Part A:
I have attached the graph of this system of inequalities.
Part B:
Plug in (8,10) into both equations
10 > 3(8) + 10
10 > 24 + 10
10 > 34
This is false!
10 < (-3/4)(8) - 1
10 < (-3)(2) - 1
10 < -6 - 1
10 < -7
This is also false!
So,
(8,10) is not included in the solution area for the system.
12) Im not sure about this one
13) c
14)a
Y = the square root of x minus 2 is portrayed in the file attached below.
As you can see, the domain (x value) begins at 2. We can use interval notation to say that the domain is [2, infinity) Infinity because it will stretch out to infinity. While the range will be [0,infinity) (message me if you don't recognize these concepts please.)
Answer:
If we are choosing students at random from all students who got a B:
Total number of non-female students who got a B: 19
Total number of students who got a B: 36
Probability: 19/36
If we are choosing students at random from all students:
Total number of non-female students who got a B: 19
Total number of students: 78
Probability: 19/78
Answer:
15, 22, 88
Step-by-step explanation:
I assume you mean the second number is 7 more than the first. Write the system of equations:
x + y + z = 125
y = x + 7
z = 4y
Substitute the third equation into the first.
x + y + 4y = 125
x + 5y = 125
Substitute the second equation.
x + 5(x + 7) = 125
6x + 35 = 125
6x = 90
x = 15
Solve for the other variables.
y = 22
z = 88
