Answer:
max{x²-4x²+5} = 5 at x = 0
Step-by-step explanation:
1. Find the critical numbers by finding the first derivative of f(x), set it to 0 and solve for x.
We get:
So the critical number is x = 0.
2. Evaluate the first derivative by plugging in the critical number and see if the derivative is positive or negative on both sides:
is positive when the x < 0 (for example: -6*(-1)=+)
is negative when the x > 0 (for example: -6*(1)=-)
Therefore, you have a local maximum.
Now just get the Y value by plugging in the critical number in the original function. 
local maximum is (0,5)
Answer:
90
Step-by-step explanation:
90/10= 9
90/5= 18
No number larger than 90 would work.
Answer:
Last week Alexander earned $792 in commissions.
Step-by-step explanation:
Giving the following information:
Commission= 11%
Sales= $7,200
T<u>o calculate the total commission, we need to use the following formula:</u>
Total commission= commission rate*sales
Total commission= 0.11*7,200
Total commission= $792
Last week Alexander earned $792 in commissions.
Answer:
The answer is below
Step-by-step explanation:
Since 1000ml Of Dextrose 25% is needed to be produced from Dextrose 70%. Let us assume that x ml of Dextrose 70% is mixed with a Dextrose 5% to get 1000 ml of Dextrose 25%. Hence:
The amount of Dextrose 5% = 1000 ml - x ml = 1000 - x
25% of 1000 ml = 70% of x + 5% of (1000 - x)
25000 = 70x + 5000 - 5x
Simplifying gives:
65x = 25000 - 5000
65x = 20000
x = 308 ml
Therefore 308 ml of Dextrose 70% was mixed with 692 ml of Dextrose 5% to produce 1000 ml of Dextrose 25%.
2х3+10х+2у2-х-у=2х3+9х+2у2-у=2*3in3+9*3+2*5in2-5=2*27+27+2*25-5=54+27+50-5=126
