Answer:
The answer is...
Step-by-step explanation:
No, because the bike order does not meet the restrictions of 4c+6a (less than or equal to) 120 and 4c+4a (less than or equal to) 100
-- Candy takes 57 minutes to do the whole job ==>
She does 1/57 of the job every minute.
-- Tim takes 114 minute to do the whole job ==>
He does 1/114 of the job every minute.
-- If they work together, they do (1/57 + 1/114) of the job every minute.
We have to add those fractions.
The least common denominator is 114.
(1/57 + 1/114)
= (2/114 + 1/114)
= 3/114 = 1/38 .
Working together, Candy and Tim do 1/38 of the job every minute.
So it takes them 38 minutes to do the whole job together.
Answer:
y = 1.5
Step-by-step explanation:
Given x is inversely proportional to
, then the equation relating them is
y =
← k is the constant of proportion
To find k use the condition when x = 8, y = 2
2 =
=
=
( multiply both sides by 3 )
6 = k
y =
← equation of proportion
When x = 15 , then
y =
=
=
=
= 1.5
The vertex is 
Explanation:
The equation is 
To find the vertex, we need the equation in the form of 
Dividing each term by 2 in the equation 

Now, completing the square by adding and subtracting 1, we get,

The first three terms can be written as
,
![f(x)=2[(x+1)^{2}+\frac{1}{2} ]](https://tex.z-dn.net/?f=f%28x%29%3D2%5B%28x%2B1%29%5E%7B2%7D%2B%5Cfrac%7B1%7D%7B2%7D%20%20%5D)
Multiplying 2 into the bracket, we get,

This equation is of the form 
Now, we shall find the vertex 
Thus,
and 
Thus, the vertex is 
Answer:
x would be 7
Step-by-step explanation:
2x7 = 14
14-3=11!
Hope I could help!
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