Answer:
y=-4x-3
Step-by-step explanation:
y=mx+b
y=b=-3 ( y intercept is when x=0, then y=b=-3)
y=-4x-3
The definition of the tangent function tells you
tan(angle) = (300 ft) / (distance to mountain)
This equation can be rearranged to
(distance to mountain) = (300 ft) / tan(angle)
For the far end of the river,
distance to far end = (300 ft) / tan(24°) ≈ 673.8 ft
For the near end of the river
distance to near end = (300 ft) / tan(40°) ≈ 357.5 ft
Then the width of the river can be calculated by finding the difference of these distances:
width of river = distance to far end - distance to near end
width of river = 673.8 ft - 357.5 ft
width of river = 316.3 ft
The appropriate answer choice is
316 ft.
Answer:
The successful completion of the exam review packet
Step-by-step explanation:
In order to do well on an exam, a student must practice to be prepared. The event that is most closely associated with this in this question is completion of the exam review packet.
So you have to find something that multiples to six but also somehow either subtracts or adds to five. So I would pick 2 and 3 because two plus three is five. Then you would write out your equation
X2+2x+5x+6
This may not be the way your teacher taught however it is much easier for me to do it this way.
Answer:
The value of g(f(100)) is 65.
Step-by-step explanation:
It is given that one coupon is good for 20% off of the total not including tax. The other coupon will take $15 off of her pre-tax total.
The given functions are
where, f(x) calculates the total after the 20% off coupon and g(x) calculates the total after the $15 dollar off coupon.
We need to find the value of g(f(100)).
Substitute x=100 in the above function.
Substitute x=80 in function g(x) to find the value of g(f(100)).
Therefore, the value of g(f(100)) is 65.
g(f(x)) represents the value goods after applying both coupons consecutively.
Therefore, g(f(100)) represents the value of $100 goods after applying both coupons consecutive is 65.