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2 years ago

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:

Our function:

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

Include the exponent:

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

Use the Distributive Property:

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

Add:

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

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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

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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

$x+y=90$ ----> 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
21 + 20
41

Your answer is 41.

6 0

3 years ago

Read 2 more answers

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