Answer:
x= -11/4 is a maximum.
Step-by-step explanation:
Remember that a function has its critical points where the derivative equal zero. Therefore we need to compute the derivative of this function and find the points where the derivative is zero. Using the chain rule and the product rule we get that

And then we get that if
then
. So it has a critical point at
.
Now, if the second derivative evaluated at that point is less than 0 then the point is a maximum and if is greater than zero the point is a minimum.
Since
x= -11/4 is a maximum.
Answer:
120+(10+2x)=180
10+2x=60
2x=50
x=25degreeeee
Step-by-step explanation:
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1) Which ratio is equivalent to [tex] \frac{4}{16} [tex]?
[tex] \frac{4}{16} * 2 = \frac{8}{32} [tex], or
8:32.
2) Write the ratio as a unit rate [tex] ( \frac{286miles}{5 \frac{1}{2} hours} ) [tex]
Set the equation up like this:
[tex] \frac{286miles}{5 \frac{1}{2} hours} = \frac{Xmiles}{1 hour}\\
286*1=(5 \frac{1}{2})*x\\
286 = \frac{11x}{2}\\
11x= 572 [tex]
x =
52 [tex] \frac{miles}{hour} [tex]
3) Which typing time is fastest? I answered this earlier, refer to it please refer to it:
brainly.com/question/2560190
1, 3 and 4.
1. 3,6>0,9
2. 3,6<4,725
3. 3,6>1,575
4. 3,6>0,54
Number of different bases for each one:
1 1 12 --->1 1 12, 1 12, 1 ----- 2 of them
1 2 6 ---> 1 2 6, 1 6, 2, 2 6 1 --- 3 of them
1 3 4 ---> 1 3 4, 1 4 3, 3 4 1 --- 3 of them
2 2 3 ---> 2 2 3, 2 3 2 ----- 2 of them
Answer-10 different prisms