In 2010, the population of a city was 224,000. From 2010 to 2015, the population grew by 6%. From 2015 to 2020, it fell by 4%. H
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Answer:
The values of x are x = -2 and x= 1.
Step-by-step explanation:
The given equation -x²+4 = x+2 can be written in the form of two functions as
y = -x²+4 which is a function representing parabola and
y = x+2 which is a straight line.
Now we will solve the given equation to find their points of intersection on graph. Their points of intersections will be the answer.
-x²+4 = x+2
-x²+4-x = x+2-x
-x²-x+4 = 2
-x²-x+4-2 = 2-2
-x²-x+2 = 0
Or x²+x-2=0
Now we will factorize the equation.
x²+2x-x-2=0
x(x+2)-1(x+2) = 0
(x+2)(x-1) = 0
x+2 = 0 ⇒x = -2
x-1 = 0 ⇒x = 1
For x = 1, y will be 3
and for x = -2, y will be 0
Now we can see the graph for the given coordinates (-2,0) and (1,3).
Answer:
Step-by-step explanation:
Given
Required
Determine the formula
An exponential function is of the form:
For point
For point
Substitute 7 for a
Divide both sides by 7
Take 4th root of both sides
Substitute 7 for a and 3 for b in