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2 years ago

Use the drawing tools to graph the solution to this system of inequalities on the coordinate plane.

Mathematics

1 answer:

gtnhenbr [62]2 years ago

3 0

The solution to the system of inequalities is (0.667, 5.333)

<h3>How to graph the inequalities?</h3>

The system of inequalities is given as:

y > 2x + 4

x + y ≤ 6

Next, we plot the graph of the system using a graphing tool

From the graph, both inequalities intersect at

(0.667, 5.333)

Hence, the solution to the system of inequalities is (0.667, 5.333)

Read more about system of inequalities at:

brainly.com/question/19526736

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The following data show the weight, in ounces, of 10 different bags of candy:

LuckyWell [14K]

B) is correct; on average, each bag of candy has a weight that is 2.6 oz different than the mean weight of 5 oz.

To find the mean absolute deviation, we first find the mean. Find the sum of the data points and divide by the number of data points (without the outlier, 21, in it):
(10+3+7+3+4+6+10+1+2+4)/10 = 50/10 = 5

Now we find the difference between each data point and the mean, take its absolute value, and find their sum:
|10-5|+|3-5|+|7-5|+|3-5|+|4-5|+|6-5|+|10-5|+|1-5|+|2-5|+|4-5| =
5+2+2+2+1+1+5+4+3+1 = 26

We now divide this by the number of data points:
26/10 = 2.6

This is a measure of how much each bag of candy varies from the mean.

4 0

3 years ago

Read 2 more answers

Show that cos(3x) = cos3(x) − 3 sin2(x)cos(x). (Hint: Use cos(2x) = cos2(x) − sin2(x) and the cosine sum

otez555 [7]

Step-by-step explanation:

To prove:

$\cos 3x=\cos^3x-3\sin^2 x\cos x$

Identities used:

$\cos(A+B)=\cos A\cos B+\sin A\sin B$ ......(1)

$\sin 2A=2\sin A\cos A$ ........(2)

$\cos 2A=\cos^2A-\sin^2 A$ .......(3)

Taking the LHS:

$\Rightarrow \cos 3x=\cos (x+2x)$

Using identity 1:

$\Rightarrow \cos (x+2x)=\cos x\cos 2x-\sin x\sin 2x$

Using identities 2 and 3:

$\Rightarrow \cos x(\cos ^2x-\sin^2 x)-\sin x(2\sin x\cos x)\\\\\Rightarrow \cos^3x-\sin^2x\cos x-2\sin^2 x\cos x\\\\\Rightarrow \cos^3x-3\sin^2x\cos x$

As, LHS = RHS

Hence proved

4 0

3 years ago

Graph the line that has a slope of 1/9 and includes the point (0,8)

Crank

Answer:

Step-by-step explanation:

y = mx + b

slope(m) = 1/9

y int (b) = 8.....or (0,8)

y = 1/9x + 8.....this is ur equation

ur x intercept is : (can be found by subbing in 0 for y

0 = 1/9x + 8

-1/9x = 8

x = 8 * -9

x = - 72....or (-72,0)

7 0

3 years ago

Which is the correct label of this line? A/ ac B/ cd C/ d D/ a

My name is Ann [436]

It would be line cd, so b

8 0

3 years ago

Please help I’m being timed!! A small dairy farm writes a business plan. It includes a graph showing the estimated amount of fee

9966 [12]

Answer: The Answer is C

Step-by-step explanation: I just took the quiz on ed and this is the correct answer.

6 0

3 years ago