Graph the solution to the following linear inequality in the coordinate plane.
a company is selecting students for interviews at the career fair. the number of students selected from university a is given by f(x) = 4x + 5, where x represents the number of days of the fair. the number of students selected from university b is given by g(x) = 2x + 8.

which function best describes the total number of students selected at the career fair?

a.
h(x) = 6x + 13
b.
h(x) = (4x + 5)(2x + 8)
c.
h(x) = 2x - 3
d.
h(x) = -2x + 3

Step-by-step explanation:

The total number of students selected from both universities can be found as:

Where:

represents the number of students selected from university A represents the number of students selected from university B represents the number of days of the fair.

So:

grouping terms:

The graph of the function is shown below and you can realize that the solution is a linear equation.

The answer would be c

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.