All categories

3 years ago

Given that f(x) = 2x + 1, find g(x) if g(x) = 2[f(x)]^2 - 1

1 answer:

7 0

G(x) = 2[f(x)]^2 - 1 g(x) = 2[2x + 1]^2 - 1 g(x) = 2[ $4 x^{2}$ 4x+1] - 1 g(x) = $4 x^{2} +4x+1$ - 1 g(x) = $4 x^{2} +4x$

You might be interested in

Gas is being pumped into a tank the total amount of gas G after amount of time T is given by the equation G= 50+20t if the total

luda_lava [24]

Answer:

T = 40 (minutes?)

Step-by-step explanation:

Given the equation G = 50 + 20T, where G = the total amount of gas and T = the amount of Time, we know that there is already 50 gallons of gas in the tank and that the rate at which it is pumped is 20 gallons per minute (I am assuming, though it is not stated in the problem). Given that the tank holds 850 gallons, we can plug in the values into the equation and solve for the missing variable, T:

850 = 50 + 2T

Subtract 50 from both sides: 850 - 50 = 50 + 2T - 50 or 800 = 2T

Divide 2 from both sides: 800/2 = 2T/2

Solve for T: 40 = T

3 0

3 years ago

What is the recursive rule for this geometric sequence? 27, 9, 3, 1, ... Enter your answers in the boxes.

ANEK [815]

Answer:

$a_n=a_{n-1}(\frac{1}{3})\\a_1=27$

Step-by-step explanation:

A recursive formula is a formula in which each term is based on the previous term.

In a geometric sequence, each term is found by multiplying the previous term by a constant.

To get from 27 to 9, then from 9 to 3, etc., we would multiply by 1/3. This makes the common ratio 1/3.

The recursive formula for a geometric sequence is

$a_n=a_{n-1}(r)$ , where $a_n$ represents the general term, $a_{n-1}$ , represents the previous term, and r represents the common ratio.

Plugging in our values, we have

$a_n=a_{n-1}(r)$

We also have to indicate what the first term, a₁, is. In this sequence, it is 21. This gives us

$a_n=a_{n-1}(\frac{1}{3})\\a_1=27$

8 0

3 years ago

Read 2 more answers

a rocket was launched into the air from a platform above the ground. The height, in feet, of the rocket above the ground t secon

vova2212 [387]

For this case we have the following expression:
h (t) = -16t ^ 2 + 64t + 80
For t = 0 we have:
h (0) = -16 (0) ^ 2 + 64 (0) + 80
h (0) = -0 + 0 + 80
h (0) = 80 feet
Therefore the number 80 represents the initial height of the rocket
Answer:
the 80 in the expression represented:
the initial height of the rocket

5 0

2 years ago

The functions u and w are defined as follows. u(x)=-2x-2 w(x)=x^2-2 what’s the value of w(u(4))

Ket [755]

Answer:

what how do you even do this

3 0

3 years ago

Kelli is walking to raise money for a local shelter. A neighbor gives her $20. Her uncle donates $2 per kilometer. Write an equa

stiv31 [10]

Y=20+2x I think this is right

4 0

2 years ago