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PilotLPTM [1.2K]
3 years ago
7

C an some one help me​

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
8 0

Answer:

b

Step-by-step explanation:

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Let f(x) = -20x2 + 14x + 12 and g(x) = 5x - 6. Find f/g and state its domain.
UkoKoshka [18]

Solution

f(x) = -20x^{2} +14x + 12 and g(x) = 5x - 6.

(f/g)(x) = \frac{f(x)}{g(y)}

(f/g)(x) = \frac{-20x^{2}+14x +12 }{5x - 6}

<u>Step 1: </u>Now we have to factorize the numerator.

f(x) = -20x^2 + 14x + 12

Factor out -2, we get

= -2 (10x^2 - 7x - 6)

Now we can factorize 10x^2 - 7x - 6                  

f(x) = -2(2x + 1) (5x - 6)

<u>Step 2: </u>Plug in the factors

(f/g)(x) = \frac{-2 (2x +1)(5x - 6)}{(5x - 6)}

<u>Step 3:</u> Cancel out the common factor (5x - 6) from the numerator and the denominator, we get

(f/g)(x) = -2(2x +1) = -4x -2

Since -4x -2 is linear expression, the domain is all the real numbers.

Therefore, the answer is –4x – 2; all real numbers

Thank you :)

4 0
3 years ago
A tank with capacity T gallons is empty. If water flows into the tank from pipe X at the rate of X gallons per minute, and water
Andrej [43]

A tank with capacity T gallons is empty. Tank will be filled in \frac{t}{(x - y)} minutes

<u>Solution:</u>

Given, A tank with capacity T gallons is empty.  

We have to find how many minutes will tank be filled?

Now, Water flows into the tank from pipe X at the rate of X gallons per minute,  

And water is pumped out by pipe Y at the rate Y gallons per minute,  

Then, together in one minute the amount of water filled will be x – y gallons  [as X is greater than Y]

Now, the time take to fill tank = =\frac{\text { capacity of tank }}{\text { amount of water filled per minute }}=\frac{t}{x-y}

Hence tank will be filled in \frac{t}{(x - y)} minutes

6 0
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It is 11 a.m. in the Eastern Time Zone; therefore, what time is it in the Pacific Time Zone
lana66690 [7]
Pacific time is 3 hours before Eastern time so subtract 3 hours from 11:00 am and you get 8:00 am
6 0
3 years ago
The graph of f(x) is shown.
Aleks04 [339]

Answer:

IDK if you still need this but it's A

Step-by-step explanation:

I just took the quiz and got it right :)

3 0
3 years ago
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Multiply <br> (5x-1)(6x^2+3x+7)<br><br> SHOW WORK
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sorry for using printed paper, I tried my best to avoid the lines

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