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2 years ago

Y=2x+5 y=3x−1 solve by subsitution

Mathematics

1 answer:

loris [4]2 years ago

5 0

Answer:

(6,17)

Step-by-step explanation:

2x+5=3x-1

-3x -3x

-x+5=-1

-5 -5

-x=-6

^divided by -1 on both sides

x=6

y=2x+5

y=(2)(6)+5

y=17

You might be interested in

2x+29 find the value of x

NikAS [45]

Answer:

The answer would be x=13.5

Step-by-step explanation: 13.5 times 2 equals 27. 27 plus 2 equals 29.

7 0

2 years ago

If a bank account doubles in size every 5 years, then by what percent does it grow after only 3 years? Round to the nearest tent

mr Goodwill [35]

Answer:

Step-by-step explanation:

Alright, let get started.

Suppose the initial deposit in account = x

After five years, this accounts get doubled means = 2x

Means in 5 years , the growth = $2x-x = x$

So, in 1 year, the growth will be = $\frac{x}{5}$

So, in 3 years, the growth will be = $\frac{x}{5}*3=\frac{3x}{5}$

So percent grwoth will be = $\frac{\frac{3x}{5}}{x}*100 = 60$

Hence percentage growth is 60 %. : Answer

Hope it will help :)

4 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

The side lengths of the smaller cube is 3 1/2 inches by 3 1/2 inches by 3 1/2 inches

Svetllana [295]

Answer:

28.5 inches long for the smaller cube

7 0

2 years ago

Solve the inequality 14 + 10y >= 3(y + 14)

Brrunno [24]

14+10y > 3(y+14)

14+10y > 3y + 42
-3y -3Y

14 + 10y - 3y < 42

-14 -14

10y - 3y >42 - 14

7y > 28

Y> 4

3 0

3 years ago