Answer:
Step-by-step explanation:
To write the equation of a line use the point slope formula . Find m by using the slope formula with the points.
Since the line is parallel, it will have the same slope.
Substitute m = -1/3 and (-3,-4).
Answer:
Step-by-step explanation:
Alrighty let's do this.
We know that formula for the Area of a triangle is:
They give us the area as , so let's include it in the equation.
Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that
So replace in the equation with .
You will now get:
Now we can work towards solving. Let's get simplifying.
bring everything to one side so we can make a quadratic and factor:
We get that .
Since we need the height of the triangle we'll need to call back on what h is. We found earlier that , so to find h, we just sub in our b value into that.
We find that
Answer:
The function has the property of exponential growth function.
Step-by-step explanation:
The exponential function is given by , where b > 1.
Now, for x = 0, we get y = 1,
For x = 1, we get y = b
For, x = 2, we get y = b²
And so on.
Now, as b > 1, so, b² > b > 1 and the values of y are increasing as the value of x increases.
Therefore, the function has the property of exponential growth function.
The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.
<h3>How to calculate the value?</h3>
From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:
= 2125 + (49.99 × x)
= 2125 + 49.99x
The equation that can be used to represent the information about Richie company will be:
= (39.95 × x)
= 39.95x
Therefore, we will equate both equations:
2125 + 49.99x = 39.95x
49.99x - 39.95x =2125
10.04x = 2125
x = 212
Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.
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