Answer:
2 / 5.
Step-by-step explanation:
The slope is the rise over the run.
In this case, the rise is 2 - (-6) = 2 + 6 = 8.
The run is 4 - (-16) = 4 + 16 = 20.
So, the slope is 8 / 20 = 4 / 10 = 2 / 5.
Hope this helps!
The graph represents a polynomial graph, and the equation of the polynomial graph is f(x) = -(x + 5)³(x - 2)²
<h3>How to determine the equation?</h3>
From the graph, we have the following observations:
- The graph has a turning point at x = 2
- The graph changes the factor of its direction at x = -5
This means that the graph has a multiplicity of 2 at x = 2 and a multiplicity of 3 at x = -5
So, we have:
f(x) = a(x + 5)³(x - 2)²
The curve is inverted,
This means that a < 0
Assume a = -1.
Then, we have:
f(x) = -(x + 5)³(x - 2)²
Hence, the equation of the polynomial graph is f(x) = -(x + 5)³(x - 2)²
Read more about polynomials at:
brainly.com/question/4142886
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X can be from -1.6 to -1.7 or x can be from -3.3 to 3.3
Answer:
The sequence is:
10, 30, 50, 70, 90.....................
Step-by-step explanation:
We have,
First term (a) = 10
Common difference (d) = ?
Sum of first 5 terms (
) = 250
or, ![\frac{n}{2} [{2a+(n-1)d}] = 250](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B2%7D%20%5B%7B2a%2B%28n-1%29d%7D%5D%20%3D%20250)
or, ![\frac{5}{2} [2*10 + 4d]=250](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20%5B2%2A10%20%2B%204d%5D%3D250)
or, ![\frac{5}{2} * 4[5+d]=250](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20%2A%204%5B5%2Bd%5D%3D250)
or, 10(5 + d) =250
or, 5 + d = 25
∴ d = 20
Now,
2nd term = a + d = 10 + 20 = 30
3rd term = a + 2d = 10 + 2*20 = 10 + 40 = 50
4th term = a + 3d = 10 + 3*20 = 10 + 60 = 70
5th term = a + 4d = 10 + 4*20 = 10 + 80 = 90
Answer: 24x2y
Hope this helps(:
