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3 years ago

Solve 4y^2+7y+2=0 to 2 decimal places

Mathematics

1 answer:

Rom4ik [11]3 years ago

4 0

Answer: There were two sloutions either y= -1/4= -0.250 or y=2

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Which is an equation of the line that passes through the points (5, 2) and (10, -3)?

sashaice [31]

Answer:

y = -x + 7

Step-by-step explanation:

Hi there!

We are given the following points:
(5,2) and (10,-3)

We want to find the equation of the line that passes through these 2 points

There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b (m is the slope and b is the y intercept).

First, let's find the slope of the line.

The slope can be calculated from 2 points using the equation $\frac{y_2-y_1}{x_2-x_1}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are points

We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes.

$x_1=5\\y_1=2\\x_2=10\\y_2=-3$

Now substitute these values into the formula to find the slope

m= $\frac{y_2-y_1}{x_2-x_1}$

m= $\frac{-3-2}{10-5}$

Simplify

m= $\frac{-5}{5}$

Divide

m=-1

The slope of the line is -1

We can substitute this value as m in y=mx+b.

Here's the equation of our line so far:

y=-x+b

Now we need to find b

As the equation passes through the points (5,2) and (10,-3), we can use either point to find the value of b

Taking (5,2) for example:

Substitute 5 as x and 2 as y

2=-5+b

Add 5 to both sides

7=b

Substitute 7 as b in the equation

y = -x + 7

Hope this helps!

See more on this topic here: brainly.com/question/27166723

4 0

2 years ago

Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic t.

lawyer [7]

Using the t-distribution, it is found that the p-value of the test is 0.007.

At the null hypothesis, it is tested if the mean lifetime is not greater than 220,000 miles, that is:

$H_0: \mu \leq 220000$

At the alternative hypothesis, it is tested if the mean lifetime is greater than 220,000 miles, that is:

$H_1: \mu > 220000$ .

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.
$\mu$ is the value tested at the null hypothesis.
s is the standard deviation of the sample.
n is the sample size.

For this problem:

$\overline{x} = 226450, \mu = 220000, s = 11500, n = 23$

Then, the value of the test statistic is:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{226450 - 220000}{\frac{11500}{\sqrt{23}}}$

$t = 2.69$

We have a right-tailed test(test if the mean is greater than a value), with t = 2.69 and 23 - 1 = 22 df.

Using a t-distribution calculator, the p-value of the test is of 0.007.

A similar problem is given at brainly.com/question/13873630

8 0

2 years ago

What is the square root of 20x over 3

Jobisdone [24]

$2 \sqrt{5x} \div 3$

8 0

3 years ago

Find 5/6 of -4/15 1. -9/21 2. -2/9 3. -2/3 4. 1/21

Genrish500 [490]

Answer:

it should be 1/21

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

30 points please no copying

Mars2501 [29]

Answer

its C) the fourth one: g - m - n

Step-by-step explanation:

7 0

3 years ago

Solve 4y^2+7y+2=0 to 2 decimal places​

Solve 4y^2+7y+2=0 to 2 decimal places