All categories

3 years ago

Given that 2(-x + 4)=3 prove that x=5/2

Mathematics

1 answer:

user100 [1]3 years ago

7 0

Answer:

x = 5/2

Step-by-step explanation:

So firstly, you want to distribute. It'll make your life much easier.

-2x + 8 = 3

-2x = -5 (subtracting 8 from both sides)

x = 5/2 (dividing both sides by -2 to obtain x)

Hope this helps :)

You might be interested in

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

3x + 2y = 2

xenn [34]

A) (-2,4)
first multiply 2nd eqn by 2 and subtract it from eqn 1st then u will get x then put x in ist eqn then u will get y.

4 0

3 years ago

Write an equation of the line below

Romashka-Z-Leto [24]

Answer:

y=-x-2

Step-by-step explanation:

The slope is negative 1 and the y intercept is -2

3 0

2 years ago

Find the perimeter of a triangle with sides of length 1.4, 1.8, and 4.8.

Nutka1998 [239]

I'm quite sure that the answer is 8

3 0

3 years ago

Need help getting stuck on this problem

stepan [7]

Answer:

Variable x in first equation

Step-by-step explanation:

<u>Given system</u>

x = 5y - 1
x + 2y = 13

Variables in this system are x and y.

Isolating a variable means rearranging the equation so that a variable of our interest is on its own in one side of the equal sign.

We see <u>variable x is isolated </u>in the first equation.

In the second equation both of the variables are on the same side so they are not isolated.

3 0

3 years ago