Answer:
B. f(x) = 5x - 7
Step-by-step explanation:
✔️Using the table of values given, find the slope (m) and y-intercept (b) of the line of the graph that represents the table, then write the function in slope-intercept form.
✔️Slope (m) using (0, -7) and (2, 3):
Slope (m) = ∆y/∆x
Slope (m) = (3 -(-7))/(2 - 0)
Slope (m) = 10/2
Slope (m) = 5
✔️ y-intercept (b):
b = -7, because where x = 0, y = -7, which is the point where the y-axis is intercepted by the line of the graph.
✔️Write the linear function in slope-intercept form by substituting m = 5 and b = -7 into f(x) = mx + b
Thus:
f(x) = 5x + (-7)
f(x) = 5x - 7
Therefore, the linear function that has a graph that includes all the points in the table would be f(x) = 5x - 7.
Answer:
3rd quadrant
Step-by-step explanation:
- First we just convert the angle from radians to degrees
- Now that's too big, all this means is if we start rotating from the positive y-axis in a circle we will cross the starting point 2 times, 2 full circles;
- Now in which quadrant it 210 degrees?
- 0 degrees to 90 degrees is 1st quadrant
- 90 degrees to 180 degrees is 2nd quadrant
- 180 degrees to 270 degrees is 3rd quadrant
- 270 degrees to 360 degrees is 4th quadrant
- So our answer is the 3rd quadrant.
Answer:
1.01 m8
Step-by-step explanation:
Answer:
The answer is 5 students.
Step-by-step explanation:
This problem is a division problem.
To solve, divide 4 by 4/5.
There is a strategy for this- Keep, Change, Flip.
Keep the dividend like it is, which is 4 or 4/1.
Change the division to multiplication.
And flip the divisor- 4/5 to 5/4.
When you multiply, you should get 20/4.
Simplify by dividing 20 by 4.
20 divided by 4 is 5.
So the answer is 5 students
