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2 years ago

Y=10^x +6 find the inverse

Mathematics

1 answer:

VashaNatasha [74]2 years ago

7 0

$y=10^x+6\\10^x=y-6\\x=\log_{10}(y-6)\\\\f^{-1}(x)=\log_{10}(x-6)$

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2. Four pieces of candy are drawn at random from a bag containing five orange pieces and seven brown pieces.

alexandr402 [8]

Answer:

a) $12C4 = \frac{12!}{4! (12-4)!}= \frac{12!}{4! 8!}=\frac{12*11*10*9*8!}{4! 8!}= 495$ ways

b) $5C2 = \frac{5!}{2! (5-2)!}= \frac{5!}{2! 3!}=\frac{5*4*3!}{2! 3!}= 10$ ways

c) $7C2 = \frac{7!}{2! (7-2)!}= \frac{7!}{2! 5!}=\frac{7*6*5!}{2! 5!}= 21$ ways

Step-by-step explanation:

Combinatory means combination or arrangement of different elements.

If we have n total elements and we want to find in how many ways we can select x we can use this general formula:

$nCx= \frac{n!}{x! (n-x)!}$

Where $n! = n *(n-1)!$

a. How many different ways can four pieces be selected from the 12 colored pieces?

For this case we have:

$12C4 = \frac{12!}{4! (12-4)!}= \frac{12!}{4! 8!}=\frac{12*11*10*9*8!}{4! 8!}= 495$ ways

b. How many different ways can two orange pieces be selected from five orange pieces?

For this case we have:

$5C2 = \frac{5!}{2! (5-2)!}= \frac{5!}{2! 3!}=\frac{5*4*3!}{2! 3!}= 10$ ways

c. How many different ways can two brown pieces be selected from seven brown pieces?

For this case we have:

$7C2 = \frac{7!}{2! (7-2)!}= \frac{7!}{2! 5!}=\frac{7*6*5!}{2! 5!}= 21$ ways

6 0

4 years ago

A ball is dropped from the top of a building.

Marat540 [252]

Answer:

D because if the ball already dropped all the potential energy from the height has been used

8 0

3 years ago

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F(x)= 13,500 .89x, is this growing or decay

Oksanka [162]

I hope and think it’s 12015
Because this what I did I (.89)x
And x = 13500 and I got 12015

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4 years ago

Find the intervals on which f(x)=2xx2+64 increases.

Shtirlitz [24]

f(0)=64, f(1)=66, f(2)=72, f(3)=82, f(4)=96,...=2,6,10,14,...=2{1,3,5,7,...}
This can be written 2{2x+1}, so the intervals on which f(x) increases are 4x+2.

4 0

3 years ago

I really need help with this question! And I need to show work

krek1111 [17]

Answer:

x=0.25 or -1/4

Step-by-step explanation:

120x + 21 = -9

120x = -30 (-21 from both sides of equation)

x = -0.25 or -1/4 (divide 120 from both sides of equation)

3 0

3 years ago

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