All categories

3 years ago

Which of the following is a fully factored expression of 24x – 56y + 72?

Mathematics

2 answers:

gulaghasi [49]3 years ago

7 0

24x-56y+72

8(3x-7y+9)

Verdich [7]3 years ago

6 0

Answer:

Option C.

Step-by-step explanation:

The given expression is

$24x-56y+72$

We need to find the fully factored expression of given expression.

The given expression can be rewritten as

$8\times 3\times x-8\times 7\times y+8\times 9$

Now, it is clear that 8 is the GCF in all terms.

Taking GCF, we get

$8(3x-7y+9)$

It is the fully factored form of the given expression.

Hence, the correct option is C.

You might be interested in

8. Caitlyn wants to build a fence around her flower garden,

ioda

Answer:

Step-by-step explanation:

5 0

2 years ago

The gasoline tank in Deborahs car holds 13.2 gallons. When her gas gauge says that the tank is 1/4 full, how many gallons of gas

lesantik [10]

Answer:

3.3

Step-by-step explanation:

8 0

3 years ago

Please actually answer this it has a good amount of points!

Vanyuwa [196]

The answer is D, "No, because two points with the same x-value have different y-values."

Essentially, there cannot be more than one point on the same x-line. Point (2, 11) and point (2, 2) are on the same x-line, which is 2.

Hope this helps!

6 0

3 years ago

The roots of the quadratic equation $z^2 + bz + c = 0$ are $-7 + 2i$ and $-7 - 2i$. What is $b+c$?

Alexxx [7]

Answer:

Step-by-step explanation: Given the quadratic equation $z^2 + bz + c = 0$, Vieta's formulas tell us the sum of the roots is $-b$, and the product of the roots is $c$. Thus,

\[-b = (-7 + 2i) + (-7 - 2i) = -14,\]so $b = 14.$

Also,

\[c = (-7 + 2i)(-7 - 2i) = (-7)^2 - (2i)^2 = 49 + 4 = 53.\]Therefore, we have $b+c = \boxed{67}$.

There are many other solutions to this problem. You might have started with the factored form $(z - (-7 + 2i))(z - (-7 - 2i)),$ or even thought about the quadratic formula.

This is the aops answer :)

8 0

2 years ago

F(-1) if f(x)= 4x^2<br> Help solve please

nasty-shy [4]

Answer:

Option C, $f(-1) = 4\\$