Step-by-step explanation:

In any function f(x), x is the input and f(x) is the output

Example:

f(x) = 2x + 3, find f(a)

That means we need to find value of f(x) at x = a, so substitute x by a

f(a) = 2(a) + 3 = 2a + 3

f(a) = 2a + 3

Let us use the same way to solve our question

f(x) = x² + 2x

→ We need to find f(5), so substitute x by 5

∴ f(5) = (5)² + 2(5)

∴ f(5) = 25 + 10

→ Do addition

f(5) = 35

8x - 9 = - 2x + 11 ​

Answers

Answer:

10/3

3.333333

3  1/3

Step-by-step explanation:

hope this helps

What is the greatest whole number that rounds to 2,800 when rounded to the nearest​ hundred? The least whole​ number?

Answers

Answer:

The greatest is 2,799

The lowest is 2,750

Step-by-step explanation:

Answer: The greatest whole number: 2799

The least whole number: 2750

Step-by-step explanation: I just went by the rule five or more round-up.

Human hair has an average diameter of about 0.000017 meters. Write this measurement in scientific notation

Answers

Answer:1.7 x 10 ^ -5

Step-by-step explanation:

Answer:1.7 x 10-5

hope this helps

12x + 7 < -11
OR
5.2 – 8 > 40

Answers

Answer:

x < - 3/2  or x > 48/5  (option a in your list of answers)

Step-by-step explanation:

We solve for x in each inequality:

12 x + 7 < -11

subtract 7 from both sides:

12 x < - 11 - 7

12 x < -18

divide both sides by 12 to isolate "x" on the left:

x < - 18 / 12

simplify a common factor 6 in numerator and denominator on the right:

x < - 3 / 2

Now the other inequality:

5 x - 8 > 40

add 8 to both sides:

5 x > 40 + 8

5 x > 48

divide both sides by 5:

x > 48 / 5

So the answer is:

x < - 3/2  or x > 48/5

which coincides with answer a) in your list.

Determine the intercepts of the graph below please help be sure of your answer

Answers

Answer:

y= 0, .4

x= .3, 0

Step-by-step explanation:

and thats the way the cookie crumbles.

What is is 7(-5v - 8)

Answers

-35v - 56

Hope this helps! :))
-35v-56
-7 x 5v- 7 x 8
-35v - 7 x 8

f(x) = x + 7, g(x) = x - 7
(a) (f + g)(x) =
(b) (f-g)(x)=
(c) (fg)(x)=
(d) (f/g)(x)=

Answers

a) 2x

b) 14

c) x^2 -49

d) -1

What is 70% of 9? (Change 70% to.70 and multiply by 9)

Answers

Answer:

6.3

Step-by-step explanation:

Answer:

W = 6.3

Step-by-step explanation:

Is means equals and of means multiply

W = 70% *9

W = .70*9

W = 6.3

Alex is making a candy that contains 75% white chocolate and the rest peppermint sticks. The candy has 3 pounds
of peppermint sticks.
Part A: Write an equation using one variable that can be used to find the total number of pounds of white
chocolate and peppermint sticks in the candy. Define the variable used in the equation. (5 points)
Part B: How many pounds of white chocolate are present in the candy? Show your work. (5 points)

Answers

Answer:

163

Step-by-step explanation:

ASAP Mr. Morris used the greatest common factor and the distributive property to rewrite the sum 45 + 27. What did he write? please show your work YOU CAN GET BRAINLIEST

Answers

Answer: its 3( 15+9 ) or 9( 5+3 ) go with your gut im srry if im wrong

Step-by-step explanation:

Daichi wo fumishimete

Kimi wa mezameteiku

Dexter rode his bike 2 kilometers. Then, he walked 955 meters more to go fishing. How many total meters did Dexter travel to go fishing?

Answers

Answer:

The Answer is 2955.

Step-by-step explanation:

First convert 2 km to meters. 1 km = 1,000 meters. So, 2 km = 2x1,000. Dexter walked 955 meters. We can add to find out how far he traveled all together. 2,000+955=2,955 meters. Dexter traveled a total of 2,955 meters to fishing.

Answer:

2955

Step-by-step explanation:

someone please help!!!!!!!!!

Answers

Answer:41+108+17=166

And 8×5/6×17=680/30

Step-by-step explanation:I might be wrong bit Hope its right and it helps ;)

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