Sam would have to get a 97 on his next test in order to maintain his average score at an 85. This is because if you add up 63, 84, 96, and 97 you get 340. When you divide 340 by the 4 test scores you get an average of exactly 85
Answer:
Point of x-intercept: (2,0).
Point of y-intercept: (0,6).
Step-by-step explanation:
1. Finding the x-intercept.
This point is where the graph of the function touches the x axis. It can be found by substituting the "y" for 0. This is how you do it:
![y=-3x+6\\ \\-3x+6=0\\ \\-3x=-6\\\\x=\frac{-6}{-3} \\ \\x=2](https://tex.z-dn.net/?f=y%3D-3x%2B6%5C%5C%20%5C%5C-3x%2B6%3D0%5C%5C%20%5C%5C-3x%3D-6%5C%5C%5C%5Cx%3D%5Cfrac%7B-6%7D%7B-3%7D%20%5C%5C%20%5C%5Cx%3D2)
Hence, the point of x-intercept: (2,0).
2. Finding the y-intercept.
This point is where the graph of the function touches the y axis. It can be found by substituting the "x" for 0. This is how you do it:
![y=-3(0)+6\\ \\y=6](https://tex.z-dn.net/?f=y%3D-3%280%29%2B6%5C%5C%20%5C%5Cy%3D6)
Hence, the point of y-intercept: (0,6).
(d): y = mx+n
m = -2/3 ⇒ y = (-2/3)x +n
A(-4, 6) ∈ d ⇒ 6 = (-2/3)·(-4) +n ⇒ 6 = 8/3 +n ⇒
⇒ n = 6 - 8/3 ⇒ n = 10/3
Now, we have:
y = (-2/3)x +10/3
Answer:
4 1/2
Step-by-step explanation:
Look at this expression as given in the original problem; the numbers, properly typewritten, are -5 1/2, - 4 1/4, + 6 3/4.
We want to combine these three numbers into one.
To do this, we need the LCD; it is 4.
Thus, -5 1/2 is rewritten as -5 2/4.
Then we have
-5 2/4 - 4 1/4 + 6 3/4 = -5 -4 + 6 + 2/4 + 1/4 + 3/4.
This simplifies to: +3 + 6/4, or 3 + 1 + 2/4, or
4 1/2
Answer:
hi
Step-by-step explanation:
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