Answer:
between 0&1 and 2&3
Step-by-step explanation:
(Assuming that f(x) = 2x^2 - 5x + 1)
To solve this question we just need to find the zeros of the function f(x), and we do that by making f(x) = 0 and finding the values of x:
2x^2 - 5x + 1 = 0
Now we can use Bhaskara's formula:
Delta = b^2 - 4ac = 25 - 4*2 = 17
sqrt(Delta) = 4.12
x1 = (5 + 4.12) / 4 = 2.28
x2 = (5 - 4.12) / 4 = 0.22
the zero x1 = 2.28 is between 2 and 3, and the zero x2 = 0.22 is between 0 and 1, so the answer is 'between 0&1 and 2&3'
As the options A, B, C and D are not clear in the question text, you can just mark the option that has this result.
4y = x + 8
<u>x = 2/3y + 2</u>
4y = x + 8
<u>2/3y = x + 2</u>
<u>3 1/3y </u>= <u> 8 </u>
3 1/3 3 1/3
y = 2 2/5
4(2 2/5) = x + 8
9 3/5 = x + 8
<u> -8 -8</u>
1 3/5 = x
(x y) = (1 3/5, 3)
The question is essentially asking for the least common multiple of 20 and 25. There are several ways you can find the LCM. One easy way is to divide the product by the GCD (greatest common divisor).
GCD(20, 25) = 5 . . . . . see below for a way to find this, if you don't already know
LCM(20, 25) = 20×25/GCD(20, 25)
... = 500/5 = 100
The buses will be there together again after ...
... B. 100 minutes
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You can also look at the factors of the numbers:
... 20 = 2²×5
... 25 = 5²
The least common multiple must have factors that include all of these*, so must be ...
... 2²×5² = 100
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* you can describe the LCM as the product of the unique factors to their highest powers. 20 has 2 raised to the 2nd power. 25 has 5 raised to the 2nd power, which is a higher power of 5 than is present in the factorization of 20. Hence the LCM must have 2² and 5² as factors.
_____
You can also look at the factorization of 20 and 25 to see that 5 is the only factor they have in common. That is the GCD, sometimes called the GCF (greatest common factor).
Answer:
87600
I think
Step-by-step explanation: 365 x 3 = 1095 x $4.00 = 4380 x 5% = 87600
