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dedylja [7]
3 years ago
6

Let $x_1,$ $x_2,$ $x_3,$ $x_4,$ $x_5$ be distinct positive integers such that $x_1 + x_2 + x_3 + x_4 + x_5 = 100.$ Compute the m

aximum value of the expression \begin{align*} &\frac{(x_2 x_5 + 1)(x_3 x_5 + 1)(x_4 x_5 + 1)}{(x_2 - x_1)(x_3 - x_1)(x_4 - x_1)} + \frac{(x_1 x_5 + 1)(x_3 x_5 + 1)(x_4 x_5 + 1)}{(x_1 - x_2)(x_3 - x_2)(x_4 - x_2)} \\ &\quad + \frac{(x_1 x_5 + 1)(x_2 x_5 + 1)(x_4 x_5 + 1)}{(x_1 - x_3)(x_2 - x_3)(x_4 - x_3)} + \frac{(x_1 x_5 + 1)(x_2 x_5 + 1)(x_3 x_5 + 1)}{(x_1 - x_4)(x_2 - x_4)(x_3 - x_4)}. \end{align*}
Mathematics
1 answer:
nikdorinn [45]3 years ago
4 0

Answer:I have no idea

Step-by-step explanation:

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a muffin recipe requires 1 cup of sugar and 2 tbsp of vanilla. If the recipe is being increased to 1.5 cups of sugar, which prop
Marta_Voda [28]
You will need 3 tbsp of vanilla.
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3 years ago
Find the sum 5/8 + 7/12<br> A) 1 5/24<br> B) 1/2<br> C) 12/20 <br> D) 5/24
Kay [80]
Are those your only choices?
3 0
3 years ago
Read 2 more answers
This is gonna be the death of me
kykrilka [37]
Hey!
So you have a net of the figure. It's broken into several 2D shapes. What you an do it find the area of each shape and add it together.
Triangles: 
A = (b*h)/2
A= (5 * 3) / 2
A = 15/2
same thing for the second one
15/2 * 2 = 15
Don't forget, there are 2 triangles so it's really 15 for both

Rectangles:
A=b*h
A= 7*5
A=35

A=7*5
A=35

A=3*7
A=21

35+35+21=91

Now add the sum of the area of the triangles and the sum of the area of the rectangles

91+15 = 106

106 is the surface area
Hope this helps!
5 0
3 years ago
In each box is a step in the process of solving a max/min problem like the one in Question 8. Number these steps in order (1-8)
Dmitriy789 [7]

Answer:

The steps are numbered below

Step-by-step explanation:

To solve a maximum/minimum problem, the steps are as follows.

1. Make a drawing.

2. Assign variables to quantities that change.

3. Identify and write down a formula for the quantity that is being optimized.

4. Identify the endpoints, that is, the domain of the function being optimized.

5. Identify the constraint equation.

6. Use the constraint equation to write a new formula for the quantity being optimized that is a function of one variable.

7. Find the derivative and then the critical points of the function being optimized.

8. Evaluate the y-values of the critical points and endpoints by plugging them into the function being optimized. The largest y- value is the global maximum, and the smallest y-value is the global minimum.

8 0
3 years ago
Solve each inequality. Click Submit to check your solution.
labwork [276]

Answer:

x > 10

Step-by-step explanation:

Add 3 to both sides.

7 0
3 years ago
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