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Answer:
a. Domain: {-5} Range: [-5, 5]
b. Domain: (-∞, ∞) Range: (-∞, ∞)
c. Domain: [-1, 2] Range: [-5, 5]
d. Domain: [-4, 4] Range: [-4, 4]
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
Range is the set of y-values that can be outputted by function f(x).
Answer:
Coordinate geometry is one of the most important and exciting ideas of mathematics. In particular it is central to the mathematics students meet at school. It provides a connection between algebra and geometry through graphs of lines and curves. This enables geometric problems to be solved algebraically and provides geometric insights into algebra.
The invention of calculus was an extremely important development in mathematics that enabled mathematicians and physicists to model the real world in ways that was previously impossible. It brought together nearly all of algebra and geometry using the coordinate plane. The invention of calculus depended on the development of coordinate geometry.
Step-by-step explanation:
2xy4 + 4x2y3 – 6x3y2 – 7x4
8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4
–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5
Answer:
Step-by-step explanation:
Since, the highest degree in a polynomial is called the degree of the polynomial,
While, the degree of each term in a polynomial with two variables is the sum of the exponents in each term.
In ,
Sum of exponents are 5, 6, 6, 5,
So, degree of the polynomial is 6.
In ,
Sum of exponents are 5, 5, 5, 4,
So, degree of the polynomial is 5.
In ,
Sum of exponents are 6, 5, 4, 4, 4, 4
So, degree of the polynomial is 6.
In ,
Sum of exponents are 6, 5, 5, 5, 5
So, degree of the polynomial is 6.
Lesson plays Measuring segments and angles
2 Serce
Grand
Try it
Door
5. Refer to the figure shown. Can the lighting
designer replace the 22 spotlight with one that
has a 33 beam angle, that can rotate 25 to the
left and right to light all of the objects on the
stage?
57
Spotlight
GECES
Google Chrome
Answer:yes
Step-by-step explanation:
Because x =24 and y=17 are both less than 25
Reason
The template is very close to the vertex form where the vertex is (h,k). The vertex represents either the highest point or the lowest point on the parabola (depending if the parabola opens downward or upward).
In this case h = 9 and k = -2. Also, c = 1.
So we go from to which can be rewritten as
Compare that with and you'll find that a = -9 and b = -2