Answer:
x=-6, y=1
Step-by-step explanation:
Let's solve your system by substitution.
y=x+7;−2x−11=y
Step: Solve y=x+7 for y:
y=x+7
Step: Substitute x+7 for y in −2x−11=y:
−2x−11=y
−2x−11=x+7
−2x−11+−x=x+7+−x(Add -x to both sides)
−3x−11=7
−3x−11+11=7+11(Add 11 to both sides)
−3x=18
−3x/
−3
=
18/
−3 (Divide both sides by -3)
x=−6
Step: Substitute−6 for x in y=x+7:
y=x+7
y=−6+7
y=1 (Simplify both sides of the equation)
Answer:
x=−6 and y=1
Step-by-step explanation:
We find the equation of the solid blue line:
The line decreases by 1 unit for every 3 units across.
=> Slope of line = -1/3.
Also the y-intercept is 1.
=> Line equation: y = -1/3 x + 1.
We see that the graph below this line is shaded.
Therefore all y-values below or on the line are represented by the graph.
=> y <= -1/3 x + 1.
The answer is y <= -1/3 x + 1.
Answer:
graph these
y = 2x + 2
y = 2x - 3
Step-by-step explanation:
2x - y = -2
2x - y = 3
convert to y intercept form
first
2x - y = -2
-y = -2x - 2
y = 2x + 2
second
2x - y = 3
-y = -2x + 3
y = 2x - 3
you are left with
y = 2x + 2
y = 2x - 3
i cannot graph these for you, but i assume you know how, there is no solution because the lines are parallel
Answer:
False
Step-by-step explanation:
In this question, you roll 3 from the standard die and then add it with the next roll to see if the sums are greater than 4.
From this explanation you can see that you use the result from your first roll for the second event, so we can conclude that the event is dependent.
Imagine if we change the result of the first roll into 5, without adding the second roll we can know that the sum will be greater than 4. The first event result will influence the second event, so it is a dependent event.
Answer:
The ratio of AC/CB=1/3
Step-by-step explanation:
We use the section formula:
We substitute the point A(-1.5,0) and B(4.5,8).
We plug in the points to get:
This is supposed to be equal to: (0,2).
We can equate, corresponding coordinates to find m and n.
This implies that:
Therefore the ratio is m:n=1:3
