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steposvetlana [31]
2 years ago
9

Factor completely. 3x^2-3x-18 HINT: Factor out the greatest common factor first.

Mathematics
1 answer:
lubasha [3.4K]2 years ago
3 0

Answer:

3(x - 3)(x + 2)

Step-by-step explanation:

take out a common factor of 3 from each term

= 3(x² - x - 6)

to factor the quadratic consider the factors of - 6 which sum to - 1

These are - 3 and + 2, hence

3x² - 3x - 18 = 3(x - 3)(x + 2) ← in factored form


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Find the midpoint of the segment with the given endpoints.
Ksju [112]

The mid-point for given endpoints is (4,3)

Step-by-step explanation:

a mid-point is the point on a line segment that divides it into two equal portions.

If (x1,y1) and (x2,y2) are the coordinates of vertices of a line segment, then mid-point is given by:

M = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

given

(x1,y1) = (9,9)

(x2,y2) = (-1,-3)

M = (\frac{9-1}{2}, \frac{9-3}{2})\\\\=(\frac{8}{2}, \frac{6}{2})\\\\=(4,3)

The mid-point for given endpoints is (4,3)

Keywords: Coordinate Geometry, Mid-point

Learn more about coordinate geometry at:

  • brainly.com/question/4639731
  • brainly.com/question/4655616

#LearnwithBrainly

5 0
2 years ago
Suzy is starting a babysitting buisness. She spent $ 36 to make signs to advertise. She charges and intial fee of $ 6 and then $
timofeeve [1]

Answer:

3h - 30 > 0

h > 10

Step-by-step explanation:

To make a profit, subtract $36 in cost from the income coming in.

She charges $6 and then $3 per hour or 3h. Her income coming in is 6 + 3h.

Subtract 36 from it to find the profit.

3h + 6 - 36

3h - 30

To make a profit, she needs to make more than $0 or > 0.

3h - 30 > 0

Solve using inverse operations.

3h - 30 > 0

3h > 30

h > 10

3 0
3 years ago
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8 0
3 years ago
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Evaluate the Expression z(z-7) when z=10
Alchen [17]

Answer:

30

Step-by-step explanation:

z(z-7)

Let z= 10

10(10-7)

Parentheses first

10 (3)

Multiply

30

3 0
2 years ago
Read 2 more answers
Select the sets that are not functions.
Kaylis [27]

Answer:

D,E are not functions

Step-by-step explanation:

A function is a relation in which every  input has not more than one output.But the output of the inputs may be same.Here in D the input 1 has 4 different outputs as 1,2,3,4.So its not a function.Similarly in E 6 has 2 outputs as 2 and -1.For remaining sets the inputs has only one output.so they are functions.

7 0
3 years ago
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