Answer:
Step-by-step explanation:
y=a(x-0)(x-2)
=a(x^2-2x)
=a(x^2-2x+1-1)
or y=a(x-1)^2-a
(1,5) lies on it.
5=a(1-1)^2-a
5=0-a
or a=-5
so y=-5(x-1)^2+5
Answer:
Find out the what function equation represents the population of the city after t years .
To prove
The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.
This can be represented by exponential decreasing function.
Where a is the initial value.
r is the rate in decimal form
t is the time.
Here
a = 451,400
3.2 % is written in the decimal form.
= 0.032
Put in the formula
Therefore the decrease in the population of the city after t years is represented by
Answer:
Step-by-step explanation:
Let
c -----> the additional amount (in dollars) David will spend
we know that
The word " at most" in this context means "less than or equal to"
The amount David has spent plus possible additional amounts he will spend must be less than or equal to $39
so
The inequality that represent this situation is
solve for c
subtract 22 both sides
The maximum amount he could spend is $17
Answer:
4^2
Step-by-step explanation:
Order of operations:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
2x + 4 = 3x - 10
-2x and +10 to both sides
14 = x
the answer is x = 14