The product of two positive fractions are also less than one because you are multiplying a number which is already less than 1.
For example.
1/ 2 = is 50% of a whole.
When you multiply 1/2 by 1/2 you do not get the 100% of the whole because you are only getting 50% of the 50% of the whole, which in turn is equivalent to 25% of the whole.
1/2 * 1/2 = 1/4 of the whole.
The only time you can get a result of 1 and above where two fractions are less than 1 is when you perform addition of these fractions.
1/2 + 1/2 = 1
Answer:
Option A: Madison, (1.2,-1.6) is the correct answer.
Step-by-step explanation:
Observing Madison's solution it can be seen that he has used elimination method to solve the system. If elimination method has to be used the first equation has to be multiplied by 4
While Madison has made mistake with sign of one term in equation 1 (he has written -8x instead of 8x)
So <u>Madison's solution is wrong. </u>
Tyler has used the substitution method to solve the system of equations and has done it correctly (Calculated value of y in terms of x from equation 1 and substituted in equation 2)
The value of x=1.2 is correct, we have to find the value of y
So,
Putting the value of x=1.2 we get,
The solution of given system of equations is (1.2,-1.6)
Hence,
Option A: Madison, (1.2,-1.6) is the correct answer.
Factor each denominator:
x^2 + 2x + 1 = (x+1)^2
x^2 + 4x + 3 = (x+3)(x+1)
Now take the common and non common factors with the highest exponents and multiply them.
(x+3).(x+1)^2 is the least common denominator.
If you expand that product you will get x^3 + 5x^2 + 7x +3
Answer:
13
Step-by-step explanation:
For 6 cups is 7.80
For 10 cups is??
7.80×10=78
78/6=13