For what values of X does the graph of y=2x^5+15x^4 have a point of inflection?

The values of x are 0 and -4.5

Step-by-step explanation:

To find the inflection point, we simply find the second derivative

Mathematically, that will be calculated as follows

1st derivative

10x^4 + 60x^3

2nd derivative

40x^3 + 180x^2

Equate these values to zero

40x^3 + 180x^2 = 0

x^2(40x + 180) = 0

x^2 = 0

or 40x = -180

x = 0

or x = -180/40 = -4.5

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4