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Hoochie [10]
3 years ago
9

Factor each of the following. Remember: It is the reverse of the distributive property and your first step is to find the greate

st common factor of all terms.

Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0
To factor using the reverse of the distributive property, find what common factor the numbers have and what common factor the variables have.

10.

-8x - 16

8 is a factor of both -8 and 16.
The first term has x, but the second term does not, so there is no common variable. The only common factor is 8, or -8.

Factor out a -8:

-8x - 16 = -8(x + 2)

To see if the factorization is correct, multiply the answer using the distributive property. If you get the original expression, then the factorization is correct.

11.

w^2 - 4w

The first term only has a factor of 1. The second term has a 4. There is no common factor between 1 and 4 except for 1, so there is no number you can factor out. The first term has w^2. The second term has w. Both terms have a common factor of w. We can factor out w from both terms.

w^2 - 4w = w(w - 4)

12.

4s + 10rs

4 and 10 have a common factor of 2.
s and rs have a common factor of s.
2 times s is 2s, so the common factor is 2s.
We now factor out 2s

4s + 10rs = 2s(2 + 5r)
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Infinite, because essentially the graph is going to have a horizontal line because f(x)=58/y=58 just means that the y will remain on 58 but the x can have whatever value.
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3 years ago
Solve using the quadratic formula: 2x2-9x+12=0
marta [7]

Answer:

no solution

Step-by-step explanation:

For getting the nature of solution of the quadratic equation of the form:

ax² + bx + c = 0

We need to find Discriminant which is:

Discriminant (D) = b² - 4ac

  • If D < 0, there is no solution of equation.
  • If D = 0, there are two equal and real solution of equation
  • If D < 0, there are two real and distinct solution of equation

Here we have equation is:

2x² - 9x + 12 = 0

∴ a=2, b = -9, c = 12

⇒ D = 81 - 4 × 2 × 12 = -16 < 0

Hence, there is no solution of given equation.

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3 years ago
How do you turn f(x) = 3x 2– 40x + 180 into a graph?
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Answer:

Intersept is (4.55,0)

Step-by-step explanation:

3 0
3 years ago
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Please help! It's about systems of equations. Answer correctly i will mark brainliest
4vir4ik [10]

Answer:

Step-by-step explanation:

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134

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i think im right

Step-by-step explanation:

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