All categories

4 years ago

HELP WITH THIS MATH PROBLEM 93. Points

Mathematics

2 answers:

nadya68 [22]4 years ago

8 0

Answers:

4; 20; 3x² - 4x + 3; 52; 17

Step-by-step explanation:

f(-1): replace x in f(x) = x² + 3 with -1: f(-1) = (-1)² + 3 = 4

f(-4) + g(-1) = (-4)² + 3 + 2(-1) + 3 = 16 + 3 - 2 + 3 = 20 (since g(x) = 2X + 3)

3f(x) - 2g(x) = 3[x² +3] - 2[2x + 3} = 3x² + 9 - 4x - 6 = 3x² - 4x + 3

f(g(2)): First, evaluate g(2). It is g(2) = 2(2) + 3 = 7. Next, use this output, 7, as the input to f(x): f(g(x)) = (7)² + 3 = 49 + 3 = 52

g(f(2)): First, evaluate f(x) at x = 2: f(2) = (2)² + 3 = 7. Next, use this 7 as the input to g(x): g(f(2)) = g(7) = 2(7) + 3 = 17

kondaur [170]4 years ago

4 0

Answer:

4; 20; 3x² - 4x + 3; 52; 17

Step-by-step explanation:

You might be interested in

What are the solutions of the equation x4 - 9x2 + 8 = 0? Use u substitution to solve.

Sedbober [7]

Answer:

$\large\boxed{B.\ x=\pm1\ and\ x=\pm2\sqrt2}$

Step-by-step explanation:

$x^4-9x^2+8=0\\\\x^{2\cdot2}-9x^2+8=0\qquad\text{use}\ (a^n)^m=a^{nm}\\\\(x^2)^2-9x^2+8=0\\\\\text{substitute}\ x^2=t\geq0\\\\t^2-9t+8=0\\\\t^2-t-8t+8=0\\\\t(t-1)-8(t-1)=0\\\\(t-1)(t-8)+0\iff t-1=0\ \vee\ t-8=0\\\\t-1=0\qquad\text{add 1 to both sides}\\t=1\geq0\\\\t-8=0\qquad\text{add 8 to both sides}\\t=8\geq0$

$t=x^2\to x^2=1\ \vee\ x^2=8\\\\x^2=1\Rightarrow x=\pm\sqrt1\to x=\pm1\\\\x^2=8\Rightarrow x=\pm\sqrt8\to x=\pm\sqrt{4\cdot2}\to x=\pm\sqrt4\cdot\sqrt2\to x=\pm2\sqrt2$

4 0

3 years ago

Read 2 more answers

What is bigger 3/8 or 7/20

yulyashka [42]

3/8 would be the answer

6 0

3 years ago

Read 2 more answers

The Esteban family will order one T-shirt for each person who attends their family reunion. The cost is $6.50 per T-shirt plus a

atroni [7]

Answer: 302

Step-by-step explanation:

7 0

3 years ago

Which of the following equations is equivalent to 3/4a-6=1/4

GaryK [48]

Answer:

x=25 over 3

Step-by-step explanation:

3÷4a-6=1÷4 convert to

_x-6= 0.25

3x-24=1

3x=24+1

3x=25

divide both sides by 3 and you'll get:

----

5 0

3 years ago

A person places $7320 in an investment account earning an annual rate of 8.2%,

klasskru [66]

Answer:

The amount of money after 12 years is $19581.99 to the nearest cents

Step-by-step explanation:

The formula of the compound continuously interest is V = P $e^{rt}$ , where

V is the value of the account in t years

P is the principal initially invested

e is the base of a natural logarithm

r is the rate of interest in decimal

∵ A person places $7320 in an investment account

∴ P = 7320

∵ The account earning an annual rate of 8.2%, compounded continuously

∴ r = 8.2% ⇒ divide it by 100 to change it to decimal

∴ r = 8.2 ÷ 100 = 0.082

∵ The time is 12 years

∴ t = 12

→ Substitute these values in the formula above to find V

∵ V = 7320 $e^{0.082(12)}$

∴ V = 19581.99121 dollars

→ Round it to the nearest cents ⇒ 2 d.p

∴ V = 19581.99 dollars

∴ The amount of money after 12 years is $19581.99 to the nearest cents.

8 0

3 years ago