Answer: 17 years
Step-by-step explanation:
City A is currently 2,425 people in number and growing at 27 per year.
An expression to find the population in a given year assuming the year is x would be:
= 2,425 + 27 * x
= 2,425 + 27x
Applying the same logic to City B would give an expression of:
= 1,813 + 63x
Equating these together will give the year they will be the same:
2,425 + 27x = 1,813 + 63x
2,425 - 1,813 = 63x - 27x
612 = 36x
x = 612/36
x = 17 years
6(x+5)² + 5(x+5)-4 = 0
(x+5)(x+5) = x(x+5)+5(x+5) = x² + 5x + 5x + 25 = x² + 10x + 25
6(x²+10x+25) + 5(x+5) - 4 = 0
6x² + 60x + 150 + 5x + 25 - 4 = 0
6x² + 60x + 5x + 150 + 25 - 4 = 0
6x² + 65x + 171 = 0
<span>u = (x + 5)</span>
Only when <em>b</em> = 0 or <em>k</em> = 1<em>.</em>
If <em>f(x)</em> = <em>mx</em> + <em>b</em>, then
<em>f</em> (<em>kx</em>) = <em>m</em> (<em>kx</em>) + <em>b</em> = <em>mkx</em> + <em>b</em>
while
<em>k</em> <em>f(x)</em> = <em>k</em> (<em>mx</em> + <em>b</em>) = <em>kmx</em> + <em>kb</em>
The two expression are identical only if
<em>kb</em> = <em>b</em> ===> <em>kb</em> - <em>b</em> = 0 ===> <em>b</em> (<em>k</em> - 1) = 0 ===> <em>b</em> = 0 or <em>k</em> = 1
Answer:
Step-by-step explanation:
Given the literal equation, y = 5x - rx - 5,
In order to solve for x, start by adding 5 on both sides of the equation:
y + 5 = 5x - rx - 5 + 5
y + 5 = 5x - rx
Next, factor out x from the right-hand side of the equation:
y + 5 = x(5 - r)
Finally, divide both sides by (5 - r) to isolate x:
Answer:
87.5
Step-by-step explanation:
By completing the square,
y
=-14x^2+70x
=-14(x^2-5x)
=-14(x-5/2)^2+175/2
the max. height=175/2
i.e. 87.5
