Answer:
b. never
Explanation:
A fraction is always in the form p/q, where q is not 0; or can be converted in that form (in case of mixed fraction).
A number is said to be irrational, if it cannot be expressed in the form p/q, where q is not 0.
Answer:
The vertex would be (-1, -5).
Step-by-step explanation:
In order to find this, first find the x-coordinate of the vertex. You can do this by calculating out -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.
-b/2a
-(-2)/2(-1)
2/-2
-1
So we know the x-coordinate to be -1. Now we plug that into the equation and find the y value.
-x^2 - 2x - 6
-(-1)^2 - 2(-1) - 6
-(1) + 2 - 6
-5
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Answer:
She should add 30 ounces of the 12% vinegar she should add to 40 ounces of the 5% vinegar to obtain the needed vinegar with an 8% acidity level.
Step-by-step explanation:
Let X be ounces of the 12% vinegar she should add to 40 ounces of the 5% vinegar to obtain the needed vinegar with an 8% acidity level.
We have the equation
when 8% acidity level is reached.
Solving the equation we have
X*0.12+2=0.08(X+40)=0.08X+3.2
That is 0.12X-0.08X=3.2-2=1.2
Finally 0.04X=1.2 and
X=30
