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
#SPJ1
Answer:

Step-by-step explanation:
1. Swap sides

Swap sides:

2. Isolate the y

Multiply to both sides by 18:

Group like terms:

Simplify the fraction:

Multiply the fractions:

Simplify the arithmetic:

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Why learn this:
- Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?
- Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.
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Terms and topics
- Linear equations with one unknown
The main application of linear equations is solving problems in which an unknown variable, usually (but not always) x, is dependent on a known constant.
We solve linear equations by isolating the unknown variable on one side of the equation and simplifying the rest of the equation. When simplifying, anything that is done to one side of the equation must also be done to the other.
An equation of:

in which
and
are the constants and
is the unknown variable, is a typical linear equation with one unknown. To solve for
in this example, we would first isolate it by subtracting
from both sides of the equation. We would then divide both sides of the equation by
resulting in an answer of:

Answer:
Radius = 6.5cm
Diameter = 13cm
Step-by-step explanation:
The diameter is the length of one side of a circle to the other. It's already given in the diagram as 13cm.
The radius is half of the diameter. 13 divided by 2 is 6.5cm.
Answer:

☯
☥ Which pair of expressions represents the area of the rectangle?
☐ 2(x + 1) + 2 (4) and 2x +9
☐ 2(x + 1) +2 (4) and 2x + 10
☐ 4(x + 1) and 4x + 1
☑ 4(x + 1) and 4x + 4
☪ 
- Length of a rectangle ( L ) = 4
- Breadth of a rectangle ( B ) = x + 1
☪ 
- Pair of expressions which represents the area of the given rectangle
☪ 
❀ 
↦ 
↦ 
Also , In 4 ( x + 1 ) , if we distribute 4 through the parentheses , it would be 4*x + 4*1 =
.
Hence , the right answer is of last option { i.e 4 ( x + 1 ) and 4x + 4 } .
And we're done !
Hope I helped!!
♡ Have a wonderful day / night ツ
~
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