Answer:
5(2x - 1)
Step-by-step explanation:
Given
2(x - 6) + 4(2x + 1) + 3 ← distribute both parenthesis
= 2x - 12 + 8x + 4 + 3 ← collect like terms
= (2x + 8x) + (- 12 + 4 + 3)
= 10x + (- 5)
= 10x - 5 ← factor out 5 from each term
= 5(2x - 1) ← in factored form
If your looking how to plot this on a graph idk but I know its something like 15.00x>200
0.15y<200
I think... I'm not sure... but it would make sense lol :)
Answer:
The Answer is that Senior Citizen Tickets cost: $4 and Child tickets cost: $7.
Step-by-step explanation:
Let s = the cost of senior citizen tickets
Let c = the cost of child tickets
The number of tickets sold for each type added together equals the sales for each day. Equations below:
Day 1
3s + 9c = $75
Solve for s:
3s = 75 - 9c
s = 25 - 3c
Day 2
8s + 5c = $67
By substitution:
8(25 - 3c) + 5c = 67
200 - 24c + 5c = 67
-19c = -133
c = -133 / -19 = $7 cost for child tickets.
Solve for s:
s = 25 - 3c
s = 25 - 3(7)
s = 25 - 21 = $4 cost for senior citizen tickets.
Proofs:
Day 1
3s + 9c = $75
3(4) + 9(7) = 75
12 + 63 = 75
75 = 75
Day 2
8s + 5c = $67
8(4) + 5(7) = 67
32 + 35 = 67
67 = 67
Answer:
Reject Null Hypothesis given that P-value < ∝
Step-by-step explanation:
Applying the Five ( 5 ) step model and assuming ∝ = 0.05
First step : determine the Null hypothesis
H0 : Age and support for Anti-smoking = independent
Second step : Determine the alternate hypothesis
Ha : Age and support for Anti-smoking ≠ independent
Thirdly : Identify significance level ( ∝ ) = 0.05
4th step : Calculate the Test statistic and P-value
Chi-squared test = 36.1429 using excel function
P-value = 1 - CHISQ.DIST(36.1429, 1, TRUE) < 0.0001
finally : we can conclude that Age and support for Anti -smoking are not Independent hence we Reject The Null hypothesis. Given that
P-value < ∝
Answer: It would be Point B
Step-by-step explanation:
