Answer:
8 and 10
Step-by-step explanation:
First, let's look at the factors of 80.
1 • 80 = 80
2 • 40 = 80
4 • 20 = 80
5 • 16 = 80
8 • 10 = 80
Look at each pair and evaluate their sum.
1 • 80 = 80
2 • 40 = 80
4 • 20 = 80
5 • 16 = 80
8 • 10 = 80
Our last pairing multiplies to 80 and adds up to 18. Therefore, your answer is 8 & 10.
Hope this helps!
There are 11.3 yards in 33.9 feet!
Step-by-step explanation:
Answer:
signs of the constants in the binomial factors are negative
Step-by-step explanation:
Assuming the first term (a) is positive, the fact that c is negative means the constants in the binomial factors have the same sign. The negative b means that sign is negative.
2x^2 -7x +6 = (x -2)(2x -3)
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<em>Further comment</em>
c is the product of the constants in the binomial factors so will be positive when both those constants have the same sign.
b is the sum of the constants in the binomial factors. If both factors have the same sign (c > 0), then those constants have the same sign as b.
In this analysis, "a" is assumed to be positive. If it is not, then the same analysis can be done after reversing all of the signs.
800 different sets of digits
Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.
For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.
So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits
