The 1st and 2nd question is 25.
Factor out a GCF of 4, then you are left with perfect squares.
4(100-9x^2)
Factor what is left as a difference of perfect squares (the outside and inside terms from FOIL should cancel out which is why each parenthesis has a different sign
f(10+3x)(10-3x)
Answer: Angle A= 135 degrees and Angle B= 45 degrees
Step-by-step explanation:
Supplementary means two angles added together to make 180.
Angle A= 3x and Angle B= x
So 3x +x =180
4x=180 divide both sides by 4
x =45
So Angle A = 3 times 45 =135 degrees
Angle B= the value of x which is 45 degrees
To find concavity we need to find the second derivative.
Use quotient rule to find f'(x)=4/(x+3)^2
Then use chain rule to find f''(x)=-8/(x+3)^3
To find potential inflection points, we need to find all x values where the second derivative is equal to 0 or is undefined.
Set the numerator and denominator equal to 0 and solve.
(x+3)^3=0
x+3=0
x= -3
Now plug a value less than -3 and greater than -3 into the second derivative to find where the concavity is upward (positive number).
Since f''(-4) is positive, that means that f(x) is concave up on the interval (-infinity, -3).
Inverse Functions. An inverse function goes the other way! Let us start with an example: Here we have the function f(x) = 2x+3, written as a flow diagram: The Inverse Function goes the other way: So the inverse of: 2x+3 is: (y-3)/2 .
