Power of power rule:
Zero-Exponent Rule: a0 = 1, this says that anything raised to the zero power is 1. Power Rule (Powers to Powers): (am)n = amn, this says that to raise a power to a power you need to multiply the exponents. ... Only move the negative exponents.
Power of product rule:
The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. ... Adding the exponents is just a short cut! Power Rule. The "power rule" tells us that to raise a power to a power, just multiply the exponents.
So we know there are 12 eggs and they will be distributed like this:
12=x2+y1
and 4 cups of flour:
4=1/3x+1/2y
let's see if we can find a solution in which all the materials are used:
12=x2+y1
4=1/3x+1/2y//*6
12=2x+y
24=2x+3y//*6
substract from each other:
12=2y
y=2
12=2x+y
12=2x+2
10=2x
x=5
So if nothing is wasted, he can make 5 blueberry muffins (making 12*5=60) and 2 bran muffins (2*9=18), together 78 dollars,
would it be better if instead of the bran muffins he did blueberry muffins (which are more expensive?)
for the branberry muffins he will used the double amount needed for 1: so 1 cup of oil and 2 eggs. From this he can only make 1 tray of blueberry muffins (and some oil will be left over), which will cost 12 dollars, which is less than 18
so he better make 6 blueberry and 2 bran trays
Answer:
x= 3/17
Step-by-step explanation:
4x(2x+6) =8x^2(23-5)
8x^2 +24x = 144 x^2
24x = 136 x^2
24= 136 x
x=24/136
x=3/17
