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goldfiish [28.3K]
3 years ago
5

I have a question that has already been answered. I just need someone to please explain the steps.

Mathematics
1 answer:
Jobisdone [24]3 years ago
8 0

Answer:

Step-by-step explanation:

Using brackets will really help.

y = (x^2 + 4x + ... ) - 5       You are trying to complete the square. The square in this case is a trinomial that is squared.

To do that, you take 1/2 the linear term (4x)/2, drop the x (4/2), and square the result (4/2)^2. The number is 2^2 which is 4.

So far what you have is

y = (x^2 + 4x + 4) - 5  

Now you just can't add 4 without adjusting it somehow. If you do, the whole question will change it's value. Because you added 4 inside the brackets, you must subtract 4 outside the brackets.

What that means is 4  inside - 4 outside. So it looks like this

y = (x^2 + 4x + 4) - 5 - 4

Now you continue on

y = (x + 2)^2 - 9  The 4 combines with the 5 to make nine.

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for the school play adult tickets cost 4$ and children tickets cost 2$ natalie is working at the ticket counter and just sold 20
lilavasa [31]
Let us formulate the independent equation that represents the problem. We let x be the cost for adult tickets and y be the cost for children tickets. All of the sales should equal to $20. Since each adult costs $4 and each child costs $2, the equation should be

4x + 2y = 20

There are two unknown but only one independent equation. We cannot solve an exact solution for this. One way to solve this is to state all the possibilities. Let's start by assigning values of x. The least value of x possible is 0. This is when no adults but only children bought the tickets.

When x=0,
4(0) + 2y = 20
y = 10

When x=1,
4(1) + 2y = 20
y = 8

When x=2,
4(2) + 2y = 20
y = 6

When x=3,
4(3) + 2y= 20
y = 4

When x = 4,
4(4) + 2y = 20
y = 2

When x = 5,
4(5) + 2y = 20
y = 0

When x = 6,
4(6) + 2y = 20
y = -2

A negative value for y is impossible. Therefore, the list of possible combination ends at x =5. To summarize, the combinations of adults and children tickets sold is tabulated below:

   Number of adult tickets             Number of children tickets
                  0                                                   10
                  1                                                    8
                  2                                                    6
                  3                                                    4
                  4                                                    2
                  5                                                    0




6 0
3 years ago
Find two consecutive positive integers such that the square of the first decreased by
dsp73

Answer:

2 is the answer

Step-by-step explanation:

hope it helps

7 0
2 years ago
If AB,BC, and AC are 7 inches, 9 inches, and 10 inches, respectively, and XY is 9 inches, find XZ
Ket [755]

Answer:

d) 12.9 in

Step-by-step explanation:

3)

ΔABC ≅ ΔXYZ

AB/AC = XY/XZ

7/10 = 9/XZ

XZ = 10 *9/7  

XZ = 12.9

Answer:

d) 12.9 in

5 0
3 years ago
!!! I NEED HELP ASAP!!! Please can you help me fill in this chart for 45-45-90 and 30-60-90 triangles I know how to do the first
Marina86 [1]

Answer:

u add 45 + 45 +90 that’s 180 and all triangles equal 180

Step-by-step explanation:

8 0
2 years ago
PLEASE HELP<br> need to know cos(F), sin(F), and tan(F) <br> WILL GIVE BRAINLIEST
SVETLANKA909090 [29]

Answer:

Cos(F) = 5/13  

Sin(F) =  12/13

Tan(F) =  12/5

Step-by-step explanation:

Soh Sine: Opposite(12) over Hypotenuse(13)

Cah Cosine: Adjacent(5) over Hypotenuse(13)

Toa  Tangent: Opposite(12) over Adjacent(5)

7 0
3 years ago
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