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BaLLatris [955]
2 years ago
15

F(x)=∣x∣

Mathematics
1 answer:
elixir [45]2 years ago
5 0

Answer:

Step-by-step explanation:

There are two transformations, one vertical, one horizontal.

The + 9 part outside the absolute value sign moves the graph up 9 units.

Replacing  x  with  x - 1 moves the graph right 1 unit.

<em>Comment:</em>  The horizontal shifts sometimes appear backwards:  x - 1 looks like a shift to the left, but it's not.

Example:  f(4) = |4| = 4.  To get the same output (4) from g(x), you have to use a value for  x  that is 1 unit <u>larger</u> than 4.  g(5) = |5 - 1| = 4.

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Explain how you can use multiplication to find the quotient 3/5 divided by 3/15. Then evaluate the expression
sveta [45]

when you divide 2 fractions, you reverse the second fraction then use multiplication


3/5 divided by 3/15 becomes

3/5 x 15/3 = 45/15 = 3

3 0
3 years ago
Which of the following is a non-real complex number?
Nat2105 [25]
A I think Sorry if it’s wrong
8 0
3 years ago
Mr. Clark traveled 456.4 km in 14 days.
xeze [42]

\qquad \qquad\huge \underline{\boxed{\sf Answer}}

<h3><u>Distance travelled each day is</u> : </h3>

  • 32.6 km

<h3><u>Explanation</u> : </h3>

Distance travelled in 14 days is : 456.4 km

And if he travels same Distance each day, so let the Distance travelled on each day be x

According to question ~

\qquad \sf  \dashrightarrow \: 14 \times x = 456.4

\qquad \sf  \dashrightarrow \: x = 456.4 \div 14

\qquad \sf  \dashrightarrow x = \: 32.6  \: \: km

So, he travels 32.6 km per day

5 0
2 years ago
When using the rational root theorem, which of the following is a possible root of the polynomial function below f(x)=x^3-5x^2-1
uranmaximum [27]

Answer:

\Large \boxed{\sf \ \ 7 \ \ }

Step-by-step explanation:

Hello, please consider the following.

The polynomial function is

x^3-5x^2-12x+14

The rational root theorem states that each rational solution

   x=\dfrac{p}{q}    

, written in irreducible fraction, satisfies the two following:

   p is a factor of the constant term

   q is a factor of the leading coefficient

In this example, the constant term is 14 and the leading coefficient is 1. It means that p is a factor of 14 and q a factor of 1.

Let's proceed with the prime factorisation of 14:

14 = 2 * 7

Finally, the possible rational roots of this expression are :

   1

   2

   7

   14

and we need to test for negative ones too

   -1

   -2

   -7

   -14

From your list, the correct answer is 7.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0
4 years ago
Joshua bought a variety of peppers at the market.
lys-0071 [83]
The answer is 9.92 pounds
5 0
3 years ago
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