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3 years ago

The function of f(x)=g(x) where f(x)=2x-3 and g(x) = x2 -5

Mathematics

2 answers:

kotegsom [21]3 years ago

7 0

Answer:

$x^{2} -2x-2$

Step-by-step explanation:

$2x-3=x^{2} -5\\x^{2} -2x-2$

Elena L [17]3 years ago

3 0

Answer:

i dont knwo you tell me

Step-by-step explanation:

HIIIIIIIIII

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You worked theses hours this week: 1 1/2 , 2 3/4, 3 3/4, 5 1/2

alukav5142 [94]

Answer: 13.5 hours.

I got the answer by simply adding up the integers to start with.

Integers = 1, 2, 3 and 5.

The integers added up equal to 11.

Next we add up the remaining fractions.

Fractions = 1/2, 3/4, 3/4 and 1/2.

We can add up 1/2 and 1/2 to equal 1, and 3/4 and 3/4 to make 1.5.

1 + 1.5 = 2.5

Finally, we add up the answer for the integers and the fractions together, (11 + 2.5) which equals 13.5.

Our answer is 13.5 hours.

(Not sure why the answer isn't in the choices)

6 0

3 years ago

A supermarket display consists of boxes of cereal. The bottom row has 23 boxes. Each row has three fewer boxes than the row belo

Vesnalui [34]

Well, I don't know if the following work is exactly what you want but here it goes:

first:23
second: 23-3=20
third: 20-3=17
fourth:17-3=14
fifth: 14-3=11
sixth: 11-3=8

Hope thats what you wanted if not Ill do my best to figure out a different solution. Just comment or private message me For questions. :0

4 0

3 years ago

Read 2 more answers

Solve for y in terms of x. 2/3 y - 4 = x

Nastasia [14]

Answer:

y = 3/2x + 6

Step-by-step explanation:

2/3 y - 4 = x

2/3y = x + 4

y = 3/2 * (x + 4)

y = 3/2x + 6

3 0

2 years ago

Read 2 more answers

Is 21 to the square root of 2 rational or irrational

Step2247 [10]

It is equal to 21/2 which is a rational number

3 0

3 years ago

Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 18-pack. Suppos

crimeas [40]

Answer:

a) There is a 1.21% probability that both contain diet soda.

b) There is a 79.21% probability that both contain diet soda.

c) $P(X = 2)$ is unusual, $P(X = 0)$ is not unusual

d) There is a 19.58% probability that exactly one is diet and exactly one is regular.

Step-by-step explanation:

There are only two possible outcomes. Either the can has diet soda, or it hasn't. So we use the binomial probability distribution.

Binomial probability distribution

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

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

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

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

And $\pi$ is the probability of X happening.

A number of sucesses $x$ is considered unusually low if $P(X \leq x) \leq 0.05$ and unusually high if $P(X \geq x) \geq 0.05$

In this problem, we have that:

Two cans are randomly chosen, so $n = 2$

Two out of 18 cans are filled with diet coke, so $\pi = \frac{2}{18} = 0.11$

a) Determine the probability that both contain diet soda. P(both diet soda)

That is P(X = 2).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 2) = C_{2,2}(0.11)^{2}(0.89)^{0} = 0.0121$

There is a 1.21% probability that both contain diet soda.

b)Determine the probability that both contain regular soda. P(both regular)

That is P(X = 0).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 0) = C_{2,0}(0.11)^{0}(0.89)^{2} = 0.7921$

There is a 79.21% probability that both contain diet soda.

c) Would this be unusual?

We have that $P(X = 2)$ is unusual, since $P(X \geq 2) = P(X = 2) = 0.0121 \leq 0.05$

For P(X = 0), it is not unusually high nor unusually low.

d) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular)

That is P(X = 1).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 1) = C_{2,1}(0.11)^{1}(0.89)^{1} = 0.1958$

There is a 19.58% probability that exactly one is diet and exactly one is regular.

8 0

3 years ago