Which linear inequality is represented by the graph?
Which linear inequality is represented by the graph? - 1

Answers

Answer 1
Answer:

Linear inequality represented by the graph is

\displaystyle y\leq (1)/(3)x-4

Further explanation

Straight-line equations are mathematical equations that are described in the plane of cartesian coordinates

General formula

\large{\boxed{\bold{y-y1=m(x-x1)}}

or

y = mx + c

Where

m = straight-line gradient which is the slope of the line

x1, y1 = the Cartesian coordinate that is crossed by the line

c = constant

The formula for a gradient (m) between 2 points  

\large{\boxed{\bold{m= (y2-y1)/(x2-x1)}}

If the intersection of the x-axis (b, 0) and the y-axis (0, a) then the equation of the line:

ax + by = ab

It says inequality if there are symbol forms like <,>,≤ or ≥

  • Whereas linear inequality can have forms:  ax + by> cax + by ≥ cax + by <cax + by ≤ c

In graphical form, line inequality can be

  • dashed line because y does not include equals to
  • a solid line because y includes equal to

For line inequality (positive coefficient y)

ax + by ≥ c then the solution is shaded upwards

ax + by ≤ c then the solution is shaded down

Or we input the values ​​x, y from the point in the shaded area and put in the inequality line

From the picture we can determine the equation of the line

Line through 2 points (0, -4) and (-3, -5)

the gradient: \displaystyle =(-5+4)/(-3-0)\n\n=(1)/(3)

the equation of the line:

\displaystyle y-y1=m(x-x1)\n\ny+4=(1)/(3)(x-0)\n\n=(1)/(3)x-4

We check the point in the area of ​​shading, for example (0, -6)

we input in the equation :

\displaystyle -6=(1)/(3).0-4\n\n-6=-4

Because -6 < -4 and the graph is solid line so the inequality line will be

\displaystyle y\leq (1)/(3)x-4

Learn more

F (x) = x2 + 1 g (x) = 5 - x

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the inverse of the function f (x) = 2x-10

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domain of the function

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Keywords: linear inequality,graph

Answer 2
Answer:

In the given graph the line is having the y intercept as -4.

The slope of line = (Rise)/(Run) =(1)/(3)

The equation of the line is y=(1)/(3)x-4

The line is a dark line so inequality will be either ≤ or ≥.

Consider point (0,-5)which lie in the shaded region.

Plug x=0 and y=0 in the equation of line,

-5=(1)/(3)(0)-4=-4

-5≤ -4 .

The inequality equation for the given graph is

y≤(1)/(3)x-4


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Which is a subset of {1, 2, 4, 5, 6}?{0, 1, 2}
{3, 4}
{5, 6, 7}
{2, 6}

Answers

{2,6} is a subset of set {1, 2, 4, 5, 6} which is correct option (D).

What is a set?

A set is defined as a group of objects in mathematics. Set names and symbols begin with a capital letter. According to set theory, a set's constituent parts can be included in anything.

What is a Subset?

A subset is defined as part of a given set subset (another set or the same set). The set notation to represent a set A as a subset of set B is written as A ⊆ B.

Given set as :

{1, 2, 4, 5, 6}

There are 2⁵ = 32 subsets

(which you know because there are 5 numbers in the set).

{},{1},{2},,{ 4},{ 5},{ 6},

{1,2},{1, 4},{1, 5},{1, 6}

{2, 4},{2, 5},{2, 6},

{ 4, 5},{ 4, 6},{ 5, 6},

,{1,2, 4},{1,2, 5},{1,2, 6}

,{1, 4, 5},{1, 4, 6},{1, 5, 6}

,{2, 4, 5},{2, 4, 6},{2, 5, 6}

,{ 4, 5, 6} {1,2, 4, 5, 6},

{1, 2, 4, 5, 6}

So, {2,6}  is a subset of {1, 2, 4, 5, 6}

Thus they are both included in the set.

Hence,  {2,6}  is a subset of set {1, 2, 4, 5, 6}.

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{2,6} because they are both in the first set

Answer pls i need bring grades up

Answers

Answer:

its B

Step-by-step explanation:

Desmos can help you out a lot with this

Answer:

B) 9

Step-by-step explanation:

In the picture below

Rewrite 12/17 as a decimal number. Round to the nearest thousandth.1.416
0.705
0.706
1.417

Answers

The solution of the fraction 12/17 rounded off to its nearest thousandth is 0.706

What is a Fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the fraction be A = 12 / 17

When we divide the numerator of the fraction with the denominator , we get the number as

A = 12 / 17

A = 0.70588

Now , rounding the number to the nearest thousandth will result in rounding the thousandth digit to its nearest whole

So , A = 0.70588

Rounding to the nearest thousandth ,

since 8 > 5

A ≈ 0.706

Hence , the fraction 12/17 is rounded off to its nearest thousandth as 0.706

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Let's rewrite the given fraction 12/17 to a  decimal number. Then Let's round to the nearest thousandth.
To do that, divide the numerator by the denominator.
=> 12 / 17
=> 0.7058
Le's round this to
=>0.706

Finish the sequence
1,1,2,3,5,8,_,_,_

Answers

This is a Fibonacci sequence
1; 1
1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
3 + 5 = 8
next terms:
5 + 8= 13
8 +13 = 21
13 + 21 = 34


The Fibonacci sequence has to be thought of in these terms:

F₀, F₁, F₂, F₃, F₄, F₅, F₆, F₇, etc, etc

----------------------

Now:

F₀=0

F₁=1

The formula you use to get the other numbers is:

F_(n) = F_(n-1) + F_(n-2)

--------------

So:

F_(2) = F_(2-1) + F_(2-2) = F_(1) + F_(0) =1+0=1

And:

F_(3)= F_(3-1) + F_(3-2)  = F_(2) + F_(1) =1+1=2

------------

If you continue using the formula, you should get a sequence that starts off like this:

0, 1, 1, 2, 3, 5, 8, 1321, 34, etc, etc

Ashlee is placing a rug in the middle of her bedroom. The length of the rug is two feet more than the width.What is the area of the bedroom?

Answers

Answer:

A=16

Step-by-step explanation:

formula is 2l+2w=A

Haley's softball team has a phone tree in case a game is cancelled. The coach calls three players. THen each of those players call three players, and so on how many players will be notified during the third round of calls

Answers

Answer:

27

Step-by-step explanation:

If we follow the amount of players called,

Coach called three/3

Players called three/3

Three players called three/3

And make it into a equation, 1 x 3 = 3

Those three people call three more: 3 x 3 = 9

Those nine people call three more: 9 x 3 = 27