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3 years ago

Cancel the common factor of the numerator and the denominator and write specified expression

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

3 0

Step-by-step explanation:

Hello,

I hope you mean to cancel the common factor that exists in numerator and denominator,right.

so, Let's look for the common factor, 

here, the expression is, 

=4(x-2)/ (x+5)(x-2)

so, here we find the common factor is (x-2)

now, we have to cancel it. And after cancelling we get,

=4/(x+5)

Note:{ we cancel the common factor if the common factors are in multiply form.}

Hope it helps 

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Simplify into one fraction -2/x+3 - 4/x-5

sergiy2304 [10]

Multiply and divide by the product of the denominators.
$\dfrac{-2}{x+3}+\dfrac{-4}{x-5}=\dfrac{-2(x-5)-4(x+3)}{(x+3)(x-5)}\\\\=\dfrac{-6x-2}{x^{2}-2x-15}$

6 0

4 years ago

Read 2 more answers

Write a polynomial function $f$ of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.

olganol [36]

Answer:

$f(x) = x^{3} + 4x^{2} -7x^{} -10^{}$

Step-by-step explanation:

The zeros of the polynomial function are given us as -5,-1,2

If the zeros of a polynomial function are α,β,ω, the polynomial function can be obtained using the expression below:

f(x) = (x - α)(x - β)(x - ω)

where α = -5, β = -1, and ω = 2

$f(x)=(x-(-5) )(x -(-1))(x - 2) = (x+5)(x+1)(x-2)\\\\f(x)=(x+5)(x^{2} -2x + x -2) = (x+5)(x^{2} -x-2)\\\\f(x)=x(x^{2} -x-2)+5(x^{2} -x-2)\\\\f(x)= x^{3} - x^{2} -2x + 5x^{2} - 5x - 10\\\\f(x)= x^{3} + 4x^{2} -7x - 10$

NB: To arrive at the answer, expand the brackets and after expansion, collect like terms to obtain the final answer

4 0

3 years ago

Please help if you can, thank you

Mariulka [41]

Answer:

1.11333333

Step-by-step explanation:

I calculated using Symbolab

sorry if its wrong

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3 years ago

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Juan deposited $200 in savings account earning 3% interest over 2 years .

hoa [83]

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3 years ago

Select the correct answer.

Burka [1]

The equation in which b varies directly as the square root of c is b = 50 · √c. (Correct choice: B)

<h3>What is the equation of the direct variation between two variables?</h3>

In this problem we have a case of direct variation between two variables, which is mathematically described by a direct proportionality model, whose form and characteristics are shown below:

b ∝ √c

b = k · √c (1)

Where k is the proportionality constant.

First, we determine the value of the constant of proportionality by substituting on b and c and clearing the variable: (b = 100, c = 4)

k = b / √c

k = 100 / √4

k = 100 / 2

k = 50

Then, the equation in which b varies directly as the square root of c is b = 50 · √c. (Correct choice: B)

To learn more on direct variation: brainly.com/question/14254277

#SPJ1

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2 years ago

Cancel the common factor of the numerator and the denominator and write specified expression￼

Cancel the common factor of the numerator and the denominator and write specified expression