Answer:
(The solution is (4, -11).
Step-by-stp explanation:
Let f(x) = g(x) = y:
y = 3x − 23
y = -4.5x + 7 Subtract the second equation from the first to eliminate y:
0 = 7.5x - 30
7.5x = 30
x = 4
Plug this into the first equation:
y = 3(4) - 23
y = -11.
Answer:
The slope is zero
Step-by-step explanation:
If the slope is positive, seeing the graph from left to right the line goes up, and if the slope is negative the line goes down, however if the slope is zero, it is a straight line that remains at the same point without going up or down.
Mathematically, we can define the slope as a <u>reason of change</u> between y and x, how much the line advances in y for a given change in x. Like this:
where is the slope, is the change in the y-axis, and is the change in the x-axis.
In this case the line does not change position on the y-axis (for any value of x the line is at the same point in y), so<u> change in y is zero</u>:
And therefore, the slope m:
Thus the slope is zero.
Answer:
3.) Choice B
4.) Choice A
Step-by-step explanation:
<em><u>Question #3:</u></em>
You can find the equation by doing the y divided by the x and you'll get 4 every time so that's why it's Choice B.
<em><u>Question #4:</u></em>
A proportional equation is always a straight line that goes through the origin. So the answer is Choice A because it's the only one without a y-intercept because if the equation had a y-intercept it wouldn't go through the origin. For example, Choice B would go through (0,5) and Choice C would go through (0,-1) but we need it to go through (0,0).
Answer:
A
Step-by-step explanation:
≈ 0.636363636...
with repeating digits 63
Answer:
Step-by-step explanation:
Let's start by creating the beginning of the data sample, knowing the population of bees triples each year.
Year 0 = 150
Year 1 = 450
Year 2 = 1350
Year 3 = 4050
Year 4 = 12150
If we look at the numbers, we see they are all divided by 150:
Year 0 = 150 / 150 = 1
Year 1 = 450 / 150 = 3
Year 2 = 1350 / 150 = 9
Year 3 = 4050 / 150 = 27
Year 4 = 12150 / 150 = 81
We then see the result of the division by 150 is in fact the table of multiplication by 3.
So, by inverting the operation, we can see the number of bees (x) for any given year starting from now is 150 times 3 at the power of the year (y).