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Nonamiya [84]
3 years ago
9

Given that f(x) x2 + 3x 10 and g(x) = x – 2, find f (x) · g(x) and

Mathematics
1 answer:
lakkis [162]3 years ago
4 0

Answer:

x^3 + x^2 + 4x - 20.

Step-by-step explanation:

I have assumed there is a + between the 3x and the 10.

f(x) * g(x)

= (x^2 + 3x + 10)(x - 2)

=  x^3 + 3x^2 + 10x - 2x^2 - 6x - 20

= x^3 + x^2 + 4x - 20.

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Erica is participating in a road race. The first part of the race is on a 5.2-mile-long straight road-oriented at an angle of 25
kap26 [50]

Answer:

6.31 mi

Step-by-step explanation:

The diagram below explains the solution better.

From the diagram,

C = starting point of the race.

A = end of the first part of the race.

B = end of the race.

Using Cosine rule, we can find the straight-line distance between the starting point and the end of the race.

Cosine rule states that:

a^2 = b^2 + c^2 - 2bc[cos(A)]

where A = angle A = <A

Given that

b = 5.2 miles

c = 2.0 miles

<A = 115° (from the diagram)

Hence,

a^2 = 5.2^2 + 2.0^2 - 2*5.2*2.0[cos(115)]\\\\a^2 = 27.04 + 4 - 20.8[cos(115)]\\\\a^2 = 31.04 + 8.79\\\\a^2 = 39.83\\\\a = \sqrt{39.83}\\ \\a = 6.31 mi

The straight-line distance between the starting point and the end of the race is 6.31 mi

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3 years ago
-2.2.8.4<br> Find the distance between the two numbers on a number line
GREYUIT [131]

Answer:

10.6

Step-by-step explanation:

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5 0
3 years ago
Cos (A+B) =1/5<br>COS (A-B) = 3/5<br>Then find tan (A-B)​
Soloha48 [4]

Answer:

tan (A-B)​ = ± 4/3

Step-by-step explanation:

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sin² (A-B) = 1 - 9/25 = 16/25

sin (A-B) = ± 4/5

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Lelu [443]
S=a1/1-r=10 x 6/5 = 12
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