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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...

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...

I have 1 more if that isn't being a bother. Two angles are complementary if the sum of their measures is 90. Find the measures of the two if one angle is 5 times the other angle. Thank you,...

Given f(x)=x-5 and g(x)=↑x+7↑ (the arrows are absolute signs   How do I explain (-infiniti sign, -7) ∪(-7, infiniti sign) is the domain of the quotient function f/g &nbs...

A radio active isotope decays according to the exponential decay equation where t is in days. Round to the thousandths place. For the half life: The half life is the solution (t)...

Find and interpret P(300), where P(x) is the profit function in part (d)   here is part d P(x)=-0.02x^2+38x-5250   Here is the original question in case The cost,...

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...