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Serggg [28]
3 years ago
11

Which of the following will be the solution for a two-order inequality?

Mathematics
2 answers:
viktelen [127]3 years ago
8 0
In solving a two-order linear inequality, say

y>m_1 x and y \ge m_2 x +c

We graph the corresponding linear equations;

\left \{ {{y=m_1 x} \atop {y= m_2 x+c}} \right.

Each of the two equations divides the cartesian plane into half-planes.

By testing for points, we identify the half-plane that satisfies each inequality.

The intersection of the two half-planes gives us a set of points that satisfies the two inequalities simultaneously.

Therefore the solution to the two-order inequality is the intersection of two half-planes.

The correct answer is option C

Ulleksa [173]3 years ago
5 0
The intersection of two half planes 
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Two skaters are practicing at the same time on the same rink. A coordinate grid is superimposed on the ice. One skater follows t
myrzilka [38]

Answer:

The skaters will collide at the points;

(2,28) and (4,24)

Step-by-step explanation:

The points they might collide will be the points when both y are equal;

-2x + 32 = -2x^2 + 18x

2x^2 -18x -2x + 32 = 0

2x^2 -20x + 32 = 0

2x^2 - 16x - 4x + 32 = 0

2x(x -8) -4( x -8) = 0

(2x -4)(x -8) = 0

2x = 4 or x = 8

x = 4/2 or x = 8

hence; x = 2 or 8

Now let’s get the y value

at x = 2, just substitute into any of the 2

y = -2x + 32

y = -2(2) + 32

y = -4 + 32 = 28

at x = 4

y = -2(4) + 32

y = -8 + 32

y = 24

The points that they will collide are;

(2,28) and (4,24)

4 0
3 years ago
The area of a triangular plot with a base of 5 yards and a height of 8 yards is 20 square yards. What is the area of the triangu
pshichka [43]

Answer:

i think 60

Step-by-step explanation:

because the area in square yards is 20 and there are 3 ft in a yard so you would multiply 20 by 3 and you get 60

6 0
3 years ago
Values for the labor force participation rate of women​ (LFPR) are published by the U.S. Bureau of Labor Statistics. A researche
Anna [14]

Answer:

(A) For this research we made use of the paired t test.

(B) For the t test, we conclude that in the null Hypothesis H₀, there was no difference between the average labor force participation rate for women between the years of 1968 and​ 1972 as against the alternate Hypothesis Hₐ.

From the output data we have, since the P value is 0.024 and  is lesser than the alpha value of 0.05, we will accept the alternate Hypothesis instead of the null Hypothesis.

Note:Kindly find an attached copy of the complete question below.

Step-by-step explanation:

Solution

Recall that:

The U.S of Bureau of Labor Statistics have published Values for the labor force participation rate of women​ (LFPR).

We are more interested in if there was a difference between female participation 1968 and​ 1972, a rapid change in women.

so we will check values for 19 randomly selected cities for 1968 and​ 1972,

Now,

(a) Which of this test is most appropriate for this data

The test which will be more suitable for these data will be paired to test t.

Because the data is for labor force participation for two different years, we apply the t test. now that we are making a comparison of two different year times, we will apply the t test in this research.

In this case, the sample size for both the years evaluated should be same, since we need to pair each and all the data.

(b)By using the test you selected, explain your conclusion

Now, to test the data paired t test, we have already the null Hypothesis  H₀: In this case there  is no difference between the average labor force participation rate for women between the years of 1968 and​ 1972 as compared with the alternate Hypothesis Hₐ: there was a significant difference between the average labor force participation rate for women between the years of 1968 and​ 1972.

However, from the output, we have that the P value is 0.024 which is lower than the alpha value of 0.05.

In conclusion, the alternate Hypothesis accepted while the null Hypothesis is rejected.

Note: kindly find an attached copy of the complete question to this solution

below.

4 0
3 years ago
How to solve 8=3/4w on math
NeTakaya
When you have to divide by a fraction, you have to multiply the other number by the fraction's reciprocal.

8 = 3/4 w    Divide by 3/4

w = 8/(3/4)

w = 8/ (3/4)  =  8 x 4/3   Multiply by the numerator and divide by the                                                   denominator.

w = (8 x 4) / 3

w = 32 / 3

w = 10 2/3
6 0
3 years ago
Read 2 more answers
Which table has a constant al proportionality between y and 1.57 Choose 1 answer​
Blizzard [7]

Answer:

b

Step-by-step explanation:

I did this problem before

8 0
3 years ago
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