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matrenka [14]
3 years ago
9

Which is bigger 56cm or 56,000km

Mathematics
1 answer:
Art [367]3 years ago
4 0
Answer: 56,000km

Reason:

56cm ——> 0.00056km

0.00056km is less than 56,000km

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Prove, using the second derivative, that the general quadratic y= ax^2+bx+c, is:
lozanna [386]

There are three things you have to know:

  • A function is convex when its second derivative f''(x)>0
  • A function is concave when it second derivative f''(x)
  • The derivative of a power, x^n, is nx^{n-1}

So, the first derivative is

y'=2ax+b

and the second derivative is

y''=2a

This implies that the second derivative of a parabola is constant, and of course that 2 doesn't change the sign of a.

3 0
3 years ago
Let ​f(x)=x2+10x+37​ .
Gnesinka [82]

Answer:

f(x) = (x+5)^2 +12

The minimum value is 12

Step-by-step explanation:

f(x)=x^2+10x+37

The vertex will be the minimum value since this is an upwards opening parabola

Completing the square by taking the coefficient of x and squaring it adding it and subtracting it

f(x) = x^2+10x  + (10/2) ^2 - (10/2) ^2+37

f(x) = ( x^2 +10x +25) -25+37

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Th is in vertex form y = ( x-h)^2 +k  where (h,k) is the vertex

The vertex is (-5,12)

The minimum is the y value or 12

7 0
3 years ago
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ruslelena [56]

Answer:

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4 0
3 years ago
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evablogger [386]

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5 0
3 years ago
There are 24 men, 60 women, and 44 children on a bus. Write the ratio men:women:children in simplest form?
Elenna [48]

Answer:

6:15:11

Step-by-step explanation:

We first start off with 24:60:44. We then know that the greatest common factor is 4, so we divide the ratio by 4 to get 6:15:11.

If you would like more help on math or other subjects for FREE, check out growthinyouth.org.

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4 years ago
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