Answer:
x= 1, y=3
Step-by-step explanation:
y= 2x +1
y= -x +4
Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.
so y= 2x+1 but y is -x+4 so substitute
-x+4 = 2x +1, add x on both sides
4= 2x+x +1, subtract 1 from both sides
4-1 = 2x +x, combine like terms
3 = 3x , divide both sides by 3
x=1
if x=1 we substitute in y= -1 +4 = 3
With even just two points, you can find the equation of a line in slope-intercept form.
Slope-intercept form:
where
is the slope and
is the y-intercept
<u>1) Solve for the slope (</u>
<u>)</u>
The equation to solve for the slope is
when the two points are
and
. Plug the coordinates of these points into the equation and solve for
.
Then, plug
into
.
<u>1) Solve for the y-intercept (</u>
<u>)</u>
Then, take any of the given points and plug it into
along with the slope. Isolate
to get the y-intercept. Then, plug both m and b back into
to get your final equation.
I hope this helps!
Answer:
n = 19.89694
Step-by-step explanation:
You can work the problem using decimal numbers. There is no need to convert everything to integers. Trying to do so just gets you in trouble.
Subtract 2.2 from both sides:
-1.398 -2.200 = n/-5.53
-3.598 = n/-5.53
Now, multiply both sides by -5.53:
(-5.53)(-3.598) = n = 19.89694
_____
The one rule that cannot be violated in algebra is that <em>you must do the same thing to both sides of the equation</em>.
_____
Your "solution" so far has a couple of errors. The first is that you have apparently multiplied all of the numbers by 1000. Unfortunately, when you multiply a denominator by 1000, it is the same as dividing by 1000. So, you have multiplied the left side by 1000, multiplied one term on the right by 1000 and divided another term on the right by 1000. This turns the equation into something different than what you started with, and will give a wrong answer.
The second error is that you have subtracted 2200 only from the right side. This, too, will turn the equation into something different than what you started with, and will give a wrong answer.
The answer is b, -11.
plug in 3 as the input and solve.
Answer:
It's $32.39.
Step-by-step explanation:
35.99 - 35.99*10% =
=35.99 - 35.99*0.1
=35.99 - 3.599
=32.391
32.391 is close to 32.39 so we will round it to that number.
The answer is $32.39.