a) You are told the function is quadratic, so you can write cost (c) in terms of speed (s) as
... c = k·s² + m·s + n
Filling in the given values gives three equations in k, m, and n.
Subtracting each equation from the one after gives
Subtracting the first of these equations from the second gives
Using the next previous equation, we can find m.
Then from the first equation
[tex]28=100\cdot 0.01+10\cdot (-1)+n\\\\n=37[tex]
There are a variety of other ways the equation can be found or the system of equations solved. Any way you do it, you should end with
... c = 0.01s² - s + 37
b) At 150 kph, the cost is predicted to be
... c = 0.01·150² -150 +37 = 112 . . . cents/km
c) The graph shows you need to maintain speed between 40 and 60 kph to keep cost at or below 13 cents/km.
d) The graph has a minimum at 12 cents per km. This model predicts it is not possible to spend only 10 cents per km.
Answer:
68
Step-by-step explanation:
Let x=adult tickets and y=child tickets
1) 15x+11y=1889
2) x+y=147
multiply equation 1 by -1/11 on both sides to get:
-(15/11)x-y=-171.73
add new equation with equation 2 to get
-4/11x=-24.73
Isolate x to get:
x=67.99999
Round up to get 68 adult tickets
Here is a way you can write an exponent on the phone (x^2) just so you don’t have to explain the 2 is an exponent
i am confused on where the exponent is supposed to be so could you please rewrite it and i will help you solve it!
Answer:
x+0.05x=3.15 which has one solution
Step-by-step explanation:
Complete question below:
Joshua sells a pack of pens for 3.15 which is 5 percent more than he pays for them. which equation will help find x, the amount he pays for a pack of pens? how many solutions will this equation have? x+0.05x=3.15, which has infinitely many solutions x+0.5x=3.15, which has one solution x+0.05×=3.15 which has one solution 0.05×=3.15, which has no solution
Let
x= the amount Joshua pays for a pack of pen
5% of x more than he paid for them
=0.05x more
Buying price=0.05x + x
Selling price=3.15
Equate buying and selling price
0.05x + x = 3.15
1.05x=3.15
Divide both sides by 1.05
1.05x / 1.05 = 3.15/1.05
x=3
The equation is 0.05x+x=3.15
The answer is:
x+0.05x=3.15 which has one solution
