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3 years ago

7Dx%2B5%3F" id="TexFormula1" title="What are the domain and range of the function f(x)=\frac{3}{4}x+5?" alt="What are the domain and range of the function f(x)=\frac{3}{4}x+5?" align="absmiddle" class="latex-formula">What are the domain and range of the function

Mathematics

1 answer:

jeka57 [31]3 years ago

8 0

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

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Keiko has seven colors of lanyard. She uses three different colors to make a keychain. How many different combinations can she c

AleksAgata [21]

Combination = doesn't matter what order
Permutation = order matters

There are <u>two</u> methods to work out combinations.

Method 1 List out possibilities
123 124 125 126 127 134 135 136 137 145 146 147 156 157 167
234 235 236 237 245 246 247 256 257 267
345 346 347 356 357 367
456 457 467
567

For a total of 35 combinations.

Method 2 Use a formula.
It's a rather complicated one, so only use it if you have a lot of possibilities.

$\frac{n!}{r!(n-r)!} = \frac{7!}{3!(7-3)!} = \frac{7!}{3!*4!} = \frac{7*6*5*4*3*2*1}{3*2*1*4*3*2*1} = \frac{7*6*5}{3*2*1}=\frac{210}6=35$

(n is the number of choices, r is the amount you choose, and ! is a function that multiplies together all numbers down to 1)

7 0

4 years ago

Write the espression 40w - 16, as a product with a whole number greater then one.

Blizzard [7]

$40w-16=8(5w-2)$