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3 years ago

What is 22+54x=-20+60x

Mathematics

1 answer:

krek1111 [17]3 years ago

4 0

Answer:

Step-by-step explanation:

22+54x=20+60x

54x=-42+60x

-6x=-42

x=7

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4 years ago

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In the following pair of polynomials, the second polynomial is a factor of the first. Factor completely x^3+3x^2-18x , x-4

OLga [1]

Answer:

The required factors are: x, (x + 6) and (x - 3).

Step-by-step explanation:

As per the question,

The given polynomial is:

$x^{3}+3x^{2}-18x$

Now,

BY factorization, we get

$x^{3}+3x^{2}-18x$

$=x(x^{2}+3x-18)$

By splitting the mid-term, that is split 3x like:

3x = 6x - 3x

Therefore,

$x(x^{2}+6x-3x-18)$

Now on further solving by taking common factor out, we get

$=x[x(x+6)-3(x+6)]$

$=x(x+6)(x-3)$

Therefore, the given second polynomial (x - 4), is not a factor of given polynomial $x^{3}+3x^{2}-18x$ .

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4 years ago

Two quantities vary inversely. If the value of the first is 15 when the value of the second is 18, find the value of the second

vovikov84 [41]

Answer:

The value of second quantity is 27

Step-by-step explanation:

Inverse variation can be represented by the equation xy=k or $y = \frac{k}{x}$ i.e,

y varies inversely as x , if there is some nonzero constant k such that, xy =k or $y = \frac{k}{x}$ where x≠0 and y≠0.

Given: Two quantities vary inversely.

Let x be the first quantity and y be the second quantity if they vary inversely.

then, by definition of inverse variation;

$y = \frac{k}{x}$ .....[1]

Substitute the value of x=15 and y=18 to solve for k;

$18= \frac{k}{15}$

Multiply both sides by 15 we have;

$15\times 18=15 \times \frac{k}{15}$

Simplify:

k=270

now, find the second quantity y using same method when x=10.

then;

after substituting the value of x=10 and k=270 in [1] ;

$y = \frac{270}{10}$

Simplify:

y= 27

Therefore, the second quantity value i.e,y = 27

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