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Nady [450]
2 years ago
14

3

Mathematics
2 answers:
noname [10]2 years ago
4 0

Answer:

Step-by-step explanation:

Did you mean  (y+4)^2 = 2?  " ^ " denotes exponentiation.

Expanding (y+4)^2 = 2, we get y^2 + 8y + 16 = 2, or

y^2 + 8y + 14 = 0

Let's apply the quadratic formula.  First, find the discriminant, b^2 - 4ac:

8^2 - 4(1)(14) = 64 - 56 = 8 (which is the square of 2√2).

Because the discriminant is positive, there are two real, unequal roots (solutions).  They are:

      -8 ± √8

x = -------------- = -4 ± √2

           2

shutvik [7]2 years ago
3 0
I believe the answer is y= -3
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Directions: Using the digits 1 to 9, at most one time each, fill in the boxes to find the largest or smallest possible values fo
12345 [234]

9514 1404 393

Answer:

  smallest: 8x -3 = 4; 1y +9 = 2. total = -49/8

  largest: 1x -9 = 8; 2y +3 = 7. total = 19

Step-by-step explanation:

If we use variables to represent the box contents, we can write ...

  • ax -b = c
  • dy +e = f

Then the values of x and y are ...

  x = (c +b)/a

  y = (f -e)/d

For positive integer values of the variables, x will always be positive, and y may or may not be negative.

<h3>Smallest sum</h3>

For the sum to be the smallest, we must have x be as small as possible and the ratio (f-e)/d be as negative as possible.

x will be small for large 'a' and for (c+b) small. For y to be as negative as possible, we want 'd' and 'f' small and 'e' large. Best results are obtained for

  • 8x -3 = 4   ⇒   x = 7/8
  • 1y +9 = 2   ⇒   y = -7

For these coefficients, the sum is -6 1/8 = -49/8.

(note that the values of 'b' and 'c' can be swapped with no net effect)

<h3>Largest sum</h3>

For the sum to be the largest, we must have x as large as possible: (b+c) large and 'a' small. At the same time we must have y be positive and as large as possible: (f-e) positive and large, 'd' small. Best results are obtained for

  • 1x -9 = 8  ⇒   x = 17
  • 2y +3 = 7   ⇒   y = 2

For these coefficients, the sum is 19. Again, 'b' and 'c' can be swapped with no effect.

_____

<em>Additional comment</em>

These extreme values are verified by examination of the 60,480 possible permutations of the coefficients.

8 0
3 years ago
Read 2 more answers
8. © Assessment An old building has
Pani-rosa [81]

Answer:

51

Step-by-step explanation:

big windows 48

small windows 12

broken windnows9

unbroken windows= 48+12-9= 51

unbroken 51 windows

7 0
3 years ago
NEED HELP.
kirza4 [7]

Answer:

For instance, if the point (1, 3) is on the graph of the function, then the point (3, 1) is on the graph of the inverse. That is, if you start with x = 1, you will go to y = 3; then you plug this into the inverse, and you'll go right back to x = 1, where you started from.

5 0
3 years ago
Read 2 more answers
Please help me with this question, I'm stuck ;( .
sveticcg [70]

i think C but i dont know forsure

7 0
3 years ago
What is 9x+7y=-18 using substitution
wlad13 [49]

7y=-9x-18

that is all I can do

4 0
3 years ago
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