Answer:
Region D.
Step-by-step explanation:
Here we have two inequalities:
y ≤ 1/2x − 3
y < −2/3x + 1
First, we can see that the first inequality has a positive slope and the symbol (≤) so the values of the line itself are solutions, this line is the solid line in the graph.
And we have that:
y ≤ 1/2x − 3
y must be smaller or equal than the solid line, so here we look at the regions below the solid line, which are region D and region C.
Now let's look at the other one:
y < −2/3x + 1
y = (-2/3)*x + 1
is the dashed line in the graph.
And we have:
y < −2/3x + 1
So y is smaller than the values of the line, so we need to look at the region that is below de dashed line.
The regions below the dashed line are region A and region D.
The solution for the system:
y ≤ 1/2x − 3
y < −2/3x + 1
Is the region that is a solution for both inequalities, we can see that the only region that is a solution for both of them is region D.
Then the correct option is region D.
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 
x + 5 ← is in slope- intercept form
with slope m =
• Parallel lines have equal slopes, hence
y = x + c ← is the partial equation of the parallel line
To find c substitute (- 6, 0) into the partial equation
0 = - 2 + c ⇒ c = 0 + 2 = 2
y = x + 2 → C
Answer:
The answer is option 1.
Step-by-step explanation:
Firstly, you have to elaborate the expression :
Next you have to take out the common factors and factorize it :
Prob ( guessing right) = 0.25 . Get 1 point.
Prob( guessing wrong) = 0.75. Lose 0.5 points.
Expected value = 1(0.25) + (-0.5)(0.75)
= -0.125 answer
Answer:
1. 8/35
2. 13/35
Explanation:
You add the numbers in the parentheses first, then you multiply
1. 1/5 + 3/5 = 4/5
4/5 * 2/7 = 8/35
———————————
2. 1/5 + 3/5 * 2/7
You would multiply 3/5 and 2/7 first
1/5 + 6/35
Then you find a common denominator
1/5 = 7/35
Then you add 7/35 and 6/35
7/35 + 6/35 = 13/35
