The system of equations y=2x-1 and y=-1/4x+3 is shown on the graph below. What is a reasonable estimate for the solution?
1 answer:
Answer:
Something close to (1.8,2.6)
Step-by-step explanation:
y=2x-1
y=-1/4 x+3
Since y=2x-1 and y=-1/4 x +3 then 2x-1=-1/4 x +3.
I'm going to multiply both sides by 4 to get rid of the fraction:
8x-4=-x+12
Add x on both sides:
9x-4=12
Add 4 on both sides:
9x=16
Divide both sides by 9:
x=16/9 is approximately 1.8 when put into calculator.
Now if x=16/9 and y=2x-1, then y=2(16/9)-1=32/9-1=32/9-9/9=(32-9)/9=23/9.
y=23/9 is approximately 2.6 when put into calculator.
So we are looking for an ordered pair pretty close to (1.8,2.6).
The graph is shown to you so I will put one here as well:
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This question is incomplete.
The complete question says;
The two-way table shows the number of hours students studied and whether they studied independently or with a study group.
What is the relative frequency of students that studied independently for more than 2 hours to the total number of students that studied independently?
a) 0.4 c) 0.25
b) 0.33 d) 0.11
Table is attached as image
Answer: C (0.25)
The number of students that studied for more than 2 hours as given in the table are 4.
The total number of people that studied independently include those that studied less than 2 hours and those that studied for more than 2 hours.
Those that studied less than 2 hours independently are 12.
Those that studied more than 2 hours independently are 4.
Hence the total number of people that studied independently is 16.
Therefore the relative frequency of students that studied independently for more than 2 hours to the total number of students that studied independently would be = 4/16 = 1/4 = 0.25.
