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1 year ago

Which graph shows the solution to this system of inequalities? y<-1/3x+1 y<_2x-3

Mathematics

1 answer:

kari74 [83]1 year ago

8 0

The graph that shows the solution to the system of inequalities is: C (see the image attached below).

<h3>How to Determine the Graph of the Solution to a System of Inequalities?</h3>

Given the following systems of inequalities:

y < -1/3x + 1

y ≤ 2x - 3

Below are the features of the graph that represents a solution to the system of inequalities:

The boundary line of y < -1/3x + 1 would be a dashed line and the shaded area would be below it, because of the inequality sign, "<".
The boundary lines of y ≤ 2x - 3 would be a solid line and the shaded area would be below it, because of the inequality sign, "≤".
The slope of the shaded line that represents y < -1/3x + 1, would be -1/3, and the line would be a decreasing line which intersects the y-axis at 1.
The slope of the line that represents y ≤ 2x - 3, would be 2, and the line would also be an increasing line that intersects the y-axis at -3.

Therefore, the graph that shows the solution to the system of inequalities is: C (see the image attached below).

Learn more about the graph of the system of inequalities on:

brainly.com/question/10694672

#SPJ1

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I WILL MARK BRAINLIEST IF YOU CAN ANSWER THISSSS (9x10)/44+pi = xy what is xy and how did you find your answer?? After typing pl

melomori [17]

Answer: 1.9

Step-by-step explanation:

You want to multiply 9x10 which is 90.

Then you want to add 44+pi

now pi can be shown as 3.14 or 22 over 7

in this case you want to add 44 + 3.14 which gives you 47.14

now you want to divide 90/47.14 which gives you 1.90920661858 or in short

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2 years ago

What is the value on the number line for the blue dot

rosijanka [135]

Answer:

I believe 4, but I might be wrong.

Step-by-step explanation:

If you look, it's going down -4 every time. So that means if you're going up, it's going +4 after you skip a space. So, skip, then 0, then skip, and that's 4.

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3 years ago

Read 2 more answers

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is

yan [13]

Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

$H_{0}: \mu = 434$

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

$H_{a}: \mu < 434$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

434 is tested at the null hypothesis:

This means that $\mu = 434$

A 9 bag sample had a mean of 431 grams with a variance of 144.

This means that $X = 431, n = 9, \sigma = \sqrt{144} = 12$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}$

$z = -0.75$

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.

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2 years ago

Middle school math problem

irina [24]

Answer:

12%

Step-by-step explanation:

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2 years ago

0.63 x 1.8 solve with the steps to get the answer

Xelga [282]

Answer:

key the numbers into your calculator and execute the multiplication function

Step-by-step explanation:

Details vary with calculator model. Read your manual.

_____

There are many ways to work a problem of this nature by hand or in your head. The second attachment shows a couple of them.

<em>Long multiplication</em>

Essentially, every digit in one number needs to be multiplied by every digit in the other number, and the results combined according to their place value. The diagram on the left is a method that has you put the product of the top digit and the right digit into the box with "tens" and "ones" separated by a diagonal line.

After you've filled in the products of all the digits, you add them along diagonal "columns", putting the sum at the bottom or to the left. Any "carry" from the sum will add to the next "column" to the left or above. For example, the product digit 3 is arrived at by adding the 8, 2, and 3 along the diagonal. That sum results in a "carry" of 1 that gets added to the 4, 6, and 0 in the diagonal "column" above it.

As with any multiplication of decimals, the number of decimal digits in the product is the same as the total of the numbers of decimal digits in the multiplicands. (2+1=3)

<em>Mental math</em>

Both these numbers are multiplies of 9, so the product can be found different ways using that fact. The number 1.8 is 2 - 0.2, so the product can be found as ...

0.63 × 1.8 = 0.63 × (2 -0.2) = (0.63×2) - (0.63×0.2)

= 1.26 -0.126 = 1.134

Multiplication by 2 is easily done in your head. The subtraction of one 3-digit number from another may be a little harder to do, but is probably less work than the long multiplicatin described above.

_____

<em>Alternative mental math</em>

The product of one number and the other, as described above, is the product of each digit in one number with each digit in the other number, paying attention to place value.

With decimal points removed, the numbers are 63 and 18, and their product is ...

6·1 × 100 + (6·8 +3·1) × 10 + 3·8

= 600 +510 +24

= 1110 +24

= 1134

The the desired product is this value with the decimal point put 3 places from the right: 1.134

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2 years ago