The equation yˆ=−6.2x2+51.5x+10.2 approximates the average number of cars that pass through an intersection x hours after 3: 00 p. m. what is the best estimate for the average number of cars that pass through the intersection at 6: 30 p. m.?

115 cars.

Step-by-step explanation:

We have been given an equation which approximates the average number of cars that pass through an intersection x hours after 3:00 p.m.

Since we know that there will be 3.5 hours between 3:00 pm and 6:30 pm. So to find the average number of cars that pass through the intersection at 6:30 pm we will substitute in our given equation.

Therefore, approximately 115 cars will passe through the intersection at 6:30 pm.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

soo this can be solve by using the formula:

f = p( 1 + i)^ n

where f is the future profit

p is the initial profit

i is the percent increase

n is the number of years

a . f = 30000 ( 1.05)^n

b. f = 30000 ( 1.05)^15

f = $62,368