Answer:
<h3><u>x>55.25</u> is the right answer.</h3>
Primary equation: A(x)= (5y)(3X)
Secondary equation: 5y+3X=1000
y=200-(3X)/5
A(x)=3X(1000-3X)
A(x)=3000X-9X²
Now, find the derivative of A(x) to find the max... here's the work for that, or you could guess and check.
A'(x)=3000-18X
Set derivative equal to 0
0=3000-18X
166.6666666=X
Now test the intervals
(0,166.6666) (166.66666, 1000)
1st derivative is + 1st derivative is -
Plug the X value back into the secondary equation
5y+3(166.666666)=1000
5Y=500
Y=5
Answer:
X= 166.6666666666
Y=5
Please note, this is entry level calculus, and your teacher may expect you to use a different, longer route such as guess and check.
Y = kx, where k is the constant of proportionality.
We need to find k as our first step.
35 = k140
35/140 = k
1/4 = k
We can now find y when x = 70.
y = kx
y = (1/4)(70)
y = 70/4
This fraction can be simplified or reduced more.
The number 2 is the GCF of 70 and 4.
70 ÷ 2 = 35
4 ÷ 2 = 2
Answer:
y = 35/2
Answer:
The correct answer is A.
Step-by-step explanation:
You do not need to perform any operations to derive the correct answer from the choices provided. As you can see from the choices, the 3/4th power of 81 will turn out to be 27 (![\sqrt[4]{81 * 81 * 81}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81%20%2A%2081%20%2A%2081%7D%20)
). The 3/4th power of d to the power of 24 is d to the power of 18 (
).
With that being said, the most important thing to take note of is the <u><em>negative</em></u><em> </em><u><em>symbol</em></u> of the power. A negative power turns a value into its reciprocal. In this case, both the 81 and the d to the power of 24 will both go into the denominator (since the two are encompassed in a set of parentheses together) — you apply what was previously mentioned regarding what the power of 3/4 will do to 81 times d to the power of 24 — and your answer is choice A!
