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4 years ago

What is y and x intercept of 3x-2y=12

2 answers:

8 0

These intercepts are plotted in Figure 3.1 and the line 3x + 2y = 12 is drawn through them. Figure 3.2: Adding the graph of y = x + 1. The second equation y = x+ 1 has slope-intercept form y = mx + b. Hence, the slope is m = 1 and the y-intercept is (0, 1).

Mrac [35]4 years ago

5 0

First, put the equation in standard form for the equation of a line which is y = mx + b where m is the slope and b is the y-intercept:

3x - 2y = 12

-2y = -3x + 12

y = 3/2x - 6

We plug in 0 for x to find the y-intercept:

y = 3/2(0) - 6

y = -6

Now we can see the the y-intercept must be (0, -6).

Now to find the x intercept, plug in 0 for y:

0 = 3/2x - 6

3/2x = 6

x = 4

So the x intercept is (4, 0).

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8/2 = 4 it is the ratio

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3 years ago

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Molly and Liza are exercising. Molly does 10 push-ups at the same time as Liza does 15 push-ups. When Molly does 40 push-ups, ho

professor190 [17]

Answer:

60 push-ups

Step-by-step explanation:

Set up a ratio to represent the problem:

Molly : Liza

10 : 15

40 : ?

How did we get from 10 to 40?

You multiply by 4. Therefore, multiply by 4 on both sides of the ratio.

10 : 15

x4 x4

40 : 60

So, Liza does 60 push-ups while Molly does 40.

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3 years ago

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What is the slope indicated in the table below: (x) 12,14,16,18 (y) 21,17,13,9

Nesterboy [21]

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3 years ago

Determine the equations of the vertical and horizontal asymptotes, if any, for f(x)=2x/x+4

slamgirl [31]

Answer:

Vertical asymptote:x=-4

Horizontal asymptote: y=2

Step-by-step explanation:

The given rational function is

$f(x)=\frac{2x}{x+4}$

To find the vertical asymptote we equate the denominator to zero and solve for x.

x+4=0

The equation of the vertical asymptote is

x=-4

To find the horizontal asymptote we take limit to infinity. Or simply express the coefficient of x in the numerator over the coefficient of x in the denominator since this is a proper rational function.

The horizontal asymptote has equation

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4 years ago

A chicken salad recipe calls for 1 8

NARA [144]

Answer: $1.0625\ pounds$ or $\frac{17}{16}\ pounds$

Step-by-step explanation:

The complete exercise is: "A chicken salad recipe calls for $\frac{1}{8}$ pound of chicken per serving . How many pounds of chicken are needed to make $8\frac{1}{2}$ serving".

You can convert the Mixed number to a Decimal number. Divide the numerator 1 by the denominator 2 and then add the quotient to the Whole number. Then, you get:

$8+0.5=8.5$