If f(x)=6x+7 and g(x)=x^2-4 find value of g(-4t)

Help (this for a friend)<br> a 62.1<br> b 117.4<br> c 122.1<br> d 164.5

kramer

Answer:

c. 122.1 cm

Step-by-step explanation:

so l * w + $\frac{\pi r^2}{2}$

since 6 cm is the diameter

6/2 = 3

the radius (or r) is 3

so 18 * 6 + $\frac{3.14 * 3*3}{y}$

108 + $\frac{3.14*9}{y}$

108 + $\frac{28.26}{2}$

108 + 14.13 = 122.13

simplified: 122.1 cm

hope this helps:)

4 0

2 years ago

Read 2 more answers

What is the difference? StartFraction x Over x squared minus 16 EndFraction minus StartFraction 3 Over x minus 4 EndFraction Sta

katovenus [111]

Answer:

The option "StartFraction negative 2 (x + 6) Over (x + 4) (x minus 4) EndFraction" is correct

That is $\frac{-2(x+6)}{(x+4)(x-4)}$

Therefore $\frac{x}{x^2-16}-\frac{3}{x-4}=\frac{-2(x+6)}{(x+4)(x-4)}$

Step-by-step explanation:

Given problem is StartFraction x Over x squared minus 16 EndFraction minus StartFraction 3 Over x minus 4 EndFraction

It can be written as below :

$\frac{x}{x^2-16}-\frac{3}{x-4}$

To solve the given expression

$\frac{x}{x^2-16}-\frac{3}{x-4}$

$=\frac{x}{x^2-4^2}-\frac{3}{x-4}$

$=\frac{x}{(x+4)(x-4)}-\frac{3}{x-4}$ ( using the property $a^2-b^2=(a+b)(a-b)$ )

$=\frac{x-3(x+4)}{(x+4)(x-4)}$

$=\frac{x-3x-12}{(x+4)(x-4)}$ ( by using distributive property )

$=\frac{-2x-12}{(x+4)(x-4)}$

$=\frac{-2(x+6)}{(x+4)(x-4)}$

$\frac{x}{x^2-16}-\frac{3}{x-4}=\frac{-2(x+6)}{(x+4)(x-4)}$

Therefore $\frac{x}{x^2-16}-\frac{3}{x-4}=\frac{-2(x+6)}{(x+4)(x-4)}$

Therefore the option "StartFraction negative 2 (x + 6) Over (x + 4) (x minus 4) EndFraction" is correct

That is $\frac{-2(x+6)}{(x+4)(x-4)}$

5 0

4 years ago

Read 2 more answers

Laura earns $134,350 per year. Use Laura’s income tax rate to determine what her monthly deduction should be . ( the tax is 28%)

Andreyy89

Answer: Her refund would be $5,681.20.

The problem says that Laura paid the estimate above, which is 28%.
0.28 x 134350 = 37618

However, she had some deductions.
134350 - 4000 - 12200 - 4090 = 114060

So, to find the tax on this amount, we multiply it again by 0.28.
0.28 x 114060 = 31936.8

The amount of the refund will be the difference.
37618 - 31936.8 = 5681.2

4 0

3 years ago

$800 is deposited in an account

Sergeeva-Olga [200]

Answer:

The balance after four years is $1129.27

Step-by-step explanation:

The formula for compound interest, including principal sum, is $A=P(1+\frac{r}{n})^{nt}$

A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per unit t
t = the time the money is invested or borrowed for

∵ $800 is deposited in an account

∴ P = 800

∵ The account pays 9% annual interest

∴ r = 9% = 9 ÷ 100 = 0.09

∵ The interest is compounded annually

∴ n = 1

∵ The time is 4 years

∴ t = 4

- Substitute the values of P, r, n, and t in the formula above

∵ $A=800(1+\frac{0.09}{1})^{(1)(4)}$

∴ $A=800(1.09)^{4}$

∴ A = 1129.265

∴ The balance after four years is $1129.27

8 0

3 years ago

Check all of the expressions that are equal to the one below.

Aloiza [94]

(7-11) • (5) = -20

A. (5) • 7 + (5) • (-11)
↳ 35 + (-55)
↳ 35 - 55 = -20

B. -(-7+11) • (5)
↳ -4 • 5 = -20

C. (5) • 7 - (5) • 11
↳ 35 - 55 = -20

D. (7+11) • (5)
↳ 18 • 5 = 90

A B & C are correct

4 0

4 years ago