The base rate to rent a car is $75. then, the customer is charged $2.00 per mile for each mile driven over 200 miles. joel rented a car and drove 250 miles. if y = 2x + 75 models the function, which domain value gives joel's total rental cost?
a) x=50 b)x=100 c) x=200 d) x=250

Answer : The correct option is, (A) x = 50

Step-by-step explanation :

As we are given that the base rate to rent a car is $75 and the customer is charged $2.00 per mile for each mile driven over 200 miles. That means,

If Joel drove 'x' miles over the allowed 200 miles. So, the customer charge per mile will be, $(2x).

The given model function is:

As, the Joel drove 50 miles over the allowed 200 miles.

So, x = 50 is the domain value that will be multiplied by 2 in the equation of function.

Thus, the domain value gives Joel's total rental cost is, 50

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.