Harry can rake the leaves in the yard 8 hours faster than his little brother Jimmy can.
<span>If they join to work together they can complete the job in 3 hours. </span>
<span>1/x + 1/(x - 8) = 1/3 </span>
<span>3(x - 8) + 3x = x(x - 8) </span>
<span>x^2 - 14x + 24 = 0 </span>
<span>(x - 12)(x - 2) = 0 </span>
<span>Solutions: </span>
<span>x = 2 </span>
<span>x = 12 </span>
<span>Jimmy can complete the job on his own in 12 hours.</span>
<span>The initial value is the value of the y-coordinate when the x-coordinate is equal to 0. That is the same to say the value at which the graph intercepts the y-axis. So, you justt have to pick the graph whose line intercepts the y-axis at 1/2. </span>
Answer:
3 cents for 29 days and 4 cents for 1 day
Step-by-step explanation:
1.00 dollar / 30 days = .03 cents
3 cents x 30 = .99 cents
3 cents for 29 days and 4 cents for 1 day
In this problem, we are asked to give an expression that can be used to mentally multiply 6 and 198. In order not to go through the rigorous multiplication, we can estimate 198 to 200, that is 6 *200 equal to 1200. Since there is a 2*6 excess or 12 then we subtract: 1200 -12 equal to 1188.
Answer:
A
Step-by-step explanation:
2x² + 5x = 12
2x² + 5x - 12 = 0
x² + 5x - 24 = 0
factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. the only pair that adds to 5 is 8 and 3
2x² - 3x + 8x - 12 = 0
split the equation and factor
2x² - 3x = 0 ||| 8x - 12 = 0
x(2x - 3) ||| 4(2x - 3)
therefore the pair is (2x - 3)(x + 4)
2x - 3 = 0
2x = 3
x = 3/2
or
x + 4 = 0
x = -4
