Answer:
Annike's bike trip started at 7:00, if she and Celia both start at the same time you would multiply Annike's average speed by Celia's average speed to find where they would have completed the same number of miles
equation: 11×14=154 14×11=154
Step-by-step explanation:
counting by 11:
11 22 33 44 55 66 77 88 99 110 121 132 143 <em><u>154</u></em>
11 × 14 = 154
counting by 14:
14 28 42 56 70 84 98 112 126 140 <em><u>154</u></em>
14 × 11 = 154
Answer:
simplified: 
unsimplified: 
Step-by-step explanation:
Since the fractions have the same denominator, all we have to do is subtract the numbers in the numerator:
15 - 3 = 12
The difference of the two fractions is . To simplify this answer, divide both the numerator and the denominator by 4:
12/4 = 3
20/4 = 5
The difference in simplified form is .
I hope this helps. :)
Answer:
Step-by-step explanation:
1) translate the given informations in a operation
8x^2 -7x - 2 - (6x^2-x+3)
2) change the sign of all the terms in the bracket
8x^2 -7x -2 -6x^2 + x -3
3) simplify the expression
2x^2 - 6x -5
Answer:
Maximum height is 7 feet
Step-by-step explanation:
Solution:-
- The complete question is as follows:
" The height of a small rise in a roller coaster track is modeled by f(x) = –0.07x^2 + 0.42x + 6.37, where x is the distance in feet from a supported at ground level.
Find the greatest height of the rise "
- To find any turning points ( minimum or maximum ) points of a trajectory expressed as function of independent parameter, we find the critical points of the trajectory where the first derivative of the dependent variable w.rt independent variable is set to zero.
- In our case the height of the roller coaster track (y) is function of the distance (x) from a supported pole at ground level.
f(x) = –0.07x^2 + 0.42x + 6.37
- Now set the first derivative equal to zero, and determine the critical values of x:
0 = -0.14x + 0.42
x = 0.42 / 0.14 = 3 ft
- The critical value for the coaster track is at point 3 feet away from the supported pole at ground level. So the height f(x) at x = 3 ft, would be:
f ( x = 3 ) = max height
max height = –0.07*3^2 + 0.42*3 + 6.37
= 7 ft
The answer is 5 3/5 or in decimal form 5.6
