The function g is defined as follows: g(t) = 6t - 1 What is the input value for which g(t) = -7? t=
The function g is defined as follows: g(t) = 6t - 1 What is the input value for which g(t) = -7? t=
If an archer shoots an arrow straight upward with an initial velocity of 128 ft/sec from a height of 6 ft, then its height above the ground in feet at time t in seconds is given by the function h(t)=-16t^2+128t+6...
f is a function that takes a real number x and performs these four steps in the order given: (1) Multiply by -1. (2) Add 1. (3) Take the square root. (4) Take the reciprocal...
Let f (x) = 4x^2 + 2x – 8 and g(x) = 1 – 2x. (a) Evaluate the function g – f for x = –3. That is, find (g – f)(–3). (b) Evaluate the function fg for x = –3. That...
Each time you fill up a drink from the soda fountain, it uses $.05 worth of product. If you charge $1.99 for a fountain drink and have free refills, what is your percentage profit on a customer that...
Solve the following rational equations; be sure to check for extraneous solutions (solve all please): A) (2x/x-3) + (3/x-2) = (6/x^2 -5x+6) B) (3/x-2) = (x+2...
A small publishing company is planning to publish 2 books this month: book A and book B. The publishing cost is $6 each for books and $8 each for book B. The total cost can be no more than $7200...
I'm doing a problem with functions and it's asking me to find f(a+7) and simplify. The original problem is f(x)=x+5/(x-8)^2...I plugged in f(a+7) and came up with this f(a+7)=(a+7)+5/((a+7)-8)^2...
If 2^x = 3^y = 6^-z , then find the value of [1÷x +1÷y+1÷z]
5a - 8b =4 10a + 42c =48 16b + 28c = 28
a paddle boat can move at a speed of 20 km/h in still water. The boat is paddled 14 km downstream in a river in the same time it takes to go 7 km upstream. What is the speed of the river?
6. Luke wants to purchase custom-made mugs to advertise his business. Two companies offer different deals: Company A: Pay a design fee of $50.00, plus $4.50 per mug or Company B: Pay...
The number of guests g in a water park t hours after 9 am is given by g(t) = –32t2 + 224t + 263 for 0 ≤ t ≤ 8. (t = 0 corresponds to 9 am) Find and interpret the average rate...
This is all it gives me.
((where x is the horizontal distance in meters and f(x) was the height in meters.)) I got the question partially correct, the red flare went the highest but I got the highest height of the two...
all it says is solve, please include steps :)
Flying too fast or slow wastes fuel. For a certain aircraft, miles per pound of fuel M was a function of air speed A in miles per hour, modeled by the formula M = -0.000657A^2+0.127A-5.04...
Each interior angle ã in a regular ñ-gon has a measure of ã = 20ñ. How many sides does the polygon have?
A paddle boat can move at a speed of 14 km/h in still water. The boat is paddled 20 km downstream in a river in the same time it takes to go 10 km upstream. What is the speed of the river? The...
If Dr. Suzuki rides his bike to his office, he averages 15 miles per hour. If he drives his car, he averages 30 miles per hour. His time driving is 1/5 hour less than his time bicycling. How far is...