Answer: x(.25)+(4+x(.25))=y
Step-by-step explanation:
1. set up the equation-
Ali has an unknown amount of quarters so make that x.
We know quarters are 25 cents so .25 if he has one quarter you put that one quarter into x, 2 into x and so on
Tom has 4 more, since he has 4 more it is 4+x and one again times .25
2. that is it
Answer:
It is not
Step-by-step explanation:
It is not because this is an exponential function
y=x^2
1^2=1
2^2=4
3^2=9
4^2=16
ANSWER
Approximately after 15 minutes.
EXPLANATION
The growth rate of the first bacteria is

The growth rate of the first bacteria :

To find the time that, there will be an equal number of bacteria, we equate the two equation;



We solve for t to get,

Or

We discard the negative value.
This implies that,

Answer:
Step-by-step explanation:
- Let the speed of the boat be x
- Speed against the current in the river is x - 2
<u>Time in the river:</u>
<u>Time in the lake:</u>
<u>The difference:</u>
Solve for x to find the speed of the boat
<u>Multiply both sides by x(x - 2) to clear the fraction:</u>
- 6x = 15(x - 2) - x(x - 2)
- 6x = 15x - 30 - x² + 2x
- x² - 11x + 30 = 0
- (x - 5)(x - 6) =0
- x -5 = 0, x - 6 = 0
- x = 5 km/h, x = 6 km/h
Answer:
5 units
Step-by-step explanation;
We can use the formula for finding the length or magnitude of line joining two points.
Length = √((x2-x1)² + (y2-y1)²)
The points joining the line are C (-1,4) and D (2,0)
Length = √((2+1)² + (0-4)²)
= √((3²) + (-4)²)
= √ (9+16)
= √25
= 5 units