Well, I bet you want your answer right away! So here it is.
<span>Given <span>f (x) = 3x + 2</span> and <span>g(x) = 4 – 5x</span>, find <span>(f + g)(x), (f – g)(x), (f × g)(x)</span>, and <span>(f / g)(x)</span>.</span>
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
<span>\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}<span><span>(<span><span>g</span><span>f</span><span></span></span>)</span>(x)=<span><span><span>g(x)</span></span><span><span>f(x)</span></span><span></span></span></span></span><span>= \small{\dfrac{3x+2}{4-5x}}<span>=<span><span><span>4−5x</span></span><span><span>3x+2</span></span><span></span></span></span></span>
My answer is the neat listing of each of my results, clearly labelled as to which is which.
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
<span>\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}<span><span>(<span><span>g</span><span>f</span><span></span></span>)</span>(x)=<span><span><span>4−5x</span></span><span><span>3x+2</span></span><span>
Hope I helped! :) If I did not help that's okay.
-Duolingo
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Answer:
1245 a.m. is 0045 and 12:45 p.m. is 1245
Step-by-step explanation:
Midnight starts with 0000 and each hour until 1 p.m. starts with the actual hour number; 1 p.m. starts with 1300 and each hour thereafter adds another 100 (2 p.m. is 1400 etc.) with it ending at 2359 one minute before midnight.
A. No matter how many times you spin it, the number of outcomes never changes - you'll always get 1 of 4 colors. Hope I could help!
rrriok, the house of... idk
Answer: y = 0.4x
In fraction form, this is y = (2/5)x
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Explanation:
For each row, divide the y over x values
- Row One: y/x = 0.8/2 = 0.4
- Row Two: y/x = 4/10 = 0.4
- Row Three: y/x = 6/15 = 0.4
- Row Four: y/x = 10/25 = 0.4
We end up with the same thing each time.
Since y/x = 0.4, this rearranges to y = 0.4x
Alternatively, you can write the equation as y = (2/5)x because 2/5 = 0.4
This can be done easily in a few ways. One, you could do equivelent fractions as this. 16 percent is the same as 16 over 100, or, 16/100, 100 being the total with an = sign with X over 550, or, X/550. you can multiply 16 by 500 and divide by 100 to get $88. Or you could do it my way, (prefered way). take the $550, divide it by 100, then multiply by 16 and get $88. either way you do this, you take away the $88 from $550 and get the sale price of [Drumroll please...]
<em><u>462 Dollars!</u></em>
