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RUDIKE [14]
3 years ago
12

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.

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Please help! .........
stira [4]

Answer:

1) When x is 1, y is 4, and vice versa

2) When x is -6, y is 42, and when x is 7, y is 114

3) When x is -2, y is 2, and when x is 8, y is 42

Step-by-step explanation:

1)

y=x^2-6x+9

y+x=5 which can be rearranged as y=5-x.

Substituting this lone y into the first equation, you get:

5-x=x^2-6x+9

Move everything to one side:

x^2-5x+4=0

Factor:

(x-4)(x-1)=0

x=1, 4

y=4, 1

2)

y-30=12x which can be rearranged as y=12x+30.

y=x^2+11x-12

Let's use elimination this time and subtract the first equation from the second:

0=x^2-x-42

Factor:

(x-7)(x+6)=0

x=-6, 7

y= -42, 114

3)

y=x^2-2x+6

y=4x+10

Let's set the two equations equal to each other through substitution:

x^2-2x-6=4x+10

Move everything to one side:

x^2-6x-16=0

Factor:

(x-8)(x+2)=0

x=-2, 8

y= 2, 42

Hope this helps!

6 0
3 years ago
The numbers of cars (c) in the parking lot increases when the parking fee (f) decrease. Write the correct equation for this scen
vodka [1.7K]
So when one goes up, the other goes down. This is an inverse equation.

An inverse equation looks like this: y = 1/x

In this case, when parking fee (f) decreases, cars (c) increase.
You know which side to put each variable on using the chart they gave you.
f         | c
20.00  15        (20.00 = x/15) x=300
30.00  10        (30.00 = x/10) x=300

So your equation in this case is f = 300/c
Knowing that, plug in the fee of 6.00

6 = 300/c   Multiply both sides by c.
6c = 300    Divide both sides by 6.
c = 50 cars

5 0
3 years ago
Hey everyone! Please help me figure this out...
shepuryov [24]

Answer:

See below

Step-by-step explanation:

0.82=82/100=82%

22%=22/100=0.22

3/4=0.75=75/100=75%

0.8=0.80=80/100=80%

Hope this helps!

5 0
3 years ago
Read 2 more answers
Please I need the correct answer please
Rzqust [24]

(<u>−1</u>

2  )(n^3)+

<u>1</u>

2 n^2+4.6n+(−

<u>1</u>

2)(n^3)+

<u>1</u>

2  n^2+4.5n

=

<u>−1</u>

2  n^3+

1

2  n^2+4.6n+

−1

2  n^3+

1

2  n^2+4.5n

Combine Like Terms:

=

<u>−1</u>

2  n^3+

<u>1</u>

2  n^2+4.6n+

<u>−1</u>

2  n^3+

<u>1</u>

2  n^2+4.5n

=(<u>−1</u>

  2   n^3+

<u>−1</u>

2   n^3)+(

<u>1</u>

2  n^2+

<u>1</u>

2   n^2)+(4.6n+4.5n)

=−n^3+n^2+9.1n

Answer:

=−n^3+n^2+9.1n

     Everything underlined means its a  fraction/divided hope this helps <em>:D</em>

8 0
3 years ago
One city's highest temperature during this passed summer was 34 degrees Celsius, a second city's highest temperature over
PtichkaEL [24]

Answer:

\°F = 93.2

City 2 has a higher temperature

Step-by-step explanation:

Given

\°F = (\°C * 9/5) + 32

City\ 2 = 97\°F

Required

Convert 34°C to °F

Substitute 34 for C in the above formula:

\°F = (34 * 9/5) + 32

\°F = 61.2 + 32

\°F = 93.2

<em>Comparing 93.2 to City 2's temperature of 97; we can conclude that city 2 has a higher temperature</em>

3 0
3 years ago
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