Multiply both sides by 3, because 3 is our denominator (bottom number in a fraction), and we want to get rid of the denominator.
3 × (v + 9) = 8 × 3
Simplify.
3v + 27 = 24
Then, subtract both sides by 27.
3v = 24 - 27
Simplify.
3v = -3
Divide both sides by 3.
v = -1
~Hope I helped!~
Answer:
V = 2304π units³
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = 
πr³ ( where r is the radius ) , then
V = π × 12³
= π × 1728
= 4π × 576
= 2304π units³
A)
SLOPE OF f(x)
To find the slope of f(x) we pick two points on the function and use the slope formula. Each point can be written (x, f(x) ) so we are given three points in the table. These are: (-1, -3) , (0,0) and (1,3). We can also refer to the points as (x,y). We call one of the points
and another
. It doesn't matter which two points we use, we will always get the same slope. I suggest we use (0,0) as one of the points since zeros are easy to work with.
Let's pick as follows:
The slope formula is:
We now substitute the values we got from the points to obtain.
The slope of f(x) = 3
SLOPE OF g(x)
The equation of a line is y=mx+b where m is the slope and b is the y intercept. Since g(x) is given in this form, the number in front of the x is the slope and the number by itself is the y-intercept.
That is, since g(x)=7x+2 the slope is 7 and the y-intercept is 2.
The slope of g(x) = 2
B)
Y-INTERCEPT OF g(x)
From the work in part a we know the y-intercept of g(x) is 2.
Y-INTERCEPT OF f(x)
The y-intercept is the y-coordinate of the point where the line crosses the y-axis. This point will always have an x-coordinate of 0 which is why we need only identify the y-coordinate. Since you are given the point (0,0) which has an x-coordinate of 0 this must be the point where the line crosses the y-axis. Since the point also has a y-coordinate of 0, it's y-intercept is 0
So the function g(x) has the greater y-intercept
Answer:
1 inch = 82 miles
Step-by-step explanation:
You can divide each of the terms of this ratio by 14 to get the ratio for 1 inch:
14 in : 1148 mi
= (14 in)/14 : (1148 mi)/14
= 1 in : 82 mi
The Northeast is a geographical region of the United States of America bounded to the North by Canada. The Northeast is one of 4 regions defined by the Census Bureau for the collection and analysis of statisitics. Hope that helped!!
