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kobusy [5.1K]
3 years ago
5

Pls help me, and do not send links. Thanks

Mathematics
1 answer:
ipn [44]3 years ago
8 0

i uploaded a vid on this here

https://www.you tube.com/watch?v=dQw4w9WgXcQ

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Among all pairs of numbers whose difference is 20, find a pair whose product is as small as possible. what is the minimum produc
Elza [17]

Answer:

-100

-10, 10

Step-by-step explanation:

Let the smaller number be x.

Then the larger number is x + 20.

The product is x(x + 20).

Now you can write the function

y = x(x + 20)

y = x^2 + 20x

Take the first derivative of y with respect to x.

y' = 2x + 20

Set the first derivative equal to zero to find the x value for the minimum value of the function.

2x + 20 = 0

2x = -20

x = -10

The minimum value of the function occurs at x = -10. -10 is one of the two numbers.

y = x^2 + 20x

For x = -10,

y = (-10)^2 + 20(-10)

y = 100 - 200

y = -100

The minimum value of the product is -100.

x = -10

x + 20 = -10 + 20 = 10

The numbers are -10 and 10.

If you have not learned derivatives yet, then plot the function

y = x^2 + 20x

Now look at the graph and find the minimum y value and the x value at which it occurs.

The minimum y value is -100. That is the minimum product you are looking for.

The x value of the minimum function value is x = -10.

Then x + 20 = -10 + 20 = 10.

The numbers are -10 and 10.

4 0
3 years ago
Barry read for 15 more minutes than Robert.
Greeley [361]
Hi!

C. v + 15

Barry read for 15 MORE minutes than Robert.
6 0
3 years ago
Write an exponential
Alla [95]

Answer:

the answer is b? if wrong tell me. we may have different forms of the answers.

Step-by-step explanation:

3 0
2 years ago
Given the following functions f(x) and g(x), solve (f ⋅ g)(3) and select the correct answer below:
Ksenya-84 [330]
I believe you may have the order incorrect. If we were looking at g(f(x)) the answer would be 47. We would get this by sticking the 3 in for x in f(x) and solving, which would give us 48. We would then stick that answer in for x in the g(x), giving us 47. 

In its current order the answer would be 28. 
6 0
3 years ago
Simplify the expression:<br> X^2 (2x + 3)
Natasha2012 [34]

Answer:

<h2>2x^3+3x^2</h2>

Step-by-step explanation:

<h3>x^2(2x+3)</h3><h3 /><h3>=(x^2)(2x+3)</h3><h3 /><h3>=(x^2)(2x)+(x^2)(3)</h3><h3 /><h3>=2x^3+3x^2</h3>
5 0
3 years ago
Read 2 more answers
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