Answer:
Domain = 0≤m≤20 for mEZ+
Range = $100≤A≤$700 for all values of m
Step-by-step explanation:
Initial amount in the account = $100
Amount saved by beth monthly = $30
Amount in the bank after X month = $100+$30X where X is the number of months beth intend to save up to.
The amount in her bank in her first month = $100+$30(1)
= $100+$30
= $130
Amount saved in the second month will be when X = 2
= $100+$30(2)
= $100+$60
= $160
The amount in the bank will keep increasing by $30 monthly until the 20month.
The amount he will have in her bank in the 20th month will be at when X = 20
= $100+30X
= $100+30(20)
= $100+$600
= $700
This means that her money will be $130 in the first month and will keep increasing until it reaches $700 in the 20th month.
The DOMAIN will be the interval of the time she used in saving. Since she saved for 20months, the domain will be expressed as 0≤m≤20 for mEZ+ where m is the number of month she uses to save.
The Range will represent the amount she saved within the specified time and will be expressed as $100≤A≤$700 for all values of m.
Where $100 is the amount in the account initially and $700 is the amount in the account after 20 months.
9, 4, -1, -7
Arithmetic because it has a common difference of 5.
4, 10, 16, 22
Arithmetic because it has a common difference of 6.
2, -6, 18, -54
Geometric because it has a common ratio of -3.
4, 4, 4, 4
Both because it has a common difference of 0 and a common ratio of 1.
Hope this helps :)
Answer:
8x + 6 + 4 = 3x - (2x + 4)
Step-by-step explanation:
When Gio applies the distributive property, the equation above is the result. Naturally, I look at the 1st parenthesis I see and start the 1st distributive property there first. The 2nd distributive property would be the other parenthesis where you multiply by -1, so you would get 8x + 6 + 4 = 3x - 2x - 4
The differences between he numbers are 19, so the answer is 58 + 19 = 71
Answer:
See explanation
Step-by-step explanation:
16. Two parallel lines are cut by transversal. Angles with measures 
and 
are alternate exterior angles. By alternate exterior angles, the measures of alternate exterior angles are the same:
Then
17. Two parallel lines are cut by transversal. Angles with measures 
and 
are alternate interior angles. By alternate interior angles, the measures of alternate interior angles are the same:
Then
18. Two parallel lines are cut by transversal. Angles with measures 
and 
are alternate exterior angles. By alternate interior angles, the measures of alternate exterior angles are the same:
Then
19. The diagram shows two complementary angles with measures 
and 
. The measures of complementary angles add up to 
then
Hence,
Check:
20. Angles 
and 
are vertical angles. By vertical angles theorem, vertical angles are congruent, so
Hence,
21. 
and 
are supplementary. The measures of supplementary angles add up to 
so
Therefore,
