Answer:
270 seconds
Step-by-step explanation:
Melissa's time = x seconds
Abby's time = (x + 30) seconds
Abby walks at a speed of 8 feet per second, and Melissa walks at a speed of 9 feet per seconds.
But, speed =
For Abby,
8 =
distance = 8(x + 30) ................. 1
for Melissa,
9 =
distance = 9x ............. 2
From equations 1 and 2, for the same distance;
8(x + 30) = 9x
8x + 240 = 9x
x = 240 seconds
Abby's time = (x + 30)
= (240 + 30)
= 270 seconds
So that Abby has been walking for 270 seconds when both students had walked exactly the same distance.
Answer:
x = -1, 3, and 7
Step-by-step explanation:
Using grouping:
f(x) = x³ − 9x² + 11x + 21
f(x) = x³ − 9x² + 18x − 7x + 21
f(x) = x (x² − 9x + 18) − 7 (x − 3)
f(x) = x (x − 6) (x − 3) − 7 (x − 3)
f(x) = (x² − 6x) (x − 3) − 7 (x − 3)
f(x) = (x² − 6x − 7) (x − 3)
f(x) = (x + 1) (x − 7) (x − 3)
To use long division, see the picture.
The zeros are x = -1, 3, and 7.
The relation t is one-to-one, so it is a function and so is its inverse
Slope intercept from is y=mx+b so y= a -xor a -1x + 2
.
so y is y.
your -1 one x is saying you will rise and run down or to the left. on a graph.
the +2 means you will move up or to the right by 2 units