Answer:
an equation of a line
Step-by-step explanation:
This is an equation of a line. Lets walk through it.
y=1/3x+2
This is to find out what the Y coordinate would be when X is plugged in. So, if x was 6, you would take 1/3 of 6 to get 2, and add 2. The y intercept would be 4, since y=1/3(6)+2, y=2+2, y=4
Y=1/3x+2
This is what the slope is. If the slope is negative (ie. -3/4) the greater the x intercept the lower the y will be. (so if I had x=4 for a slope of -3/4, that would be y=-3/4(4)+2, y=-3+2, y=-1) But if the slope is positive (ie. 1/3) the greater the x value the greater the y value as well. (see graph attached below for positive)
Y=1/3x+2
This is the Y intercept. (This is NOT the y coordinate. This is only the coordinate of y if x=0) This number tells you where the Y intercept is. If it adds, the y intercept is positive. If it subtracts, the y intercept is negative.
Sorry if these explainations dont make sense. But, here is the graph for y=1/3x+2
Answer:

Step-by-step explanation:
Hello, I can help you with this
Step 1
define
The minimum weekly commission earned to be a STAR sales person is $9000, let's name this value as M
if Sandra receives a 12% commisions of the sale of all cars, then that 12% must be equal or higher than 9000 in order to become a STAR sales person
Step 2
using a rule of three find the 100%
if
12% ⇔ $9000
then
100% ⇔x
the ratio is

Now, solve for x

so, Sandra must sell a minimun of $75000
Now, to give a response, we need to asume a only price for every car(p).
now, in matemathical terms.
the minimun number of cars she must to sell is
minum number of cars sandra has to sell to become a STAR sales person
is 

now, price of the car* number of the car = 75000
where

Have a nice day
Answer:5x-20y=12
Step-by-step explanation:
Answer:
<u><em>(-1,1)</em></u>
Step-by-step explanation:
We can solve this by either graphing and finding ther point the lines intersect, or mathematically, I'll do both.
<u>Graphing:</u>
<u>Mathematically:</u>
−2x + 4y = 6
y = 2x + 3
See the attached graph. The lines intersect at (-1,1)
--------------------
I'll rearrange the first equation (to make it easier for me):
−2x + 4y = 6
4y = 2x + 6
y = (1/2)x + 1.5
Now lets substitute the second equation into the first so that we can eliminate y:
y = 2x + 3
[(1/2)x + 1.5] = 2x + 3
- (3/2)x = (3/2)
x = -1
If x = -1:
y = 2(-1) + 3
y = 1
The solution is x = -1 and y = 1, or (-1,1)
=================
Both approaches give us (-1,1), the solution to the system of equations. It is the only point that satisfies both equations.
Answer:
8
Step-by-step explanation:
100 = x^2 + AC^2
17^2 = AC^2 + (21 - x)^2
289 = AC^2 + 21^2 + x^2 - 2*21*x
289 =<u> AC^2</u> + 441 +<u> x^2</u> - 42x
from 1st equation AC^2 + x^2 = 100
289 = 441 + 100 - 42x
289 = 541 - 42x
42x = 541 - 289 = 252
x = 252/42 = 6
so AC^2 = 100 - 6^2 = 100 - 36 = 64
AC = 8