The unit price per kg is $5, to find this divide the 9 kilograms into the price $45 the answer is what each kilogram is worth
Our discriminant is 0 so, 
has one real root.
Option C is correct.
Step-by-step explanation:
we need to find the discriminant and the number of real roots for the following equation:
The discriminant is found by using square root part of quadratic formula:
where b =12, a=4 and c=9
Putting values:
To find out the number of real roots using discriminant we have following rules:
- if discriminant b^2-4ac >0 then 2 real roots
- if discriminant b^2-4ac =0 then 1 real root
- if discriminant b^2-4ac <0 then no real roots
Since our discriminant b^2-4ac is 0 so, has one real root.
Option C is correct.
Keywords: discriminant
Learn more about discriminant at:
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Answer: Seventh power of 10
Step-by-step explanation:
X > 1 so exponent will be positive and decimal point moves left. At each point divide X by 10, add 1 to exponent of 10. Exponent starts at zero.
Each time you move the decimal point one to left, you have divided the number by 10, so you have to compensate by multiplying the 10^n factor by 10, say 10 × 10^3 = 10×10×10×10 = 10^4.
12345678 = 12345678 × 10^0
= 1234567.8 × 10^1
= 123456.78 × 10^2
= 12345.678 × 10^3
= 1234.5678 × 10^4
= 123.45678 × 10^5
= 12.345678 × 10^6
= 1.2345678 × 10^7
Each time you move decimal to right, you have multiplied the number by 10, so you have to compensate by dividing the 10^n by 10, subtracting one from exponent.
0.000123 × 10^0 = 0.00123 × 10^-1
= 0.0123 × 10^-2 = 0.123 × 10^-3 = 1.23 × 10^-4
10^-2 / 10 = (1/(10×10)) / 10 = 1/(10×10×10) = 10^-3
The expression that is equivalent to 3t + 3t is 6t
