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4 years ago

Solution of the system. Y=2x+2 y=x+1

Mathematics

1 answer:

tangare [24]4 years ago

4 0

Answer:

(-1, 0)

Step-by-step explanation:

y = 2x + 2

y = x + 1

Substitute one of the equations for the value of y.

x + 1 = 2x + 2

-x + 1 = 2

-x = 1

x = -1

Now, substitute this value for x in one of the equations.

y = 2(-1) + 2

y = -2 + 2

y = 0

So, the solution is (-1, 0)

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What equal 27 on gif

natali 33 [55]

Then that would be 3 and 9.

8 0

3 years ago

An amusement park would like to determine if they want to add in a new roller coaster. In order to decide whether or not they sh

Rzqust [24]

Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 90% confidence level, hence $\alpha = 0.9$ , z is the value of Z that has a p-value of $\frac{1+0.9}{2} = 0.95$ , so the critical value is z = 1.645.

The sample size and the estimate are given by:

$n = 600, \pi = \frac{400}{600} = 0.6667$

Hence, the bounds of the interval are given by:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 - 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6350$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 + 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6984$

The 90% confidence interval is given by: (0.6350, 0.6984).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

5 0

3 years ago

Find in the triangle. Round to the nearest degree.<br> a.<br> 45°<br> C. 60°<br> b. 59°<br> d. 42°

aleksklad [387]

Answer:

Theta = 59 degrees

Step-by-step explanation:

Here, we want to get the value of the marked angle

To do this, we use the appropriate trigonometric ratio

From what we have,

The side 42 ft is adjacent the angle given

The side facing the right angle is 82 ft

The trigonometric ratio that connects the adjacent and the hypotenuse is cosine. It is the ratio of the adjacent to the hypotenuse

Cos theta = 42/82

theta = cos^-1 0.5122

theta= 59.189

To the nearest degrees, this is 59 degrees

6 0

3 years ago

2.<br> Which of the functions below is an inverse of the quadratic function f(x) = x2 - 3 ?

mezya [45]

Answer:

the inverse of the quadratic function $f(x) = x^2 - 3$ is $\mathbf{f^{-1}(x)=\pm \sqrt{x+3}}$

Step-by-step explanation:

We need to find inverse of the quadratic function $f(x) = x^2 - 3$

Let

$y=x^2-3$

Replace x and y

$x=y^2-3$

Now, we will solve for y

Adding 3 on both sides

$x+3=y^2-3+3$

$x+3=y^2$

Taking square root on both sides

$\sqrt{y^2}=\sqrt{x+3}\\y=\pm \sqrt{x+3}$

Now replace y with $f^{-1}(x)$

$f^{-1}(x)=\pm \sqrt{x+3}$

So, the inverse of the quadratic function $f(x) = x^2 - 3$ is $\mathbf{f^{-1}(x)=\pm \sqrt{x+3}}$

3 0

3 years ago

The coordinate m is 2.5 and mn=4. What are the possible coordinates for n

steposvetlana [31]

Refer to the figure shown below.

The coordinates of point m are (2,5).
Let (x,y) = the coordinates of pont n.

Because mn = 4, use the Pythagorean theorem to obtain
(x - 2)² + (y - 5)² = 4²

This represents a circle with center at (2,5) and radus = 4.

Answer:
Possible coordinates for n lie on the circle (x-2)² + (y-5)² = 16.

7 0

4 years ago