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3 years ago

How to get y by itself in the equation x+2y=10

Mathematics

1 answer:

Nataly_w [17]3 years ago

4 0

Answer:

The value of y by itself in the equation x+2y=10 is

$y=\frac{10-x}{2}$

Step-by-step explanation:

Given equation is x+2y=10 -------- (1)

To find y with given equation as below :

Equation (1) implies that x+2y=10

Subtracting the above equation by x we get

x+2y-x=10-x

x-x+2y=10-x

2y=10-x

Dividing by 2 on both sides we get

$\frac{2y}{2}=\frac{10-x}{2}$

$y=\frac{10-x}{2}$

Therefore the value of y is $\frac{10-x}{2}$

Therefore the value of y by itself in the equation x+2y=10 is

$y=\frac{10-x}{2}$

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Determine any asymptotes (Horizontal, vertical or oblique). Find holes, intercepts and state it's domain.

vesna_86 [32]

Factorize the denominator:

$\dfrac{x^2-4}{x^3+x^2-4x-4}=\dfrac{x^2-4}{x^2(x+1)-4(x+1)}=\dfrac{x^2-4}{(x^2-4)(x+1)}$

If $x\neq\pm2$ , we can cancel the factors of $x^2-4$ , which makes $x=-2$ and $x=2$ removable discontinuities that appear as holes in the plot of $g(x)$ .

We're then left with

$\dfrac1{x+1}$

which is undefined when $x=-1$ , so this is the site of a vertical asymptote.

As $x$ gets arbitrarily large in magnitude, we find

$\displaystyle\lim_{x\to-\infty}g(x)=\lim_{x\to+\infty}g(x)=0$

since the degree of the denominator (3) is greater than the degree of the numerator (2). So $y=0$ is a horizontal asymptote.

Intercepts occur where $g(x)=0$ ( $x$ -intercepts) and the value of $g(x)$ when $x=0$ ( $y$ -intercept). There are no $x$ -intercepts because $\dfrac1{x+1}$ is never 0. On the other hand,

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so there is one $y$ -intercept at (0, 1).

The domain of $g(x)$ is the set of values that $x$ can take on for which $g(x)$ exists. We've already shown that $x$ can't be -2, 2, or -1, so the domain is the set

$\{x\in\mathbb R\mid x\neq-2,x\neq-1,x\neq2\}$

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3 years ago

The sum of two numbers is 36 . The larger number is 22 more than the smaller number. What are the numbers?

Setler [38]

X + y = 36
x = y + 22

y + 22 + y = 36
2y + 22 = 36
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2y = 14
y = 14/2
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x + y = 36
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x = 36 - 7
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so ur 2 numbers are : 7 and 29

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3 years ago

Pick the correct description of the line 2y = 10

lana [24]

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3 years ago

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Find the 10th term in a sequence whose general term is an = n2 – 8. Question 7 options: A) 92 B) 108 C) 12 D) 113

Leto [7]

Answer:

10th term means n = 10

we have general term = n² -8

substituting the value of n we get

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Step-by-step explanation:

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