6 multiplied by 4 is 24 feet. Then convert it to meters by multiplying .3048 by 24 which means the answer is 7.3152 meters
6n+n n=5
substitute
6(5)+(5)
30+5
35
Unsure of whether this is a composite function or not. It does look like you've multiplied f(x) and g(x) together.
Looking at <span>-30x2 - 9x + 12, we see immediately that this is a polynomial function. Because of that, the domain is the set of all real numbers. The graph of this poly opens down, so the max value is at the vertex, x = -b / (2a).
Here a= -6 and b= -9, so this x-value is -(-9) / (2*(-6)), or x = 9/12, or x = 3/4.
By subst. 3/4 for x in the poly., we find that the max y value is 4.83. Thus,the rante is (-infinity, 4.83].</span>
Answer:
Step-by-step explanation:
In order to find the equation for these graphs, we have to note what forms a line.
The slope: Which is just the rise of the line over the run - how much it increases in y over how much it increases in x.
The y-intercept: Where does the graph intersect the y-axis?
Fortunately, there's a type of formula commonly used that includes both of these - slope-intercept form. It is written in the form , where m is the slope and b is the y-intercept.
<em>For number 1</em><em>:</em>
We can see that the graph intersects the y-axis at 1. So the y-intercept is 1, aka b = 1.
We can also see that for every 1 decrease in y, x increases by 2. <em>This is where the two dots come in useful</em>.<em> </em> This means our change in y is -1 and our change in x is 2. Since slope is rise over run, we can divide it.
Now that we know the slope and the y-intercept, we can plug these values into .
<em>For Number 2:</em>
Same logic applies. The graph intersects the y-axis at 0, so b = 0, aka we don't need to include that term in the end equation.
We can see that when x increases by 2, y increases by 3. Since the slope is rise over run, the slope is .
Hope this helped!