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Vikki [24]
3 years ago
11

Simplify and state the domain for x^2-x-12/x-4​

Mathematics
1 answer:
saw5 [17]3 years ago
8 0

The domain of a function is the set of input values the function can take

The domain is all set of real numbers

<h3>How to determine the domain</h3>

The expression is given as:

\frac{x^2 - x - 12}{x - 4}

Factorize the numerator of the expression

\frac{(x - 4)(x + 3)}{x - 4}

Simplify: Cancel out the common terms

x + 3

The above expression can take any value of x.

Hence, the domain is all set of real numbers

Read more about domain at:

brainly.com/question/2264373

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A balloon artist creates balloon hats for children at a store’s grand opening. The graph shows the number of balloons the artist
Dvinal [7]

Answer:

The phrase that best describes the the line representing the relationship between the number of balloons remaining and the number of hats created is:

  • Negative slope.
  • Constant slope.
  • Decreasing function.

Step-by-step explanation:

We are given a graph that represents the relationship between the Number of Balloons Hats and the number of balloons remaining.

Clearly from the graph we could that it is  a linear function.

Also, the function is a decreasing function since with the increase of one variable that is the number of Balloon hats produced the other variable i.e. Balloons remaining is decreasing.

Also, we can calculate the slope of the line.

as the line is passing through (0,500) and (100,0)

Hence, the slope of line is:

Slope=\dfrac{0-500}{100-0}\\\\Slope=\dfrac{-500}{100}\\\\Slope=-5

Hence, the graph has a negative slope.

Also, we know that a slope of a line is always constant.

So, the correct statements are:

Negative slope.

Constant slope.

Decreasing function.

5 0
3 years ago
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Explain how you would decide which unit is best for measuring your math book
Ilya [14]
I would decide which unit to use to measure my math book by looking at the size. Dont use feet on a small book
7 0
3 years ago
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Can you help me with this
ahrayia [7]

Step-by-step explanation:

1. YES

2. YES

3. YES

4. NO

this is a decimal that neither terminates nor repeats.

5 0
3 years ago
a. Determine whether f is a bijection function. Briefly explain. f colon spaceX rightwards arrow R comma space f (x )space equal
gladu [14]

Answer and Step-by-step explanation:

Solution:

(a) f is bijection function such that:

given function :         f: x → R,  and  f(x) = cube root of x

a bijective function is one to one correspondence, each element of one set is paired with exactly one element of other set. And each element of other set paired with exactly one element of first set.

The domain of cube root function is the set of all real numbers.

A cube root can use all real numbers because it is possible for three negative to equal a negative.

(b) the domain of function:

f: x → R,  and  f(x) = 2 square root of x

a square root function contain a radical, since the radical cannot be negative, we can calculate for positive or zeroes value.

The domain of a function is its range.

Range of function is all valid outputs of that function.

square root is greater than or equal to zero so we use only nonnegative numbers in square root.

For square root function, range of function is values produced .x results in a radicand that is equal to or greater than zero.

5 0
3 years ago
GIVING BRAINLEST AND THANK YOU AND FIVE STARS IF CORRECT, ANY FILE LINK IS INSTANT REPORT
Vitek1552 [10]

Answer:

true

Step-by-step explanation:

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