Which graph shows the solution to the system of linear inequalities? y ≥ 2x + 1 y ≤ 2x – 2
1 answer:
Answer:
Step-by-step explanation:
Consider the two inequalities:
To plot them, let's first write their corresponding equations:
Next, we need to identify at least two points for each equation to create the graph.
For Equation :
By setting x = 0, we find y = 1
If we set y = 0, then x = .
The two points identified are (0, 1) and (, 0).
For Equation :
By putting x = 0, we arrive at y = -2
Setting y = 0 leads us to find x = 1.
The two points we got here are (0, -2) and (1, 0).
Now we can proceed to plot these points.
Let's try point (1, 4) to check if it satisfies the first inequality.
Which is verified as true.
Thus, the shaded area would extend towards point (1,4).
Now, let's see if point (1, 4) holds for the second inequality.
This indicates that the shaded area would be opposite to point (1,4).
<pplease refer="" to="" the="" attached="" graph="" for="" further="" clarity.="">There is no solution available for this system since a common shaded area does not exist..
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Answer:
The upper bound of the confidence interval is 3127 $/day.
Step-by-step explanation:
With the new sample, we can determine the one-sided 95% confidence interval.
For this interval (one sided, with 95% confidence), z=1.64.
The total number of observations (n) is 45 days.
The average is 2984 and the standard deviation is 585.
We can estimate the upper limit of the confidence interval as
∠ROT=160°
∠SOT=100°
Now we calculate ∠SOR as follows: ∠SOR = ∠ROT - ∠SOT
∠SOR = 160° - 100°
∠SOR = 60°
It is stated that the angles ROQ, QOS, and POT all have the same measure.
Thus, ∠SOQ + ∠QOR = 60°
Since ∠SOQ equals ∠QOR, we can express this as:
2∠SOQ = 60°
From which we find ∠SOQ = 60° ÷ 2
∠SOQ = 30°
Also, ∠POT = ∠SOQ = ∠ROQ = 30°
To ascertain the cofactor of
First, eliminate the relevant row and column linked to the specified entries and calculate the determinant of the leftover matrix while applying alternating signs.
Therefore, the entries arranged in increasing order of their cofactors values are;