Which equations represent functions?
2 answers:
Answer:
Option A -
Step-by-step explanation:
To find : Which equations represent functions?
Solution :
Function is defined as the relationship between two variables in which one variable is dependent s.t. for one variable we have the value of other.
From the given options,
A.
This is a function of variable x and y forming a linear equation.
B.
This is not a function as there is only one variable x.
C.
This is not a function as there is only one variable x.
D.
This is not a function as there is only one variable y.
E.
This is not a function as there is only one variable x.
Therefore, Option A is correct.
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<u>Let's take this problem step-by-step</u>:
<u>Let's first set up some variables</u>:
- c: # of children
- a: # of adults
<u>Let's examine the information given:</u>
- Elevator can hold a maximum of 1500 pounds
⇒ average child is 75 pounds
⇒ average adult is 150 pounds
⇒<em> therefore</em>:
- Elevator can fit no more than 14 people
⇒ <em>therefore</em>:
<u>Let's graph the equations</u>:
⇒ look at the image attached
<u>The point at which the two graphs intersect:</u>
⇒ <em>is the solution that represents the amount of children and adults and </em>
<em> their combine weight</em>
<em />
<u><em>With the horizontal axis being the # of children and vertical axis being the # of adults</em></u><em>:</em>
<em> ⇒ the </em><em>solution is 8 children and 6 adults</em>
<em></em>
<u>Answer: 8 children and 6 adults</u>
<u></u>
Hope that helped!
<em />
Answer:
k = 9/8
Step-by-step explanation:
For a root with multiplicity 2, the discriminant must be zero. For quadratic ax^2 +bx +c, the discriminant is ...
d = b^2 -4ac
For your quadratic, a=2, b=3, c=k, so you want ...
3^2 -4(2)(k) = 0
9 -8k = 0
k = 9/8
