Answer:
5+10x = total earned
Step-by-step explanation:
15 is the amount for the first lawn, and every lawn per homeowner after that he charges 10 bucks. plug in the number of times he has mowed their lawn for x, and the 5 is like the first time charge
Answer:
8.82
Step-by-step explanation:
Add the basketball and airpump together and subtract from 50
Answer:
Step-by-step explanation:
Data from the question;
Perimeter of a rectangle is 
cm
Length is 
cm longer than the width
We are supposed to determine the length and the with of the rectangle;
Assuming, the width x cm
Then, the length is 
cm
We need to know that the perimeter of a rectangle is given by;
Perimeter = 2 ( length + width)
Therefore;
Thus;
Therefore;
Therefore; the length is 
cm while the width is 
cm
Answer:
$77
Step-by-step explanation:
Let Friday be the variable f.
Let Saturday be the variable s.
Substitute 11 for f in the second equation.
Therefore, Kaitlin collected $77 on Saturday
h(t) = -46t² + 40t + 3
We can think this graph by t being the x-axis and h being y-axis
So we want the maximum value to y.
We know by math that the vertex of a parabola is (-b/2a, -Δ/4a)
So the y value of the vertex is -Δ/4a
Let's calculate:
Δ = b² - 4.a.c
Δ = 40² - 4.(-46).3
Δ = 2152
Yvertex = -2152/4.(-46)
Yvertex = 2152/184
Yvertex = 269/23
Now we have the value of y we need to equal it to the equation
269/23 = -46t² + 40t + 3
-46t² + 40t + 3 - 269/23 = 0
-46t² + 40t - 200/23 = 0
Δ = b² - 4.a.c
Δ = 40² - 4 . -46 . (-200/23)
Δ = 1600 - 4. -46 . (-200/23)
Δ = 0
There's 1 real root.
In this case, x' = x'':
x = (-b +- √Δ)/2a
x' = (-40 + √0)/2.-46
x'' = (-40 - √0)/2.-46
x' = -40 / -92
x'' = -40 / -92
x' = 0,43478260869565216
x'' = 0,43478260869565216
So, after approximately 0,4348 seconds the balloon will reach the highest point.
B) height after 2 seconds
h(2) = -46.2² + 40.2 + 3
h(2) = -46.4 + 80 + 3
h(2) = -184 + 83
h(2) = -101
Not sure how it's possible but it would be -101.
