<h3>
Answer: Graph a straight line through (0,-4) and (1,-8)</h3><h3>See diagram below</h3>
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Explanation:
Pick any number you want for x. I find x = 0 to be easiest. Plug this into the equation to get...
y = -4x-4
y = -4(0) - 4
y = 0-4
y = -4
This is the y intercept. The graph crosses the y axis at -4. So one point on this line is (0,-4) since x = 0 and y = -4 pair up together
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Repeat for another x value, say x = 1
y = -4x-4
y = -4(1)-4
y = -4-4
y = -8
We have x = 1 and y = -8 pair up now. Therefore another point on this line is (1,-8)
We could repeat for other x values, but we have enough info to graph this straight line. We only need two points minimum to graph a straight line.
So from here all you need to do is plot (0,-4) and (1,-8). Then draw a straight line through the two points. The line extends infinitely out in both directions.
You could use any other two points you wanted. For me I just find it easiest to work with 0 and anything close to it.
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Note how starting at (0,-4) we have moved 4 units down and 1 unit to the right to arrive at (1,-8). The "4 units down, 1 unit to the right" comes exactly from the slope of -4 = -4/1
slope = rise/run = -4/1
rise = -4 means we move down 4
run = 1 means we move 1 to the right
1. yes , it is it is exponential growth, because 1.04^x, and 1.04>1
2. 1.04=1+0.04
0.04 =4% rate of growth
The perimeter is 114 ft. because 680 divided by 17 is 40. 40+40+17+17= 114. I hope this helps! :)
Answer:
All whole numbers are rational numbers.
<u>False</u>
All integers are whole numbers.
<u>True</u>
<u />
There are integers that are not rational numbers.
<u>True</u>
There are whole numbers that are not integers.
<u>True.</u>
Let's have the first number, the larger number, be <em>x</em>. We'll have the second, smaller number be <em>y</em>.
We know that x = y + 6, since x is 6 greater than y.
We also know that 330 = x + y.
Because x = y + 6, 330 = y + 6 + y, which simplifies to 330 = 2y + 6.
Now all we need to do is simplify the equation. First, we subtract 6 from both sides:
330 - 6 = 324
2y + 6 - 6 = 2y.
So we have 324 = 2y. Then we divide both sides by 2 to get:
162 = y
Plug in y = 162 into the equation x = y + 6 to get:
x = 162 + 6
x = 168
Let's check to make sure our answer is right. 168 is 6 more than 162. 162 + 168 equals 330. So our two numbers are 168 and 162.