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ch4aika [34]
3 years ago
7

Graph 2x-3y =18 using 4 points

Mathematics
1 answer:
wlad13 [49]3 years ago
8 0
2x - 3y = 18
First, you want to isolate y.
You do this by firstly subtracting 2x from both sides.
-3y = 18 - 2x
Then you divide both sides by -3.
y = (18 - 2x)/3
You now have your function. With this you can plug in x variables to find points. I’m going to use the variables: 0, 8, -2, and 1
If x = 0 : (18 - 2 * 0)/3 = (18 - 0)/3 = 18/3 = 6
First point: (0, 6)
If x = 8 : (18 - 2 * 8)/3 = (18 - 16)/3 = 3/3 = 1
Second point: (8, 1)
If x = -2 : (18 - 2 * -2)/3 = (18 + 4)/3 = 22/3
Third point: ( -2, 22/3)
Note: to make that easier to plot, change the fraction into a mixed number- so it would be 7 and 1/3
If x = 1 : (18 - 2 * 1)/3 = (18 - 2)/3 = 16/3
Fourth point: (1, 16/3)
Note: the mixed number would be 5 and 1/3
You can choose whatever x variables you want. I just choose some that would result in a whole number or a number that wouldn’t be too large - which can make it difficult to plot sometimes. For the future, some good go-to x variables are just -1, 0, 1, and 2. Just cause they’re easy numbers.
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castortr0y [4]
Y = 5x - 13 ----------- (1)
5x + 2y = 19 --------- (2)

Sub (1) into (2):

5x + 2(5x -13) = 19
5x + 10x - 26 = 19
15x = 19 + 26
15x = 45
x = 3 -------- sub back into (1)
y = 5(3) - 13
y = 15 - 13
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Ans: x = 3, y = 2
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3 years ago
32 is what percent of 50?
zubka84 [21]

Answer:

D, 64%

Step-by-step explanation:

To solve algebraic equations, you have to do the inverse or opposite, so because you are multiplying x by 50 on one side and x wants to be alone, you have to do the opposite which is divide by 50 to get x*1 or just x (because 50/50 equals 1) and what you do on one side of the = sign you do on the other, so 32/50 = 0.64. Then to make a percent you move the decimal to the right by 2 places and you get 64%

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A group of researchers investigated the effects of bed room lighting conditions in developing eye sight problems and found that
iogann1982 [59]

Answer:

Step-by-step explanation:

From the given information:

We are to find the following:

1)

Directional hypothesis: The directional hypothesis is the groups with different bedroom lightning conditions having a different proportion of eyesight proportions.

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The non directional hypothesis is each group having the same proportion of eyesight problems regardless and independent of the condition of the bedroom lightning.

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P(x)=x-3<br> g(x) = 2x-5<br> Find the following.<br> (p ° q)(5)= and (q ° p)(5)=
deff fn [24]

Answer:

  (p∘q)(5) = 2

  (q∘p)(5) = -1

Step-by-step explanation:

The composition of functions can be written a little differently, perhaps making it easier to understand.

  (p∘q)(x) = p(q(x))

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