Answer:
Just took the test,
1)d, 3
2)a, -13
3) c, y=-2x+6
4) c, f'(a)=8a+2
Step-by-step explanation:
For #3, graph f(x)=-x^2+5. Next graph y=-2x+6. You will see that the added equation touches at exactly the point (1,4). this make it the tangent line equation
Answer:
BD = 4.99 units
Step-by-step explanation:
Consider the triangle ABD only.
The angle formed is 31 degrees which occurs between two sides that are AD and BC.
We know that for a right angled triangle, the angle can always be taken as an angle between hypotenuse and base.
Thus, The perpendicular sides is then 3 units, where base is BD and Hypotenuse is AD
Using formula for tanθ
tanθ = Perpendicular/Base
tan31 = 3/BD
0.601 = 3/BD
BD = 3/0.601
BD = 4.99 units
Rent all
55.5/3 = 18.5
74/4 = 18.5
it costs 18.5 per day
1. y = 18.5 x where y =cost and x=days
A-1
10.99 per 1/2 day
10.99 * 2 =21.98 per day
2. it costs 21.98 per day from A-1
Rentall is the better deal because it is only 18.50 per day versus 21.98 per day
Answer:
Pat a) The unit rate of graph at left is 
Part b) The unit rate of graph at right is 
see the attached figure
Step-by-step explanation:
we know that
The unit rate of a linear equation is the same that the slope of the linear equation
step 1
Find the slope of the graph at left
This graph represent a proportional relationship (because the line passes through the origin)
The slope is equal to the constant of proportionality k

we have the point (1,25)
substitute the values in the formula

step 2
Find the slope of the graph at right
we have the points (2,80) and (3,120)
This graph represent a proportional relationship (because the line passes through the origin)
The slope is equal to the constant of proportionality k

Is necessary only one point to determine the constant of proportionality
take the point (2,80)
substitute the values

<u>Verify</u>
The formula to calculate the slope between two points is equal to

we have the points (2,80) and (3,120)
substitute the values

