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Thepotemich [5.8K]
3 years ago
12

Factor 64a^3 -8b^3 Explain all steps.

Mathematics
1 answer:
grandymaker [24]3 years ago
8 0

Answer:

8(2a- b)(4a^2+ 2ab+ b^2)

Step-by-step explanation:

factor out the 8

then you have the sum/difference of cubes..

look that up SOAP: same opposite, always a plus

64a^3 -8b^3\\8(8a^3 -b^3)

8(2a- b)(4a^2+ 2ab+ b^2)

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A poll shows that 41% of voters in a city favor of a $0.0.1 tax increase. If 25 voters are selected at random, what is that exac
juin [17]

Answer:

The probability is 0.026 to 3 d.p

Step-by-step explanation:

To calculate this , we shall be using the Bernoulli approximation.

let P = percentage of voters supporting the increase = 41% = 41/100 = 0.41

q = percentage of voters not supporting = 100-41% = 59% = 59/100 = 0.59

Now we want to calculate that exactly 15 out of 25 will vote in favor

Mathematically that would be ;

25C15 p^15 q^10

= 25C15 0.41^15 0.59^10

= 0.025981307443 or simply 0.026 to 3 decimal places

5 0
3 years ago
Jonathan drinks four and three sixths cups of water in the morning and three and two sixths in the evening. How much did Jonatha
Harrizon [31]

Answer:

2 cups

Step-by-step explanation:

3 + 3 = 6 (one cup)

4 + 2 = 6 (two cups)

7 0
3 years ago
Oliver injured his leg while playing football. Fortunately, he has a health insurance policy. He has a deductible of $2,000, and
yKpoI14uk [10]

Answer:

The Answer is:

Step-by-step explanation:

First, find the 20% that he must pay:

$3,500 * .20 = $700.

The remaining balance is:

$3,500 - $700 = $2,800

He already paid $1,000 of his deductible of $2,000. He has $1,000 left to pay.

Add that to the $700 to get:

$1,000 + $700 = $1,700 out of pocket.

7 0
3 years ago
Help me 20 points ........................
Hitman42 [59]

Answer:

Step-by-step explanation:

First, you need to find the slope of the line. To do this you need to choose two points on the graph. The points you are given are (-2, 1) and (4, 6). Then use these to find the slope.

m=\frac{y2-y1}{x2-x1}

m=\frac{6-1}{4-(-2)}

m=\frac{5}{6}

You can then plug this and one of your chosen points into the slope-intercept formula

y-y=m(x-x)

y-1=\frac{5}{6} (x-(-2))

y-1=\frac{5}{6} x+\frac{5}{3}

y=\frac{5}{6}x+\frac{8}{3}

3 0
3 years ago
Rewrite y=5/6x+5/26 in standard form?
sammy [17]
-5/6x+y=5/26 is in standard form
3 0
3 years ago
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