Answer:
slope or m= -5/2
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
5x - 2y + 1 > 0
plug in the given ordered pair x= -2 and y = -1:-
5(-2) - 2(-1) + 1
= -10 + 2 + 1
= -7 which is less than 0 therefore the answer is False
A = 113.1
so the formula for the area of a circle is
A = pi x r^2
-pi is 3.14(rounded)
-r stands for the radius of the circle which is half the diameter so for this circle your r or radius is 6 and the radius is just squared
so when you plug the numbers in the formula it is
A = 3.14 x 6^2(squared)
A = 3.14 x 36
A = 113.1
Since there is a 95% chance that you get two printers right, then you simply square the decimal equivalent which is .95 (Hence, you do .95^2). You will get .9025 (or 90.25%).
For letter b, you simply subtract .9025 from 1.
ans = 1-.9025
ans = .0975 (or 9.75%)
So the answer to B) would be there is a 9.75% chance the probability of a shipment can be rejected.
First, you need to find the derivative of this function. This is done by multiplying the exponent of the variable by the coefficient, and then reducing the exponent by 1.
f'(x)=3x^2-3
Now, set this function equal to 0 to find x-values of the relative max and min.
0=3x^2-3
0=3(x^2-1)
0=3(x+1)(x-1)
x=-1, 1
To determine which is the max and which is the min, plug in values to f'(x) that are greater than and less than each. We will use -2, 0, 2.
f'(-2)=3(-2)^2-3=3(4)-3=12-3=9
f'(0)=3(0)^2-3=3(0)-3=0-3=-3
f'(2)=3(2)^2=3(4)-3=12-3=9
We examine the sign changes to determine whether it is a max or a min. If the sign goes from + to -, then it is a maximum. If it goes from - to +, it is a minimum. Therefore, x=-1 is a relative maximum and x=1 is a relative miminum.
To determine the values of the relative max and min, plug in the x-values to f(x).
f(-1)=(-1)^3-3(-1)+1=-1+3+1=3
f(1)=(1)^3-3(1)+1=1-3+1=-1
Hope this helps!!
