The answer to this word problem is letter A. 200.
Here is the solution:
given:
candy bars in batches of 800
fixed cost of $ 20 per batch
variable cost of $ 0.10 x
x= the number of batches
<u>$ 20 ( 800 )</u> = <u>16, 000</u>
$ 0.10 (800) 80
= 200
By graphing the given points, we will get the attached figure
which represents:
f(x) = 3 sin x
but sin x = cos (x - π/2)
∴ f(x) = 3 cos ( x - π/2 )
The correct choice is option ⇒⇒⇒ <span>f(x) = 3 cos(x − pi over 2 )
</span>
Answer:
k > 1 is the solution.
Step-by-step explanation:
We are given that 'Negative 5 is fewer than 6 less than a number k', so algebraically it means that - 5 < k - 6.
Then this is a linear inequality of single variable k and we have to solve it.
Now, we have
- 5 < k - 6
⇒ - 5 + 6 < k - 6 + 6 {Adding 6 to both sides}
⇒ 1 < k
⇒ k > 1
This is the solution of the given inequality. (Answer)
Answer:
B
Step-by-step explanation:
The differences in the terms of f(x) are + 3, + 5, + 7
Since the differences are not constant the relationship is not linear
Note the differences in the differences are + 2, + 2,
The second differences are constant indicating a quadratic relationship
Note the relationship between x and f(x)
x = 1 → 1² = 1 ← require to add 5, that is 1 + 5 = 6 ← value of f(x)
x = 2 → 2² = 4 ← require to add 5, that is 4 + 5 = 9 ← value of f(x)
x = 3 → 3² = 9 ← require to add 5, that is 9 + 5 = 14 ← value of f(x)
x = 4 → 4² = 16 ← require to add 5, that is 16 + 5 = 21 ← value of f(x)
Thus f(x) = x² + 5 → B
13.5/3 = 4.5
He hiked for 4.5 hours.
