Answer:
y = -2/3x + 18
Step-by-step explanation:
to find the y intercept you should input the points 15,8
sooo
8 = -2/3(15) + b
8 = -10 + b
b = 18
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
#SPJ1
Answer:
![\boxed{ \bold{ \huge{ \boxed{ \sf{2}}}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Chuge%7B%20%5Cboxed%7B%20%5Csf%7B2%7D%7D%7D%7D%7D)
Step-by-step explanation:
Let the missing integer be x
Solve for x
![\sf{ - 3 - x = - 5}](https://tex.z-dn.net/?f=%20%5Csf%7B%20-%203%20-%20x%20%3D%20%20-%205%7D)
Move 3 to right hand side and change it's sign
![\dashrightarrow{ \sf{ - x = - 5 + 3}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B%20-%20x%20%3D%20%20-%205%20%2B%203%7D%7D)
The negative and positive integers are always subtracted but posses the sign of the bigger integer
![\dashrightarrow{ \sf{ - x = - 2}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B%20-%20x%20%3D%20%20-%202%7D%7D)
Change the signs of both sides
![\dashrightarrow{ \boxed{ \sf{x = 2}}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Cboxed%7B%20%5Csf%7Bx%20%3D%202%7D%7D%7D)
Hope I helped!
Best regards! :D