Answer:
Option C
Step-by-step explanation:
Given expression in the question is,
y = 
To get the value of t,
Take the log on both the sides of the expression,
log(
) = ![\text{log}[(2^{\frac{t}{30}})]](https://tex.z-dn.net/?f=%5Ctext%7Blog%7D%5B%282%5E%7B%5Cfrac%7Bt%7D%7B30%7D%7D%29%5D)
log() = 
t = 
t = ![30[\text{log}_2(\frac{y}{7})]](https://tex.z-dn.net/?f=30%5B%5Ctext%7Blog%7D_2%28%5Cfrac%7By%7D%7B7%7D%29%5D)
[Since, 
]
Therefore, Option C will be the answer.
Step 1: Find f'(x):
f'(x) = -6x^2 + 6x
Step 2: Evaluate f'(2) to find the slope of the tangent line at x=2:
f'(2) = -6(2)^2 + 6(2) = -24 + 12 = -12
Step 3: Find f(2), so you have a point on y=f(x):
f(2) = -2·(2)^3 + 3·(2)^2 = -16 + 12 = -4
So, you have the point (2,-4) and the slope of -12.
Step 4: Find the equation of your tangent line:
Using point-slope form you'd have: y + 4 = -12 (x - 2)
That is the equation of the tangent line.
If your teacher is picky and wants slope-intercept, solve that for y to get:
y = -12 x + 20
Answer:
The direction that the paraboa y=-4x^2-8x-13 open is
Down
The inequality that can be used to determine the number of boxes of donuts, d, they must sell in order to meet their goal is $1500 ≥ $575 + $5d.
<h3>What is the inequality?</h3>
Here are inequality signs and what they denote:
- > means greater than
- < means less than
- ≥ means greater than or equal to
- ≤ less than or equal to
Total amount that needs to be raised ≥ amount made at the fruit sale + (profit per box x number of boxes)
$1500 ≥ $575 + $5d
To learn more about inequality, please check: brainly.com/question/5031619
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Yes: example-because if u are running u are using energy
