Answer:
y = 4x+23
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 4x+b
Substitute the point into the equation
7 = 4(-4)+b
7 = -16+b
Add 16 to each side
7+16 = b
23 = b
y = 4x+23
So anytime we have a slope and want to find the slope of a perpendicular line, we just have to remember a perpendicular line's slope is the negative reciprocal (reciprocal means flip the fraction). So if we had a slope of 3/4, the slope perpendicular to it would be - 4/3.
First we need to find our slope, to do this we take the change in y over the change in x like so:
(15-12)/(4-7) = - 3/4
The slope perpendicular to this is 4/3.
Answer:
its (-1/2,-5/2),(2,5)
Step-by-step explanation:
Substitute 2x2−3 for y into y=3x−1then solve for x.
We know that the profit from an item is the sale price minus the cost price. Thus,
1269 - 0.2x² - 830 - 398x
P(x) = -0.2x² - 398x + 439
Local maxima are located at the points where the first derivative of a function are 0
P'(x) = -0.4x - 398
398 = -0.4x
x = -995
There is only one maximum so the average value is -995
Answer:
a) modal number of teachers in a car is 3
b) median number of teachers in a car is 3
c) mean number of teachers in a car is 2.5
Step-by-step explanation:
- modal number is 3 because that is the highest frequency of numbers of cars
- median number is 3 because it is the middle number when you expand the frequency table.
- mean number is 2.5 because that is the approximate average of all the numbers.
