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dem82 [27]
2 years ago
6

Factor 5a^2-30a+45, and 2x^5+x^4-2x-1.

Mathematics
1 answer:
Mrrafil [7]2 years ago
6 0

Step-by-step explanation:

{5a}^{2}  - 30a + 45

5( {a}^{2}  - 6a + 9)

5(a-3)(a-3)

5(a-3)^2

{2x}^{5}  +  {x}^{4}  - 2x - 1

X^4(2x+1) - (2x+1)

(x^4-1)(2x+1)

(x^2-1)(x^2+1)(2x+1)

(x-1)(x-1)(x^2+1)(2x+1)

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A driver who drives at a speed of r mph for t hr will travel a distance d mi given by dequalsrt mi. How far will a driver travel
liubo4ka [24]

Answer:

At a speed of 57 mph for 8 hr a driver will travel 456 mi

Step-by-step explanation:

Here we have a summary of the letters for each variable:

Speed ---> r          (in units of mph)

Time ---> t            (in units of hr)

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These three variables are related by the next formula:

d = rt

In the data they give to you: 57 mph and 8 hr, they are telling you the r and the t, respectively:

r = 57 mph

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The only thing you have to do is replace the values:

d = rt    ---->     d = 57 mph x 8 hr

                        d = 456 mi

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