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Alisiya [41]
3 years ago
12

Factor Completely: 25x2 - 64

Mathematics
1 answer:
prohojiy [21]3 years ago
6 0
This is a difference of perfect squares which is of the form:

(a^2-b^2)

And which always factors to:

(a-b)(a+b)  

In this case:

(5x-8)(5x+8)
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On a Saturday the library checkout 52 books. If 24 of the books were fiction, what is the ratio of nonfiction books to fiction b
masya89 [10]

52 - 24 = 28

24 : 28 (fiction: nonfiction)

simplify

6 : 7

8 0
3 years ago
Read 2 more answers
What is the y-intercept of y = 1 + 6x?
Tcecarenko [31]

Answer:

Hey!

Your answer is 1 (the y-intercept is 1)

Step-by-step explanation:

x-intercept =  ( − 1/ 6  , 0 )

y-intercept =  ( 0 , 1 )

Explanation:

Slope formula is

=  r i s e/ r u n

 Since 6 is obviously  6/ 1 then...

we know that the slope goes up 6 units

and right 1 unit on a graph.  

Next we have  to find the y-intercept of the line

of y=6x+1, you substitute x as x=0.

y = 6

x + 1

y = 6 ( 0 ) + 1

so then y = 1

HOPE THIS HELPS!!

8 0
3 years ago
Read 2 more answers
please help me evaluate this. the answer is B but im not sure how to get the answer without using a calculator. please show step
iragen [17]

Answer:

  b.  9/100

Step-by-step explanation:

It helps if you have memorized the cubes of small integers. Of course, the ones needed here are ...

  3³ = 27

  10³ = 1000

The desired value can be simplified to ...

  \left(-\dfrac{1000}{27}\right)^{-2/3}=\left(-\sqrt[3]{\dfrac{3^3}{10^3}}\right)^2=\dfrac{(-3)^2}{10^2}=\dfrac{9}{100}

6 0
3 years ago
as a part of its diet, a pacific seahorse eats about 56 shrimp per week.It eats the same amount each day
Furkat [3]

Answer:

The Pacific seahorse eats  8 shrimp per day

Step-by-step explanation:

<u><em>The complete question is</em></u>

As a part of its diet, a Pacific seahorse eats about 56 shrimp per week. It eats  the same amount each day.

a) How much shrimp does the Pacific seahorse eat per day?

Complete the statement with the unit rate.

The Pacific seahorse eats  _____ shrimp per day.

Part a) How much shrimp does the Pacific seahorse eat per day?

Let

x ---> the number of shrimp that the Pacific seahorse eats per day

we know that

The number of shrimp that the Pacific seahorse eats per day, multiplied by the number of days in a week, must be equal to 56 shrimp

1\ week=7\ days

so

The linear equation that represent this situation is equal to

7x=56

solve for x

Divide by 7 both sides

x=8\ shrimp

therefore

The Pacific seahorse eats  8 shrimp per day

5 0
3 years ago
A plumber charges a $45 fee to make a house call and then $25 for each hour of labor. The plumber uses an equation in the form
musickatia [10]

Answer:

$25

Step-by-step explanation:

b= 45

x= number of hours

y= amount charged

3 0
3 years ago
Read 2 more answers
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