Linear inequality represented by the graph is
Straight-line equations are mathematical equations that are described in the plane of cartesian coordinates
General formula
or
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
If the intersection of the x-axis (b, 0) and the y-axis (0, a) then the equation of the line:
It says inequality if there are symbol forms like <,>,≤ or ≥
In graphical form, line inequality can be
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:
the equation of the line:
We check the point in the area of shading, for example (0, -6)
we input in the equation :
Because -6 < -4 and the graph is solid line so the inequality line will be
F (x) = x2 + 1 g (x) = 5 - x
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the inverse of the function f (x) = 2x-10
domain of the function
Keywords: linear inequality,graph
In the given graph the line is having the y intercept as -4.
The slope of line =
The equation of the line is
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=
-5≤ -4 .
The inequality equation for the given graph is
y≤
{3, 4}
{5, 6, 7}
{2, 6}
{2,6} is a subset of set {1, 2, 4, 5, 6} which is correct option (D).
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.
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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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
0.705
0.706
1.417
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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1,1,2,3,5,8,_,_,_
Answer:
A=16
Step-by-step explanation:
formula is 2l+2w=A
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