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1 year ago

43. Consider the equation 4(x-8)+y=9(x-2)

Mathematics

1 answer:

xxMikexx [17]1 year ago

5 0

The expression of the equation 4(x - 8) + y = 9(x - 2) in slope intercept form is; y = 5x + 14

<h3>How to write an equation in Slope Intercept form?</h3>

We want to express 4(x - 8) + y = 9(x - 2) in slope intercept form of y = mx + b.

Let us expand the equation to get;

4x - 32 + y = 9x - 18

Isolate y to get;

y = 9x - 4x - 18 + 32

y = 5x + 14

Thus;

Slope = 5

y - intercept = 14

x - intercept = -2.8

Read more about Slope Intercept Form at; brainly.com/question/1884491

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PLEASE HELP QUICKLY how can I accurately solve this equation?

elena55 [62]

Answer:

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Step-by-step explanation:

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2 years ago

Given the equation 3x - 4y = 8, which equation below would cause a consistent-dependent system?

Len [333]

3x - 4y = 8

y = mx + b ; m is the slope ; b is the y-intercept

-4y = -3x + 8
y = -3x/-4 + 8/-4
y = 3/4 x - 2

Need to check if the given choices have the same slope.

3x + 4y = -8
4y = -3x - 8
y = -3/4 x - 8/4 = -3/4 x - 2

6x - 8y = 12
-8y = -6x + 12
y = -6/-8 x + 12/-8
y = 3/4 x - 1 1/2

9x - 12y = 24 This equation would cause a consistent-dependent system
-12y = -9x + 24
y = -9/-12 x + 24/-12
y = 3/4 x - 2

16x + 12y = -10
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4 0

2 years ago

Read 2 more answers

Which statement best describes the effect of replacing the function f(x) = 2x + 2 with the function g(x) = 2x - 3?

FrozenT [24]

The correct answer is: The graph shifts 5 units right

Explanation:
Below is the graph attached of both the equations:

Red line: Represents f(x) = 2x + 2.
Blue line: Represents g(x) = 2x - 3.

As you can see in the graph that g(x) is shifted 5 units right to f(x).

If you move towards right by 1 unit, you have to subtract 1 from f(x) until you reach g(x) like:
2x + 2 - 1 = 2x + 1 (1 unit)
2x + 1 - 1 = 2x (1 unit)
2x - 1 = 2x - 1 (1 unit)
2x - 1 -1 = 2x - 2 (1 unit)
2x -2 - 1 = 2x -3 (1 unit)

Total 5 units.

Hence the correct answer is the graph shifts 5 units right.

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2 years ago

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What is the square root of 12383?

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2 years ago

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8/x-5 - 9/x-4 = 5/x^2-9x+20

adelina 88 [10]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2752942

_______________

Solve the equation:

$\mathsf{\dfrac{8}{x-5}-\dfrac{9}{x-4}=\dfrac{5}{x^2-9x+20}\qquad\qquad(x\ne 5~and~x\ne 4)}$

Reduce the fractions at the left side so that they have the same denominator:

$\mathsf{\dfrac{8(x-4)}{(x-5)(x-4)}-\dfrac{9(x-5)}{(x-4)(x-5)}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-4x-5x+20}-\dfrac{9x-45}{x^2-4x-5x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-9x+20}-\dfrac{9x-45}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32-(9x-45)}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}$

Numerators must be equal:

$\mathsf{8x-32-(9x-45)=5}\\\\
\mathsf{8x-32-9x+45=5}\\\\
\mathsf{8x-9x=5+32-45}\\\\
\mathsf{-x=-8}\\\\
\mathsf{x=8}\quad\longleftarrow\quad\textsf{this is the solution.}$

I hope this helps. =)

Tags: rational equation fraction solution algebra

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2 years ago