Ask question

Ask question

All categories

3 years ago

9

If f(x)=3x + 2 and g(x)=2x - 2 what is (f-g)(x)?

1 answer:

omeli [17]3 years ago

4 0

(3x+2)-(2x-2)
3x+2-2x-2
3x-2x=x
2-2+0
X

You might be interested in

An arithmetic sequence is defined by the general term tn = -5 + (n - 1)78, where n ∈N and n ≥ 1. What is the recursive formula o

Semenov [28]

$t_{n}=t_{n-1}+78$

7 0

3 years ago

Read 2 more answers

Five coins are flipped. What is the probability that all coins land tails up?

Vlad [161]

Answer:

Step-by-step explanation:

One coin

5 0

3 years ago

Read 2 more answers

Andrew measured the floor on his storage unit, which is rectangular. It is 4 meters wide and 5 meters from one corner to the opp

11111nata11111 [884]

Answer:

3

Step-by-step explanation:

5 0

2 years ago

Find a polynomial of degree 3 with real cofficients and zeros of -3,-1,4 for which f(-2)=24

konstantin123 [22]

$\bf \textit{zeros at } \begin{cases} x = -3\implies &x+3=0\\ x = -1\implies &x+1=0\\ x = 4\implies &x-4=0 \end{cases}\qquad \implies (x+3)(x+1)(x-4)=\stackrel{y}{0} \\\\\\ (x^2+4x+3)(x-4)=0\implies x^3~~\begin{matrix}+ 4x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~+3x~~\begin{matrix} -4x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~-16x-12=0 \\\\\\ x^3-13x-12=0$

we know that f(-2) = 24, namely when x = -2, y = 24, let's see if that's true

$\bf x^3-13x-12=y\implies \stackrel{x = -2}{(-2)^3-13(-2)-12}=y \\\\\\ -8+26-22=y \implies 6=y$

darn!! no dice.... hmmmm wait a second.... 4 * 6 = 24, if we could just use a common factor of 4 on the function, that common factor times 6 will give us 24, let's check.

$\bf 4(x^3-13x-12)=y\implies \stackrel{x = -2}{4[~~(-2)^3-13(-2)-12~~]}=y \\\\\\ 4[~~-8+26-22~~]=y\implies 4[6]=y\implies 24=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 4x^3-52x-48=y~\hfill$

4 0

3 years ago

Mary is making pillows for her Life Skills class. She bought 2.5 yards of fabric. Her total cost was $15. What was the cost per

m_a_m_a [10]

Answer:$6/Yard

Step-by-step explanation:

You make it into an algebraic expression, 2.5x=15.

Then, you divide both sides by 2.5

2.5x=15, 2.5x/2.5 =x, 15/2.5=6.

x=6.

x represents the amount of dollars per yard.

3 0

3 years ago

Read 2 more answers