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Paraphin [41]
4 years ago
10

For the functions f(x) = 2x − 6 and g(x) = 5x + 1, which composition produces the greatest output? A. Both compositions produce

the same output B. Neither composition produces an output. C. f(g(x)) produces the greatest output. D. g(f(x)) produces the greatest output.
Mathematics
1 answer:
o-na [289]4 years ago
8 0
F(g(x)) = 2(5x+1)-6 = 10x+2-6 = 10x-4

g(f(x)) = 5(2x-6)+1 = 10x-30+1 = 10-29

10x-4>10-29 because from f(g(x)) you subtract less quantity. 
The answer to your question is C. I hope that this is the answer that you were looking for and it has helped you.
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Find the missing factor 6s^2-7s-5=(3s-5)()
victus00 [196]
Answer: 2s + 1


Explanation:

1) Given expression: 6s² - 7s- 5 = (3s - 5) (        )

2) The missing factor (     ) is such that when it is multiplied by (3s - 5) the product is 6s² - 7s- 5.

3) Since the first term of the first factor starts with 3s, the first term of the second factor shall be 2s (since they have to yield 6s²). Then, you can write:

6s² - 7s- 5 = (3s - 5) (2s +    )

4) The second term of the missing factor is positive because the product (+)(-) = (-) which is the sign of the third term of the polynomial.

5) The second term is such that when multiplied by - 5 is equal to the last term of the polynomial (also - 5), so this second terms is +1.

And you get: 6s² - 7s- 5 = (3s - 5) (2s +  1)

6) You can expand, using distributive property to confirm the result:

(3s - 5) (2s +  1 ) =  (3s)(2s)  + (3s)(1) - (5)(2s) -(5)(1) =  6s² - 7s- 5, which confirms the result.
3 0
3 years ago
How do I find the area of this shape
vazorg [7]
There's two ways, you can either multiply 11 and 7 to get 77 and then divide by 2, OR, you can divide 11 by 2 and get 5.5 and multiply that by 7, hope this makes sense, if you don't understand just comment and I'll explain it more :)
4 0
3 years ago
Which number is the best approximation for 45√−23√ ?
Alona [7]
I'm pretty sure that that the answer is:
√45 - √23 = √22
because you just subtract what's inside the square root box.
3 0
4 years ago
Read 2 more answers
Simplify the expression of 3 <br> 162x^5y8/6x^2y^2
Blababa [14]

Answer:

Step-by-step explanation:

6 0
2 years ago
the phrase “is a function of” gets used in non-mathematical speech as well as mathematical mathematical speech in sentences like
Tanya [424]

Answer:

Step-by-step explanation:

This is a very interesting question. I'm going to answer no, but don't take that to mean that the question is not worthwhile. It is.

In math, function has the meaning of considering ordered pairs. Here are 4 such ordered pairs.

(1,2)

(2,4)

(1,-3)

(5,9)

They are really not related to one another except all are ordered pairs.

Here's the math definition. If one of the x values (1,2,1,5) has more than 1 y value, you do not have a function.

1 has 2 y values,  2 and -3. Therefore the 4 points do not form a function

if you change the first (1,__) to 0 and your ordered pair becomes (0,2), all is well and you do have a function.

Whether you understand this or not, you have to see that a math function and a biology function are very different. The math function has numbers and those numbers have to obey a rule.

The biology function seems to be saying that how your mom and dad brought you up will determine what foods you like.

Those two uses are very different. How your mom brought you up is related to food. It could be anything else like "Being a knife carrying gang member is a function of where you live."

4 0
3 years ago
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