The answer in the middle is the arrow pointed to left, and then the right box is 12. :)
Slimination
the teacher probably wants you to eliminate the x terms since there are an equal number of them
so multiply first equation by -1
-6x+3y=-30
add to second equation
6x-6x+3y+y=18-30
0x+4y=-12
4y=-12
divide by 4
y=-3
subsitute
6x+-3=18
add 3
6x=21
divide both sides by 6
x=21/6=7/2
x=7/2
y=-3
You have added -13 to every function value, so every point on the graph is 13 "spaces" lower. The y-intercept is one such point, so ...
-The y-intercept is 13 spaces lower.
_____
<em>Comment on notation</em>
In plain text an exponent is preceded by a caret (^). If the exponent has arithmetic involved (addition, subtraction, multiplication, division), then the entire exponent needs to be enclosed in parentheses. When an exponential term that has a constant base is multiplied by another constant, then some sort of multiplication indicator is useful. Your expressions might be written ...
... f(x) = 4·2^x
... f(x) = 4·2^x - 13 . . . . . . or, better, f(x) = 4(2^x) - 13 . . so it is clear -13 is not part of the exponent
The equation is in the format
where a is the initial value (when t=0), b is the rate of change between terms, and t is the amount of time.
Our initial value is 100. We find the rate of change by first finding the percent of change:
amount of change/original amount
= 20/100 = 0.2
This is a percent decrease, so we will subtract it from 1:
1-0.2 = 0.8
This goes in for b.
Answer:
use 3.14 to solve all of your answers so do 3.14 times one of those numbers and you will get your answers
Step-by-step explanation: