Answer:
60,120
Step-by-step explanation:
We know that angles on the same side of the transversal always add up to 180 ( are supplementary)
Hence, taking one of the angles as x we get,
x+(60+x)=180
2x+60=180
2x=120
x=60
Hence, one angle is 60 degrees while the other 120 degrees
The average rate of change is -5 per month
<h3>How to determine the average rate of change?</h3>
The interval is given as:
July to December
From the graph, we have:
July = 110
December = 30
The average rate of a function over the interval (a, b) is calculated as:
Rate = [f(b) - f(a)]/[b - a]
So, we have:
Rate = (30 - 110)/(December- July)
This gives
Rate = (30 - 110)/(12 - 7)
Evaluate
Rate = -16
Hence, the average rate of change is -5 per month
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Well u have a basic equation y=a • b^x
a is the initial amount
b is the growth factor
and x is the exponent
the first step is to make a chart with ur two points for example
(0,4) and (2,16)
so ur chart will be
x. | y.
0. | 4
2. | 16
next you find the difference between the x side so 0 to 2 is +2
then find the difference between the y side so 4 to 16 is +12
then put it into a fraction with y over x or y/x so 12/2 then simplified 6/1 or just 6.
6 is the growth factor
and to find a u have to go on the y column and find the first number so
a is 4
x is still x because it's 0 but if it was 2 then it would be x-2 so it can cancel
so the answer would be y=4 • 6^x
Answer:
(-1,9)
(0,3)
(1,-3)
(5,-27)
Step-by-step explanation:
Plug x values into the equation.
Since the price is increasing by percentage, rather than a constant rate, we will be using the exponential equation format, which is y=ab^x (a = initial value, b = growth/decay)
Since the value was $590 in the year 2000, 590 will be our a variable.
Since the value is *increasing* by 35%, add 1 and 0.35 (35% in decimal form) together to get 1.35. 1.35 is going to be your b variable.
Putting our equation together, our equation is f(x) = 590(1.35)^x
