Answer:
y = 3
Step-by-step explanation:
We need to find the slope. We do so by choosing any two points and dividing the change in the y-coordinates (their difference) by the change in the x-coordinates (their difference). Let's just choose (1, 3) and (0, 3). The slope is: . So, the slope is 0.
We want to write a line in slope-intercept form, which is: y = mx + b, where m is the slope and b is the y-intercept (where the line crosses the y-axis). Here, the slope m = 0. Looking at the graph, we see that the y-intercept is (0, 3), so b = 3. Then, our line is: y = 0x + 3 ⇒ y = 3.
Another note is that this is a horizontal line. One thing to remember is that all horizontal lines have slopes of 0, so their function is simply y = k, where k is a constant through which the line cuts through.
It will take 12 truckloads to fill up one warehouse. Hope this helps.
Answer:
I will get the function of g (x) and plug it on X in the function of f ( x ) and then later substitute X with 1
Answer & Step-by-step explanation:
7. The slope-intercept form of a linear equation is y = mx+b where m is the slope and b is the y-intercept. Looking at the two equations, we can rearrange them to be
y = -8x+1
y = 8x+2
From this, we can see that the m, or slope, of the equations are -8 and 8 respectively. Thus, we can determine that the steepness of both equations are equal though one is pointed downwards and the other upwards.
8. We already know that m is the slope so if the function is increasing, the slope is going upwards, thus m must be larger than 0.
Next, we plug in (4,0) into the function to determine b.
f(x) = mx + b
0 = m(4) + b
Since we have determined that m is larger than 0 and thus a positive number, m*4 will be a positive number. The only way for m(4) + b to equal to 0 then is for b to be a negative number, smaller than 0.
