Answer:
Total money = $30,00,000
Step-by-step explanation:
Given:
4/5 money spend on house
3/4 remaining money spend on luxury yacht
2/3 remaining money spend on trip to space
Remaining $50,000 to charity
Find:
Total money
Computation:
Assume Total money = x
So,
Spend on house = [4x/5]
Spend on luxury yacht = [x-4x/5]3/4 = 3x/20
Spend on trip to space = [x/5-3x/20]2/3 = x/30
Remaining money = x/20 - x/30 = x/60 = $50,000
So,
x/60 = $50,000
x = $300,000
Total money = $30,00,000
Gallons of gas needed = 220/23 = 9.565 gallons
Amount of money spent on gas = $2.35 x 9.565 = $22.48
Answer:
option (a) f(x)= 1/x+2
Step-by-step explanation:
(a) f(x) = 1/ x+2
To find the restriction for domain , we set the denominator =0 and solve for x
x+2 =0, so x=-2
When x=-2 then denominator becomes 0 that is undefined.
So, domain is all real numbers except -2
(b) f(x)= 2x
In this function, there is no denominator or square root or log function
so there is no restriction for x, hence domain is all real numbers
(c) f(x) = 2x-2
In this function, there is no denominator or square root or log function
so there is no restriction for x, hence domain is all real numbers
f(x) = 1/ sqrt(x+2)
if we have square root in the denominator then we set the denominator >0 and solve for x. because square root of negative values are undefined
x+2>0, x>-2
Hence domain is all real numbers that are greater than -2
Answer:
(k-x)(x+y)
Step-by-step explanation:
x×(k-x)+y×(k-x)
=(k-x)(x+y)
