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Likurg_2 [28]
2 years ago
14

Am quite confused? how should I do this?​

Mathematics
1 answer:
stepladder [879]2 years ago
6 0

Answer:

32 is the answer

hope this help u

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Izzie stevens or jo Wilson
ololo11 [35]

Answer:

Step-by-step explanation:

What ever one you think is better.

6 0
3 years ago
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Find the point P on the graph of the function y=√x closest to the point (9,0)
Sphinxa [80]

Answer:

\displaystyle \frac{17}{2}.

Step-by-step explanation:

Let the x-coordinate of P be t. For P\! to be on the graph of the function y = \sqrt{x}, the y-coordinate of \! P would need to be \sqrt{t}. Therefore, the coordinate of P \! would be \left(t,\, \sqrt{t}\right).

The Euclidean Distance between \left(t,\, \sqrt{t}\right) and (9,\, 0) is:

\begin{aligned} & d\left(\left(t,\, \sqrt{t}\right),\, (9,\, 0)\right) \\ &= \sqrt{(t - 9)^2 +\left(\sqrt{t}\right)^{2}} \\ &= \sqrt{t^2 - 18\, t + 81 + t} \\ &= \sqrt{t^2 - 17 \, t + 81}\end{aligned}.

The goal is to find the a t that minimizes this distance. However, \sqrt{t^2 - 17 \, t + 81} is non-negative for all real t\!. Hence, the \! t that minimizes the square of this expression, \left(t^2 - 17 \, t + 81\right), would also minimize \sqrt{t^2 - 17 \, t + 81}\!.

Differentiate \left(t^2 - 17 \, t + 81\right) with respect to t:

\displaystyle \frac{d}{dt}\left[t^2 - 17 \, t + 81\right] = 2\, t - 17.

\displaystyle \frac{d^{2}}{dt^{2}}\left[t^2 - 17 \, t + 81\right] = 2.

Set the first derivative, (2\, t - 17), to 0 and solve for t:

2\, t - 17 = 0.

\displaystyle t = \frac{17}{2}.

Notice that the second derivative is greater than 0 for this t. Hence, \displaystyle t = \frac{17}{2} would indeed minimize \left(t^2 - 17 \, t + 81\right). This t\! value would also minimize \sqrt{t^2 - 17 \, t + 81}\!, the distance between P \left(t,\, \sqrt{t}\right) and (9,\, 0).

Therefore, the point P would be closest to (9,\, 0) when the x-coordinate of P\! is \displaystyle \frac{17}{2}.

8 0
3 years ago
At a certain college the ratio of men to women is 6 to 5. If there are 3520 total students how many men are there.
notsponge [240]

Answer:

1920 men are there in college.

Step-by-step explanation:

Given the statement: At a certain college, the ratio of men to women is 6 to 5. If there are 3520 total students.

Ratio states that it is just a comparison between, or a relating of, two different things.

i.e a to b or a: b

Ratio of men to women:

Men : Women = 6: 5

Let x be the number.

Total number of Men in college = 6x and Total number of women = 5x

Since, total number of students = 3520

⇒6x + 5x = 3520

Combine like terms;

11x = 3520

Divide by 11 on both sides we get;

x = 320

Therefore, total number of men in college = 6x = 6(320) = 1920


4 0
3 years ago
What form is this equation in y= -3(x-5)^2+7 in?
Marianna [84]

Answer:

vertex form

Step-by-step explanation:

y= -3(x-5)^2+7

This equation is written in vertex form

y = a(x-h)^2 +k

The vertex is (h,k)

8 0
4 years ago
Read 2 more answers
Which of the following choices is the variance of the sample shown here? 35 37 42 57 61 70
viktelen [127]

Answer:

205.5. should be it!


3 0
4 years ago
Read 2 more answers
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