Hello :
<span>If f(x)= 3 ^x-1+ 4 and g(x) = 4x-7
(f-g)(x) = f(x) - g(x)= </span>3 ^x-1+ 4 - (4x - 7)
(f-g)(x) =3 ^x-1-4x +11.....( answer : a)
Use y=Mx+b with x=10 and y=8
By using the Distributive Property, you would multiply 3 into the parenthesis (3 · x and 3 · -4)
3(x - 4) = 24
3x - 12 = 24
Then, you would solve like any normal one-step equation.
3x - 12 = 24
+12 +12
__________
3x 36
__ = __
3 3
x = 12, which is your final solution.
If you need any further explanations, please ask me :)
Let's solve your inequality step-by-step. <span><span><span>−<span>5x</span></span>+20</span><5</span>
<span />Step 1: Subtract 20 from both sides. <span><span><span><span>−<span>5x</span></span>+20</span>−20</span><<span>5−20</span></span><span><span>−<span>5x</span></span><<span>−15</span></span>
<span><span /></span>Step 2: Divide both sides by -5.<span><span><span><span><span> −<span>5x</span></span><span>−5</span></span></span></span><<span><span><span><span>−15</span><span>−5</span></span></span></span></span><span>x>3</span>
Answer: <span>x><span>3</span></span>
The y intercept is zero because it crosses the y axis at 0