Answer:
Answer:
a = - 1.1
Step-by-step explanation:
Condition for a single variable function f(x) to be decreasing is f'(x) < 0.
So, in our case, .
Then, differentiating with respect to x on both sides we get,
⇒
⇒
{Dividing both sides with - 1 and hence the inequality sign changes}
⇒
⇒ 8 > - 6x³ {Multiplying both sides with x³}
⇒ 6x³ > - 8 {Interchanging the sides}
⇒
⇒ x > - 1.1
Therefore, a = - 1.1. (Answer)
Step-by-step explanation:
2 + 0.3 +0.04
0.5 +0.01
5+0.06+0.004
1 + 0.008
Answer: a
the answer is A because its the one that has repeated the most
Answer:
- 39 quarters and 41 nickels
Step-by-step explanation:
Let the number of quarters be x and nickels be y.
<u>Given:</u>
- Quarter is 25 cents
- Nickel is 5 cents
- Number of coins is 80
- Total amount is $11.80 = 1180 cents
<u>We have equations:</u>
- x + y = 80
- 25x + 5y = 1180
<u>Solve the system by elimination, subtract 5 times the first equation from the second one:</u>
- 25x + 5y - 5x - 5y = 1180 - 80*5
- 20x = 780
- x = 780/20
- x = 39
<u>Find the value of y:</u>
- 39 + y = 80
- y = 80 - 39y = 41
<u>Verify:</u>
- 25*39 + 5*41 = 975 + 205 = 1180
