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3 years ago

Given: F(x) = x +3 ; G(x) = 2x^2 -4 Find (f*g)(x)I seriously need help with this

Mathematics

2 answers:

Lana71 [14]3 years ago

3 0

Step-by-step explanation:

just subscribe the value of x thn solve

after that put it in the function

Sati [7]3 years ago

3 0

Answer:

(f*g)(x) = (x +3)(2x² -4) =2(x+3)(x²-4) or = 2x³ + 6x² - 4x -12

Step-by-step explanation:

F(x) = x +3

G(x) = 2x^2 -4

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

(f*g)(x) = (x +3)(2x² -4) =2(x+3)(x²-4) or = 2x³ + 6x² - 4x -12

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Draw the triangle with vertices a(1, 1), b(5, 3), c(1, 7). find the parametrization, including endpoints, and sketch to check. (

Firlakuza [10]

Part A:

The parametric equations $x=x_1+(x_2-x_1)t$ and $y=y_1+(y_2-y_1)t$ where $0\leq t\leq1$ describes the line segment that joins the points $(x_1,\ y_1)$ and $(x_2,\ y_2)$ .

The parameterization of the line joining points A(1, 1) and B(5, 3) are given by substituting $x_1=1,\ \ y_1=1,\ \ x_2=5,\ \ y_2=3$ .

Thus, we have

x = 1 + (5 - 1)t = 1 + 4t
y = 1 + (3 - 1)t = 1 + 2t

Therefore, the parameterization of line joining points A(1, 1) and B(5, 3) are x = 1 + 4t and y = 1 + 2t.

Part B:

The parametric equations $x=x_1+(x_2-x_1)t$ and $y=y_1+(y_2-y_1)t$ where $0\leq t\leq1$ describes the line segment that joins the points $(x_1,\ y_1)$ and $(x_2,\ y_2)$ .

The parameterization of the line joining points B(5, 3) and C(1, 7) are given by substituting $x_1=5,\ \ 
y_1=3,\ \ x_2=1,\ \ y_2=7$ .

Thus, we have

x = 5 + (1 - 5)t = 5 - 4t
y = 3 + (7 - 3)t = 3 + 4t

Therefore, the parameterization of line joining points B(5, 3) and C(1, 7) are x = 5 - 4t and y = 3 + 4t.

Part C:

The parametric equations $x=x_1+(x_2-x_1)t$ and $y=y_1+(y_2-y_1)t$ where $0\leq t\leq1$ describes the line segment that joins the points $(x_1,\ y_1)$ and $(x_2,\ y_2)$ .

The parameterization of the line joining points C(1, 7) and A(1, 1) are given by substituting $x_1=1,\ \ 
y_1=7,\ \ x_2=1,\ \ y_2=1$ .

Thus, we have

x = 1 + (1 - 1)t = 1
y = 7 + (1 - 7)t = 7 - 6t

Therefore, the parameterization of line joining points A(1, 1) and B(5, 3) are x = 1 and y = 7 - 6t.

8 0

3 years ago

There are 14 green crayons and 28 red crayons in a bin. What is the ratio of green crayons to red crayons in simplest form?

NikAS [45]

Answer:

Green crayons are 1/3 of all the crayons and the red crayons are 2/3 of the crayons. So 1/3rd to 2/3rds

Step-by-step explanation:

14+28=42

14/42=1/3

28/42=2/3

5 0

3 years ago

6000 - 25p = 4000 what does p equal?

tresset_1 [31]

Answer:

Step-by-step explanation:

25x80=2000

6000-2000=4000

5 0

3 years ago

Read 2 more answers

Liz earns a salary of $2,200 per month, plus a commission of 3% of her sales. She wants to earn at least $2,800 this month. Ente

vagabundo [1.1K]

Answer:

The amount of sales in order to meet her goal must be greater than or equal to $20,000

Step-by-step explanation:

Let

x----> represent the amount of sales Liz will need

we know that

The amount of sales for the month multiplied by the commission rate as a decimal plus the fixed amount must be greater than or equal to $2,800 each month

The inequality that represent this situation is

$0.03x+2,200\geq 2,800$

solve for x

subtract 2,200 both sides

$0.03x \geq 2,800-2,200$

$0.03x \geq 600$

divide by 0.03 both sides

$x \geq \$20,000$

The amount of sales in order to meet her goal must be greater than or equal to $20,000

8 0

3 years ago

The four hand of a clock moves from 12 to 5 o'clock through how many degrees does it move?

julsineya [31]

To find the answer you have to first find how many degrees are there in between each number in the clock. the clock is 360°degrees and there are 12 numbers marked in a clock., so you have to divide 360 by 12 to get the number of degrees in between each number,
360°÷12=30° so there are 30°degrees between each number.

if a clock hand moves from 12 to 5, it pass 5 numbers, so to get your final answer you have to multiply 30° by 5=150°.

so your answer is 150°degrees.
hope you can understand what i said. :)

8 0

3 years ago