Which of the following systems of inequalities has point d as a solution?

f(x) ≤ 3x + 4
g of x is less than or equal to negative one half times x minus 5
f(x) ≥ 3x + 4
g of x is less than or equal to negative one half times x minus 5
f(x) ≤ 3x + 4
g of x is greater than or equal to negative one half times x minus 5
f(x) ≥ 3x + 4
g of x is greater than or equal to negative one half times x minus 5

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.

h is the x-coordinate of the vertex

step-by-step explanation:

we have

in this function

the point represent the vertex of the function

so

h is the x-coordinate of the vertex

k is the y-coordinate of the vertex

question

given the diagram below, what is md?

the sum of the interior angles is 360°

take away from 360 the sum of the knows angles and you will have the angle d.

360 - 108 - 108 - 72 = 72°