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3 years ago

Algebra Find the values of x and y. 5. olgaus 1986. 115° х” 081 91129 rast

Mathematics

1 answer:

djverab [1.8K]3 years ago

3 0

Answer:

hey look up it up it's better

Step-by-step explanation:

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Find x: 3/(x-4)(x-7) + 6/(x-7)(x-13) + 15/(x-13)(x-28) - 1/x-28 = -1/20

Novay_Z [31]

The value of x in the polynomial fraction 3/((x-4)•(x-7)) + 6/((x-7)•(x-13)) + 15/((x-13)•(x-28)) - 1/(x-28) = -1/20 is x = 24

<h3>How can the polynomial with fractions be simplified to find x?</h3>

The given equation is presented as follows;

$\frac{3}{(x - 4) \cdot (x - 7) } + \frac{6}{(x - 7) \cdot (x - 13) } + +\frac{15}{(x - 13) \cdot (x - 28) } - \frac{1}{(x - 28) } = - \frac{1}{20}$

Factoring the common denominator, we have;

$\frac{3\cdot(x - 13) \cdot(x - 28) + 6 \cdot(x - 4) \cdot(x - 28) + 15 \cdot(x - 4) \cdot(x - 7) - (x - 4) \cdot (x - 7)\cdot(x - 13)}{(x - 4) \cdot (x - 7)\cdot(x - 13) \cdot(x - 28)} + = - \frac{1}{20}$

Simplifying the numerator of the right hand side using a graphing calculator, we get;

By expanding and collecting, the terms of the numerator gives;

-(x³ - 48•x + 651•x - 2548)

Given that the terms of the numerator have several factors in common, we get;

-(x³ - 48•x + 651•x - 2548) = -(x-7)•(x-28)•(x-13)

Which gives;

$\frac{-(x - 7) \cdot(x - 28)\cdot (x - 13)}{(x - 4) \cdot (x - 7)\cdot(x - 13) \cdot(x - 28)} + = - \frac{1}{20}$

Which gives;

$\frac{-1}{(x - 4)} + = - \frac{1}{20}$

x - 4 = 20

Therefore;

x = 20 + 4 = 24

Learn more about polynomials with fractions here:

brainly.com/question/12262414

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5 0

2 years ago

I need help with the solution

Artyom0805 [142]

The answer is Pedro.

3 0

1 year ago

I need help with this in math right now I'm struggling

kaheart [24]

Answer:

y=-4x-2

Step-by-step explanation:

linear function, y = mx+c

the y intercept of the graph,c, is -2

thus y = mx - 2

substitute a point on the graph into the equation, (2,-1)

2 = m(-1) -2

m = - 4

thus equation of graph is y = -4x-2

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2 years ago

(x + 12)2 + (y+13)2 = 36 What’s the steps to get the center and the radius?

Anon25 [30]

Step-by-step explanation:

${(x + 12)}^{2} + {(y + 13)}^{2} = 36 \\ {(x + 12)}^{2} + {(y + 13)}^{2} = {6}^{2} \\ equating \: it \: with \: \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ - h = 12 \implies \: h = - 12 \\ - k= 13 \implies \: k = - 13 \\ \therefore \: center \: = (h, \: \: k) = ( - 12, \: \: - 13) \\ \: \: \: \: {r}^{2} = {6}^{2} \implies \: radius \: (r)= 6 \: units$

7 0

3 years ago

Round $0.6848 to the nearest cent.

lora16 [44]

$0.68. When you round a number when it comes to decimals, you need to round to the nearest 100ths place.

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3 years ago