Answer:
[-1, 7]
Step-by-step explanation:
If you mean ...
y = 4sin(2x) +3
then you can substitute the range of the sine function into the equation and evaluate it to find the range of y.
The range of sin( ) is [-1, 1], so the range of y is ...
4[-1, 1] +3 = [4(-1)+3, 4(1)+3] = [-1, 7]
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<em>Comment on the problem statement</em>
The range of y = 4sin²(x)+3 will be different, and the range of 4sin(2x+3) will be different yet. It is usually a good idea to use parentheses around function arguments.
Answer:
(-3, 0)
(0, 3)
(1, 4)
Step-by-step explanation:
It’s easier if you make an equation like this!
Start by finding the slope using two points
m = slope
m = y2 - y1/x2 - x1
For right now, I’m going to have to use two points from the graph.
Points: (-5, -2) and (0, 3)
m = 3 - -2/0 - -5
m = 5/5
m = 1
Now find the y-intercept (located where x coordinate is 0)
y-intercept = 3
Now make the equation of a line that has a slope of 1 and a y-intercept of 3
y = x + 3
Now use any point to see if it is a point on the graph.
y = x + 3
Point: (2, 5)
5 = 2 + 3
5 = 5
Therefore it is a point
y = x + 3
Point: (-3, 0)
0 = -3 + 3
0 = 0
y = x + 3
Point: (2, 4)
4 = 2 + 3
4 = 5
Here is how we are going to find the answer. Firstly, we need to know what is 4/5 of an hour. An hour has 60 minutes. So we divide 60 by 5 which is 12 and multiply this by 4 and we get 48 minutes. Since it took Hailey 1/8 the time it took Joel to do his chores, now we are going to know what is 1/8 of 48 minutes. We divide 48 by 8 and we get 6. Since it is only 1/8, therefore, the time that Halley took to do her chores is only 6 minutes. Hope this helps.
The answer is 37.21 miles per hour.
Hope this helps!!