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il63 [147K]
3 years ago
8

How can you solve an equation or inequality in one variable?

Mathematics
1 answer:
zimovet [89]3 years ago
4 0

In order to solve an equation for a variable, we need to isolate that variable on one side of the equation (either left side or right side).

Following are some steps to solve equation/inequality in one variable:

1) Get rid constant number from on side by applying reverse operation of addition or subtraction.

2) Get rid variable terms from other side by applying reverse operation of addition or subtraction.

3) Combine like terms on both sides.

4) Get rid any coefficent ( a number in front of a variable) by dividing from both sides.

5) Finally you get a variable on one side and solution on other side.

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Leokris [45]
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3 years ago
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Explain why the "+ C" is not needed in the antiderivative when evaluating a definite integral.
Aliun [14]

The reason the "+ C" is not needed in the antiderivative when evaluating a definite integral is; The C's cancel each other out as desired.

<h3>How to represent Integrals?</h3>

Let us say we want to estimate the definite integral;

I = \int\limits^a_b {f'(x)} \, dx

Now, for any C, f(x) + C is an antiderivative of f′(x).

From fundamental theorem of Calculus, we can say that;

I = \int\limits^a_b {f'(x)} \, dx  = \phi(a) - \phi(b)

where Ф(x) is any antiderivative of f'(x). Thus, Ф(x) = f(x) + C would not work because the C's will cancel each other.

Read more about Integrals at; brainly.com/question/22008756

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8 0
2 years ago
Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27,
Vera_Pavlovna [14]

Answer:

y=9x

y=\frac{18x}{2}

y=\frac{81x}{9}

Step-by-step explanation:

The given equation is

3y=27x

If we isolate y, we can find the constant

y=\frac{27x}{3}\\ y=9x

So, the constant is k=9.

Another proportions that have the same constant as the given equation are

y=9x

y=\frac{18x}{2}

y=\frac{81x}{9}

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3 years ago
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riadik2000 [5.3K]

Step-by-step explanation:

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John runs 15 miles in 3hours. how many miles can john run per hour
nata0808 [166]

Answer:

5 miles an hour

Step-by-step explanation:

15 divided by 3

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