The graph that represents the inequality has been shown in the attachment.
<h3>How to solve for the graph</h3>
We have these equations
y ≤ −3x + 1
y ≤ x + 3
We remove the inequality sign from both of these equations
y = −3x + 1
y = x + 3
−3x + 1 = x + 3
such that
x = -0.5
we use this value for x in any of the equations
x + 3 = -0.5 + 3
= 2.5
the point of intersection is at 2.5, -0.5
we test for the origin. 0,0
3x + 1
= 3*0 + 1
= 1
for x + 3
0+3 = 3
This is 0≤1 and 0≤3
Hence the graph should be shaded to the origin.
Read more on a graph here: brainly.com/question/14030149
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Answer:
Step-by-step explanation:
i'll do a few of them
1) one inch plus a half inch plus an eighth inch plus a sixteenth inch
1 + 1/2 + 1/8 + 1/16 read the tick marks
1 + 8/16 + 2/16 + 1/16 find a common denominators
1 and 11/16 add the sixteenth numerator
2)
3)
4) 6 inch plus an eighth inch plus a sixteenth inch
6 + 1/8 + 1/16 read the tick marks
6 + 2/16 + 1/16 find a common denominators
6 and 3/16 add the sixteenth numerator
5) nine inch plus a quarter inch plus an eighth inch
9 + 1/4 + 1/8 read the tick marks
9 + 2/8 + 1/8 find a common denominators
9 and 3/8 add the sixteenth numerator
Answer:
v= 5/6
Step-by-step explanation:
You have to divide -6 on both sides to isolate the variable V. Then it would become -5/-6. The negative signs cancel out.
Answer:
Step-by-step explanation:
t = tutoring and g = grocery store
t + g = 15......t = 15 - g
15t + 9g = 159
15(15 - g) + 9g = 159
225 - 15g + 9g = 159
-15g + 9g = 159 - 225
-6g = - 66
g = -66/-6
g = 11 <===== 11 hrs worked at the grocery store
t + g = 15
t + 11 = 15
t = 15 - 11
t = 4.....4 hrs tutoring
You need to know where the line crosses the y axis (vertical) - AKA the y intercept, and the slope of the line.
The y intercept is 5. The slope is -1/3 because every time the line goes down one square, it also goes right three squares.
Equation:
y=mx+b
where m is the slope and b is the y intercept
y = 1/3x + 5
Another way to write the same thing
y = x/3 + 5
Both correct!