Answer:
242.
Step-by-step explanation:
C = 0.03 x 2 − 8 x + 700
When the marginal cost = $522 we have:
522 = 0.03 x 2 − 8 x + 700
0.03x^2 - 8x + 700 - 522 = 0
0.03x^2 - 8x + 178 = 0
Using the quadratic formula:
x = [ -(-8) +/- sqrt( 64 - 4 * 0.03 * 178)] / 0.06
= 8 +/- sqrt42.64 / 0.06
= 242 players.
Answer:
1. numbers 2. numbers 3. numbers 4. numbers 5. numbers 6. numbers 7. numbers 8. numbers 9. numbers 10. numbers 11. numbers 12. numbers
Step-by-step explanation:
Answer:
Mark's shadow would be 3 feet.
Step-by-step explanation:
If a building is 50 feet tall and casts a 25 foot shadow, then the shadow of an object is <u>1/2</u> the length of the actual object.
This can be supported by the division problem:
50 ÷ 2 = 25
If Mark is 6 feet tall, then we need to <em><u>divide</u></em> 6 by 2 in order to find the length of the shadow.
6 ÷ 2 = 3
Therefore, Mark's shadow would be 3 feet.
Hope this helps! :D
Answer:
Close! But not quite 42 exactly.
Step-by-step explanation:
96/1 X 4/9 = 384/9
Simplify that and you get 42 and 2/3
as a mixed fraction that would be 128/3
Or, if you were rounding to the nearest whole number, you'd round up to 43.
Translations to the left and right take the form f(x-s), where s is the value of the shift. Note that shifts in the positive (right) direction appear negative, and shifts in the negative (left) direction appear positive. It's common to mistake these, so memorize the rule! In this case, the shift becomes f(x-4) = -3(x-4). A vertical stretch takes the form of k*f(x), where k is the value of the stretch. This stretch would appear as 4*f(x) = 4(-3x). Combining these transformations would yeild 4*f(x-4) = 4[-3(x-4)]. Simplify for the final result.
