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telo118 [61]
2 years ago
9

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
Read 2 more answers
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Oksanka [162]
I hope and think it’s 12015
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And x = 13500 and I got 12015
8 0
4 years ago
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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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