Answer: y+1=-7 (x-5)
Step-by-step explanation:
The formula for point-slope form is y-y1= m (x-x1)
Step 1- Finding the slope by using formula
:
(5,-1) (6,-8) or (x1, y1) (x2, y2)
-8+1 = -7
6-5 = 1
Slope + -7/1 or -7
Step 2- Then insert numbers in point slope form:
y-y1 = m(x-x1)
y+1 = -7 (x-5)
Answer:
There are in total 3 maximum and minimum points of f(x)
Step-by-step explanation:
To find the number of stationary points (maximum and minimum points) in any function (f(x)), we need to find for what values of x does the derivative of f(x) equal to 0.
mathematically, for how many values of x does f'(x) = 0


since the factors can be separately solved we can write




Since there are 3 answers of x for which f'(x) = 0, we can say that the there are a total of 3 stationary (maximum or minimum) points in f(x).
Correct so far. Finish up.
.. (x +3)(x)(x -1) = 1170
.. x^3 +2x^2 -3x -1170 = 0 . . . . . . one sign change ⇒ one positive real solution
This is a cubic equation with one positive real solution. There are several possible approaches to solving this. My favorite is to let a graphing calculator show me the solution.
You can also factor 1170 = 13*10*9, so x=10.
The width of the prism is 10 feet; the length is 13 feet; the height is 9 feet.
10 gallons are about 38 liters.
See could have got the correct answer because if there was more numbers in the decimal you can round it to get .34 or because both answers have 12.3 and it doesnt matter about the other numbers after 3