Answer:
D
Step-by-step explanation:
Call the first person A who can do the job in 5 hours.
Call the second person B who can do the job in 7 hours.
The formula for this problem is
Time = A*B/(A + B)
Time = 5*7 / (5 + 7)
Time = 35 / 12
Time = 2 hours and 11/12 of an hour.
The answer is D.
Answer:
the zero of a function is the value of x which makes the final value zero
First Equation:
So let 25 - 2x equal to 0
<em>25 - 2x = 0</em>
x = 12.5
Second Equation:
Let 2x² - 11x - 6 equal to zero
<em>2x² - 11x - 6 = 0 </em>
<em>2x² - 12x + x - 6 = 0 </em><em>(Splitting the middle term)</em>
<em>2x(x - 6) + 1(x - 6) = 0</em>
<em>(2x + 1) (x - 6) = 0</em>
So we can transpose either one of the brackets below the zero
(2x + 1) = 0 or (x-6) = 0
x = -1/2 or x = 6
The graph that represents the given linear function is attached below.
We are given a function. A function connects an input with an output. It is analogous to a machine with an input and an output. And the outcome is somehow connected to the input. The equation is linear in nature. It represents a straight line. The equation is given below.
(y - 4) = (4/3)(x - 2)
A line's general equation in slope-intercept form is y = mx + c. We will convert the given equation into this form.
y - 4 = (4/3)x - 8/3
y = (4/3)x - 8/3 + 4
y = (4/3)x + 4/3
The slope of the given equation is 4/3. The y-intercept for the given equation is 4/3.
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8 = x / 12.8
102.4 = x
Therefore x = 102.4