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Anna [14]
3 years ago
12

Given that f(x) = x² + 6x and g(x) = x + 9 calculate a) f•g (4) = B) g•f (4) =

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0

Answer:

247

49

Step-by-step explanation:

a) f•g (4) =

f•g (x) =  f(g(x)) = (x + 9)^2 + 6(x + 9)

f•g (4) =  (4 + 9)^2 + 6(4 + 9)

= 13^2 + 6(13)

= 247

B) g•f (4) =

g•f (x) = g(f(x)) = x^2 + 6x + 9

g•f (4) = 4^2 + 6(4) + 9

= 16 + 24 + 9

= 49

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almond37 [142]

Answer:

thx-step explanation:

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3 years ago
Leonard and Liam each own a collection of vintage cars. Leonard has 7 cars more than Liam has. Three times the number of cars Le
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Answer: The answer is (22, 15).

Step-by-step explanation:  Given that 'x' represents the number of cars Leonard has and 'y' represents the number of cars Liam has.

Then, according to the given information, we have

x-y=7,\\\\3x+2y=96.

Multiplying the first equation by 2 and adding to the second equation, we have

2x+3x=14+96\\\\\Rightarrow 5x=110\\\\\Rightarrow x=22.

So,

y=x-7=22-7=15.

Therefore, Leonard has 22 cars and Liam has 15 cars.

Thus, (22, 15) is the solution to the given system.

5 0
3 years ago
Read 2 more answers
13+x+195=13(x+15)...
LUCKY_DIMON [66]
First, let's expand the right side.  Now our equation is

13+x+195=13x+195

Now, we gather all the terms with x in it on the left side, and the numbers without x on the right.  We get:

-12x=-13

And then we can make this

12x=13

We divide both sides by 12 to get x on its own, so x = 13/12 or 1.08
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3 years ago
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What is the solution to the system of equations y = -x - 5 and y = 2x + 4
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Answer:

(-3,-2)

Step-by-step explanation:

y = -x - 5

y = 2x + 4

plug in one of the y equations

(2x+4)= -x - 5

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x= -3

plug in x to one of the y equations

y= -(-3) -5

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x= -3, y= -2

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3 years ago
Help pls... 20 points
jok3333 [9.3K]
Honestly I don't know congruent so congrats I can't answer sorry
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3 years ago
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