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makkiz [27]
4 years ago
6

Graph the linear equation. 3x−4y=12 Please show it on a graph

Mathematics
1 answer:
baherus [9]4 years ago
5 0

Answer: The graph is attached.

Step-by-step explanation:

By definition, the line intersects the y-axis when x=0.

Then, in order to find the y-intercept, substitute x=0 into the equation and solve for "y":

3(0)-4y=12\\\\y=\frac{12}{-4}\\\\y=-3

By definition, the line intersects the x-axis when y=0.

Then, in order to find the x-intercept, you can substitute y=0 into the equation and then you must solve for "x". Then you get:

3x-4(0)=12\\\\x=\frac{12}{3}\\\\x=4

Knowing that the line passes through the points (0,-3) and (4,0), you can graph it (The graph is attached).

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A cake recipe calls for 30 milliliters of water for every 20 milliliters of cooking oil. How many milliliters of water are neede
NikAS [45]
To solve this problem we can set up a proportion, letting x represent the unknown amount of cooking oil.

30 milliliters water/20 milliliters cooking oil = x milliliters water/ 50 milliliters cooking oil

30/20 = x/50

To solve this proportion, we can use cross products, also called the means extremes products theorem.  This takes the products of the numerator and denominator from the separate fractions and sets them equal to one another.  In this circumstance, it results in the equation:

(30)(50) = (x)(20)

When we multiply we get:

1500 = 20x

Finally, we have to divide both sides of the equation by 20 to get our variable x alone on the right side of the equation.

x = 75 milliliters

Therefore, the proportion is completed, as 30/20 = 75/50.

Answer: You need 75 milliliters of water.


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