Answer: Associative Property of Addition
Step-by-step explanation: The statement 7 + (4 + 4) = (7 + 4) + 4 represents the associative property of addition. Notice that the addends or the numbers we are adding are the same on both sides of the equals sign.
But on the left side, 4 and 4 are grouped together and on the right side, 7 and 4 are grouped together.
The <em>associative property of addition</em> says that when we are adding more than two numbers, the grouping of the addends does not affect the sum.
Here, the order operations tells us to begin inside the parentheses. So we have 4 + 4 which is 8 and 7 + 8 is 15.
On the right side, notice that 7 + 4 is 11 and 11 + 4 is also 15.
In general terms, we can write the associative property of addition as
(a + b) + c = a + (b + c) where <em>a</em>, <em>b</em>, and <em>c</em> are variables that can represent any number.
See attachment for the graph of y = 2x - 1
<h3>How to graph the function?</h3>
The equation of the function is given as:
4x + y = 6x - 1
Subtract 4x from both sides of the equation
y = 2x - 1
This means that the equivalent equation of 4x + y = 6x - 1 is y = 2x - 1
So, we plot the graph of y = 2x - 1 to represent the equation 4x + y = 6x - 1
See attachment for the graph of y = 2x - 1
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Answer:
-3/2
Step-by-step explanation:
Formula for slope is y2-y1/x2-x1
3-5/3-1
-3/2
Answer:
-4m-17
Step-by-step explanation:
g(2m+7) = -2*(2m+7) -3
= -4m -14 -3
= -4m -17
Answer:
Rita paid 47,500 dollars for the purchase price.
Step-by-step explanation:
We are given the sales tax on a new car is directly proportional to the purchase price of the car which means there is is something k such that
when you multiply it to the sales tax you get the purchase price.
Let's set this equation:
y=kx
Let y represent the purchase price and x the sales tax.
The second sentence tells us that (x,y)=(1500,30000).
We can plug this into y=kx to find the constant k. (Constant means it stays the same no matter what the input and output is).
So we have:
30000=k(1500)
300 =k(15) I went ahead and divided previous equation by 100.
Now divide both sides by 15:
300/15=k
Simplify:
20=k
So the equation to use the answer the question is
y=20x
where y is purchase price and x is sales tax.
So we want to know the purchase price on a car if the sales tax is 2375.
So replace x with 2375:
y=20(2375)
y=47500
