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IgorLugansk [536]
3 years ago
6

If f(x)=x+2 and g(x)=3x^2+7x find (f x g)(x)

Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0

Answer:

3x³ + 13x² + 14x

Step-by-step explanation:

(f × g)(x)

= f(x) × g(x)

= (x + 2)(3x² + 7x)

= x(3x² + 7x) + 2(3x² + 7x) ← distribute parenthesis

= 3x³ + 7x² + 6x² + 14x ← collect like terms

= 3x³ + 13x² + 14x

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the sum of two numbers is 45. the greater number is 9 more than the other number. Find each number. use a system of linear equat
SpyIntel [72]

Answer:

18 and 27

Step-by-step explanation:

Let x = first (smaller) number

Let y = second (larger) number

Sum of two numbers is 45:

⇒ x + y = 45

The greater number is 9 more than the other number:

⇒ y = x + 9

Substitute  y = x + 9  into  x + y = 45  and solve for x:

⇒ x + (x + 9) = 45

⇒ 2x + 9 = 45

⇒ 2x = 36

⇒ x = 18

Substitute found value for x into  y = x + 9  and solve for y:

⇒ y = 18 + 9

⇒ y = 27

Therefore, the two numbers are 18 and 27

5 0
2 years ago
Read 2 more answers
Given mn, find the value of x.<br> 108
adoni [48]

Answer:

72 degrees

Step-by-step explanation:

Referencing off of line t being a straight line, a straight line is 180 degrees. If you subtract 108 from 180, you would get 72. Since this intersecting line is going through 2 paralel lines, the 2 groupings of angles reflect each other.

3 0
3 years ago
In standard form: (x+5)(3x-1)-(x-4)^2
denpristay [2]
I hope this helps you



x.3x+x.(-1)+5.3x+5.(-1)-(x^2-2.4.x+16)


3x^2-x+15x-5-x^2+8x-16


2x^2+22x-21
6 0
3 years ago
Read 2 more answers
It takes omar four minutes to eat eight carrots sticks. how long does it take him to eat one ?
astra-53 [7]
It takes Omar 30 seconds to eat one considering he ate 8 in 4 minutes ...

If we really wanted to we could turn this into the fraction 8/4
8 being the amount of carrot sticks he ate and 4 being the time it took
now all u have to do is simplify that turns into 2/1 and since the 1 is one minute and her can eat 2 in one minute we can safely say he eats 1 carrot stick every 30 seconds 

:) hope this helps!!

5 0
3 years ago
Help me wiht this plssss
yulyashka [42]

Answer:

well you find. out how many all of them measure. and add them and then that answer multiply of the main number

Step-by-step explanation:

first add up all of the lengths and then find that answer multiply it to the main number and then you will get your anwer it's a 2 step problem

7 0
2 years ago
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