-1.9 = x/.5 given equation
multiply both sides by .5
.5(-1.9) = x/(.5) *(.5)
-.95 = x
check: -1.9 = -.95/ .5
<h3>Given</h3>
Two positive numbers x and y such that xy = 192
<h3>Find</h3>
The values that minimize x + 3y
<h3>Solution</h3>
y = 192/x . . . . . solve for y
f(x) = x + 3y
f(x) = x + 3(192/x) . . . . . the function we want to minimize
We can find the x that minimizes of f(x) by setting the derivative of f(x) to zero.
... f'(x) = 1 - 576/x² = 0
... 576 = x² . . . . . . . . . . . . multiply by x², add 576
... √576 = x = 24 . . . . . . . take the square root
... y = 192/24 = 8 . . . . . . . find the value of y using the above equation for y
The first number is 24.
The second number is 8.
10 x 15 = 150 answer is 150
Interpolate is the process of predicting values for points which occur between those given on a set of bivariate data.
Answer:
(C) $111.83
Step-by-step explanation:
If Sonya buys four pairs of shoes, each on a buy one get one 50% off, that means that we can find the value if she bought ONE deal of buy one get 50% off one, then multiply that by 2 (as if you do the deal, you are paying for two.)
The shoe costs $35, and if we have a 50% discount on it:
So the cost of the shoe ON DISCOUNT is 17.50, however the first pair still stays the same.
So the cost of two pairs of shoes using the discount is
So four pairs cost
However, there is a tax of 6.5%
So we can multiply 105 by 1.065 to get the cost after tax.
This simplifies down to 111.83.
Hope this helped!