Which represents the solution set of 5 (x 5) less-than 85.
1 answer:
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Answer:
The answer to your question is (1, -2)
Step-by-step explanation:
See the graph below, in the graph, the solution is circled (1, -2). The solution is the point where the lines cross.
To check the answer, let's solve the system using algebra.
y = 2x - 4
y = 1 - 3x
2x - 4 = 1 - 3x
2x + 3x = 1 + 4
5x = 5
x = 5/5
x = 1
Find y by substitution
y = 2(1) - 4
y = 2 - 4
y = -2
Solution
(1, -2)
Answer:
Step-by-step explanation:
A
(2x - 5)(x + 1)
B)
The x intrcepts occur when the factors equal zero.
2x - 5 = 0
2x = 5
x = 5/2
x = 2 1/2
C
I will give the the minimum from completing the square
y = 2(x - 0.75)^2 - 6.125
as x approaches + infinity, y approaches + infinity.
as x approaches - infinity, y approaches + infinity.
It's a quadratic. The y values go to plus infinity, when x goes from - infinity to + infinity.
D
Desmos is the most useful tool for this part of the question. What it shows is the two roots and the minimum at (0.75,-6.125. A parabola does what the end behavior describes. The roots are clearly labeled as is the minimum.
Lines AB and CD are parallel. Using the given coordinates
The equation of line CD is
Given :
Lines AB and CD are parallel. The coordinates of point A are (-2,5), the coordinates of point B are (6,3),the coordinates of point D are (8,5)
When two lines are parallel then their slopes are equal
Lets find the slope of AB using the given points
A is (-2,5) and B is (6,3)
Find slope using slope formula
Slope of AB is
Slope of AB and CD are same
Slope of CD is
Now we find equation of line CD y=mx+b
Use point slope formula
use the given point D(8,5) and slope m
Substitute the values
The equation of line CD is
Learn more : brainly.com/question/17301100