Your post would be clearer if you'd please put each function on its own line:
f(x) = (x + 4)2 + 4
f(x) = –(x + 4)2 + 4
f(x) = (x – 4)2 – 4
f(x) = –(x – 4)2 – 4
Also, use "^2" to denote "squaring." x2 has no meaning.
f(x) = (x + 4)^2 + 4 has a parabolic graph with vertex (-4,4). It increases steadily once x is greater than -4. Reject this choice.
f(x) = –(x + 4)^2 + 4 has a parab. graph with vertex (-4,4) also. It decreases steadily once x is greaster than -4. This is the answer.
Analyze the other 2 possible answers in the same way, please.
Answer:
216
Step-by-step explanation:
16 times 13.5
Apply simple interest formula
future value = present value (1+n*rate)
n=number of years
rate = annual interest rate in decimal
Plug in values,
10000=3900(1+0.0783*t)
1+0.0783t=10000/3900
t=(10000/3900-1)/0.0783
=19.98 years.
With compound interest, future value=present value (1+rate/n)^(nt)
n=1,rate=0.0783, future value=10000, present value=3900,
t=log(10000/3900)/log(1.0783)=12.49 years.
Answer:
x=6
Step-by-step explanation:
Basically you want to isolate x into a form x=... so you have to work your way backwards.
First, notice that there is an expression (x+3) that is multiplied by 3. Let's undo that. If we remove the 3, then the right hand side will also have to change. In fact, we can divide both sides by 3.
You then get (x+3) = 9.
Now, let's subtract 3 from both sides:
x+3 -3 = 9 -3
Which simplifies to x = 6.
So with the operations "divide left and right by the same" and "subtract the same left and right", you can simplify most equations.
<span>−5p+20
</span><span>= −5p+4(5)
= -(5p-4(5))
= -5(p-4)
To check if you did it right, use expansions
</span>-5(p-4)
= -5(p) -5(-4)
= -5p +20