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givi [52]
2 years ago
10

can someone please help? I put random numbers for the first 2 but I need help with the last one - i’ll give brainliest

Mathematics
2 answers:
stealth61 [152]2 years ago
8 0

Answer:

(x+x)^2=4-x

Step-by-step explanation:

I think, don't be mad if I'm wrong!

Likurg_2 [28]2 years ago
6 0
It looks like you’re solving the equation by completing the square.

The approach used seems to be:
Step 1: Make the first term x^2 not 2x^2, by dividing every term by 2.

x^2 + 1/2 x - 2=0
Note here that because the computer had “+” before the second box in the first line, you needed to put “-2” instead of 2 to keep the sign correct.

Step 2: Move that -2 to the other side and then figure out what you’re going to add to the right side to complete the square. The way you do this is you take the “b” value from “bx” and divide it by 2 and square it.
Divide b by 2: 1/2 ÷ 2 = 1/2 • 1/2 = 1/4
Square that: (1/4)^2 = 1/16
So you need to add 1/16 to both sides.

The final step is to factor the left side and add the numbers on the right side.
Left side: x^2 + 1/2x + 1/16 = (x+1/4)^2.
The 1/4 can be found either by dividing the “b” by 2 or taking the square root of 1/16. Both give you 1/4.
You can always double check your work by FOILing out (x+1/4)^2 as (x+1/4)(x+1/4) and making sure you get used 1/4 correctly.

On the right side, 2 + 1/4 = 2/1 + 1/4 = 8/4 + 1/4 = 9/4
You need to find a common denominator to add them.

The above process will always work. How messy it is totally depends on the numbers involved.
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An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.
-Dominant- [34]

The largest possible volume of the given box is; 96.28 ft³

<h3>How to maximize volume of a box?</h3>

Let b be the length and the width of the base (length and width are the same since the base is square).

Let h be the height of the box.

The surface area of the box is;

S = b² + 4bh

We are given S = 100 ft². Thus;

b² + 4bh = 100

h = (100 - b²)/4b

Volume of the box in terms of b will be;

V(b) = b²h = b² * (100 - b²)/4b

V(b) = 25b - b³/4

The volume is maximum when dV/db = 0. Thus;

dV/db = 25 - 3b²/4

25 - 3b²/4 = 0

√(100/3) = b

b = 5.77 ft

Thus;

h = (100 - (√(100/3)²)/4(5.77)

h = 2.8885 ft

Thus;

Largest volume = [√(100/3)]² * 2.8885

Largest Volume = 96.28 ft³

Read more about Maximizing Volume at; brainly.com/question/1869299

#SPJ1

4 0
1 year ago
How many vertices does a triangular prism have? 4 5 6 9
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A triangular prism has 6 vertices. :)
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3 years ago
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tatyana61 [14]

Answer:

yes you did that correctly

6 0
2 years ago
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The $299.99 of a cell phone Brittany purchesd was on sail for 10% off. What amount did Brittany save?
Oksi-84 [34.3K]

Answer:

10* 299.99=2999.9

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Which expression can be used to find 15% of 20?
dezoksy [38]

Answer:

Expression:  0.15 * 20

Equation: 0.15 * 20 = 3

Step-by-step explanation:

This expression was found by dividing 15% by 100 to convert it into a decimal (0.15) that can be used to multiply with 20 to get your answer.

5 0
3 years ago
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