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2 answers:
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Answer:
The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)
Step-by-step explanation:
We have the following expression
Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.
Now we search that values of x make 0 the denominator factoring the polynomial
We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.
These numbers are -2 and 1
Then the factors are:
We do the same with the numerator
We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.
These numbers are 3 and 1
Then the factors are:
Therefore
Note that only if
So since is not included in the domain the function has a discontinuity in
Answer:
Step-by-step explanation:
Let
x ------> the number of dogs Larry walked
y -----> the number of dogs Kyle walked
we know that
The linear equation that represent this scenario is equal to
Answer:
see the explanation
Step-by-step explanation:
we know that
A shape with two opposite angles equal to 105° could be a quadrilateral, a parallelogram, a rhombus or a trapezoid
Because
<em>A quadrilateral</em>: A quadrilateral is a four-sided polygon. The sum of the interior angles in any quadrilateral must be equal to 360 degrees
so
If the quadrilateral have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to
<em>A parallelogram</em>: A Parallelogram is a flat shape with opposite sides parallel and equal in length. Opposite angles are congruent and consecutive angles are supplementary
so
If the parallelogram have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to
<em>A rhombus</em>: A Rhombus is a flat shape with 4 equal straight sides. A rhombus looks like a diamond. All sides have equal length. Opposite sides are parallel. Opposite angles are congruent and consecutive angles are supplementary
so
If the Rhombus have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to
<em>A trapezoid</em>: A trapezoid is a 4-sided flat shape with straight sides that has a pair of opposite sides parallel
so
If the trapezoid have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to