Answer:
6
Step-by-step explanation:
(g × f)(x) = g(x) × f(x) = x²(- x + 5)
To evaluate (g × f)(- 1) substitute x = - 1 into the product
x²(- x + 5)
= (- 1)²(- (- 1) + 5)
= 1(1 + 5)
= 1 × 6 = 6
Answer:
53.2mph
Step-by-step explanation:
The average rate of travel is total distance traveled over total time.
![Average\:Rate=\frac{Distance}{Time}](https://tex.z-dn.net/?f=Average%5C%3ARate%3D%5Cfrac%7BDistance%7D%7BTime%7D)
Total distance is 239.4 miles
Total time is 1:40pm-9:10am=13hrs:40mins-9hrs:10mins=4hrs:30mins or 4.5hrs
![Average\:Rate=\frac{239.4}{4.5}mph=53.2mph](https://tex.z-dn.net/?f=Average%5C%3ARate%3D%5Cfrac%7B239.4%7D%7B4.5%7Dmph%3D53.2mph)
19,810 rounded to the nearest hundred is 19,800.
8 is in the hundreds place, and the number 1 is in front of it.
Numbers 1-4 in front of the number make the number stay the same.
Numbers 5-9 in front of the number make the numbers round up one number.
![\text{Consider the sum of the finite arithmatic series}\\ \\ 7.6+6.3+5+3.7+2.4+1.1+(-0.2)+(-1.5)\\ \\ \text{We know that the sum of the finite arithmatic series }\\ \\ a_1,a_2, a_3, ..., a_n \text{ is given by the formula}\\ \\ S_n=\frac{n}{2}\left ( a_1+a_n \right )\\ \\ \text{here in the given series, we can see that }a_1=7.6, \ a_n=-1.5 \text{ and}\\ \text{the number of terms is, }n=8. \text{ so using above formula, we get}](https://tex.z-dn.net/?f=%5Ctext%7BConsider%20the%20sum%20of%20the%20finite%20arithmatic%20series%7D%5C%5C%0A%5C%5C%0A7.6%2B6.3%2B5%2B3.7%2B2.4%2B1.1%2B%28-0.2%29%2B%28-1.5%29%5C%5C%0A%5C%5C%0A%5Ctext%7BWe%20know%20that%20the%20sum%20of%20the%20finite%20arithmatic%20series%20%7D%5C%5C%0A%5C%5C%0Aa_1%2Ca_2%2C%20a_3%2C%20...%2C%20a_n%20%5Ctext%7B%20is%20given%20by%20the%20formula%7D%5C%5C%0A%5C%5C%0AS_n%3D%5Cfrac%7Bn%7D%7B2%7D%5Cleft%20%28%20a_1%2Ba_n%20%5Cright%20%29%5C%5C%0A%5C%5C%0A%5Ctext%7Bhere%20in%20the%20given%20series%2C%20we%20can%20see%20that%20%7Da_1%3D7.6%2C%20%5C%20a_n%3D-1.5%20%5Ctext%7B%20and%7D%5C%5C%0A%5Ctext%7Bthe%20number%20of%20terms%20is%2C%20%7Dn%3D8.%20%5Ctext%7B%20so%20using%20above%20formula%2C%20we%20get%7D)
![S_8=\frac{8}{2}\left ( 7.6+(-1.5) \right )\\ \\ =4\left ( 7.6-1.5 \right )\\ \\ =4\left ( 6.1 \right )\\ \\ =24.4](https://tex.z-dn.net/?f=S_8%3D%5Cfrac%7B8%7D%7B2%7D%5Cleft%20%28%207.6%2B%28-1.5%29%20%5Cright%20%29%5C%5C%0A%5C%5C%0A%3D4%5Cleft%20%28%207.6-1.5%20%5Cright%20%29%5C%5C%0A%5C%5C%0A%3D4%5Cleft%20%28%206.1%20%5Cright%20%29%5C%5C%0A%5C%5C%0A%3D24.4)
Hence the sum of the finite Arithmetic series is: 24.4
Answer:
13/16
Step-by-step explanation: