Answer:
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Step-by-step explanation:
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Answer:
a=7 b=11 c=9
Step-by-step explanation:
-2-(9) -2-(9) = -2+9=7 b -2-9=-11 c -2-(-9)-(-2) = -2+9+2=9
Answer:
Step-by-step explanation:
The first and only rule really is to factor these down to their primes and then apply a very simple rule
For every prime, take out 1 prime for every prime under the root sign that equals the index. The rest are thrown away.
That's very wordy. Let's try and see what it means with an example
Take sqrt(27) The index is 1/2 (square root) That means we need two threes in order to apply the rule.
sqrt(27) = sqrt(3 * 3 * 3 ) For every two primes take out 1 and throw one away.
sqrt(27) = 3 sqrt(3) You can't take out that 3rd 3.
64 = 2 * 2 *2 *2 *2 * 2
4th root 64 = <u>2*2*2 </u><u>*2</u><u> </u>* 2 *2
for every 4th root, you get to take 1 out and throw three away.
4th root 64 = 2 fourth root (2*2)
4th root 64 = 2 fourth root (4)
- 189 = - <u>3 * 3 * </u><u>3</u> * 7
cuberoot (- 189) = For every 3 roots, you get to pull 1 out and throw the other two away.
3 cube (- 7) is your answer.
72 = 2 * 2 * 2 * 3 * 3
cube root (72) = 2 cube root(9) You don't have enough threes to do any more than what is done.
Answer:
44 large houses and 16 small housed should be sold per month to obtain the best returns
Step-by-step explanation:
Let x denotes large bird houses and y denotes small bird houses.
We are given that Both types of houses go through two technicians; first a shaper and then a painter
The large house requires two hours of the shaper's time and and then a painter.
The small house requires one hour of the shaper's time and two hours of the painter's time.
We are given that The shaper has 104 hours and the painter has 76 hours of time available this month.
So, 
Plot the lines on the graph
Refer the attached graph
The boundary points of feasible region are :
(0,0),(0,38),(44,16),(52,0)
Profit on the large house is $6 and on the small house is $11.
So, P=6x+11y
At(0,0)
P=0
At(0,38)
P=6(0)+11(38)=418
At (44,16)
P=6(44)+11(16)=440
At(52,0)
P=6(52)+11(0)=312
So, The company gets the best returns at(44,16)
So, 44 large houses and 16 small housed should be sold per month to obtain the best returns
