Answer:
[-3, 3]
Step-by-step explanation:
The range of <em>y = sin x</em> is the interval [-1, 1].
When you multiply the function by -3, you invert the function (symmetry with respect to the x-axis) and stretch is by a factor of 3 vertically.
The range now is [-3, 3]
Answer:
22.5
Step-by-step explanation:
You subtract 3 from both sides and then divide 2 from both sides which should look like this
3(2x)=48
-3 -3
2x=45
-:- 2
x=22.5
Step-by-step explanation:
1. If you are trying to find a linear equation from those two points, use the equation y2-y1 over x2-x1. y2-y1 just means the second point's y coordinate minus the first point's y coordinate (same goes for x2-x1).
2. So if you were to plug the coordinates into the equation, it would be: -8-8 over 8-(-1).
3. Solve to get -16/9 because -8-8=-16 and 8-(-1)=9, so -16/9. -16/9 is the slope of the line in the y=mx +b equation.
4. It would be written like y=-16/9x +b
5. Now we need to find b which is the y-intercept. To find this pick one of the points (we'll just do (-1,8)), and plug in the x and y coordinates and solve for b.
- 8=-16/9(-1) +b
- multiply -16/9 by -1 which is 16/9
- subtract from both sides for it to be 8-16/9 on the left side which is 6 2/9, and that is b
6. The complete equation is now y=-16/9x + 6 2/9
Answer:
288 miles
If we have the distance, we divide by 36 instead to find how many gallons of gas he used.
Step-by-step explanation:
180/5=36 miles per gallon
8 gallonsx36 miles per gallon=288 miles
pls mark brainliest
Answer:
24/30
Step-by-step explanation: