Answer:
Step-by-step explanation:
Well Mr.Thomas has 50 dollars to spend so if you divide 2.50 from 50 you will get 20 so he can get 20 raffle tickets and still walk out with another 50 in his pocket.
Answer:
slope if -7/8 and y-intercept is 43/16
Step-by-step explanation:
-5+14x+16y=38
14x+16y=43
16y=43-14x
16y=-14x+43
y=-7/8x+43/16
Therefore, slope if -7/8 and y-intercept is 43/16
Answer:
<u>Part (a)</u>
It depends how your calculator calculates quadratic regressions.
For my calculator:
- Go to Statistics menu
- Select quadratic regression: y=a+bx+cx²
- Input the x and y values from the given table
- Go to options and select regression calc
a = 1.177142857 = 1.18 (nearest hundredth)
b = 42.22257143 = 42.22 (nearest hundredth)
c = -12.87142857 = -12.87 (nearest hundredth)
⇒ y = 1.18 + 42.22x - 12.87x²
Therefore, the quadratic regression equation in standard form is:
<u>Part (b)</u>
To estimate the height of the rocket after 5 seconds, input x = 5 into the regression equation:
As this gives us a negative value, this means that the rocket would have come back to the ground before 5 s. Therefore, the height of the rocket at 5 s will be 0 ft.
(see attached graph → the rocket will hit the ground at approx 3.3 s)
1. Let <em>y</em> represent the amount of money earned, and <em>x</em> the number of cars they wash. Then
<em>y</em> = 5<em>x</em>
Why? Each car wash costs $5. So no car washes means no earnings; 1 car wash earns $5; 2 washes earn $10; 3 washes earn $15, and so on, so that <em>x</em> car washes generate $5<em>x</em>.
2. No matter how many cars they end up washing, they will have spent $75 to set up the operation, so you subtract 75 from the equation is part (1).
3. Taking into account the setup cost of $75, the profit they make is given by
<em>y</em> = 5<em>x</em> - 75
4. When <em>x</em> = 0, meaning no cars get washed, the profit is -$75, meaning the team loses $75.
5. Set the profit function equal to 0 and solve for <em>x</em> :
5<em>x</em> - 75 = 0
5<em>x</em> = 75
<em>x</em> = 75/5
<em>x</em> = 15
So the team has to wash at least 15 cars to break even.
Answer:
5 five-dollar coins and 3 ten-dollar coins
Step-by-step explanation:
10x3=30
5x5=25
30+25=55
