11 is divisible by three three times with a remainder of two so the mixed number would be 3 2/3<span />
Explanation:
Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.
Assume the quadratic equation to be where x is the variable.
Completing the square method is as follows:
- send the constant term to other side of equal
- divide the whole equation be coefficient of , this will give
- add to both side of equality
- Make one fraction on the right side and compress the expression on the left side
- rearrange the terms will give the vertex form of standard quadratic equation
Follow the above procedure will give the vertex form.
(NOTE : you must know that . Use this equation in transforming the equation from step 3 to step 4)
The function:f ( x ) = x * 0.965^twhere x is the initial amount and t is the number of the years80 = x * 0.965^380 = x * 0.89632x = 80 : 0.89632 ≈ 89Answer:The initial amount of animals was 89.
Answer:
the answer is (C) 2(1-2x)=x-3
Answer:
450 ounces
Step-by-step explanation:
We know that the cost of the mixture must be the cost of the everyday moisturizing lotion plus the cost of the self-tanning lotion , which means .
The cost of any substance will be the cost per ounce of the substance (c), multiplied by the number of ounces (n), which means C=nc, so we have from the previous formula that we have:
But we also know that the number of ounces of the mixture must be the sum of the number of ounces of the everyday moisturizing lotion with the number of ounces of the self-tanning lotion, so we have
We want to calculate the number of ounces of the self-tanning lotion (), so we solve for that variable:
And substitute our values in this formula, to get: