Answer:
it would be 6
Step-by-step explanation:
125 = 5^3 = 25 * 5
The simplification you are trying to do involves finding the prime factorization of a number. Since 125 is not divisible by 2, move on to 3. 125 is also not divisible by 3, so move on to 5. Then 125/5 = 25, and 25/5 = 5, so 125 = 5^3. The prime factorization of 125 is 5^3.
Answer:
The greatest amount of fizzy drink he can make is 480 ml
Step-by-step explanation:
The ingredients for a fizzzy drink is 5 parts lime juice and 3 parts lemonade
Therefore, we have a total portion of 5 + 3 = 8 parts
Since there ar more parts of lime juice per fizzy drink, we calculate based on lime juice
Also dividing the proportions by we get
5/5 part lime juice and 3/5 parts lemonade or
1 part lime juice and 3/5 parts lemonade or
Thus we have 300 ml lime juice and 3/5× 300 ml lemonade or
300 ml lime juice and 180 ml lemonade = 480
The greatest amount of fizzy drink he can make = 480 ml.
Answer:
Taking P(x) = x³-12x-16 as an example
Step-by-step explanation:
For a polynomial, if
x = a is a zero of the function, then (x − a) is a factor of the function.
We have two unique zeros:
−2 and 4. However, −2 has a multiplicity of 2, which means that the factor that correlates to a zero of −2 is represented in the polynomial twice.
Following how it's constructed
zero at -2, multiplicity 2
zero at 4, multiplicity 1
p(x)=x−(−2))²(x−4)¹
Thus,p(x)=(x+2)²(x−4)
Expand: p(x)=(x²+4x+4)(x−4)
p(x) =x³−12x−16
It could basically be anything smaller than -3. So, some examples are -4,-5-,-6,-7,-8,-9,-10, and so on.
