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cricket20 [7]
3 years ago
13

Factor completely 2x² − 12 + 10

Mathematics
1 answer:
NeX [460]3 years ago
5 0

Answer:

2(x + 1)(x - 5)

Step-by-step explanation:

  First you need to find the GCF (greatest common factor). Each term has 2 in common. Factor the 2 out of each term. 2(x²- 6x + 5)

Next you need to solve inside the parenthesis with an x-puzzle. 2(x+1)(x-5)

Check your answer by multiplying. You should get the expression you began with. 2x² - 12 + 10

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4. A cone has a height of 4 and a base area of 9pi. What is it's volume? <br><br> Show work
OLEGan [10]

V= 1/3 times pi times radius squared times height

V= 1/3 • 3.14 • 4.5 squared • 4(4.5 because 9 divided by 2)

V= 1/3 • 3.14 • 20.25 • 4

V= 1.0466 • 81

V= 84.7746 units cubed

If told to round to nearest tenth then 84.8 , if hundreds then 84.78

3 0
3 years ago
Carl earned grades of 62, 78, 59, and 89 on four math tests.
QveST [7]

Answer:

Mean, m = 72

Step-by-step explanation:

It is given that, Carl earned grades of 62, 78, 59, and 89 on four math tests.

It is required to find the mean of his grades.

Mean of a data is given by :

m=\dfrac{\text{sum of observations}}{\text{total no of observations}}

Sum of observations is 62 + 78 + 59 + 89 = 288

Total no of observations are 4

So, mean of his grades is :

m=\dfrac{288}{4}\\\\m=72

So, the mean of his grades is 72.

7 0
3 years ago
You roll two dice. How many ways can you<br> roll a sum of 8 or a sum of 10?
dezoksy [38]

Answer:

There are Five different ways.

Step-by-step explanation:

Sum: 8 Combinations 5 Probablity: 13.89%

Sum: 10 Combinations   3 Probability: 8.33%

5 0
3 years ago
Given collinear points E, F and G such that point F is the midpoint of segment EG. Find the new length of EG given that EF =5x+9
Veseljchak [2.6K]

Answer:

The length of EG is 58 units

Step-by-step explanation:

The midpoint of a segment divides it into two equal part

Let us use this rule to solve our question

∵ E, F, and G are collinear points

∵ Point F is the midpoint of segment EG

→ That means F divides EG into 2 equal segments EF and FG

∴ EF = FG

∵ EF = 5x + 9

∵ FG = 3x + 17

→ Equate them

∴ 5x + 9 = 3x + 17

→ Subtract 3x from both sides

∵ 5x - 3x + 9 = 3x - 3x + 17

∴ 2x + 9 = 17

→ Subtract 9 from both sides

∴ 2x + 9 - 9 = 17 - 9

∴ 2x = 8

→ Divide both sides by 2 to find x

∵ \frac{2x}{2}=\frac{8}{2}

∴ x = 4

→ Substitute x by 4 in EF and FG to find their lengths

∵ EF = 5(4) + 9 = 20 + 9 = 29

∵ FG = 3(4) + 17 = 12 = 17 = 29

∵ EG = EF + FG

∴ EG = 29 + 29 = 58

∴ The length of EG is 58 units

6 0
3 years ago
50% of the apartments in a certain building have windows and hardwood floors. 25% of the apartments without windows have hardwoo
alexdok [17]

Answer:E 83\frac{1}{3}

Step-by-step explanation:

50% of the apartment in a certain building have windows and hardwood floors.

25% of the remaining 50% apartment without window have hardwood floors.

40% of the apartment do not have hardwood floors i.e. 60 % have hardwood floor

Therefore percent of the apartments with windows have hardwood floors is

=\frac{50 percent of total\ apartment }{60\ percent\ of\ apartment}

=83\frac{1}{3}%

6 0
3 years ago
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