1. The amount will remain the same because 1/8*8/1*x=1x
2. 15*5280/3600=ft per second
The sum of the first n natural numbers and 0=
n*(n+1)/2
Rule: if you have graph of function y=f(x) and a>0, then:
1. y=f(x-a) is translation a units right;
2. y=f(x+a) is translation a units left;
3. y=f(x)-a is translation a units down;
4. y=f(x)+a is translation a units up;
Since g(x)=f(x+2)-5, then firstly you have to translate the graph of function y=f(x) two units left and secondly 5 units down.
Answer:
2157
Step-by-step explanation:
The given function is

We want to find f(c) when c=3.
This means the remainder when f(x) is divided by x-3
We perform the synthetic division:
5 10 3 8 -6 -3
<u>3| 15 75 234 726 2160</u>
5 25 78 242 720 2157
Therefore the remainder is 2157
You are right
Answer:
slope = 6
y-intercept = -5
Step-by-step explanation:
The equation is in slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept
Let's find the slope:
The slope is the number being multiplied by x.
y = mx + b
y = 6x - 5
Therefore, the slope is 6.
Let's find the y-intercept:
The y-intercept is the last number in the equation.
y = mx + b
y = 6x -5
Therefore, the y-intercept is -5.