The function you seek to minimize is
()=3‾√4(3)2+(13−4)2
f
(
x
)
=
3
4
(
x
3
)
2
+
(
13
−
x
4
)
2
Then
′()=3‾√18−13−8=(3‾√18+18)−138
f
′
(
x
)
=
3
x
18
−
13
−
x
8
=
(
3
18
+
1
8
)
x
−
13
8
Note that ″()>0
f
″
(
x
)
>
0
so that the critical point at ′()=0
f
′
(
x
)
=
0
will be a minimum. The critical point is at
=1179+43‾√≈7.345m
x
=
117
9
+
4
3
≈
7.345
m
So that the amount used for the square will be 13−
13
−
x
, or
13−=524+33‾√≈5.655m
The correct answer is B. Readmitting states when 10 percent of the electorate took a loyalty oath.
Explanation:
The election of Abraham Lincoln as the President of the U.S. motivated states of the South to secede from the United States and began the Civil War, which was influenced by the slavery issue. In this context, one of the purposes of Lincoln was to end slavery and re-integrate states of the South.
This was possible only at the end of the Civil War. Moreover, the plan Lincoln implement was known as the Ten percent plan and involved the 10% of the people who could vote in a state (electorate) needed to take a loyalty oath or declare complete loyalty and support to the U.S. government for the state to be admitted in the U.S. again.
Domain: (-6, 0, 3) Range: (-9, -7, 3, 5)
Step-by-step explanation:
15. If f(x) = 20x, adding a $10 fee for cleaning would be
g(x) = 20x + 10
The graph of g(x) is shifted 10 units up from the graph of f(x).
16. f(x) = 2x + 1
g(x) = (2x + 1) + 5
h(x) = 3f(2x + 1)
g(x) shifted f(x) 5 units to the right.
h(x) is 3 times steeper than f(x).
If this is the correct answer, then please give it the brainliest.
Your answer is 84 meters.
We can call the width x, and thus the length 5x, and then we can say that 5x × x = 245, which simplifies to 5x² = 245, and then we can solve:
5x² = 245
÷ 5
x² = 49
√
x = 7
Now that we know what x is, we can find the perimeter by using it as the width, and then multiplying it by 5 to find its length. This gives us:
(7 × 2) + (5 × 7 × 2) = 14 + (35 × 2) = 14 + 70 = 84
So your answer is 84 meters.
I hope this helps!
