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3 years ago

Determine the x and y intercepts of the graph of 3x + 4y = 24

Mathematics

2 answers:

Studentka2010 [4]3 years ago

6 0

Answer:

Step-by-step explanation:

Evgen [1.6K]3 years ago

4 0

Answer:

Step-by-step explanation:

3x + 4y = 24

Find the x intercept by solving intersecting the graph of f(x) or y with

y=0 (which is the x-axis)

4y= -3x+24, subtract 3x from both sides of the equation

y = (-3x/4) +6, divide both sides by 4

if y=0 then

(-3x/4) +6 = 0 , subtract 6 from both sides

-3x/4 = -6, multiply both sides by 4

-3x = -24 , divide both sides by

x= 8, so the x intercept is at (8, 0)

the general formula of a line is y=mx+b , where b is the y-intercept

since our equation is y = (-3x/4) +6 then y intercept is at (0, 6)

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4 years ago

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Step-by-step explanation:

Cmon man, your not even trying.

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4 years ago

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solmaris [256]

Answer:

See below.

Step-by-step explanation:

x^2 = y + 16

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are the 2 equations. (answer)

From the second equation

4y = 7x + 1

y = 7/4 x + 1/4

Substituting in the first equation:

7/4x + 1/4 + 16 = x^2

x^2 - 7/4 x - 16 - 1/4 = 0

x^2 - 7/4 x - 16 1/4 = 0

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4x^2 - 20x + 13x - 65 = 0

Fatcor by grouping:

4x(x - 5) + 13(x - 5) = 0

(4x + 13)(x - 5) = 0

So the the roots are 5, -3.25

To find the values of y we substitute these values of x into the second equation:

x = 5: 4y - 1 = 7*542y = 36

y = 9.

x = -3.25:

4y - 1 = 7*-3.25

4y = (7 * -3.25) + 1

y = -5.44.

So the solutions are (5, 9) and (-3.25, -5.44) (Answer)

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