An ordered pair such as (3,-1), is a shorthand way of writing two variables, such as x = 3 and y = -1. The order of the numbers in the pair is important: x always comes before y.
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.
It helps to locate a point on the Cartesian plane for better visual comprehension.
The numeric values in an ordered pair can be integers or fractions.
Ordered Pair = (x,y)
Where, x = abscissa, the distance measure of a point from the primary axis “x”
And, y = ordinate, the distance measure of a point from the secondary axis “y”
In the Cartesian plane, we define a two-dimensional space with two perpendicular reference lines, namely x-axis and y-axis. The point where the two lines meet at “0” is the origin.
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The function has a y-intercept at (0, 2). Then the correct options are A, B, and E.
The complete question is attached below.
<h3>What is the
maximum and minimum value of the function?</h3>
The condition for the maximum will be
f"(x) < 0
The condition for the minimum will be
f"(x) > 0
Consider the inverse function.
f⁻¹(x) = -√(x - 2)
Then the conclusion of the function f(x) = x² + 2 will be
Differentiate the function, then we have
f ' (x) = 2x
Again differentiate, then we have
f" (x) = 2
f" (x) > 0
Then the function has a minimum value at (0, 2)
The function has a y-intercept at (0, 2)
Then the correct options are A, B, and E.
More about the maximum and minimum value of the function link is given below.
brainly.com/question/13581879
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Again here we're using like terms
a) -2x² + 12x² = 10x² (they have the same term that's why I grouped them together)
-4x + 2x = -2x
13 - 25 = -12
So the final answer is 10x² - 2x -12
b) 7x² - (-7x²) = 7x² + 7x² or 14x²
4x - (-3x) = 4x + 3x or 7x
-26 - 15 = -41
The final answer to this one is 14x² + 7x - 41
Answer:
C: 2x^5
Step-by-step explanation:
Leading coefficients are the numbers written in front of the variable with the largest exponent. Just like regular coefficients, they can be positive, negative, real, or imaginary as well as whole numbers, fractions or decimals. For example, in the equation -7x^4 + 2x^3 - 11, the highest exponent is 4.
Answer:
x = 
y = 
Jacobian value = 1/7
Step-by-step explanation:
Given data:
u = 2x -y
v = 3x + 2y
solving the system for x and y in terms of u and v
x =
y =
The value of the Jacobian = 1/7 ( solution attached below )
Image under the transformation of the triangular region with vertices ( 0,0) , (2,4) and (2,-3) in the x-y plane is attached below
