So all of the internal angles of a triangle will add up to 180 degrees. So if we add all of the expressions given and set them equal to 180, we can solve for x, then solve for each angle...
(2x + 1) + (3x - 3) + 9x = 180
2x + 3x + 9x + 1 - 3 = 180
14x - 2 = 180
14x = 182
x = 13
Now we can substitute 13 into each expression to find the value of each angle...
2x + 1 =
2(13) + 1 =
26 + 1 = 27 degrees
3x - 3 =
3(13) - 3 =
39 - 3 = 36 degrees
9x =
9(13) = 117 degrees
So the 3 angles are 27 degrees, 36 degrees, and 117 degrees.
The smallest is 27 degrees
** Note-- I don't see 27 degrees in the answer choices you gave, so I double checked my math (I didn't find any mistakes). Please check to see that the question is written correctly (pay close attention to plus and minus signs).
The cost of cable (c) in terms of months (m) is
c = (49.99 +9.95 +9.95 -10.00)m
c = 59.89m
The cost of satellite TV (s) in terms of months is
s = 125.00 +49.95m
The difference in price is ...
s - c = (125 +49.95m) -(59.89m)
s - c = 125 -9.94m
At 12 months, the difference in price is
s - c = 125 -9.94*12 = 5.72
This number is positive, which means ...
the Cable company will save Margot money over a 12-month period.
At 24 months, the difference in price is
s - c = 125 -9.94*24 = -113.56
This number is negative, which means ...
the Satellite TV company will save Margot money over a 24-month period.
_____
A graph of the costs shows a cross-over at 12.5 months. Until then, the Cable provider is less expensive. Over terms longer than that, the Satellite TV provider is less expensive.
Step-by-step explanation:
nodndnsjsjjsjsjjsjsjsjjsjdjjdjdkd
Answer:
To make this easier, first draw or imagine a vertical line at x=2
Find where the vertical line and the graph intersects.
Draw or imagine that point of intersection.
Now, draw or imagine a horizontal line that goes through the point of intersection.
That horizontal line tells us the the value of the function by passing through that mark that says "-2"
The function's value at x=2 is -2.
Have an awesome day! :)
Step-by-step explanation:
Answer:
The slope of the line representing the linear function f(x) is determined as
. The function f(x) is decreasing because the slope is less than zero, i.e., m<0.
Step-by-step explanation:
A linear function f(x) is given with two points, (2,3) and (0,4) lying on the line representing f(x).
It is asked to determine the slope of the line and state if the function is increasing or decreasing. of the value of the slope obtained.
Step 1 of 1
Determine the slope of the line.
The points as given in the question are (2,3) and (0,4). Now, the formula for the slope is given as

So, substitute
for
and
respectively, and
for
and
respectively in the above formula. Then simplify to get the slope as follows,
The slope of the line is obtained as
. Now, as
, so the function f(x) is decreasing.