The correct answer is A. 1
Answer:
f(2) = -5
Step-by-step explanation:
A point (x, y) lying on a function represents output value (y-value) of the function for any input value (x-value).
In other words y = f(x) for any input value of 'x'.
From the graph attached,
For the input value x = 2,
Output value of the function is y = -5
Therefore, f(2) = -5 will be the answer.
Surface area of box=1200 cm²
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
= the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>
<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>
by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>
<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000
v=4000</span>
If he wants to loose 30 points total, subtract what he lost already, 24, from 30. He needs to lose 6 more pounds.
Answer:
1/7
Step-by-step explanation:
The probability of picking an even number is 3/7.
Without putting the first card back, the probability of picking an even number again is 2/6.
