Answer:
x=7
Step-by-step explanation:
Answer:
The answer is 18 percent, or 9/50.
Step-by-step explanation:
We first convert the chance of rain on Monday into a fraction.
60%=60/100=3/5.
We then convert the chance of rain on Tuesday into a fraction.
30%=30/100=3/10.
Because the two events are independent(i.e. If it rains on Tuesday doesn't depend on if it rains on Monday) we multiply them together to get the probability they both happen. That chance is:
3/5 * 3/10=(3*3)/(5*10)=9/50(fraction form)=18/100=18%(percent form)
Answer: Vertical Stretch
Step-by-step explanation:
Given: The cost of manufacturing x refrigerators is given by the function :
If the cost doubles fr the year 2011 owing to higher raw material prices, then we multiply the given function by 2, then we get a new function :
which represents a vertical stretch in the graph.
∵ 2 is a positive constant greater than 1 which is multiplied to the parent function f(x). So by the definition of vertical stretch the parent function will be vertically stretched .
Rules of exponents and the distributive property apply.
(x+y)² = (x+y)·(x+y) . . . . . meaning of exponent of 2
= x·(x+y) +y·(x+y) . . . . . . . distributive property
= x·x +x·y +y·x +y·y . . . . . distributive property
= x² +x·y +x·y +y² . . . . . . meaning of exponent of 2, commutative property of multiplication
= x² +(1+1)·x·y +y² . . . . . . distributive property
= x²+2xy+y² . . . . . . . . . the desired form
Thus
(x+y)² = x²+2xy+y²
