Answer:
List is {-2i, 2i, -4)
Step-by-step explanation:
This is a third order polynomial, so we expect three roots (solutions).
Note that we can factor this expression by grouping:
(x²)(x + 4) + (4)(x + 4) = 0, or
(x + 4)(x² + 4) = 0
The factor (x + 4) corresponds to the root/solution x = -4, and:
The other factor (x² + 4) corresponds to the roots/solutions x = 2i and x = -2i.
List is {-2i, 2i, -4)
The answer is 50 basketballWritten x - y = 30, x - 50 = 30 x = 80
Given a quadratic function
y = 4x² - 19x - 5
or i will write it as
4x² - 19x - 5 = y
Zero of the function is when y have the value of zero.
So the quadratic equation will be
4x² - 19x - 5 = y
4x² - 19x - 5 = 0
Now make the equation to intercept form by factorization
4x² - 19x - 5 = 0
(4x + 1)(x - 5) = 0 (this is intercept form)
Solution 1
4x + 1 = 0
4x = -1
x = -1/4
Solution 2
x - 5 = 0
x = 5
SUMMARY
-1/4 and 5 are zero function of f(x) = 4x² - 19x - 5
the simplified expression would be 81-52y
The basic rigid motions are A) Translation, reflections and rotations
In other words, we can shift an object, mirror it over a line, or turn it, to keep the same basic size and shape of the object. The object keeps the same area and perimeter, as well as the angles and sides staying the same as well.
A transformation that isn't a rigid motion would be a dilation. A dilation enlarges or shrinks a figure, so it doesn't keep the same size (though it keeps the same shape to make the before and after figures similar).
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A turn is also called A) rotation
A rotation needs to have information about what center point you're turning around. Often this is the origin. You'll also need the amount of rotation applied, as well as if you're going counterclockwise or clockwise.
