If the point (2,-3), then it must satisfy both inequalities.
Let's replace it with the first one
As you can observe, the test point satisfies the first inequality.
Let's evaluate the second one
The test point doesn't satisfy the second inequality.
<h2>Hence, the test point is not a solution to the given system because it doesn't satisfy both inequalities.</h2>
Answer:
7 3/4
Step-by-step explanation:
6 1/2 +1 1/4=7 3/4
To find any number in a sequence given the distance between each number, just add the distance to the last number in the sequence
Answer: yes
Step-by-step explanation: In this problem, we are asked to determine if the relation shown here is a function. The easiest way to determine if a relation is a function is by looking at the x-coordinates. Notice that none of the coordinates repeat so this relation is a function.
Let x = the larger number
Let y = the smaller number
x + y = 93
x - y = 19 Add the two equations together.
2x = 112 Divide both sides of the equation by 2.
x = 56
56 + y = 93 Subtract 56 from both sides of the equations.
y = 37
Answer:
2x - 7y = -34.
Step-by-step explanation:
As the line we want is perpendicular to y= -7/2 x + 9 it's slope will be
-1 /(-7/2) = 2/7.
Now we find the point of intersection ofn the 2 given lines:
x + y = 10
3x - 4y = -12
Multiply the first equation by -3:
-3x - 3y = -30
Now add this last equation to the second one:
-7y = -42
y = 6
Plug y = 6 into the first equation:
x + 6 = 10
x = 4.
So the point of intersection is (4, 6) and the equation we want passes through this, so using the point-slope form of straight line we have:
y - 6 = 2/7(x - 4)
7y - 42 = 2(x - 4)
7y - 42 = 2x - 8
2x - 7y = -42 + 8
2x - 7y = -34
