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777dan777 [17]
3 years ago
10

Given f(x)=3x-1and g(x)=2x-3, for which value of x does g(x)=f(2)?

Mathematics
1 answer:
Allisa [31]3 years ago
8 0
2x-3=3(2)-1
2x-3=5
2x=8
X=4
I think this is right :) not sure
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I need help need help with Geometry
Karo-lina-s [1.5K]

Answer:

D

Step-by-step explanation:

X is 21

z is the same as 111

y is 48

4 0
3 years ago
Tossing a regular coin 3 times, what is the probability of getting heads every time? 4)
larisa [96]

The probability of getting heads on the first toss is  1/2 .

Then, the probability of getting heads on the second toss is  1/2 .

Then, the probability of getting heads on the third toss is  1/2 .

The probability of all three things happening is ...

                 (1/2) x (1/2) x (1/2)  =  1/8  =  0.125  =  12.5% .



6 0
3 years ago
Read 2 more answers
Determine whether the sequence converges or diverges. If it converges, give the limit.
vaieri [72.5K]

Answer:

The given series converges and \lim_{n \to \infty} a_n =0

Step-by-step explanation:

Given is 108, -18, 3,...

It is an alternate series. An alternate series is convergent if:

1. The series is decreasing.

2. If the last term (n-th term) of series converges to 0.

<u>Since each next term is less than its preceding term, so it is decreasing.</u>

First term, a = 108

Second term = -18

Common ratio, r = -18/108 = -1/6

General term, aₙ = a*rⁿ = 108*(-1/6)ⁿ

<u>When n increases to infinity, the exponent term will decreases to zero, and last term (n-th term) will converge to 0 as well.</u>

Hence, the given series converges.

Now limit will be: \lim_{n \to \infty} a_n

\lim_{n \to \infty} 108*(-1/6)^n \\= 108*(-1/6)^\infty \\= 108*(1/\infty) \\= 108*0 \\= 0

Hence, \lim_{n \to \infty} a_n =0

7 0
3 years ago
Lf f(x) = 5x, what is f^-1(x)?
Nonamiya [84]

Answer: f^{-1}(x)=\frac{x}{5}

Step-by-step explanation:

By definition the domain of an inverse function f^-1(x) is the range of f(x) and the range of the inverse function is equal to the domain of the principal function f(x).

If you have a function f(x)=5x, then to find the inverse function, follow these steps:

1. Make y=f(x)

 f(x)=y=5x

 y=5x

2. Solve for the variable "x":

x=\frac{y}{5}

3. Exchange the variable "x" with the variable "y":

y=\frac{x}{5}

4. Exchange "y" withf^{-1}(x). Then the inverse function is:

f^{-1}(x)=\frac{x}{5}

7 0
4 years ago
5 inches is what fraction of a foot
ipn [44]

Answer:

5/12

Step-by-step explanation:

3 0
3 years ago
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