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3 years ago

Can a linear equation and a linear inequality be solved in the same way

1 answer:

8 0

You can solve them in the same way. you can add any positive or negative number to both the sides of an inequality.Also you can multiply or divide both sides of an inequality by any positive number hope this helps. :)

You might be interested in

A group of 59 randomly selected students have a mean score of 29.5 with a standard

algol [13]

Answer:

$29.5-1.671\frac{5.2}{\sqrt{59}}=28.37$

$29.5+1.671\frac{5.2}{\sqrt{59}}=30.63$

And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence

Step-by-step explanation:

Information given

$\bar X = 29.5$ represent the sample mean

$\mu$ population mean

s= 5.2 represent the sample standard deviation

n=59 represent the sample size

Confidence interval

The confidence interval for the true mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=59-1=58$

The Confidence interval is 0.90 or 90%, the significance is $\alpha=0.1$ and $\alpha/2 =0.05$ , and the critical value is $t_{\alpha/2}=1.671$

Now we have everything in order to replace into formula (1):

$29.5-1.671\frac{5.2}{\sqrt{59}}=28.37$

$29.5+1.671\frac{5.2}{\sqrt{59}}=30.63$

And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence

8 0

3 years ago

What is the slope and y-intercept of y=4x+2

kaheart [24]

Answer:

slope: 4

y-intercept: 2

Step-by-step explanation:

We are given an equation, y = 4x + 2, and we are asked to find the slope and y-intercept of the line. Looking carefully, we can see that the equation is given to us in slope-intercept form.

Slope-intercept form is:

y = mx + b

where m is the slope and b is the by-intercept.

Knowing this, we can find that 4 is the slope of the line and 2 is the y-intercept.

I hope you find my answer and explanation to be helpful. Happy studying.

4 0

3 years ago

Find how many quarts of 6?% butterfat milk and 3?% butterfat milk should be mixed to yield 30 quarts of 5?% butterfat milk

Mrrafil [7]

Answer:

The 20 quarts are used for 6% butterfat milk and 10 quarts are used for 3% butterfat milk .

Step-by-step explanation:

As given

6% butterfat milk and 3% butterfat milk should be mixed to yield 30 quarts of 5% butterfat milk .

Let us assume that x quarts are used for 6% butterfat milk .

Than (30 - x) quarts are used for 3% butterfat milk .

6% is written in the decimal form

$= \frac{6}{100}$

= 0.06

3% is written in the decimal form

$= \frac{3}{100}$

= 0.03

5% is written in the decimal form

$= \frac{5}{100}$

= 0.05

Than the equation becomes

0.06 × x + (30 - x) × 0.03 = 30 × 0.05

0.06x + 0.9 - 0.03x = 1.5

0.06x - 0.03x = 1.5 - 0.9

0.03x = 0.6

$x = \frac{0.6}{0.03}$

x = 20 quarts for 6% butterfat milk .

(30 - x ) = (30 - 20) = 10 quarts for 3% butterfat milk .

Than 20 quarts are used for 6% butterfat milk and 10 quarts are used for 3% butterfat milk .

5 0

4 years ago

Please answer if you can I will mark brainliest!

vovikov84 [41]

ANSWER

My answer is in the photo above

5 0

3 years ago

Write a function rule that gives a worker’s earnings e(n) for n hours when the worker’s hourly wage is $6.37

aleksandrvk [35]

we are given

worker’s hourly wage is $6.37

number of hours is n

so,

workers earnings in n hours is 6.37*n

so,

$e(n)=6.37n$

so,

option-C.........Answer

3 0

3 years ago