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Svetradugi [14.3K]
3 years ago
14

This system has one solution. {y=5x−9y=x2−3x+7 What is the y-coordinate of the solution?

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0
The y-coordinate of the solution is 11.

Both equations have y isolated.  We will use substitution for this system:

5x-9=x²-3x+7

We want to gather all of the variables on one side, so we will subtract 5x from each side:

5x-9-5x=x²-3x+7-5x
-9=x²-8x+7

We want the equation to be equal to 0 to solve it, so we will add 9 to both sides:

-9+9=x²-8x+7+9
0=x²-8x+16

This is easy to factor; factors of 16 that sum to -8 are -4 and -4:
0=(x-4)(x-4)

Since these are the same factor, we solve it to get our answer:
x-4=0
x-4+4=0+4
x=4

Substitute this into the first, linear, equation:
y=5(4)-9=20-9=11
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murzikaleks [220]
8y-10=6y-2 

8y-10=6y-2:y  | Solve \ for \ y| 

8y=6y-2+10
 
  |Add \ 10 \ to \ both \ sides| 


8y=6y+8
 
 


8y-6y=8
 
  |Subtract \ 6y \ from \ both \ sides|

2y=8 

y=8/2   |Divide \ both  \ sides \ by \ 2|

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\star \ Hence \ solved

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What is the relationship between 21 and 22?
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4 0
3 years ago
Can u help me on this plzz
avanturin [10]
Median: 29
Range: 25
IQR: 14.5

Explanations:

**Median:**
(To find the median, we need to first order all the elements)

Ordered —> 15, 18, 18, 20, 23, 28, 30, 33, 33, 34, 38, 40

(Since there are an even number of elements, we need to add the two elements in the middle and divide by 2)

Median = (28 + 30)/2 = 58/2 = 29

**Range:**

(To find the range, you just have the subtract the smallest one from the largest)

Range = 40 - 15 = 25

**IQR:**

First half of elements —> 15, 18, 18, 20, 23, 28
Second half of elements —> 30, 33, 33, 34, 38, 40

Q1 (Quartile 1) = Median of first half = (18 + 20)/2 = 38/2 = 19
Q3 (Quartile 3) = Median of second half = (33 + 34)/2 = 67/2 = 33.5

IQR = Q3 - Q1 = 33.5 - 19 = 14.5
5 0
3 years ago
Dierdre’s work to solve a math problem is shown below.
kramer

Step-by-step explanation:

step 1

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Use the two points and the line to find the y-intercept
adelina 88 [10]

Answer:

0,4, That is the y intercept.

Step-by-step explanation:

Hope I helped :)

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