Answer:
y < 2x + 4 is a dashed line that crosses the y - axis at (0,4) and is shaded below the line.
-3x - 2y ≥ 6 when solved for y: y ≤ -3/2x - 3
is a solid line that crosses the y-axis at (0, -3) and is shaded below the line
Problem 2:
first inequality is mentioned in problem 1
second inequality: 2x - y ≤ 4 when solved for y: y ≥ 2x - 4
is a solid line that crosses the y- axis at (0, -4) and is shaded above the line
It is parallel to the first line because they have the same slope
Step-by-step explanation:
y < 2x + 4 is a dashed line that crosses the y - axis at (0,4) and is shaded below the line.
-3x - 2y ≥ 6 when solved for y: y ≤ -3/2x - 3
is a solid line that crosses the y-axis at (0, -3) and is shaded below the line
Problem 2:
first inequality is mentioned in problem 1
second inequality: 2x - y ≤ 4 when solved for y: y ≥ 2x - 4
is a solid line that crosses the y- axis at (0, -4) and is shaded above the line
It is parallel to the first line because they have the same slope
Answer:y = 2x + 4
Explanation:
1) The slope - intercept form is of the kind y = mx + b, where m is the slope and b is the y-intercept.
2) Given two points you can find the slope (using the two points) and then the equation using one of the points.
3) slope = m = Δy / Δx
points given (3,10) , (0,4)
m = [y2 - y1] / [x2 - x1] = [10 - 4] / [3 - 0] = 6 / 3 = 2
4) equation
y - y2
-------- = m
x - x2
y - 4
---------- = 2
x - 0
=> y - 4 = 2 (x - 0)
y - 4 = 2x
y = 2x + 4
To solve this, you use the rule where AK x KC = DK x KB. In this case, 14(3+3X) = 12(4X+1). Then you solve like it's basic algebra. Your answer is then x=5. Or in this case answer choice D.
This is really easy, because 8m is 200% you have to divide it in half to figure out the 100% which is 4... now you have to find the 75%. all you have to do is divide 4 by 25% which is 3.
Answer:
Step-by-step explanation:
Let the number be x
14 ÷ x =