What are the domain and range of the function on the graph? The domain includes all integers, and the range is y ≥ 0. The domain

x= morning

y = afternoon

x + y = 10

x=10-y

5x + 6y =57

5(10-y) +6y =57

50-5y +6y =57

y=7

x=10-7 =3

 verification: 3*5 = 15, 7*6 = 42, 42 + 15 = 57

3 morning practices

Answer:

There is no notable difference between the two averages at a 5% significance level.

Step-by-step explanation:

A college student wanted to investigate whether business majors or liberal arts majors performed better in trivia.

The student administered a trivia quiz to 30 business majors, achieving an average score of 86. The same quiz was given to 30 liberal arts majors, with an average score of 89.

This process involved hypothesis testing to compare the means of two different disciplines. n =30

Since no specific claim is made regarding which group is better, a two-tailed test is appropriate.

The p-value achieved exceeds our alpha level,

indicating no significant difference exists between the average scores of the two groups, so we accept the null hypothesis.

Response:1. The GCF of the group ( 6 x - 3 ) is 3.

2. The mutual binomial factor is 2 x - 1.

3. The expression in factored form is: ( 2 x - 1 ) ( 7 x + 3 ).

Step-by-step details:

14 x² + 6 x - 7 x - 3 =

= ( 14 x² - 7 x ) + ( 6 x - 3 ) =

= 7 x ( 2 x - 1 ) + 3 ( 2 x - 1 ) =

= ( 2 x - 1 ) ( 7 x + 3 )

Answer:

Step-by-step explanation:

Neither Conner nor Jana correctly broke down the numbers for multiplication. The correct product of 3568 times 39610 is 141,328,480.

Both attempted to use the partition method, but failed to divide the numbers properly.

Specifically, 3568 should be split as 3000 + 500 + 60 + 8,

and 39610 as 30000 + 9000 + 600 + 10.

Then, multiply each part of 3568 by each part of 39610, such as:

3000 × 30000

3000 × 9000

3000 × 600

3000 × 10

and continuing with all combinations.

Initially, we need to determine the total land area dedicated to the 120 lots.
 It is important to note that 10% of the land will not be allocated for the lots.
 We have the following:
 
 Next, we need to account for the necessary unit conversions:
 
 By executing the conversion, we obtain:
 
 Consequently, the area in square feet for every lot is calculated as:
 
 Final result:
 Each lot will measure 32670 square feet.