Solve the system by graphing.
2 answers:
Answer: Option A. The solution set is (4,5)
Step-by-step explanation:
Solve the equation for<em> </em>y to obtain the form of the equation of the line.
You have:
y=-x+9 (The slope is -1 and the y-intercept is 9)
y=x+1 (The slope is 1 and the y-intercept is 1)
When you graph it you obtain the graph shown in the figure attached.
The solution is the intersection of the lines.
Then, the solution set is (4,5)
Answer:
Choice A is correct answer.
(4,5)
Step-by-step explanation:
We have given a system of equations.
x+y = 9 eq(1)
x-y = -1 eq(2)
We have to solve given system of equations by graphing.
From eq(1) ,
y = -x+9
slope = -1 and y- intercept is 9.
Frpm eq(2) ,
y = x+1
slope = 1 and y-intercept = 1
We have to draw given equation on graph.
From attachment , see the intersection point of equations.
(4,5) is intersection point which is our solution.
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Answer: 1. D) 30
2. A) 8
3. B) 4/15
4. A) 2/9
5.D) 64%
Step-by-step explanation:
1. Since, here the tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green token.
Thus, the total token = 10 blue tokens+ 8 green tokens+ 12 red tokens = 30 token
Therefore, If the first draw is a green token, Then total outcomes that will possible = 30.
2. Since, getting green is an event with 8 favorable outcomes.
Therefore, If the first draw is a green token, Then total favorable outcomes that will possible = 8.
3. The possibility of getting green in first drawn, P(G) =
P(G) =
4. Here, Number of red socks= 5
Number of white socks = 2 and Number of blue socks=3
Therefore total socks = 10
⇒ Probability of picking a pair of red socks,
P(R)=
⇒ P(R)= 2/9
5. Since, here coin is flipped 50 times and lands on heads 32 times.
Therefore, experimental probability that coin will land on heads on the next flip = (total times in which head appears/ total number of experiments) × 100 = (32/50)×100=64%