7. A part for a machine must meet certain length requirements, in centimeters (cm), as shown in the inequality below.
16.75 – x1 <0.25
Which statement completely describes the length requirements for this machine part?
A. The length of the part must be less than 7 cm.
B. The length of the part must be greater than 6.5 cm.
C. The length of the part must be less than 6.5 cm or greater than 7 cm.
D. The length of the part must be greater than 6.5 cm and less than 7 cm.

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.