Answer:
Step-by-step explanation:
8 (x -3) +7 = 2x (4 -17)
8(x -3) +7 = 2x (-13) here was the error because the had 13 that is incorrect
8x -24 +7 = -26x
8x -17 = -26x
-17 = -26x -8x
-17 = -34x
-17/-34 = x
1/2 =x
Yes you have a good example.
x = number of cookies
2*x = total amount spent on cookies at $2 each
2x-3 = amount you pay after the $3 discount is applied one time for the entire order
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a more numeric example may be this
Lets say you bought 12 cookies, so x = 12
This means it costs 2*x = 2*12 = 24 dollars total if the discount doesnt apply
However, the 3 dollar discount is there, so the grand total is 24-3 = 21 dollars.
Answer:
Step-by-step explanation:
The question is not displaying correctly.
4x·3x = 12x²
Step-by-step explanation:
Geometric mean is the square root of the product.
√(9 × 11) = √99 ≈ 9.950
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
