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sp2606 [1]
2 years ago
5

Peter is 8 years younger than Alex. In 9 years time, the sum of their ages will be 76 . How old is Alex now?

Mathematics
2 answers:
Lera25 [3.4K]2 years ago
5 0

Answer:

Peter is a-8 in 9 years, (a-8)+ 9+ a+ 9= 76

Margaret [11]2 years ago
3 0

Answer:

P = 25

A = 33

Step-by-step explanation:

P + 8 = A

P + 9 + A + 9 = 76

P + A = 58

~~~~~~~~~~~~~~

P = 58 - A

P = 58 - P - 8

2 P = 50

P = 25

A = 33

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Which expression represents the composition [g o f o h](x) for the functions below?
asambeis [7]

Answer: 16875x³-13500x²+3600x-320

Step-by-step explanation:

[gοfοh](x) means g(f(h(x))). So you plug in h(x) into f(x) and that into g(x).

f(3x)=5(3x)-4=15x-4

g(f(3x))=5(15x-4)³

g(f(3x))=5(3375x³-2700x²+720x-64)

g(f(3x))=16875x³-13500x²+3600x-320

5 0
3 years ago
You thought the balance in ur cheking account was $68. When your bank statement arrives, you realize that you forgot to record a
goldenfox [79]
68-26=42

Answer is $42
7 0
3 years ago
When it was 70 degrees outside, 50 members showed up at a beach club. For each degree the temperature rose, another 10 members c
strojnjashka [21]

The function f(t), that represents the number of members at the beach club as a function of the temperature is f(t) = 10t + 50

<u>Solution:</u>

Given that, When it was 70 degrees outside, 50 members showed up at a beach club.  

For each degree the temperature rose, another 10 members came to the beach club.  

We have to write the function, f(t), that represents the number of members at the beach club as a function of the temperature.

Now, according to the given information,  

Initially 50 members and then, members keep on adding by rise in temperature,

So, 50 + t x 10  [ t represents change in temperature, and 10 is number of people who joins club ]

Then, f(t) = 10t + 50.

Hence, the function is f(t) = 10t + 50

3 0
3 years ago
If h(x)=(f o g) (x) and h(x)= ∛x+3, find g( x) if f(x)= ∛x+2 (picture attached)
Aleksandr-060686 [28]

Answer:

g(x) = x+1

Step-by-step explanation:

Informally, you can see that the function h(x) takes the root of a value that is 1 more than the value under the same radical in f(x). This suggests that adding 1 to x in f(x) will give you h(x). That is, ...

h(x) = f(x+1) = f(g(x))

so

g(x) = x+1

_____

More formally, you can apply the inverse of the function f(x) to the equation ...

h(x) = f(g(x))

f^-1(h(x)) = f^-1(f(g(x))) . . . inverse function applied

f^-1(h(x)) = g(x) . . . . . . . . . simplified

Now f^-1(x) can be found by solving for y in ...

x = f(y)

x = ∛(y+2) . . . . . . . . . definition of f(y)

x^3 = y+2 . . . . . . . . . cube both sides

x^3 -2 = y = f^-1(x) . . . subtract 2 from both sides

So, f^-1(h(x)) is ...

f^-1(h(x)) = g(x) = (∛(x+3))^3 -2 = x+3 -2

g(x) = x+1

5 0
3 years ago
Please Please Help Me
Stella [2.4K]

Answer:

-3√3

Step-by-step explanation:

try that

3 0
3 years ago
Read 2 more answers
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