Answer:
4 1/2 hours
Step-by-step explanation:
Total time worked was ...
2 3/4 + 1 3/4 = (2 +1) + (3/4 +3/4)
= 3 + (1 1/2) = 4 1/2 . . . hours
To find the answer, you have to figure out the y-intercept and the slope.
The y-intercept is relatively easy. Look at the graph and locate the spot where the line passes the y axis. It passes at (0, 2), which means that the y-intercept is 2. So, we can eliminate two of the answers.
Now, on to the slope. Slope is the change in y over the change in x, or rise over run. We need at least two points to find the slope. The most obvious ones are the intercepts: (0, 2) and (-1, 0).
Change in y is the difference of the y coordinates: 2 - 0 = 2.
Change in x is the difference of the x coordinates, but this subtraction must be in the same order as the difference of the y coordinates: 0 - (-1) = 1
Change in y over change in x is:
2/1 = 2
So, the slope is 2.
Taking the whole problem, the equation in slope-intercept form is: y = 2x + 2.
The answer is D.
Equations are separated by an equal sign. The value of x is given as -6/5
<h3>Equations and values</h3>
Given the equations below;
5(3x + 4) = 2
Expand
5(3x) + 5(4) = 2
15x +20 = 2
Subtract 2 from both sides
15x = 2 - 20
15x = -18
x = -18/15
x = -6/5
Hence the value of x is given as -6/5
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Answer:
Step-by-step explanation:
Linear functions are usually of the form f(x) = mx + b. When the coefficient of x is positive, the function is increasing (since as x gets larger, f(x) increases). When the coefficient of x is negative, the function is decreasing (since as x gets larger, f(x) decreases).
Exponential functions are usually of the form f(x) = 
. When b is greater than 1, the function is increasing (exponential growth). When b is between 0 and 1, (non-inclusive) the function decreases (exponential decay).
The function in this question has 3 raised to the power of x, and since 3 is greater than 1, this represents exponential growth.
Required length is pi x d/2 = 1200/2 x pi = 600 pi feet = 1,885 feet.
