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Papessa [141]
2 years ago
11

Find formula for g(x) if it is known that g(x-3)=2x-6

Mathematics
1 answer:
kati45 [8]2 years ago
7 0

9514 1404 393

Answer:

  g(x) = 2x

Step-by-step explanation:

Replace x in the given function with x+3.

  g((x+3) -3) = 2(x+3) -6

  g(x) = 2x +6 -6

  g(x) = 2x

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A machine making computer chips isn't working correctly, and 5% of the computer chips it makes are defective. If an inspector ch
Rainbow [258]

Answer:

0.25% probability that they are both defective

Step-by-step explanation:

For each computer chip, there are only two possible outcomes. Either they are defective, or they are not. The probability of a computer chip being defective is independent of other chips. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

5% of the computer chips it makes are defective.

This means that p = 0.05

If an inspector chooses two computer chips randomly (meaning they are independent from each other), what is the probability that they are both defective?

This is P(X = 2) when n = 2. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025

0.25% probability that they are both defective

4 0
3 years ago
What does the initial value mean for this function?
Anit [1.1K]
She saves 10 per week.......after 4 weeks, she had 90

so if she started with nothing, after 4 weeks she would have 40.....but for her to have 90, she would have had to have started with (90 - 40) = 50.

Think about it....she starts with 50....and then saves 10 for 4 weeks giving her 40......and now she has 40 + 50 = 90

so ur answer is : Roberta had $ 50 before she started to save money each week
5 0
2 years ago
PLEASE HELP PLEASE PLEASE PLEASE
Ne4ueva [31]

13% of the time yet it is a great day

7 0
3 years ago
What are the coefficients of each term in 4x -y -2x?
kifflom [539]

Answer:

4x and -2x

Step-by-step explanation:

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8 0
3 years ago
X+4 divided by x^2+16<br><br> Why can't it be simplified?
KonstantinChe [14]
Let's try to simplify x^2 + 16. It's a sum of two squares:

x^2 + 16 = 0

x^2 = -16

The problem is, we can't take a square root of a negative. This is where imaginary numbers come in.

Remember that square roots have a plus or minus symbol outside:

±√-16 = ±4i

Our two roots are 4i and -4i. Therefore, the trinomial simplifies to:

(x + 4i)(x - 4i)

If we attempt to divide x + 4 by these two binomials, we will find that 4 and 4i are not like terms. Therefore, we can't simplify this expression.
8 0
2 years ago
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