What is the domain and range of f(x)= |x-6|

Mathematics

1 answer:

marissa [1.9K]3 years ago

7 0

Domain: possible x values
Range: possible y values

Solution: domain: all real numbers
Range: y greater than 0

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Simplify $\frac{-10a^2b^4}{5a^{-9}b^{-5}}$

r-ruslan [8.4K]

$\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\
-------------------------------\\\\
\cfrac{-10a^2b^4}{5a^{-9}b^{-5}}\implies \cfrac{-10}{5}\cdot \cfrac{a^2b^4}{a^{-9}b^{-5}}\implies \cfrac{-2}{1}\cdot \cfrac{a^2a^9b^4b^5}{1}
\\\\\\
-2a^{2+9}b^{4+5}\implies -2a^{11}b^9$

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3 years ago

A scale on a hiking map shows that 3 inches represents 1.25, miles.

daser333 [38]

Answer:

415

Step-by-step explanation:

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3 years ago

The population of Jacobtown is 14,312 and the population of Waltterville is 8,944. What is the combined population of Jacobtown

dedylja [7]

Answer:

23,356

Step-by-step explanation:

You have to add 14,312 and 8,944 to get the total population.

8 0

3 years ago

Solve the system of equations by graphing: x = -2 and 3x + 2y = -4

larisa86 [58]

3 x -2 = -6

-6 + 2y = -4
+6. +6

2y = 2
--------------
y = 1

your answer should be A (-2, 1)

I hope this helped!

7 0

3 years ago

△WPJ∼△DNJ<br> What is PWPW ?<br> Enter your answer in the box.

Kruka [31]

Use <em>CPCTC</em> and make ratios and proportionalities to find the value of segment PW:

If △WPJ∼△DNJ, then according to CPCTC, WP must be proportional to DN and PJ must be proportional to JN. Now, we can make a ratio:

$\frac{WP}{DN}= \frac{PJ}{NJ}$

Substitute the values that are given in the diagram.
DN=87.5
NJ=56
PJ=64

$\frac{WP}{87.5}= \frac{64}{56}$

Solve for x. You can do it by cross-multiplication.

$\frac{WP}{87.5}= \frac{64}{56} \\ 56*WP=64*87.5 \\ 56*WP=5600 \\ WP=100$

The measure of segment WP is 100 meters.

5 0

3 years ago