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Answer:
- 3 packages of American (7/8 lb)
- 2 packages of cheddar (1/2 lb)
Step-by-step explanation:
The amount of cheese Mrs Mack needs is an odd number of eighths of a pound. So, she must buy an odd number of the 7/8 pound packages.
If she were to buy any 1/5 pound packages, she would have to buy a multiple of 5 of them so as to have an integral number of eighths. The only suitable multiple is 0.
If Mrs Mack buys 1 of the 7/8 pound packages, she cannot make up the difference with half-pound packages. She must buy 3 of the 7/8 pound packages, for a total of 2 5/8 pounds of American cheese. The remaining pound can be bought as 2 of the 1/2 pound packages.
To buy 3 5/8 pounds, Mrs Mack must purchase ...
3 packages of American cheese (7/8 lb each)
2 packages of Cheddar cheese (1/2 lb each)
Answer:The value of Zlatan's house has increased be 7%. His house is now valued at 749,000. Work out the value of the house before the increase.
Don't worry! I got you! just whip out a calculator and take 749,000 and tomes it by 0.07, which is 7%. That gives you 52,430, which means you take 749,000 and subtract 52430, which ultimately give you an ANSWER of (696,570) Hope that helps!
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
The domain of a function is the set of all values that the x-variable can take.
On the other hand, the range of the function is the set of all values that the function takes when it is evaluated at elements of the domain.
For the given expression:
The denominator is (x-1)^2. Since the denominator must be different from 0, then:
Then, the only restriction for the variable x is not to be equal to 1. Then, the domain of p(x) is the set of all real numbers except 1, which can be written using interval notation as:
Since the exponent of the denominator is 2, then the denominator is always positive. Since the coefficient of the term 1/(x-1)^2 is -1, then the whole expression must always be negative. Additionally, there is no way in which the expression can be equal to 0.
Then, the range of the function is the set of all negative numbers, which can be expressed using interval notation as:
Therefore, the answers are:
nCx⋅px⋅(1−p)n−x
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