Which statement describes the graph of f(x) = –4x3 – 28x2 – 32x + 64? The graph crosses the x-axis at x = 4 and touches the x-axis at x = –1. The graph touches the x-axis at x = 4 and crosses the x-axis at x = –1. The graph crosses the x-axis at x = –4 and touches the x-axis at x = 1. The graph touches the x-axis at x = –4 and crosses the x-axis at x = 1.

45

step-by-step explanation:

to find a percentage, add a decimal in front and multiply it by the other number.

.25 times 180= 45

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

s

step-by-step explanation: