All categories

3 years ago

In the function f(x) = 4(x2 − 6x + ____) + 20, what number belongs in the blank to complete the square?

1 answer:

3 0

The right answer for the question that is being asked and shown above is that: In the function f(x) = 4(x2 − 6x + ____) + 20, what number belongs in the blank to complete the square?

x2 - 6x + 9

So the answer on the blank space is 9. It should be a perfect square.
= 6/2
= 3^2
= 9
<span>
</span>

You might be interested in

Which statements are true for verifying the solution set of StartAbsoluteValue negative 2 x + 8 EndAbsoluteValue less-than 12 as

mariarad [96]

Answer:

I had to go back and double check, this was kind of confusing asking if saying this statement is true or false is true or false. So keep your eye on that. as long as x is between (but not equal to) -2 and 10 then the inequality is true. Fromt here you have to see if the option is SAYING it is true or not.

Step-by-step explanation:

I am assuming this is saying |-2x+8|<12 as -2 < x < 10

Substituting 10 for x into the original inequality will create a false statement.

True, since x has to be explicitly LESS THAN 10, not equal

Substituting 6 for x into the original inequality will create a false statement.

False, 6 is greater than -2 and less than 10

Substituting 20 for x into the original inequality will create a true statement.

False, greater than 10

Substituting –20 for x into the original inequality will create a false statement.

True. Kinda confusing since it is asking if it is a false statement. It is TRUE that it is a false statement.

Substituting –10 for x into the original inequality will create a true statement.

False, x needs to be between -2 and 10 (explicitly between and not equal to) to be true.

Substituting 0 for x into the original inequality will create a true statement

True, it is between -2 and 10

8 0

3 years ago

Read 2 more answers

tinas grandmother has an antique metal box in the shape of a rectangular prisim.It is 12 inches tall and has a square base that

telo118 [61]

Find the volume by multiplying the width by the length by the hight. so 4 times 4 times 12. and you get 192 cubic inches.

6 0

3 years ago

6 * 2/8 =<br> (Write as a fraction or a mixed number)

Lerok [7]

It would be 3/2 or 1.5

3 0

3 years ago

Read 2 more answers

Factor........................

elena55 [62]

For this case we have a quadratic polynomial given by:

$6x ^ 2-7x-5$

Where:

$a = 6\\b = -7\\c = -5$

We must factor, for this we follow the steps below:

Step 1:

The term of the medium must be rewritten as the sum of two terms, whose sum is -7 and the product is $a.c = 6 * (- 5) = - 30$ :

Then, the term of the medium, fulfilling the two previous conditions, can be written as:

$-10x + 3x$

We check:

$-10 * 3 = -30\\-10 + 3 = -7$

So, we have:

$6x ^ 2-10x + 3x-5$

Step 2:

The maximum common denominator (the largest integer that divides them without leaving residue) of each group is factored

$6x ^ 2-10x + 3x-5\\2x (3x - 5) + 1 * (3x - 5)$

Step 3:

We take common factor $(3x - 5)$ :

$(3x - 5) (2x + 1)$

Thus, the expression $6x^2-7x-5$ can be factored as:

$(3x - 5) (2x + 1)$

Answer:

$(3x - 5) (2x + 1)$

3 0

3 years ago

Jerry is making 2 kinds of cakes. One needs 18/20 cup of flour and the other needs 3/8. Estimate how much flour he needs

zvonat [6]

bearing in mind that the LCD in this case for those two denominators is 40, so let's use that for the sum

$\bf \cfrac{18}{20}+\cfrac{3}{8}\implies \stackrel{\textit{using the LCD of 40}}{\cfrac{(2)18+(5)3}{40}}\implies \cfrac{36+15}{40}\implies \cfrac{51}{40}\implies 1\frac{11}{40}$

8 0

4 years ago