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FromTheMoon [43]
3 years ago
13

TEN POINTS !!!!! if f(x)=x^2-6x and g(x)=x^3 squared what is (fog) (x)

Mathematics
1 answer:
Elena L [17]3 years ago
5 0

Answer:

f(x) = x² - 6x

g(x) = (x³)² = x^6

( f o g) x

Wherever you see x in f(x) replace it by g(x)

That's

( f o g)(x) = (x^6)² - 6(x^6)

= x^12 - 6x^6

Hope this helps

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How many five-card hands (drawn from a standard deck) contain exactly three fives? (A five-card hand is any set of five differen
VashaNatasha [74]

Answer:

4512.

Step-by-step explanation:

We are asked to find the number of five-card hands (drawn from a standard deck) that contain exactly three fives.

The number of ways, in which 3 fives can be picked out of 4 available fives would be 4C3. The number of ways in which 2 non-five cards can be picked out of the 48 available non-five cards would be 48C2.

4C3=\frac{4!}{3!(4-3)!}=\frac{4*3!}{3!*1}=4

48C2=\frac{48!}{2!(48-2)!}=\frac{48*47*46!}{2*1*46!}=24*47=1128

We can choose exactly three fives from five-card hands in 4C3*48C3 ways.

4C3*48C3=4*1128=4512

Therefore, 4512 five card hands contain exactly three fives.

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3 years ago
PLS HELP ASAP. QUESTION IN PICTURE
Anuta_ua [19.1K]

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Step-by-step explanation:

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"The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle"

In this case the exterior angle is 120 degrees, basically what the theorem states is that it the angle that you see outside the triangle equals the angle measurements of the 2 angles opposite of it, so just create an equation because you know 2 of the variables

120=70+x

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Angle x = 50 degrees

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