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shepuryov [24]
3 years ago
5

Regla de correspondencia de f(x)=5x+4​

Mathematics
1 answer:
nika2105 [10]3 years ago
3 0

Answer:

Step-by-step explanation:

Regla why f = 5x +4. Question

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For f(x) = 3x - 1 and g(x) = x+2, find (f – g)(x).
kobusy [5.1K]
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
</span></span></span></span>

7 0
3 years ago
Solve for xif mZRQS = 2x+4 and mZTQS = 6x+ 20.<br> 180<br> 19.5<br> -4<br> 90
Likurg_2 [28]

Answer:

x= -4

Step-by-step explanation:

2x+4=6x+20

so 2x-6x=20-4

divide both sides by -4

-4x/-4 = 16/4

=-4

7 0
3 years ago
A researcher interested in vocabulary development obtains a sample of twenty 3-year old children to participate in a research st
Andreyy89

Answer: b) statistic

Step-by-step explanation:

  • Population = A large groups of individuals sharing the same or similar characteristic by the point og study.
  • Sample  = It is a subset of population .
  • Parameter = It is measure of characteristic in population.
  • Statistic =  It is measure of characteristic in sample.

Since the average score was taken by the group of 20 which is nothing but the sample.

That means, the average score is an example of<u> statistic</u>.

Hence, the correct option is b) statistic .

4 0
2 years ago
A mean average of 70 or better on five exams is needed for a final grade of C. Jeffery Matthews first four exam grades are 75, 6
erastova [34]

Answer:38

Step-by-step explanation:

3 0
3 years ago
A garden hose emits 9 quarts of water in 6 seconds how much did the water emit in 10seconds
jarptica [38.1K]

Answer:

In 10 seconds, the garden hose will emit 15 quarts of water.  

Step-by-step explanation:

The amount of water emitted by the garden hose over time can be expressed as a ratio:  9/6, or 9 quarts of water for every 6 seconds of time.  We can then simplify this ratio to 3/2, or 3 quarts of water for every 2 seconds of time.  Since the ratio will remain constant, or the same, over time, we can set up an equivalent ratio, or fraction to find the amount of water emitted in 10 seconds:  3/2 = x/10.  We look at the denominators and see that 2 x 5 = 10.  In order to make the ratios equivalent, we would also multiply the numerator by 5:  3 x 5 = 15, which gives us the amount of water emitted in 10 seconds.  

7 0
2 years ago
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