Answer:
Option (a) is correct.
Step-by-step explanation:
Given : equation 2x + 3y ≤ 6
We have to choose out of given option the graph that shows the graph of the solution set of 2x + 3y ≤ 6
Consider the given equation 2x + 3y ≤ 6
We first find the points where the equation cut x- axis and y-axis.
Thus,
For x - axis put y = 0 ,
We get 2x + 3(0) ≤ 6 ⇒ 2x ≤ 6 ⇒ x ≤ 3
Thus, point (3,0)
For y - axis put x = 0 ,
We get 2(0) + 3y ≤ 6 ⇒ 3y ≤ 6 ⇒ y ≤ 2
Thus, point (0,2)
For region we choose a test point and find the value of x and y on that test point and check whether it satisfy the inequality satisfies or not.
Consider the point (0, 0) , then inequality becomes,
2(0) + 3(0) ≤ 6 ⇒ 0 ≤ 6 (true)
Hence, region below the line will be considered.
Thus, Option (a) is correct.
Answer:
Step-by-step explanation:
The equation for a circle in standard form is , where h and k are the coordinates of the center. Our center has an h value of -2 and a k value of -3 with an r value of 3. Fitting those values into our standard form of a circle we have . Subtracting a negative is the same as adding, and squaring the right side gives us 9, so the equation is . Third choice from the top.
Answer:
26
Step-by-step explanation:
The absolute value of a number is how far away the number is from zero. The absolute value is ALWAYS positive.
Answer:
82.6%
Step-by-step explanation:
Conditional probability is defined as:
P(A|B) = P(A∩B) / P(B)
where P(A|B) is the probability of A on the condition of B, P(A∩B) is the probability of both A and B, and P(B) is the probability of B.
Here, we want P(P|K), so:
P(P|K) = P(P∩K) / P(K)
P(P|K) = 0.019 / 0.023
P(P|K) = 0.826
82.6% of the members in the key club are also enrolled in AP Physics.
Answer:
485
Step-by-step explanation:
