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2 years ago

What is x-3< 1 in interval notation

1 answer:

6 0

(-∞,4). All I did was isolated x, and it says that x has to be less than 4. That means anything before 4 is fair game. Since the problem said that it can't be equal to 4 (as it would have had to have a line under the less than symbol), I used parenthesis on the 4 side as opposed to hard brackets. The <span>∞ always requires parenthesis. </span>

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Find the range of the function. f(x)=10-x^2

Ratling [72]

Answer:

range = x ≤ 10

Step-by-step explanation:

Given in the question the function

f(x)=10-x^2

The range of a function is the complete set of all possible resulting values of the dependent variable F(x) after we have substituted the domain which is the values of x.

domain = set of all integers

range = x ≤ 10

f(x)=10-x²

since any negative value of x will be positive with squared so we will start from 0

f(0) = 10-0² = 10

f(1) = 10 - 1² = 9 = f(-1) = 10 -(-1)²

....and so on.

5 0

3 years ago

Which ordered pair is a solution to the equation y=-2/5x+9

Vladimir79 [104]

Answer:

Step-by-step explanation:

i am not sure i but i think it is

6 0

3 years ago

Which of the following is written as a rational function?

Brrunno [24]

We have to identify the rational function among the given functions.

Rational function is a function that is the ratio of two polynomials. It is rational because one polynomial is divided by the other polynomial, like a ratio.

1. Consider the first function $G(x)= -2x$ , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

2. Consider the second function $P(x)= 3x+4$ , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

3. Consider the third function $Q(x)= x^2-8x+1$ , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

4. Consider the fourth function $F(x)= \frac{x+2}{5x}$ , since it is a function that is the ratio of two polynomials (x+2) and (5x). So, it is a rational function.

So, Option D is the correct answer.

6 0

2 years ago

Read 2 more answers

Enter the values for m, n, and p that complete the difference:

inessss [21]

Answer:

p = 2

n = 14

m = 3

Step-by-step explanation:

In order to be able combine (either add or subtract) rational expressions we need to write them with a common (similar) denominator. For that reason we first find the Least Common Denominator of both fractions, that way understanding how to express the two fractions using equivalent fractions with like denominator that can be combined.

We see that the denominator of the first fraction contains the factor "x", therefore "x" has to be a factor of that least common denominator.

We also see that the second fraction contains "2" as a factor, therefore 2 has to be a factor as well for our Least Common Denominator (LCD)

So the LCD we need is the product: 2*x which we write as 2x.

Now we write the first fraction as an equivalent one but with denominator "2x" by multiplying top and bottom by 2 (and thus not changing the actual value of the fraction): $\frac{7}{x} =\frac{7*2}{x*2} =\frac{14}{2x}$