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2 years ago

Which of the following systems of inequalities would produce the region

Mathematics

1 answer:

Mnenie [13.5K]2 years ago

8 0

Answer:

y > x + 1 ; y ≤ 10 ; x ≥ 0

Step-by-step explanation:

First, we need to get the equation of the straight line. The equation of the straight line is expressed as y = mx+c

m is the slope

c is the y-intercept

Using the coordinate points (0, 1) and (1,2)

m = (2-1)/(1-0)

m = 1/1 = 1

y-intercept c = 1 (the point where the line cuts the y-axis)

Substitute;

Since y = mx+c, then y = 1x + 1

y = x+1

Since the line is a broken line and shaded above, then y > x+1

Also, the point shaded on the graph indicates y ≤ 10 ; x ≥ 0

You might be interested in

If 49x2 + 28x - 10 is rewritten as p2 + 4p -10, what is p in terms of p=

madam [21]

Answer:

p=7x

Step-by-step explanation:

49x^[2] + 28x - 10 = p^[2] + 4p -10

This equation is in the form a^[2]x + bx + c.

The 'c' is common for both equations, this means the 'a' and 'b' must also be common.

There are two ways to find p: 'a' or 'b'

a method

49x^[2] = p^[2]

=> The square root of both sides = 7x = p

b method

28x = 4p

28x/4 = 4p/4

7x = p

6 0

2 years ago

If you use the addition property of equality , what number would you add to both sides of the equal sign to isolate the variable

kkurt [141]

Answer:

The answer is " $\frac{26}{7}$ "

Step-by-step explanation:

The whole question can be found in the file attached.

$\to x + \frac{5}{7} = \frac{31}{7}\\\\$

Subtracting the $\frac{5}{7}$ from both sides of the equations:

$\to x +\frac{5}{7} - \frac{5}{7} = \frac{31}{7} - \frac{5}{7} \\\\$

$= \frac{31-5}{7} \\\\= \frac{26}{7} \\\\$

5 0

2 years ago

Use the graph to determine the domain and range of the relation, and whether the relation is a function

MAVERICK [17]

domain is correct for b and c

the graph is a function because each value of x has only one y value

hence answer is B

8 0

2 years ago

Chau's shop sells quarts of ice cream each day. How much is this in pints?

barxatty [35]

Answer:

One quart is 2 pints

Step-by-step explanation:

multiply the number of quarts by 2 to get the number of pints.

5 0

2 years ago

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estim

pogonyaev

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by $\alpha=1-0.80=0.20$ and $\alpha/2 =0.10$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.28$

Solution to the problem

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

Since we don't have prior info for the proportion of interest we can use $\hat p=0.5$ as estimator. And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

5 0

2 years ago