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sineoko [7]
3 years ago
8

Without sketching the graph, find the x intercepts and y-intercepts of the graph of the equation 2x+3y=12 What isjare the x-inte

rcept(s)? Select the correct choice below and, il necessary, il in the answer box within your choice ? A. The x intercept(s) isare? O B. There are no x-intercepts (Type an integer or a simplifted fraction Use a comma to separate answers as needed ) Click to select and enter your answeris) and then click Check Answer Clear All 0
Mathematics
1 answer:
den301095 [7]3 years ago
8 0

Answer:

x-intercept: (6,0)

y-intercept:  (0,4)

Step-by-step explanation:

The x-intercepts lay on the x-axis and therefore their y-coordinate is 0.

To find the x-intercept, you set y to 0 and solve for x.

2x+3y=12

Set y=0.

2x+3(0)=12

2x+0    =12

2x         =12

Divide both sides by 2:

 x          =12/2

 x          =6

The x-intercept is (x,y)=(6,0).

The y-intercepts lay on the y-axis and therefore their x-coordinate is 0.

To find the y-intercept, you set x to 0 solve for y.

2x+3y=12

2(0)+3y=12

0+3y    =12

3y         =12

Divide both sides by 3:

 y          =12/3

 y           =4

The y-intercept is (0,4).

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2 years ago
The volumes of two cubes are 32ft^3 and 1372ft^3
ser-zykov [4K]

Answer:

1) 8 : 343

2) 42.875 or 42 ⅞

3) 4 : 49

4) 16ft²

Step-by-step explanation:

Volume of cube: s³

Surface area of cube: 6s²

_____________________

32ft^3 and 1372ft^3 →

32 : 1372 = 8 : 343

343 / 8 = 42 ⅞ = 42.875

s³ → 6s²

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These are proportional so it is already in the simplest ratio so it is not necessary to multiply by 6.

s³ → 8 : 343

6s² → 4 : 49

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3 years ago
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Zanzabum

Answer:

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Step-by-step explanation:

Given the following algebraic expression;

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To add the equation together;

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