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3 years ago

Solve the system of equations algebraically.

Mathematics

2 answers:

const2013 [10]3 years ago

7 0

1.

y = x + 2 , y = -3x

Since both are equal to y we can set them equal to each other:

x + 2 = -3x
2 = -4x
-1/2 = x

Now we will substitute the value of x in one of the equation to find the value of the y:

y = x + 2
y = -1/2 + 2
y = 1.5

So the solution of the first system is (-0.5,1.5).

2.

y = x + 20 , y = 6x

Since both are equal to y, we can set them equal to each other:

x + 20 = 6x
20 = 5x
4 = x

Now we will substitute the value of x in one of the equations to find the y:

y = 6x
y = 6(4)
y = 24

So the solution for the second set of equations is (4,24).

Hope this helps :)

Grace [21]3 years ago

3 0

Y = y do you got it?

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2 years ago

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3 years ago

Consider a manufacturing process that is producing hypodermic needles that will be used for blood donations. These needles need

Mars2501 [29]

Answer:

$\text{Average diameter is 1.65 mm and we decide that it is not 1.65 mm.}$

Step-by-step explanation:

We are given the following in the question:

The needle size should not be too big and too small.

The diameter of the needle should be 1.65 mm.

We design the null and the alternate hypothesis

$H_{0}: \mu = 1.65\text{ mm}\\H_A: \mu \neq 1.65\text{ mm}$

Sample size, n = 35

Sample mean, $\bar{x}$ = 1.64 mm

Sample standard deviation, s = 0.07 mm

Type I error:

It is the error of rejecting the null hypothesis when it is true.
It is also known as false positive error.
It is the rejecting of a true null hypothesis.

Thus, type I error in this study would mean we reject the null hypothesis that the average diameter is 1.65 mm but actually the average diameters of the needle is 1.65 mm.

Thus, average diameter is 1.65 mm and we decide that it is not 1.65 mm.

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3 years ago

Read 2 more answers

It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel

Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

Solution:

The speed is given by formula:

$speed = \frac{distance}{time}$