First you must derive the equation to find the slope:
y = 3x ^ 2 - 3
y '= 6x
Then, for x = 1 we have the slope is:
y '(1) = 6 (1) = 6
Then the equation of the line with slope equal to 6 and passing through point (0, -3) is:
y = 6x - 3
The slope is m = 6
Answer:
Revenue = 5( 1000 + w+ k)
Step-by-step explanation:
Lets calculate expenses first
rent = $1000
wages = w
overhead cost = k
Total cost = rent + wage+ overhead
Total cost = 1000 + w+ k
Given Jose wants his monthly sales revenue, x, to be 4 times greater than the operating costs
Let revenue be R
Thus, putting the statement mathematically
revenue - total cost = 4 * operating cost
R - ( 1000 + w+ k) = 4( 1000 + w+ k)
R = 4( 1000 + w+ k) + ( 1000 + w+ k)
R = 5( 1000 + w+ k)
Thus, revenue should be 5( 1000 + w+ k).
Answer:
Number of multiple-choice questions = x = 35 questions
Number of open-ended questions = y = 3 questions
Step-by-step explanation:
Let
Number of multiple-choice questions = x
Number of open-ended questions = y
x + y = 38 (1)
4x + 20y = 200 (2)
From (1)
x = 38 - y
Substitute x = 38 - y into (2)
4x + 20y = 200
4(38 - y) + 20y = 200
152 - 4y + 20y = 200
- 4y + 20y = 200 - 152
16y = 48
y = 48/16
y = 3
Substitute y = 3 into (1)
x + y = 38
x + 3 = 38
x = 38 - 3
x = 35
Number of multiple-choice questions = x = 35 questions
Number of open-ended questions = y = 3 questions
Well a right angle is 90° so all u have to do is take 10° away from that
