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notka56 [123]
3 years ago
11

Factor the expression 4r^2 - 64

Mathematics
2 answers:
elena55 [62]3 years ago
7 0

For this case we must factor the following expression:

4r ^ 2-64

We take common factor 4:

4 (r ^ 2-16)

We factor the expression within the parenthesis:

4 [(r-4) (r + 4)]

Finally we have that the factored expression is:

4 [(r-4) (r + 4)]

Answer:

4 [(r-4) (r + 4)]

Shkiper50 [21]3 years ago
5 0

Answer:

4(r+4)(r-4)

Step-by-step explanation:

If you factor it out, then it will be 4(r+4)(r-4). You can double check by multiplying it.

You might be interested in
How many liters each of a 25% acid solution and a 50% acid solution must be used to produce 80 liters of a 40% acid solution?
alina1380 [7]

Answer:

  • 32 and 48 liters

Step-by-step explanation:

Let 25% solution is x liters, then 50% solution is (80 - x) liters.

<u>Acid content is going to be same:</u>

  • 0.25x + 0.5(80 - x) = 80*0.4
  • 0.25x - 0.5x + 40 = 32
  • 0.25x = 8
  • x = 8/0.25
  • x = 32 liters

So 32 liters of 25% solution and 80 - 32 = 48 liters of 50% solution

4 0
3 years ago
Peanuts cost $12.00 for 2.5 pounds.How much for 1 pound
solmaris [256]

Answer:

$4.80

Step-by-step explanation:

Make a proportion

$12 for 2.5 pounds, and $x for 1 pound

12/2.5=x/1

x/1 is equivalent to x

12/2.5=x

Divide

x=4.8

So, one pound of peanuts costs $4.80

6 0
3 years ago
Read 2 more answers
Out of students appeared in an examination 75% passed in English, 55%. passed in Mathematics, 5% failed in both subjects and 21
rusak2 [61]

Based on the percentage that passed English and those who passed Mathematics and those who failed and passed both, the total number of students who appeared in the examination are 60 students.

The number of students who passed only in Math are 12 students.

<h3>What number of students sat in the exam?</h3>

This can be found as:

= Total who passed English only + Total who passed Math only + Total who failed both + Total who passed both

Assuming the total is n, the equation becomes:

n = 0.75n - 21 + 0.55n - 21 + 21 + 0.05n

n = 1.35n - 21

21 = 0.35n

n = 21 / 0.35

= 60 students

The number who passed mathematics only is:

= (60 x 55%) - students who passed both

= 33 - 21

= 12 students

Find out more on Venn diagrams at brainly.com/question/24581814

#SPJ1

4 0
1 year ago
The function h(x) is given below.
zavuch27 [327]

The inverse function will be h⁻¹(x) = {(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}. Then the correct option is B.

<h3>What is inverse of a function?</h3>

Suppose that the given function is

f:X → Y

Then the inverse of the considered function will be

f⁻¹: Y → X

The function h(x) is given below.

h(x) = {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}

Then the coordinate of the inverse function gets swapped.

h⁻¹(x) = {(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}

Then the correct option is B.

Learn more about inverse function here:

brainly.com/question/19425567

#SPJ1

8 0
2 years ago
(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9 is this correct
faust18 [17]

Answer:

No!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! NO NO NO NO NO... SEE BELOW!!!!!!

Step-by-step explanation:

LOL I like caps!!! and !'s

To question

If 5x3 is 5x^3 then...

5x^3 times 2 equals 10x^3 no 10x^6

So the end result will be 10x^3\\ + 9

5 0
3 years ago
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