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3 years ago

What is the value of ?

Mathematics

1 answer:

Ede4ka [16]3 years ago

5 0

Remember
$\frac{x^m}{x^n}=x^{m-n}$
and
$x^{-m}=\frac{1}{x^m}$

so
$\frac{3^2}{3^4}=3^{2-4}=3^{-2}=\frac{1}{3^2}=\frac{1}{9}$

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Find the slope of the line that passes through the points (-19, -4) and (13, -17).

Tasya [4]

Answer:

m = $\frac{-13}{32}$

Step-by-step explanation:

Two point slope formula = $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

$\frac{-17 + 4}{13 + 19} = \frac{-13}{32}$

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Which is the solution to the inequality? y minus 27 greater-than-or-equal-to negative 13 y greater-than-or-equal to negative 40

djyliett [7]

Answer:

$y\geq 14$

y greater than or equal to 14

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$y-27\geq -13$

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For each of the following, decide whether the description fits the SD or the SE.

Anna71 [15]

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tangare [24]

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3 years ago

A. f(x) = l-2xl - 3 Domain: {1, 2, 3} Find the range

gizmo_the_mogwai [7]

Hello there!

We are given the function:

$\displaystyle \large{ f(x) = | - 2x| - 3} \\$

To find the range, we know that domain is the set of all x-values and also called 'input' while range is the set of all y-values and also called 'output'.

Basic Function - you add the input, you get the output. You add x-value in a function, you get y-value. You add domain, you get range.

So, we substitute x = 1,2 and 3 in the function.

x = 1

$\displaystyle \large{ f(1) = | - 2(1)| - 3} \\ \displaystyle \large{ f(1) = | - 2| - 3} \\$

Recall that any numbers in absolute value are always positive.

$\displaystyle \large{ f(1) = 2 - 3} \\ \displaystyle \large{ f(1) = - 1} \\$

x = 2

$\displaystyle \large{ f(2) = | - 2(2)| - 3} \\ \displaystyle \large{ f(2) = | - 4 | - 3} \\ \displaystyle \large{ f(2) = 4 - 3} \\ \displaystyle \large{ f(2) = 1}$

x = 3

$\displaystyle \large{ f(3) = | - 2(3)| - 3} \\ \displaystyle \large{ f(3) = | - 6| - 3} \\ \displaystyle \large{ f(3) = 6 - 3} \\ \displaystyle \large{ f(3) = 3}$

Therefore, Range: {-1,1,3}

Let me know if you have any questions!

Topic: Absolute Value Function / Modulus Function

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3 years ago