Answer:
- slope = 3/2
- y-intercept = 3
- x-intercept = -2
Step-by-step explanation:
The slope is the coefficient of x when the equation is of the form ...
y = (something).
Here, we can put the equation in that form by subtracting 12x and dividing by the coefficient of y:
12x -8y = -24 . . . . . given
-8y = -12x -24 . . . . .subtract 12x
y = 3/2x +3 . . . . . . . divide by -8
This is the "slope-intercept" form of the equation. Generically, it is written ...
y = mx + b . . . . . . where m is the slope and b is the y-intercept
So, the above equation answers two of your questions:
slope = 3/2
y-intercept = 3
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The x-intercept is found fairly easily from the original equation by setting y=0:
12x = -24
x = -24/12 = -2 . . . . . the x-intercept
_____
A graph of the equation can also show you these things. The graph shows a rise of 3 units for a run of 2, so the slope is rise/run = 3/2. The line crosses the axes at x=-2 and y=3, the intercepts.
Answer:
$30.72
Step-by-step explanation:
You were right with your answer, the teacher is probably just wanting you to tip on the subtotal (before tax) instead of the total total. Instead of doing total+tax+tip, we're going to figure out the tax and tip separately and then add it all together.
<u>Tipping on the subtotal (what your teacher wanted)</u>
20% of $24 = $4.80
8% of $24 = $1.92
$24+$4.80+$1.92=$30.72
<u>Tipping on the total (what you did)</u>
8% of $24 is $1.92
New total is $25.92
20% of $25.92 is $5.18
$25.92 + $5.18 = $31.10
The absolute value is 4 5/19
Yes, most likely. You may also find it helpful to plug the pi symbol along with your answer into your (scientific) calculator as it will give you a more accurate response.
Answer:
Number of Weeks - { 1, $120} {4, $480} {8, $960}
Step-by-step explanation:
First divide $1,800 by 15, which gives you 120. for for every week you add on $120. $120 times 4 gives us $480. 960 divided by 120 gives you 8 weeks. (i hope this helps :) )
