Answer:
It is the distance of x from zero. Examples:The absolute value
of 5 is 5.
The absolute value of -10 is 10.
(Complex numbers) The absolute value of 4 + 3 is 5.
Step-by-step explanation:
To solve with Elimination:
Write the equations under one another, like this:
2x - y = -1
+ 3x + 4y = 26
Ideally, we would like for one of the variables to be eliminated when we add vertically (straight down). But if we add them as they are this does not happen. We must manipulate one of the equations so that it will happen. Again, you can try to eliminate either x or y. I always look for a term that has a coefficient of 1 (or negative 1). So, let's use that y from the first equation again.
If the coefficient of the y in the other equation is POSITIVE 4, then I need the coefficient from the first equation to be its opposite, NEGATIVE 4. To do this, simply multiply the first equation by 4, this will create MAGIC!
4( 2x - y = -1)
+ 3x + 4y = 26
Be certain to Distribute across the entire first equation, so multiply all three terms by 4.
8x - 4y = -4
+ 3x + 4y = 26
Now add straight down (vertically). The y term will be eliminated.
11x = 22
Divide both sides of the equation by 11.
x = 2
Almost there! Now, substitute the 2 in for x in either of the original equations. Either one will work. I'm gonna use the second equation.
3x + 4y = 26
3(2) + 4y = 26
6 + 4y = 26
Subtract 6 from both sides of the equation.
4y = 20
Divide both sides of the equation by 4.
y = 5
That's it! There it is again. Put it all together. If x = 2 and y = 5, then the solution is the ordered pair, (2,5).
Answer:
In an equation of the form y = mx + b the slope is represented by "m".
Therefore, the slope of y= 2/3 x +5 is (2/3)
Step-by-step explanation:
Answer:
B- 1 inch= 2 feet
Step-by-step explanation:
For this make a fraction, and then simplify. This will show the scale factor.
So, the answer will be 1 inch=2 feet.
Solutions
We know that <span>Function 1 shows a greater rate of change, because Maddy spends $20 each month and Caitlin spends $18.
</span>
Maddy spends 2 dollars more.
Therefore the correct answer is the last option.
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