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irina1246 [14]
4 years ago
11

This is the new one! Please help I’m so lost

Mathematics
1 answer:
raketka [301]4 years ago
3 0

Answer:

(a) (f o g)(x) =  x^2 - 15x + 54

(b) (g o f)(x) = x^2 + 3x - 9

(c) (f o f)(x) = x^4 + 6x^3 + 12x^2 + 9x

(d) (g o g)(x) = x - 18

Step-by-step explanation:

f(x) = x^2 + 3x

g(x) = x - 9

(a)

(f o g)(x) = f(g(x)) = (g(x))^2 + 3(g(x)) = (x - 9)^2 + 3(x - 9)

(f o g)(x) = x^2 - 18x + 81 + 3x - 27

(f o g)(x) = x^2 - 15x + 54

(b)

(g o f)(x) = g(f(x)) = f(x) - 9 = x^2 + 3x - 9

(c)

(f o f)(x) = f(f(x)) = (x^2 + 3x)^2 + 3(x^2 + 3x)

(f o f)(x) = x^4 + 6x^3 + 9x^2 + 3x^2 + 9x

(f o f)(x) = x^4 + 6x^3 + 12x^2 + 9x

(d)

(g o g)(x) = g(g(x)) = x - 9 - 9 = x - 18

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Student council is raising money for a homeless shelter in the community. Earlier in the year, they had raised 710 for the chari
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Answer: 790

Step-by-step explanation:

From the question, we are informed that student council is raising money for a homeless shelter in the community and that earlier in the year, they had raised 710 for the charity.

We are further told that the club then held a raffle to raise funds and after the raffle,they were able to donate a total of 1,500.

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3 years ago
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Answer:       3x+y=-9

Step-by-step explanation:

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Mow you have to move your x over because standard form is Ax+By=C

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PLEASE HELP!!
inn [45]
You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²) b = 9.16
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Step-by-step explanation:

15 + 17 + 23 + 19

32 + 42 = 74

74/4 = 18.5 is the mean

8 0
3 years ago
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