Answer:
Step-by-step explanation:
hello :
g(x) = (x+2)(x-4)/(x+2)(x-1)
1 ) this function no exist for if : x= -2 and 1
so the denominater is : (x+2)(x-1)
so : b= 2 and c=1
2) the x- intercept is : 4
so the numerater is : (x+2)(x-4)
g(x) =0 if : (x+2)(x-4)=0
means x-4=0 ... ( x+2 ≠ 0)
note :
g(x) ≠ (x-4)/(x-1) except in the case x ≠ -2
Answer:
x = y = 22
Step-by-step explanation:
It would help to know your math course. Do you know any calculus? I'll assume not.
Equations
x + y = 44
Max = xy
Solution
y = 44 - x
Max = x (44 - x) Remove the brackets
Max = 44x - x^2 Use the distributive property to take out - 1 on the right.
Max = - (x^2 - 44x ) Complete the square inside the brackets.
Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.
Max = -(x - 22)^2 + 484
The maximum occurs when x = 22. That's because - (x - 22) becomes 0.
If it is not zero it will be minus and that will subtract from 484
x + y = 44
xy = 484
When you solve this, you find that x = y = 22 If you need more detail, let me know.
Answer : The rate of depreciation is, $16000
Step-by-step explanation :
Formula used to calculate the rate of depreciation is:
Given:
Purchase price of asset = $15000
Salvage value = $7000
Estimate life asset = 3 years
Now put all the given values in the above formula, we get:
Deprecation rate = $16000
Therefore, the rate of depreciation is, $16000
Answer:
31
Step-by-step explanation:
f(4) = 6x4 + 7
= 24 + 7
= 31
