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Answer:
Step-by-step explanation:
Generally equation of a line is given as
y=mx+c
Then given the point (x, y)=(0,2)
Therefore x=0 and y=2
y=mx+c
2=m×0+c
2=0+c
Then, c=2
Then intercept is 2
Also given the point (x, y)=(3,4)
x=3 and y=4 and c=2
y=mx+c
4=m×3+2
4=3m+2
4-2=3m
2=3m
Then, m=2/3
Then, the slope of the graph is 2/3
y=mx+c
Now, m=2/3 and c=2
The general equation of the line becomes
y=2/3x+2
Multiply through by 3
3y=2x+6
Then this is the equation of the line
Answer:
3 seconds
Step-by-step explanation:
To find the highest point, we want to find the vertex of the parabola. Since the function will be negative, the vertex will represent the highest point.
To find the vertex we want this equation in vertex form:
y=a(x−h)2+k
and the vertex will be (h,k)
We can expand the equation h(x)=-(x+1)(x-7) to be:

To get the vertex form we need to complete the square.
The vertex form is :

so our vertex is (3,16)
This means the highest point will be 16 when x = 3
$3.50 being the amount the item <em>t</em> costs and <em>t</em> being the number of this item.