Create the quadratic function that contains the points (0-2), (1, 0) and (3, 10). Show all of your work for full credit.
1 answer:
Answer:
My graphing calculator tells me the function is
.. f(x) = x^2 +x -2
_____
Since we recognize the y-intercept as being (0, -2), we only need to find the coefficients of x and x^2.
If you want to do this by hand, you can use
.. y = ax^2 +bx -2
to write 2 equations in a and b for the (x, y) values (1, 0) and (3, 10).
.. 0 = a +b -2
.. 10 = 9a +3b -2
To solve by substitution, you can let a = 2-b, and you have
.. 10 = 9(2 -b) +3b -2
.. 6b = 6 . . . . . . . . . . . add 6b-10
.. b = 1
.. a = 2 -1 = 1
Step-by-step explanation:
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Answer:
-66+12 or -54
Step-by-step explanation:
To remove the parenthesis multiply the number outside of the parenthesis (in this case -6) to the numbers inside of the parenthesis (11, and -2).
A negative multiplied by a positive is a negative.
A negative multiplied by a negative is a positive.
Answer:
The measure of angle YUV is equal to
Step-by-step explanation:
see the attached figure to better understand the problem
we have that
-----> given problem
so
------> by central angle
we know that
The triangle UZV is an isosceles triangle
because
so
-----> bases angle of the isosceles triangle
Remember that
The sum of the internal angles of a triangle is equal to
so
substitute and solve for m<ZUV
------> by complementary angles
solve for m<YUZ
