MATHEMATICS
MIDDLE SCHOOL

Answer:

Answer:

Step-by-step explanation:

The given quadratic function is

We complete the square to obtain the vertex form;

Add and subtract half the coefficient of

Factor by identifying the perfect square

Simplify to obtain the vertex form as

MIDDLE SCHOOL

Which expression is equivalent to 24 b minus 34 a b?

Answer:

12b-17ab

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, 24b-34ab should be equal to 12b-17ab

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

BTW, brainliest would be greatly appreciated, I only need one more before I advance, thanks!

12b-17ab

12b-17ab=24b-34ab

12b-17ab=24b-34ab

HIGH SCHOOL

Which function transforms the graph of y=x^2 so that it is first shifted down 2 units and is then reflected across the x-axis? A.

B.

C.

D.

the awnser should be -x^2 +2

Answer:

y = -x^2+2

Step-by-step explanation:

shift down y=x^2 for 2 units then it becomes y = x^2-2

reflect across x-axis then it becomes y = -(x^2-2) which is y = -x^2+2

MIDDLE SCHOOL

3 -1 ___ 1/4 = < > help me

Answer:

3 -1 > 1/4

Step-by-step explanation:

On the left hand side we have the expression;

3 - 1

3- 1 = 2

On the right hand side we have the value;

1/4

Therefore we are comparing 2 and 1/4

Since 2 is greater than 1/4 we have;

2 > 1/4

3 -1 > 1/4

HIGH SCHOOL

After the first quarter of last year, a company posted a net income of $552 million. If this had continued, what would the company's net income have been after all 4 quarters?

Answer:

$2.208 billion

Step-by-step explanation:

4 × $552 million = $2208 million = $2.208 billion

_____

The wording "if this had continued" means you are to assume that all four quarters have the same net income. Then their total will be 4 times the income for one quarter.

MIDDLE SCHOOL

Make this a perfect square trinomial

x^2+22+_

HELP PLSSSS

Do you mean 22x? If so, the third value would be 121. You take the middle value, in this case 22, and divide it in half then square it. Basically, 22/2 = 11, then 11^2 = 121. This only works if the equation is x^2+22x+(the unknown value, which in this case would be 121). To further simplify this equation, you find a value/values that would multiply to get the third value, 121, and would also add up to the second value, 22. 11 satisfies these requirements, and since the entire equation is positive, you can rewrite it as: (x+11)^2. Hope this helps! Sorry for giving more information than necessary, just want to make sure you understand the topic!

HIGH SCHOOL

What two numbers multiply to 24 and add to 13?

A) x * y = 24

B) x + y = 13

A) y = 24 / x Substituting this into B)

B) x + 24 / x = 13

B) x^2 + 24 = 13x

B) x^2 -13x + 24 = 0

x = 10.772

y = 2.228

(Gee, usually these problems have integers for answers.)

B) x + y = 13

A) y = 24 / x Substituting this into B)

B) x + 24 / x = 13

B) x^2 + 24 = 13x

B) x^2 -13x + 24 = 0

x = 10.772

y = 2.228

(Gee, usually these problems have integers for answers.)

MIDDLE SCHOOL

The ordered pairs (2, -21) and (5, -45) are solutions to which of the following equations? A. y=-8x-5

B. y=-8x+5

C. y=8x-5

D. y=8x+5

Answer:

A. y = -8x -5

Step-by-step explanation:

You will notice that when x increases from 2 to 5, y decreases from -21 to a number that is more negative. Thus only the first two answer choices are possibilities, since the others have a positive coefficient for x.

Trying the first given point in the first answer choice, we see that it works:

-21 = -8·2 -5

so, that is the equation we're looking for.

y = -8x -5

HIGH SCHOOL

Which type of polygon has seven sides? a. hexagon b. decagon c. heptagon d. octagon

The answer is C. Heptagon

the answer is C. heptagon hope it helps

MIDDLE SCHOOL

What are the distinct factors of 48

The distinct factors of 48 are 1, 2, and 3 .

1 x 2 x 2 x 2 x 2 x 3 = 48