Answer:
y intercept at 5/2. Slope is 0
Step-by-step explanation:
The equation for a line can be represented by the formula y=mx+b. M is the slope or rate of change and b is the y intercept. Since the equation y=5/2 does not have an x in it the slope is 0 and you have a perfectly straight horizontal line. Since we are just left with 5/2 that is our y intercept.
In other words, no matter what value you plug in for x, y will always be 5/2.
Answer:
a) see the plots below
b) f(x) is exponential; g(x) is linear (see below for explanation)
c) the function values are never equal
Step-by-step explanation:
a) a graph of the two function values is attached
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b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).
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c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.
In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.
Answer: x = 156°
Step-by-step explanation:
So it is proven all triangles equal 180° and all straight angles are 180° so
85+71= 156
180-156=24°
but since you are trying to find x (to create the straight angle) and now know the other missing angle is 24°
180-24= 156
x=156°
It took June 4 hours to get from Brookline to Brooklyn.
<h3><u>Time calculation</u></h3>
Given that June is driving from Brookline, Massachusetts to Brooklyn, New York, and the cities are 200 miles apart, and she can drive at a constant speed of 50mph the entire way, to determine the function that solves the time June takes to complete the route, the following calculation must be made:
- C / Constant speed = T
- 200 / 50 = T
- 4 = T
So it took June 4 hours to get from Brookline to Brooklyn.
Learn more about time calculation in brainly.com/question/26707195
