<h3>
Answer: 120</h3>
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Explanation:
There are 5 choices for the first selection, 4 choices for the second, etc etc until we reach 1 for the last selection. We have the countdown {5,4,3,2,1}. We'll multiply those values together to get our answer.
5*4*3*2*1 = 120
This operation of starting with some integer, counting down and multiplying along the way, is done so very often that it's given a name which is "factorial". The shorthand notation is to use an exclamation mark. So we'd say 5! = 120
Yes, there are! Hope this helps! Have a great day! :)
Answer:
x = 8/3
Step-by-step explanation:
3x + 16 = 24
3x = 24 - 16 (subtract 16 from both sides)
3x = 8
x = 8/3 (divide both sides by 3)
Answer:
A. (see Step-by-step explanation)
B. (-1, 4)
Step-by-step explanation:
<em>Since both functions are equal to </em><em>y</em><em>, we can set them equal to </em><u><em>each other.</em></u>
-x + 3 = 4x + 8
<em>Add the </em><em>x</em><em> to both sides (because it is negative on the left) and subtract the </em><em>8</em><em> from both sides (because it is positive on the right and we need to isolate the variable).</em>
-5 = 5x
<em>Divide both sides by 5 (because it is being multiplied to the </em><em>x</em><em>) to isolate </em><em>x</em><em>.</em>
x = -1
<em>Next, to solve for </em><em>y</em><em>, we can plug in </em><em>-1</em><em> for </em><em>x</em><em> in either equation from the beginning.</em>
y = -(-1) + 3
y = 1 + 3
y = 4
8/32
16/64
32/128
If you simplify all of these (divide by the greatest common factor), you will get 1/4
