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Gekata [30.6K]
3 years ago
6

Given f(x) = 2x² + 4 and g(x) = 3x – 1 …… What is (fg)(x)? Show your work.

Mathematics
1 answer:
Lelu [443]3 years ago
6 0

Answer:

(fg)(x) = 6x³ - 2x² + 12x - 4

Step-by-step explanation:

( f g ) ( x ) = f ( x ) * g ( x )

f(x) = 2x² + 4

g(x) = 3x – 1

( f g ) ( x ) = (2x² + 4) (3x – 1)

               = 6x³ - 2x² + 12x - 4

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Step-by-step explanation:

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Shana is climbing a mountain at a constant pace. She rises in elevation by 17.5 feet per minute. After hiking for 30 minutes, a
Mnenie [13.5K]

Answer:

The linear equation for Shana's elevation is E = 17.5\cdot t+1640.

Step-by-step explanation:

According to the statement, we find that Shana is climbing at constant rate in time and height as a function of time can be represented by linear function:

E = h_{o}+\dot h\cdot t (Eq. 1)

Where:

h_{o} - Initial height above sea level, measured in feet.

E - Elevation above sea level, measured in feet.

\dot h - Climbing rate, measured in feet per minute.

t - Time, measured in minutes.

If we know that E = 2165\,ft, \dot h = 17.5\,\frac{ft}{min} and t = 30\,s. the initial height above sea level is:

h_{o} = E - \dot h\cdot t

h_{o} = 2165\,ft-\left(17.5\,\frac{ft}{min} \right)\cdot (30\,min)

h_{o} = 1640\,ft

The linear equation for Shana's elevation is E = 17.5\cdot t+1640.

7 0
3 years ago
Which equation shows the result of substituting and expression for y from the first equation into the second equation for the gi
krek1111 [17]

Answer:

x-2x = -3 and x = 3

Step-by-step explanation:

Given the expression

y=x+5.... 1

y-2x=2.... 2

Substituting the first equation into the second we will have;

From 2;

y -2x = 2

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x-2x +5 = 2

x-2x = 2-5

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x =3

Hence the required equation is x-2x = -3 and x = 3

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rusak2 [61]
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(x - 3)(x - 1) = 0
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or 

m(x) = x² - 4x + 3
Δ = (-4)² - 4 · 1 · 3
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√Δ = √4
√Δ = 2

x = (4 - 2)/2 ∧ x = (4 + 2)/2
x = 2/2 ∧ x = 6/2
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3 years ago
let a and b be rational the difference between a and b is sometimes rational always rational or never rational
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