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NeTakaya
3 years ago
8

Let f(x) = x^2 - 2x a. Find and simplify f(5) b. Find the value of x such that f(x)=3

Mathematics
1 answer:
likoan [24]3 years ago
5 0
A) f(5)= 5^2 -2•5= 25-10=15
b) x^2 -2x-3=0
(x-3)(x+1)=0 so
x=3 and x=-1 are the solutions
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Sketch a generic rectangle to represent the product 3(x+2). Then write an equivalent expression​
abruzzese [7]

Answer:

  3x +6

Step-by-step explanation:

The rectangle representing the product 3(x+2) will have dimensions 3 and (x+2). It can be divided into portions with areas 3·2 = 6, and 3·x = 3x.

An equivalent expression is ...

  3x +6

8 0
2 years ago
In Leakwater township, there are two plumbers. On a particular day three Leakwater residents call village plumbers independently
Marianna [84]

Answer:

25% probability that all three residents will choose the same plumbe

Step-by-step explanation:

For each resident, there are only two possible outcomes. Either they choose the first plumbe, or they choose the second. The plumbers are chosen independent of each other. 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.

Each resident randomly chooses one of the two plumbers.

This means that p = \frac{1}{2} = 0.5

Three residents:

This means that n = 3

What is the probability that all three residents will choose the same plumb

This is P(X = 0)(all choose the second pumble) or P(X = 3)(all choose the first pumble). So

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

P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125

P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125

p = P(X = 0) + P(X = 3) = 2*0.125 = 0.25

25% probability that all three residents will choose the same plumbe

4 0
3 years ago
Suppose you want to estimate the proportion of traditional college students on your campus who own their own car. From research
Lapatulllka [165]

Answer:

2,655 students

Step-by-step explanation:

The z-score for a 99% confidence interval is z = 2.576

The standard error for a proportion p is:

SE = z*\sqrt{\frac{p*(1-p)}{n} }

For a proportion of p =0.20, in order to ensure a standard error of 0.02, the sample size 'n' must be:

0.02 = 2.576*\sqrt{\frac{0.2*(1-0.2)}{n}}\\n=2,654.31

Rounding up to the next whole student, the sample size needed is 2,655 students.

5 0
3 years ago
Spinner has six sections of equal shape and size. Each section is either black or white. The table shows the result of an experi
Novosadov [1.4K]

Answer:

The spinner is 3 times more likely to land on white.

Step-by-step explanation:

The spinner landed 57 times on white and 19 times on black.

57 is 3 * 19

Answer: The spinner is 3 times more likely to land on white.

4 0
3 years ago
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Jon hikes 13.5 mi at a constant rate of 3 mi/h. How many hours does he hike?
joja [24]
13.5/3 = 4.5

He hiked for 4.5 hours.


6 0
3 years ago
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