The answer is D. y=2/3x
If you take the coordinates of each points of the line, (-3, -2) and (3, 2) and use the formula to find the slope, then putting it into formula of a line, you get
Step-by-step explanation:
the change in cost of 145-135.50 = 9.50 for an increase of students from 25 to 30. The ratio of change of cost to change of students = 9.50/5 = 1.9 and becomes the slope coefficient "m" in the formula y= mx + b. y = the total cost, mx becomes the variable cost and b becomes the fixed cost. To find b, use the data point given where the total cost = $135.50 when the students = 25, or 135.50 = 1.9*25 +b. Solving for b yields $ 88. Note that the other data point is where the total cost is $145 for students = 30. Using the new total cost equation shows that 30*1.9+88= 145
Answer:
<-6,-4>
Step-by-step explanation:
To find u+v, all you have to do is add the corresponding components of each.
That is for example on this problem, you would do
<-3,-5>+<-3,1>
=<-3+-3,-5+1>
=<-6,-4>.
Answer:
x=-5 Hope this helped! Goodnight!
Step-by-step explanation:
Let's solve your equation step-by-step.
−3(2x+6)=12
Step 1: Simplify both sides of the equation.
−3(2x+6)=12
(−3)(2x)+(−3)(6)=12(Distribute)
−6x+−18=12
−6x−18=12
Step 2: Add 18 to both sides.
−6x−18+18=12+18
−6x=30
Step 3: Divide both sides by -6.
−6x
/−6
=
30
/−6
x=-5
Answer:
The given relation
is a function.
Step-by-step explanation:
A relation
is given.
It is required to determine whether the given relation is a function.
To determine whether the given function is a relation, identify the domain and range and then check whether the given relation is a function.
Step 1 of 1
The given relation is {(a, b),(c, d),(e, d)}.
The set of the first components of each ordered pair is called the domain.
From the relation, the domain is {a, c, e}.
The set of the second components of each ordered the range.
From the relation, the range is {b, d, d}.
The given relation is a function. But it is not a one-to-one function.