Answer:
Step-by-step explanation:
f(x)=-4(x-2)²+3
put x-2=0
axis of symmetry is x=2
g(x)=-2(x²+8x)+15
=-2(x²+8x+4²-4²)+15
=-2(x+4)²+32+15
=-2(x+4)²+47
put x+4=0
axis of symmetry is x=-4
h(x) is minimum at x=1
axis of symmetry is x=1
Answer:
=26x^3−12x^2+5x+7
Step-by-step explanation:
2x^3−3x+11−(3x^2+1)(4−8x)
Distribute:
=2x^3+−3x+11+24x^3+−12x^2+8x+−4
Combine Like Terms:
=2x^3+−3x+11+24x^3+−12x2+8x+−4
=(2x^3+24x^3)+(−12x^2)+(−3x+8x)+(11+−4)
=26x^3+−12x^2+5x+7
The reciprocal of 6/5 is D. 5/6
Reciprocal simply means swapping the position of the numbers in the fraction. The numerator becomes the denominator and the denominator becomes the numerator.
We need to get reciprocal of a fraction when division is performed.
For example: 2 ÷ 1/5
2 may be a whole number but in fraction form it is 2/1.
1st fraction = 2/1
2nd fraction = 1/5
In dividing fractions, the 1st step we need to do is to get the reciprocal of the 2nd fraction.
1/5 ⇒ 5/1
Then, we multiply the 1st fraction to the reciprocal of the 2nd fraction.
2/1 * 5/1 = 10
So, 2 ÷ 1/5 = 10
Answer:
Step-by-step explanation:
Given the function: 
f(x) =number of days it would take to complete the project
x =number of full-time workers.
The domain of a function is the complete set of possible values of the independent variable.
In this case, the independent variable is x, the number of full-time workers. We have shown that x cannot be zero as there must be at least a worker on ground.
Therefore, an appropriate domain of the function f(x) is the set of positive integers (from 1 to infinity).
