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Luda [366]
3 years ago
5

15x^2 - 25 answer with a complete sentence

Mathematics
1 answer:
zubka84 [21]3 years ago
7 0

Answer:

No, the following expression is not a difference of squares. Binomial can not be factored as the  difference of two perfect squares. 3 is not a square.

Step-by-step explanation:

Factor

15x^2 - 25

(15x)^2(-5)^5

Divide by 3 and factor

5(3x^2-5)

"Theory:

A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression."

I put a picture to help u understand.

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Answer:25 is the answer

Step-by-step explanation:

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3 years ago
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A student divided 10 meters of wire into 6 equal parts. Which type of number describes the length of each part?
Kobotan [32]

When 10 meters of something is divided into 6 equal parts,
then each part is (1,666 and 2/3) millimeters long.

A).  Whole number . . . No, that's not a whole number

B).  Interger . . . No, there's no such thing as an 'interger'.

C).  Rational number . . . Yes, its the ratio of  10,000 to  6 .

D).  Irrational number . . . No, it's not irrational.


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4 years ago
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What is the slope of the line through (-1,4) and (1.-2)?
Wittaler [7]

Answer:

A. -3

Step-by-step explanation:

(4) - (-2) = 6

(-1) - (1) =  -2

6/-2

/2

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3 0
2 years ago
Alex went to the grocery store and bought 5 avocados. He paid $10 and received $4.50 in change. How much did each avocado cost i
Delvig [45]

Answer:

$1.10

Step-by-step explanation:

We have been that Alex went to the grocery store and bought 5 avocados. He paid $10 and received $4.50 in change.

First of all, we will find amount paid for 5 avocados by subtracting $4.50 from $10.

\text{Amount paid for 5 avocados}=\$10-\$4.50

\text{Amount paid for 5 avocados}=\$5.50

Now, we will divide $5.50 by 5 to find cost of each avocado.

\text{Cost of each avocado}=\frac{\$5.50}{5}

\text{Cost of each avocado}=\$1.10

Therefore, the cost of each avocado is $1.10.

3 0
3 years ago
Find the x-intercept of the parabola with vertex (1,-13) and y-intercept (0,-11).
Advocard [28]
1. find equation

general solutions are:
y = a x^{2} +bx +c \\ \\ \frac{dy}{dx} = 2ax +b

for P(0,-11)

-11 = 0a + 0b +c ⇒c = -11

for p(1,-13)
-13 = 1a + 1b -11 \\ a+b = -2

and

0 = 2a + b \\ b = -2a

solve for a and b:
a - 2a = -2 \\ a = 2 \\ b = -4

the total equation is now:

y = 2 x^{2} -4x -11

To find the x-intercept set y=0 and solve for x

0 = 2 x^{2} -4x-11
4 0
3 years ago
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