The factors of 50a³ are 1, 2, 5, 10, 25, 50,
and their products with a, a² and a³ .
The factors of 10a² are 1, 2, 5, 10,
and their products with 'a' and a² .
Their common factors are 1, 2, 5, 10,
and their products with 'a' and a².
Their greatest common factor is 10a² .
(Another way to spot it, easily, is to remember this helpful factoid:
If the smaller number is a factor of the larger number,
then the smaller number is their greatest common factor.
Using the greatest common factor, then . . .
50a³ + 10a² = 10a²(5a + 1) .
Answer:
B 10% off sale, with a total price to pay of 756
Step-by-step explanation:
Retail price (Rp) = $800
Taxes (T) = 5%
- Offer A $75 instant rebate
Total price A (TA) = Rp - 75 + (Rp - 75) 5%
TA = 800 - 75 + (800-75) 5%
TA = 725 + 725 5%
725 5% = 725*5/100 = 36.25
TA= 725+36.25 = $761.25
Total price B (TB) = RP - RP 10% + (RP - RP 10%) 5%
TB = 800 - 800 10% + (800 - 800 10%) 5%
800 10% = 800*10/100 = 80
TB = 800 - 80 + (800 - 80) 5%
TB = 720 + 720 5%
720 5% = 720*5/100 = 36
TB = 720 + 36 = $756
- Offer C 5% off sale plus store pays sales tax
store pays sales tax means Walden's family will not need pay for taxes
Total price C (TC) = RP - RP 5%
TC = 800 - 800 5%
800 5% = 800*5/100 = 40
TC = 800 - 40 = $760
- Offer D a “no tax” sale—the store pays the tax
Means that Walden's family will need pay just the retail price
TD = $800
The beast deal is from the store B
Answer:
Option A is correct, i.e. 12.
Step-by-step explanation:
Given is the table of x&y relationship which represents an exponential function.
The average rate of change for a function can be found using the following formula:-
F_average = { f(b) - f(a) } / (b-a)
Given a = 3 and b = 5.
From the table, f(3) = 8 and f(5) = 32.
So, F_average = (32-8)/(5-3)
F_average = 24/2 = 12.
Hence, option A is correct, i.e. 12.
