The answer is -8
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Explanation:
There are two ways to get this answer
Method 1 will have us plug x = 0 into h(x) to get
h(x) = x^2 - 4
h(0) = 0^2 - 4
h(0) = 0 - 4
h(0) = -4
Then this output is plugged into g(x) to get
g(x) = 2x
g(-4) = 2*(-4)
g(-4) = -8 which is the answer
This works because (g o h)(0) is the same as g(h(0)). Note how h(0) is replaced with -4
So effectively g(h(0)) = -8 which is the same as (g o h)(0) = -8
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The second method involves a bit algebra first
Start with the outer function g(x). Then replace every x with h(x). On the right side, we will replace h(x) with x^2-4 because h(x) = x^2-4
g(x) = 2x
g(x) = 2( x )
g(h(x)) = 2( h(x) ) ... replace every x with h(x)
g(h(x)) = 2( x^2-4 ) ... replace h(x) on the right side with x^2-4
g(h(x)) = 2x^2-8
(g o h)(x) = 2x^2-8
Now plug in x = 0
(g o h)(x) = 2x^2-8
(g o h)(0) = 2(0)^2-8
(g o h)(0) = 2(0)-8
(g o h)(0) = 0-8
(g o h)(0) = -8
Regardless of which method you use, the answer is -8
The formula for finding the perimeter of a quadrilateral is Length + Length + Width + Width.
<h3>What is Perimeter?</h3>
- A perimeter is the path that surrounds a certain shape. To calculate the path that surrounds a quadrilateral, we need to get the sum of its four sides, both lengths and widths, lengths being the longest sides and the widths being the shortest.
- The formula used for calculating perimeter is Perimeter = Length + Length + Width + Width.
- For instance, to calculate the perimeter of a parallelogram with a side of 5 cm and one of 3 cm, we insert the numbers in their corresponding spot in the formula as such: Perimeter=5+5+3+3=16 cm or since parallelograms have 2 sets of 2 equal sides, we can use this formula Perimeter=(5×2)+(3×2)=10+6=16 cm.
- For a square on the other hand, we only need to know the length of one side because it has 4 equal sides.
Therefore, the formula for finding the perimeter of a quadrilateral is Length + Length + Width + Width.
Learn more about quadrilateral here:
brainly.com/question/23935806
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Answer:
Step-by-step explanation:
If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.
Therefore, if 
and 
vary inversely, their product will be the same for all values of 
and 
.
Let 
and 
as given in the problem. Substitute values:
Hence, the maintained product is 
.
Thus, we have the following equation:
Substitute 
to find the value of 
when :
Your answer for that is
D.16
Hope this helped
Answer:
No.
Step-by-step explanation:
Alternate interior angles are congruent.
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<em>More about such angles</em>
Alternate exterior angles are congruent.
Same-side interior angles are supplementary.
Same-side exterior angles are supplementary.
Linear angles are supplementary.
