Answer: D. x=9√3; y=18
Step-by-step explanation:
This is a 30-60-90 special triangle, where we can use the rules to find the value of x and y. (For specific explanation, please look at the attachment below)
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<u>X value</u>
- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.
- Using the rules, the shortest side is x, then the second short side is x√3
- Substitute value in= x√3=(9)√3=9√3
Y value
- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.
- Using the rules, the shortest side is x, then the longest side is 2x
- Substitute value in= 2x=2(9)=18
Hope this helps!! :)
Please let me know if you have any questions
I think it’s C but I may be wrong
Isolate the x and the 2 from the top of the equation, then cancel those out from the bottom, then divide out the -1. after that you are left with -6x²+2x-4
Answer:
-0.20
Step-by-step explanation:
Given the data:
Age at auction (x) ____price sold (y)
391
51
32
84
47
104
88
43
470
51
Y:
76.9
95.4
86.3
49.3
80
57
47.8
80
70
86.9
General formula for a simple linear regression :
y = ab + c
Where ;
y = predicted variable ; a = slope / gradient
b = predictor / independent variable ; c = intercept
From the result obtained from the calculator :
y = -0.01246X + 74.65552
Correlation Coefficient is used to measure the strength of relationship between linear variables.
The regression Coefficient obtained is - 0.20
This shows that there is a weak negative correlation between the age at auction and the price at which painting is sold. This is because the negative sign means that value of y decreases as x increases or vice versa, however, due to a correlation vale which is closer to 0 than 1 or - 1, we can conclude that the negative relationship between the variables is weak.
Answer:
Child tickets are 97
Step-by-step explanation:
x + y = 175 ...............(1)
x = 175 - y
5.90x + 9.10y = 1282.10. .........(2)
5.90 (175 - y) + 9.10y = 1282.10
1032.50 - 5.9y + 9.10y = 1282.10
3.2y = 249.60
y = 249.6. / 3.2
y = 78
From equation 1
x + y = 175
x + 78 = 175
x = 175 - 78
x = 97