All categories

2 years ago

Y=2x−1

Mathematics

1 answer:

lord [1]2 years ago

5 0

Answer:

(1,1) is a solution of the system.

Step-by-step explanation:

Let's solve the system.

y = 2x - 1

5x - 4y = 1

In the first equation, y is already separated as a function of x. So we replace in the second equation;

5x - 4(2x - 1) = 1

5x - 8x + 4 = 1

4 - 1 = 8x - 5x

x = 1

y = 2x - 1 = 2(1) - 1 = 1

(1,1) is a solution of the system.

You might be interested in

One equation in a system of equations is y = 3/4x - 1. For which second equation would the system have exactly one solution? cho

Zina [86]

Answer:

ace

Step-by-step explanation:

5 0

2 years ago

4x + 17 = 30<br> WHAT IS THE ANSWER

zimovet [89]

Answer:3.25

Step-by-step explanation:

30-17=13 13 divied by 4 = 3.25

6 0

2 years ago

Read 2 more answers

What's 2/8 divided by 5/16 simplified in fraction form?

irga5000 [103]

$\frac{2}{8} \div \frac{5}{16} = \frac{2}{8} \times\frac{16}{5} = \frac{1}{4} \times\frac{16}{5} = \frac{4}{5} = 0.8$

3 0

2 years ago

Read 2 more answers

Customers arrive at a grocery store at an average of 2.1 per minute. Assume that the number of arrivals in a minute follows the

Black_prince [1.1K]

Answer:

a) P(2)=0.270

b) P(X>3)=0.605

c) P=0.410

Step-by-step explanation:

We know that customers arrive at a grocery store at an average of 2.1 per minute. We use the Poisson distribution:

$\boxed{P(k)=\frac{\lambda^k \cdot e^{-\lambda}}{k!}}$

a) In this case: $\lambda=2.1$

$P(2)=\frac{2.1^2 \cdot e^{-2.1}}{2}\\\\P(2)=0.270$

Therefore, the probability is P(2)=0.270.

b) In this case: $\lambda=2\cdot 2.1=4.2$

$P(X>3)=1-P(X\leq 3)\\\\P(X>3)=1-\sum_{x=0}^3 \frac{4.2^x \cdot e^{-4.2}}{x!}\\\\P(X>3)=1-0.395\\\\P(X>3)=0.605$

Therefore, the probability is P(X>3)=0.605.

c) We know that two customers came in in the first minute. That is why we calculate the probability of at least 5 customers entering the other 2 minutes.

In this case: $\lambda=2\cdot 2.1=4.2$

$P(X\geq 5)=1-P(X$

Therefore, the probability is P=0.410.

4 0

3 years ago

Maria says that 6.25 os 1/100 the value od 625.Wriye an explanation to support Maria's statement.You can use equations or models

KonstantinChe [14]

<span>To explain how these values are related, take the second value (625) and multiply it by 1/100, or in decimal form, 0.01. This is the equivalent of moving the decimal point two spaces to the left, which will give a result of 6.25. (625 * 0.01 = 6.25). This shows that the two values are 100 times different than each other.</span>

4 0

3 years ago