Answer:
Step-by-step explanation:
Translate this verbal description into a symbolic statement, acting from left to right:
(3/4)w + 5 = (1/2)(w) + 9
If we want to determine the value of w that satisfies this equation, begin by multiplying all four terms by the LCD (which is 4):
3w + 20 = 2w + 9
Then w = -11
Answer:
17) MC(x) = 35 − 12/x²
18) R(x) = -0.05x² + 80x
Step-by-step explanation:
17) The marginal average cost function (MC) is the derivative of the average cost function (AC).
AC(x) = C(x) / x
MC(x) = d/dx AC(x)
First, find the average cost function:
AC(x) = C(x) / x
AC(x) = (5x + 3)(7x + 4) / x
AC(x) = (35x² + 41x + 12) / x
AC(x) = 35x + 41 + 12/x
Now find the marginal average cost function:
MC(x) = d/dx AC(x)
MC(x) = 35 − 12/x²
18) x is the demand, and p(x) is the price at that demand. Assuming the equation is linear, let's use the points to find the slope:
m = (40 − 50) / (800 − 600)
m = -0.05
Use point-slope form to find the equation of the line:
p(x) − 50 = -0.05 (x − 600)
p(x) − 50 = -0.05x + 30
p(x) = -0.05x + 80
The revenue is the product of price and demand:
R(x) = x p(x)
R(x) = x (-0.05x + 80)
R(x) = -0.05x² + 80x
Answer:
Orange juive=3
Apple juice=4
water=5
3+4+5=12
12÷4
=3
Step-by-step explanation:
3 gallons of liquid
Because 1/4 is a fractional number, it is also a ratio which means it is Rational. :)
A number raised<span> to a </span>negative power<span> is equal to 1 divided by the </span>number raised<span> to the same </span>power<span> but positive
</span>therefore
[-1/2]^-3-----------> [-2]^3 =-8
the answer is [-1/2]<span>^-3
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