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erma4kov [3.2K]
4 years ago
5

How to rewrite the function 2x^2-7x+5 by completing the square

Mathematics
1 answer:
larisa [96]4 years ago
4 0
First you find two numbers that when you multiply they'll equal 5 then when you add or subtract, they'll equal -7


(x-1)(2x-5)
You might be interested in
Evaluate -Z + 7.49 for Z = -7.1
luda_lava [24]
14.59

To solve, simply plug -7.1 into -Z. Since Z is negative in the equation, it will turn the Z that’s given to us into a negative. Since that Z is already negative, it will now become a positive since that’s what two negatives being multiplied make. This is what your problem will look like:

-(-7.1) + 7.49
7.1 + 7.49 = 14.59
3 0
3 years ago
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is
Volgvan

Answer:

(x,y)=(0,7.333)

Step-by-step explanation:

We are required to:

Maximize p = x + 2y subject to

  • x + 3y ≤ 22
  • 2x + y ≤ 14
  • x ≥ 0, y ≥ 0.

The graph of the lines are plotted and attached below.

From the graph, the vertices of the feasible region are:

  • (0,7.333)
  • (4,6)
  • (0,0)
  • (7,0)

At (0,7.333), p=0+2(7.333)=14.666

At (4,6), p=4+2(6)=4+12=16

At (0,0), p=0

At (7,0), p=7+2(0)=7

Since 14.666 is the highest, the maximum point of the feasible region is (0,7.333).

At x=0 and y=7.333, the function p is maximized.

7 0
3 years ago
The median of data is 43.5 and the range is 35 what’s the missing value explain.
Ratling [72]
The minimum and maximum of the set alone is 25 and 60. The range of that 35. So, the number is not less than or more than 25 or 60.
The set in order:
25, 36, 48, 52, 60
The median is 48, so the number has to be less than 48. Let's see if the number may be less than 36.
36+48
84
42
So, the number is right between 36 and 48. 
43.5×2
87
Let's subtract 48 from that
87-48
39
So, the mssing value is 39. Let's check.
25, 36, 39, 48, 52, 60
48+39
87÷2
43.5
So the missing value is 39.
6 0
3 years ago
A clear box has the shape of a rectangular prism and is filled with sand. Find the volume if the box
Strike441 [17]

Answer:

24 m³

Step-by-step explanation:

Since you didn't state the dimensions of the rectangular prism, and you didn't add a picture to show it's dimensions, then permit me to assume dimensions for the question

Assuming it's breadth is 2 m.

Assuming it's length is 4 m.

Assuming it's height is 3 m

Then the volume of a rectangular prism is given as l * b * h. Which means we multiply all the sides by one another. From my assumption of values, we have that 2 * 3 * 4, and this gives us 24 m³

24 m

Now what you'd do is substitute your values for my assumed values.. Cheers

6 0
3 years ago
letters cost $1 each to send in the mail and packages cost $5 each the equation x + 5y = 25 describes how many letters and packa
Vlada [557]

Answer:

y is the packages in the equation

4 0
3 years ago
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