Answer: 2s + 1
Explanation:
1) Given expression: 6s² - 7s- 5 = (3s - 5) ( )
2) The missing factor ( ) is such that when it is multiplied by (3s - 5) the product is 6s² - 7s- 5.
3) Since the first term of the first factor starts with 3s, the first term of the second factor shall be 2s (since they have to yield 6s²). Then, you can write:
6s² - 7s- 5 = (3s - 5) (2s + )
4) The second term of the missing factor is positive because the product (+)(-) = (-) which is the sign of the third term of the polynomial.
5) The second term is such that when multiplied by - 5 is equal to the last term of the polynomial (also - 5), so this second terms is +1.
And you get: 6s² - 7s- 5 = (3s - 5) (2s + 1)
6) You can expand, using distributive property to confirm the result:
(3s - 5) (2s + 1 ) = (3s)(2s) + (3s)(1) - (5)(2s) -(5)(1) = 6s² - 7s- 5, which confirms the result.
Answer:
(A)Cost of Rental A, C= 15h
Cost of Rental B, C=5h+50
Cost of Rental C, C=9h+20
(B)
i. Rental C
ii. Rental A
iii. Rental B
Step-by-step explanation:
Let h be the number of hours for which the barbeque will be rented.
Rental A: $15/h
Rental B: $5/h + 50
- Cost of Rental B, C=5h+50
Rental C: $9/h + 20
- Cost of Rental C, C=9h+20
The graph of the three models is attached below
(b)11.05-4.30
When you keep the barbecue from 11.05 to 4.30 when the football match ends.
Number of Hours = 4.30 -11.05 =4 hours 25 Minutes = 4.42 Hours
-
Cost of Rental A, C= 15h=15(4.42)=$66.30
- Cost of Rental B, C=5h+50 =5(4.42)+50=$72.10
- Cost of Rental C, C=9h+20=9(4.42)+20=$59.78
Rental C should be chosen as it offers the lowest cost.
(c)11.05-12.30
Number of Hours = 12.30 -11.05 =1 hour 25 Minutes = 1.42 Hours
- Cost of Rental A, C= 15h=15(1.42)=$21.30
- Cost of Rental B, C=5h+50 =5(4.42)+50=$57.10
- Cost of Rental C, C=9h+20=9(4.42)+20=$32.78
Rental A should be chosen as it offers the lowest cost.
(d)If the barbecue is returned the next day, say after 24 hours
- Cost of Rental A, C= 15h=15(24)=$360
- Cost of Rental B, C=5h+50 =5(24)+50=$170
- Cost of Rental C, C=9h+20=9(24)+20=$236
Rental B should be chosen as it offers the lowest cost.
<span>For
example, education debt is a fact of life for many of us but we should
view it as an investment in our future. We’d like to think it will
provide us with an opportunity to increase our future income, so that
makes it good debt. Debt for an unaffordable expensive car would be
considered bad debt since it is an unnecessary expense that provides no
income and depreciates in value. Debt for something that depreciates and
provides no income would certainly be considered bad debt. An education
is an investment that appreciates in value by increasing future income
potential... the car is a depreciating expense that will provide no
income and will rapidly depreciate in value (uses up income instead of
providing income). The expensive car may be more fun to have, but the
education will be the best investment.</span>
Answer:
= 6/5 or 1 1/5 or 1.20
Step-by-step explanation:
= 1/2(12÷3)3/5
= 1/2 (4) 3/5
= 2 x 3/5
= 6/5
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Solution:
we are given that
The state of New Jersey has a population of about 8.9 million and its area is about 8700 mi².
we have been asked to find the population density of New Jersey?
As we know the population density is defined as the population per square unit of area.
Population=8.9 million=8900000
Area=8700 mi².
Hence population density can be given as

The population density of New Jersey 1023.