Answer:
C. (-1, 3)
Step-by-step explanation:
Label the 2 equations:
5y= 7x +22 -----(1)
x= -6y +17 -----(2)
Substitute (2) into (1):
5y= 7(-6y +17) +22
5y= -42y +119 +22 <em>(</em><em>Expand</em><em> </em><em>bracket</em><em>)</em>
5y= -42y +141 <em>(</em><em>Simplify</em><em>)</em>
42y +5y= 141 <em>(</em><em>+</em><em>42y</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
47y= 141
y= 141 ÷47 <em>(</em><em>÷</em><em>4</em><em>7</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
y= 3
Substitute y= 3 into (2):
x= -6(3) +17
x= -18 +17
x= -1
Thus, the solution is (-1, 3).
Answer:
no they are not
Step-by-step explanation:
the answer is yes i did this before so hope that helps
Answer:
B) 36 girls will choose the zoo
Step-by-step explanation:
The data from sample gathered is
Boys Girls
Zoo 15 8
Museum 10 12
Total 25 20
The question asks about what will the data for 90 girls and 78 boys will look like. We can use the data as proportion and make the expected value for the new data. There are 90 girls in the question and the sample is 20 girls, so it's 90/20= 4.5 times larger than the sample. The expected data will be:
Girls
Zoo 8 x 4.5 = 36
Museum 12 x 4.5 = 54
Total 20x 4.5 = 90
The number of boys is 78 while the sample is 25, the data will be
Boys
Zoo 15 x 78/25 = 46.8
Museum 10 x 78/25 = 31.2
Total 25x 78/25 = 78
The answer will be 36 girls will choose the zoo
Given:
.
Exponential regression model is
To find:
The exponential regression representing the population of Lazy Town as a function of time in years.
Solution:
Exponential regression model is
...(i)
We have, 
.
Substituting 
and 
in (i), we get.
Therefore, the exponential regression representing the population of Lazy Town as a function of time in years, is .
