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<span>Since you already have the equation in y = mx + b form, which is called the slope-intercept form, with m = slope and b = y-intercept, you can graph it easily with that information. The 3 is the y-intercept. That means point (0, 3) is where the line crosses the y-axis. Plot that point first. The slope, m = -(1/5). The slope is the rise (up or down) over the run (left or right), or rise/run. -(1/5) can be thought of (-1)/5 or as 1/(-5). Both ways are correct and work. After plotting (0, 3), using m = (-1)/3, start at (0, 3) and count one unit down, and three to the right. That's a second point on your graph. If you want a third point, you can go back to the original point, (0, 3), and now use the slope as 1/(-5). That is, from (0, 3), go 1 unit up and 5 to the left. That is a third point. Now draw a line through all three points. </span>I hope that this is the answer that you were looking for and it has helped you.
Answer: The correct answer is: [D]: "8" .
Step-by-step explanation:f y varies inversely with x; then y = k/x ; with "k" being the "constant" in this equation.
You can find the constant by substituting the values given: x = 16, f(x) = y = 2 ;
So, f(x) = y = 2 = k/16 ;
→ 2 = k / 16 ;
Solve for the constant; "k" ;
Multiply EACH SIDE of the equation by "16"
→ 16* (2) = (k / 16) * 16 ;
→ 32 = k ;
↔ k = 32 ;
As such, we can write the equation:
y = k/ x ; as:
→ y = 32/ x ;
Since we are given: "x = 4" ; Plug in that value; and solve for "y" ;
y = 32/4 = 8 .
y = 8 .
y = f(x) ;
So; f(x) = 8 ; which is: Answer choice: [D]: "8" .
Answer:
It is true
Step-by-step explanation:
If they are between the same parallels, then they have the same height, the base is the same.. Then the area = base * height is the same
First, you have to set a system of equations to determine the number of fiction and of nonfiction books.Call f the number of fiction books and n the number of nonfiction books. Then 400 = f + n. And f = n + 40 => n = f - 40 => 400 = f + f - 40 => 400 - 40 = 2f => f = 360 / 2 = 180. Now to find the probability of picking two fiction books, take into account the the Audrey will pick from 180 fiction books out of 400, and Ryan will pick from 179 fiction books out of 399, so the probability will be<span> (180/ 400) * (179/399) = 0.20 (rounded to two decimals). Answer: 0.20</span>