MATHEMATICS HIGH SCHOOL

Which polynomial is a difference of squares? A.x2 – 16x + 64
B.x2 + 4
C.9x2 – x – 36
D.25x2 – 36

Answers

Answer 1
Answer:

Answer

D.25x2 – 36


Explanation

A. x² – 16x + 64

product = 64

sum = -16

factors: -8 and -8

x² – 16x + 64  = x² - 8x - 8x + 64

                       = x(x - 8) - 8(x - 8)

                        = (x - 8)(x-8) = (x-8)²      ⇒ Not a difference of squares


B.x² + 4 = (x² + 2²) ⇒ Not a difference of squares


C.9x² – x – 36

product = - 324

sum = -1

Factors: none

9x² – x – 36  ⇒ Has no perfect roots.


D.25x² – 36

25x² – 36 = (5x)² - 6²   ⇒ This is the difference of squares.

Answer 2
Answer: Hello,

Answer D

25x²-36=(5x)²-6²

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What is the factored form of x^2-36z^2?

Answers

x^2-36z^2

(x-6z)(x+6z)

because...

x*x=x^2

x*6z=6xz \n -6z*x=-6xz \n 6xz-6xz=0

-6z*6z=-36z^2

What is the value of the function when x = −2? y =

A graph of a function. The function graph goes through point negative 2, negative 3 and point negative 3, 0.

Answers

(x,y)
if the point (-2,-3) is on there
x=-2
y=-3

y=-3

Assuming cos t = .45 and cos w = .89, both t and w are positive, and both t and w determine a terminal point in quadrant 4, then which of the following statements best describes the relationship between t and w?A. t > w
B. w > t
C. It is not possible to tell from the given information.

Answers

The statement which describes the best relationship will be W > t

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Cos   -  1 0.45  =  63.3°

Cos   -  1 0.89  =  27.1°

The angle for which t is a reference is 296.7°.

The angle for which w is a reference is 332.9°.

Therefore the statement which describes the best relationship will be W > t.

To know more about expression follow

brainly.com/question/723406

#SPJ5

If the sales tax rate is 7.5%, then how much sales tax would you pay for a $25 pair of pants?

Answers

Answer:

$26.88

Step-by-step explanation:

25(1.075) ≈ 26.88

Answer:

You'd pay $26.88

Step-by-step explanation:

So, you do 7.5%(25).

Then, you have 1.875, which rounds to 1.88

Next, you add 1.88 to 25.

Finally, you got your answer, $26.88

Which is the best estimate of
11 1/5 and 2 3/4

Answers

I think your question lacks a little bit of information. After a little research, I am able to find that you probably wanted to say '11 1/5 divided by 2 3/4'.

Therefore, I am solving the question assuming that you want to say:

''What is the best estimate of 11 1/5 divided by 2 3/4''.

Answer:

The best estimate of  11 1/5 divided by 2 3/4 will be: 4

Step-by-step explanation:

Given the information

11 1/5 divided by 2 3/4

solving the expression

11(1)/(5)/ 2(3)/(4)

\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a(b)/(c)=(a\cdot \:c+b)/(c)

so

  • 11(1)/(5)=(11\cdot 5+1)/(5)=(56)/(5)
  • 2(3)/(4)=(2\cdot 4+3)/(4)=(11)/(4)

so the expression becomes

11(1)/(5)/ 2(3)/(4)\:=(56)/(5)/ \:(11)/(4)

                =(56)/(5)* (4)/(11)

                =(56* \:4)/(5* \:11)

               =(224)/(5* \:11)

               =(224)/(55)

                =4.07

                = 4       (Rounded to the nearest 1 orthe Ones Place)

Therefore, the best estimate of  11 1/5 divided by 2 3/4 will be: 4

How many hours would someone who earns $7.50 per hour have to work to earn $116.25?

Answers

If you would like to know how many hours would someone have to work to earn $116.25, you can calculate this using the following steps:

$7.50 per hour
$116.25 / $7.50 = 116.25 / 7.50 = 15.5 hours

The correct result would be 15.5 hours.
$116.25* (1 hour/ $7.50)= 15.5 hours.
(Note that the unit- $- cancels out so you get the answer)

The final answer is 15.5 hours.
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Daisy works at an ice-cream parlor. She is paid $10 per hour for the first 8 hours she works in a day. For every extra hour she works, she is paid 1.5 times her hourly wage. If Daisy works for x hours in a day, and x is greater than 8, the expression giving her net earnings for the day is (blank).If Daisy works 13 hours, she will be paid (blank).
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