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2 years ago

Identify the domain of the following rational expression:

Mathematics

1 answer:

Zinaida [17]2 years ago

4 0

The domain for the rational expression as given in the task content is; All real numbers except -5.

<h3>Domain of Rational functions</h3>

The domain of a rational function such as that given in the task content includes all possible values of the variable except that which renders the expression undefined.

On this note, the expression is undefined when, 3x + 15 = 0.

Hence, the domain is All real numbers except -5.

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3 years ago

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?

gogolik [260]

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4 years ago

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Solve the following system of equations using the substitution method.

BartSMP [9]

Answer:

Step-by-step explanation:

First label the equations.

6x +3y= 18 -----(1)

y= -2x +5 -----(2)

subst. (2) into (1):

6x +3(-2x +5)= 18

6x +3(-2x) +3(5)= 18 (expand)

6x -6x +15= 18

15= 18 (simplify)

(reject)

There is no solution.

<u>Further explanation</u><u>:</u>

If I rewrite the first equation into the form of y=mx+c, I would get

6x +3y=18

3y= 18 -6x (bring y term to one side)

y= 6- 2x (÷3 throughout)

y= -2x +6

Notice that the gradients of both lines are equal ( -2). This implies that they are parallel to each other and will never meet. Hence there are no solutions.

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3 years ago