Answer:
The exponential equation is y = -2×(1/2)^x
Step-by-step explanation:
Ok we have a couple things to note here:
1) The horizontal asymptote of the function is the x axis (always nice)
2) At x=0, y=-2 (i.e, this function will be multiplied by -2 bc the exponent part will transform into one at x=0)
3) Then we need to ascertain the base of the exponential. Based on the facts that at x=1, y=-1 and the "a-value" is -2, we can set up an equation to find b:
y=a×b^x----> -1 = (-2)(b) ------> b=1/2
Therefore, the exponential equation is y = -2×(1/2)^x
Test:
At x = 0, y= -2
At x = -1, y = (-2)*(1/2)^-1 = (-2)*2 = -4
At x=2, y = (-2)*(1/2)^2= (-2)*(1/4) = -1/2
Thus we can be quite certain that this is correct
Answer:
She should get $12.17 in change.
Step-by-step explanation:
20- 2.25 = 17.75
17.75 - 4.39 = 13.46
13.46 - 1.19 = 12.17
HGD
-ghost
6+3x = 2(2 + x)
First we will need to open the parenthesis by multiplying the number that’s in front of them:
6+3x=4+2x
Now we need to separate the numbers from the X. By subtracting 2x from both sides:
6+3x=4+2x
-2x -2x
————————
6+x=4
Now we subtract 6 from both sides.
6+x=4
-6 -6
—————
X = -2
A line that rises from left to right has a positive slope
