6(2m - 1) - 4(m + 8)
We can use the distributive property here.
12m - 6 - 4m - 32
Simplify.
<h3><u>8m - 38 is the simplified form of the original expression. </u></h3>
This question is pretty confusing in the way that i'm not entirely sure what it wants the answer to be, but i'll do my best.
i used the simple interest formula to come up with the equations, and the formula is I = PRT, (I) being interest, (P) being the amount, (R) being the rate of interest, (T) being the time, in months
b = the balance on the customer's account
c = service charge
t = number of months
if b > 1000, then c = b*.008t
if b </= to 1000, then c = b*.012t
if b < 50, then c = t
if b = 0, then c = 0
it looks really confusing but i'm hoping it's lining up with what you're learning and not completely ?????
i created the restrictions with the inequalities based on the given information of what happens when a balance exceeds 1000, is less than 1000, is less than 50, and is 0.
i used the remainder of the given information in the problem to get the equations -- the interest rate for b > 1000 is 0.8%, which is .008, b </= 1000 is .012, and so on. i hope this wasn't too terribly confusing, and let me know if you have any questions about how i came up with the equations!!
Answer:
C.g(x) = 5x²
Step-by-step explanation:
To find the equation for the function g(x), use the format for a quadratic equation. Without any up/down and left/right shifts, the form is y = ax².
Substituting "x" and "y" into the equation tells you if a point is on the graph.
"a" tells you the vertical stretch (greater than 1) or compression (greater than 0, less than 1).
In f(x) = x², a = 1 even though it's not written.
<u>Use the point (1, 5) on g(x) and substitute it</u> into the form for a quadratic function. Remember points are (x, y), so x = 1 and y = 5.
g(x) = ax²
y = ax² In function notation, g(x) replaces the "y". Switch it back to "y".
5 = a(1)² Substitute x = 1 and y = 5
5 = a(1) Solve the exponent first. (1)² = 1
5 = a When you multiply "a" by 1, the answer is just "a".
a = 5 Solved for "a". Put variable on left side for standard formatting.
With the quadratic form, substitute "a" into g(x).
y = ax²
g(x) = 5x²
Answer:
<em>- 4</em>
Step-by-step explanation:
Formula of slope:
m = (
-
) / (
-
)
m = [8 - ( - 4)] / (4 - 7) = (8 + 4) / ( - 3) = <em>- 4</em>