Answer: −18x+4
Step-by-step explanation:
=(−6)(3x+ −2/3)
=(−6)(3x)+(−6)(
−2/3)
Answer:
1630x+8
Step-by-step explanation:
I did it in my head, not that hard tbh, you can do it too, I believe in you(8 doesn't have an x so it's just there, doing nothing)
Answer:
4.41 feet per second.
Step-by-step explanation:
Please find the attachment.
We have been given that a man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. We are asked to find how fast must he let out the string when the kite is flying on 34 ft. of string.
We will use Pythagoras theorem to solve for the length of side x as:
Now, we will use Pythagorean theorem to relate x and y because we know that the vertical side (16) is always constant.
Let us find derivative of our equation with respect to time (t) using power rule and chain rule as:
We have been given that , and .
Therefore, the man must let out the string at a rate of 4.41 feet per second.
Answer: $ 436.81
Step-by-step explanation:
Given: Hourly rate for Peggy= $7.50
Also, she receives 9% of the gratuities earned by all the staff.
Total hours she worked = 35 hours
Total gratuities = $1936.80
Gross pay = (Hourly rate ) x (Number of hours worked)+ 9% of (Total gratuities )
= $ [(7.50 ×35)+(0.09 ×1936.80)]
= $ (262.5 +174.31)
= $ 436.81
Hence, her gross pay = $436.81
The second choice is the correct choice because a set of parallel lines has to have the same slope. Since the first equation given has a slope of 3/4, and the only answer choice with a slope of 3/4 is the second choice, the second choice is the correct answer. I hope that this helps :)