To fill:
6 hours = 1 tank
1 hour = 1/6 tank
To drain:
It takes 4 times as long, therefore 4 x 6 = 24
24 hours = 1 tank
1hour = 1/24 tank
If both pipes are open
1 hour = 1/6 - 1/24 = 1/8 tank
1/8 tank = 1 hour
8/8 tank = 1 x 8 hour
1full tank = 8 hours
Answer:
x = -3.5 ± √17/2
or
x = -1.44, -5,56 to the nearest hundredth.
Step-by-step explanation:
x^2 = –7x – 8
x^2 + 7x + 8 = 0
Using the quadratic formula:
x = [-7 ± √(7^2 - 4*1*8)] / 2
x = -3.5 ± √17/2
Answer:
x = 2.2
Step-by-step explanation:
-15 + 12x = 5x + 7 - 3x
Combine like terms
-15 +12x = 2x +7
Subtract 2x from each side
-15 +12x -2x = 2x-2x +7
-15 +10x = 7
Add 15 from each side
-15+15 +10x = 7+15
10x = 22
Divide each side by 10
10x/10 = 22/10
x = 2.2
Answer:
the answer is 13 units
Step-by-step explanation:
Our first function is g(x). <em>Al had two dozen donuts </em>means that <em>two dozen</em> is the y-intercept of this function. A dozen equals 12, therefore two dozens is 24. <em>Every cubicle he passed, he lost 2 donuts </em>is the slope of the function and it is negative, that is -2, thus:

The second equation is h(x):

So:

From the graph, we can see that the f(x) intersects the y-axis at:

Accordingly, h(x) has the lowest y intercept.
<em>In conclusion, the right answer is c.h(x)</em>