The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown.

write the function in standard form. f(x) = 5x2 + 40x
factor a out of the first two terms. f(x) = 5(x2 + 8x)
form a perfect square trinomial. = 16
f(x) = 5(x2 + 8x + 16) – 5(16)
what is the function written in vertex form?

a. f(x) = 5(x + 4) – 80
b. f(x) = 5(x + 8) – 80
c. f(x) = 5(x + 4)2 – 80
d. f(x) = 5(x + 8)2 – 80

Cassie is traveling 675 miles today to visit her brother and his family. so far, she has stopped for gas three times. at the first stop, she put in 7.1 gallons of gas and paid $23.79. at her second stop, she put in 5.8 gallons of gas and paid $19.08. and, at the third stop, 6.6 gallons and paid $20.39. at which stop did casey pay the most for gas?

Complete the steps, which describe how to find the area of the shaded portion of the circle. find the area of the sector by multiplying the area of the circle by the ratio of the to 360. subtract the area of the triangle from the area of the sector.

Write an introductory paragraph for this corrie ten boom and her family were faced with some difficult choices after hitler came to power. some family members paid the ultimate price. write a carefully thought-out paper of at least 200 words dealing with the following concepts: --how should a christian act when evil is in power? --what do you think it would be like to live in an occupied country? remember to proofread anything you write thoroughly.