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Shkiper50 [21]
2 years ago
9

What is (f*g)(x)? f(x)=x^4-9, g(x)=x^3+9

Mathematics
1 answer:
sladkih [1.3K]2 years ago
3 0
(x^4 - 9)(x^3 + 9)
This is a binomial * binomial. Use the FOIL method for multiplying.
First, outer, inner, last.
x^4 * x^3 = x^7
x°^4 * 9 = 9x^4
-9 * x^3 = -9 x^3
-9 * 9 = -81
Putting it back together.
x^7 +9x^4 -9x^3 - 81
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1. A right triangle LMN is given where: side MN = 8 side NL (the hypotenuse) =
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Step-by-step explanation:

\underline{ \underline{ \text{Given}}} :

  • Length of MN ( Base ) = 8
  • Length of NL ( Hypotenuse ) = 10

\underline{ \underline{ \text{To \: find}}} :

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\underline{ \underline{ \text{Using \: pythagoras \: theorem}}} :

\boxed{ \sf{ {Hypotenuse}^{2}  =  {Perpendicular}^{2}  +  {Base}^{2} }}

⤑ \sf{  Perpendicular =  \sqrt{ {(Hypotenuse)}^{2}  -   {(Base)}^{2}  } }

⤑ \sf{ \sqrt{ {(10)}^{2}  -   {(8)}^{2}  } }

⤑ \sf{ \sqrt{100  -  64}}

⤑ \sf{ \sqrt{36}}

⤑ \boxed{ \sf{6\: units}}

\pink{ \boxed{ \boxed{ \tt{Our \: final \: answer :  \boxed{ \underline { \tt{6 \: units}}}}}}}

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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5 0
2 years ago
How many quarts are equal to 14 gallons?
murzikaleks [220]

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f(-3) = |-7|-5

f(-3) = 7-5

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Side Note: the vertical bars mean "absolute value" which represents distance. Negative distance makes no sense which is why absolute value results are never negative.

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