Slope of the line =
.
y-intercept of the line = -7.
Solution:
General form of equation of a line:
y = mx + c
where m is the slope and c is the y-intercept of the line.
Equation of a line:

To compare this with general equation.


Slope of the line =
.
y-intercept of the line = -7.
Answer:
3 years
Step-by-step explanation:
A=P( 1+rt)
A= Total amount
P= Principal
r = yearly interest
t= time in year
672=600(1+0.04t). Distribute
672=600+600x0.04t
72= 24t
t= 3 years
Answer:
e = -2
Step-by-step explanation:
Well to solve for e in the following equation,
.75(8 + e) = 2 - 1.25e
We need to distribute and use the communicative property to find <em>e</em>.
6 + .75e = 2 - 1.25e
-2 to both sides
4 + .75e = -1.25e
-.75 to both sides
4 = -2e
-2 to both sides
e = -2
<em>Thus,</em>
<em>e is -2.</em>
<em />
<em>Hope this helps :)</em>
Given:
The given sets are:
Set a : 200, 104, 100, 160.
Set b: 270, 400, 483, 300, x.
Mean of set a: mean of set b= 3:8
To find:
The value of x.
Solution:
Formula for mean:

The mean of set of a is:



The mean of set of b is:



It is given that,
Mean of set a: mean of set b= 3:8




Isolate the variable x.


Divide both sides by 3.


Therefore, the value of x is 427.
Answer: x = 6
==============================================
Explanation:
The medians of a triangle meet up at the centroid in such a way that they cut each other at a ratio of 2:1, meaning that one part of the median is twice as long as the other. In this case, MO is two times longer than OP, so,
OP = 2*MO
and
MP = MO + OP
MP = MO + 2*MO .... replace OP with 2*MO
MP = 3*MO
9x-24 = 3*(x+4) ... plug in the given expressions
9x-24 = 3x+12
9x-3x = 12+24
6x = 36
x = 36/6
x = 6