All categories

3 years ago

If f(x) = ||x|| , find f(−14)

Mathematics

2 answers:

tino4ka555 [31]3 years ago

4 0

Answer:

f(-14) = 14

Step-by-step explanation:

Given

f(x) = ||x||

The ||..|| sign represents the double modulus sign or sign of double absolute value.

The absolute value of any number returns the positive value of that number.

To solve this, we first find the inner modulus or absolute value then we find the outer modulus,

If f(x) = ||x||

Then f(x) = |(|x|)| where |x| represents the inner modulus;

To find f(-14).

The inner modulus is |-14|; This returns positive 14

|-14| = 14

Then we solve for the outer modulus (even though it doesn't change anything)

|14| = 14

So, f(-14) = |(|-14|)|

f(-14) = |14|

f(-14) = 14

bogdanovich [222]3 years ago

3 0

Answer:

Step-by-step explanation:

f(-14) = ||-14|| = |14| = 14

You might be interested in

Which equation represents a line that passes through (–2, 4) and has a slope of ? y – 4 = 2/5(x + 2) y + 4 = 2/5(x – 2) y + 2 =

valentinak56 [21]

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ -2}}\quad ,&{{ 4}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{2}{5}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-4=\cfrac{2}{5}[x-(-2)]
\\\\\\
y-4=\cfrac{2}{5}(x+2)$

7 0

3 years ago

Keisha, Boris, and Jose sent a total of 126 text messages over their cell phones during the weekend. Boris sent 4 times as many

tangare [24]

Answer:

Boris=504 keisha=120

Step-by-step explanation:

First you would start off by Multiplying 4x126 the result of that is= 504 so thats how much Boris sent. To get the answer to how many jose sent you simply just subtract 6-126 and that should result in 120

5 0

3 years ago

Given limit of f (x) = 4 as x approaches 0. what is limit of one-fourth left-bracket f (x) right-bracket superscript 4 baseline

Otrada [13]

The limit of the given function if $\lim_{x \to 0} f(x)=4$ is 64

<h3>Limit of a function</h3>

Given the following limit of a function expressed as;

$\lim_{x \to 0} f(x)=4$

We are to determine the value of the function

$\frac{1}{4} \lim_{x \to 0} [f(x)]^4$

This can also be expressed as

$\frac{1}{4} \lim_{x \to 0} [f(x)]^4\\ = \frac{1}{4}(4)^4 \\=1/4\times 256\\=64$

Hence the limit of the given function if $\lim_{x \to 0} f(x)=4$ is 64

Learn more on limit of a function here: brainly.com/question/23935467

#SPJ1

4 0

1 year ago

Which of the following sets of numbers is not a Pythagorean triple?

leonid [27]

10 15 20 since i am pretty sure the rest are a triple(definitely 3 4 5 and 7 24 25 is a triple0

4 0

3 years ago

Read 2 more answers

Assume that the random variable X is normally distributed, with mean 60 and standard deviation 16. Compute the probability P(X &

elixir [45]

Answer:

P(X < 80) = 0.89435.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 60, \sigma = 16$

P(X < 80)

This is the pvalue of Z when X = 80. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{80 - 60}{16}$

$Z = 1.25$

$Z = 1.25$ has a pvalue of 0.89435.

P(X < 80) = 0.89435.

5 0

3 years ago