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tangare [24]
2 years ago
10

Let f(x) = 2x - 1, g(x) = x²- 2 x+ 1. find (f• g ) (x)​

Mathematics
1 answer:
Nana76 [90]2 years ago
7 0

Answer:

f•g(x) = f(x)•g(x)

f•g(x) = (2x-1) (x²-2x+1)

= 2x³-4x²+2x-x²+2x-1

= 2x³-5x²+4x-1

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Design a sine function with the given properties:
Rom4ik [11]

Answer:

f(x)=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13.

Step-by-step explanation:

Given information:

Period = 24 hr

Maximum = 16 at t=16 hr.

Minimum = 10 at t=4 hr.

The general sin function is

y=A+\sin(B(x-C))+D        .... (1)

where, |A| is altitude, \frac{2\pi}{B} is period, C is phase shift and D is midline.

Period is 24 hr.

24=\dfrac{2\pi}{B}\Rightarrow B=\dfrac{\pi}{12}

Altitude is

A=\dfrac{Maximum-Minimum}{2}=\dfrac{16-10}{2}=3

D=\dfrac{Maximum+Minimum}{2}=\dfrac{16+10}{2}=13

The function is minimum at t=4 and maximum at t=16,phase shift is

C=\dfrac{16+4}{2}=10

Substitute these values in equation (1).

y=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13

Therefore, the required function is f(x)=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13.

8 0
2 years ago
Write the equation of the line that passes through the given lines (0,-2) and (4,1)
Gala2k [10]

Answer:

y = 3/4x - 2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step 1: Define

(0, -2) y-intercept

(4, 1) random point

Step 2: Find slope <em>m</em>

<em />m=\frac{1-(-2)}{4-0}<em />

<em />m=\frac{1+2}{4}<em />

<em />m=\frac{3}{4}<em />

y = 3/4x + b

Step 3: Write linear equation

y = 3/4x - 2

7 0
3 years ago
Translate the algebraic expression in written language: 9 - x²​
Assoli18 [71]

Answer:

nine minus x square

8 0
2 years ago
A gardener is planting two types of trees:Type A is three feet tall and grows at a rate of 15 inches per year.Type B is four fee
Sliva [168]
First, construct two equations.
Then, equal the two equations to each other like this -

x will be the years.

Type A. Type B

3x + 15 = 4x + 10
- 15. - 15

3x = 4x - 5
-4x. -4x

-x = -5
-x/-1 = -5/-1
x = 5

Check:

3(5) + 15 = 4(5) + 10
15 + 15 = 20 + 10
30 = 30

Therefore, the trees will be the same height in 5 years.
7 0
3 years ago
I’m stuck on g. and h.
natulia [17]

5000+0=5000 that is g

and then 0+100=100-20=80 that is h

7 0
3 years ago
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