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Arlecino [84]
2 years ago
8

Which function is equivalent to y = 3(x + 2)2 + 7 ?

Mathematics
1 answer:
Troyanec [42]2 years ago
5 0

Step-by-step explanation:

<u>Our function:</u>

y = 3(x + 2)^{2}  + 7

<u>Include the exponent:</u>

y = 3(x^{2}  + 4) + 7

<u>Use the Distributive Property:</u>

y = 3 {x}^{2}  + 12 + 7

<u>Add:</u>

\boxed{y = 3 {x}^{2}  + 19}

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3 years ago
Am I right or if not what is it. :)
dangina [55]

Answer:

Step-by-step explanation:

That is correct.

P=4s=4(12)=48in

A=s^2=12^2=144in^2

8 0
3 years ago
Read 2 more answers
An angle measured 10 degrees less than the measure of its complementary angle. Find the measure of both angles
Mazyrski [523]

Answer:

The measure of the angles are 40 degrees and 50 degrees

Step-by-step explanation:

Let

x ----> the measure of one angle in degrees

y ----> the measure of the complementary angle in degrees

we know that

If two angles are complementary, then their sum is equal to 90 degrees

so

x+y=90 ----> equation A

we have that

x=y-10 ----> equation B

Substitute equation B in equation A and solve for y

(y-10)+y=90\\2y-10=90\\2y=100\\y=50

Find the value of x

x=50-10=40

therefore

The measure of the angles are 40 degrees and 50 degrees

3 0
3 years ago
If 2x+5= 12 for some value of x, then what does 6x+20 equal???
ANEK [815]
1. Solve for x in 2x + 5 = 12
2x + 5 = 12       Subtract 5 from both sides.
2x = 7               Divide 2 from both sides.
x = 3.5

2. Substitute 3.5 in for x in 6x + 20
6(3.5) + 20
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41

Your answer is 41.


6 0
3 years ago
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15x^2 - 25 answer with a complete sentence
zubka84 [21]

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.

7 0
3 years ago
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