Answer:
Step-by-step explanation:
We are basically trying to find the hypotenuse of the triangle.
The distance between the x is 2, and the distance between the y is 5, which makes a length and a width.
Pythagrenum theorem: a^2+b^2=c^2
2^2 is 4, 5^2 is 25.
4+25 is 29.
The distance is .
The inequality equation represented by the parabola graph is;
y < (x - 2)(x - 8)
<h3>How to Interpret a Quadratic Graph?</h3>
We are told that the zeros of a parabola are 2 and 8. This means that the roots of the quadratic equation represented by the graph are 2 and 8. Thus, the factors of this quadratic graph can be written as;
(x - 2) and (x - 8)
Now, one rule about graphing inequalities is that If the inequality symbol is ≤ or ≥ , then the region includes the parabola, so it should be graphed with a solid line.
Otherwise, if the inequality symbol is < or > , the parabola should be drawn with a dotted line to indicate that the region does not include its boundary.
Now, since the parabola is drawn with a dashed line, it means that the inequality sign will be < or > .
Lastly, since the outside of the parabola is shaded, it means that the inequality will be less than. Thus, our inequality equation is;
y < (x - 2)(x - 8)
Read more about Quadratic Graphs at; brainly.com/question/7784687
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<h3>Answer is -9</h3>
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Work Shown:
(g°h)(x) is the same as g(h(x))
So, (g°h)(0) = g(h(0))
Effectively h(x) is the input to g(x). Let's first find h(0)
h(x) = x^2+3
h(0) = 0^2+3
h(0) = 3
So g(h(x)) becomes g(h(0)) after we replace x with 0, then it updates to g(3) when we replace h(0) with 3.
Now let's find g(3)
g(x) = -3x
g(3) = -3*3
g(3) = -9
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alternatively, you can plug h(x) algebraically into the g(x) function
g(x) = -3x
g( h(x) ) = -3*( h(x) ) ... replace all x terms with h(x)
g( h(x) ) = -3*(x^2 + 3) ... replace h(x) on right side with x^2+3
g( h(x) ) = -3x^2 - 9
Next we can plug in x = 0
g( h(0) ) = -3(0)^2 - 9
g( h(0) ) = -9
we get the same result.
Answer:
Step-by-step explanation:
+ or x you plus the indices
- or divide you minus the indices
so 3^8 x 3^4 would be 3^12
and 3^2 x 3^8 would be 3 ^10
Answer:
2/9
Step-by-step explanation:
improper fraction of that would be 9/2. Flip both numbers and you get reciprocal 2/9
