Answer:
A) 5x-6y=3
B) 7y=2x+8
B) -2x + 7y = 8 then multiplying "B" by 2.5
B) -5x +17.5y = 20 then adding this to A
A) 5x -6y = 3
11.5y = 23
y = 2
x = 3
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Brackets always mean "DO THIS FIRST!!!"
2+6 = 8
Then, do 3 x 8. That is 24.
24 divided by 4 is 6.
6 - 2 is 4!
Hello!
The graph y < -2/3x + 2 has a dotted line. That means that any points on the dotted line or not shaded, is not a solution to this inequality. Since we are given 4 choices, we can substitute those values into the given inequality to see if it is true.
A) (0, 2)
2 < -2/3(0) + 2
2 < 2, this is false.
B) (3, 0)
0 < -2/3(3) + 2
0 < -2 + 2
0 < 0, this is false.
C) (0, 0)
0 < -2/3(0) + 2
0 < 2, this is true.
D). (0, 3)
3 < -2/3(0) + 2
3 < 2, this is false.
To check if choice C) (0, 0) is true, we should look at the given graph.
Since (0, 0) is in the shaded area, and is not graphed on the dotted line, therefore, a solution to this linear inequality is C, (0, 0).
G(x)=2x+3
x <span>≥ 1
g(x)=5
x is bigger then 1
</span>
Answer:
D) Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 5, r = 2, p = 1/6.
Step-by-step explanation:
The Number of boxes = 6
Box containing a prize = 1
Probability of success, p = box containing a price / number of boxes = 1 /6
Number of trials = 5
Probability of success on exactly 2 trials, r = 2
Hence,
P(r = 2) = nCr * p^r * (1-p)^(n-r)
n = 5 ; r = 2 ; p = 1/6
Using a binomial probability calculator :
P(r = 2) = 0.1608
