Answer:
D={3,9}
The numbers are 3 and 9
Step-by-step explanation:
The set A
={,,,,,,,,,}
Let B be the sub set of A containing odd numbers
B={1,3,5,7,9}
Let C be the sub set of A containing multiply of 3
C= {3,6,9}
Now let D be the be the sub set of A containing both odd numbers and multiples of 3
D={3,9}
Answer:
The linear function that discribes the size of the population in function of the t in years is p = 700t - 1,397,300
Step-by-step explanation:
A linear function is defined by a line, so in order to determine the linear function we can use the two points that were given to us to create a line equation and use that as our linear function. The points given to us were (2009; 9000) and (2014; 12500), in this case the year is our value of "x" and the size of the population is our value of "y". The first step is to find the slope of the line which is given by:
m = (y2 - y1)/(x2 - x1)
m = (12500 -9000)/(2014 - 2009) = 3500/5 = 700
Then we can use the slope and the first point to build the equation:
p - 9000 = 700*(t - 2009)
p = 700t - 1406300 + 9000
p = 700t - 1397300
Answer:
1 1/3 minutes
Step-by-step explanation:
Gasoline is pumped at rate of 3 gallons per minute into a container that already has 4 gallons inside
From the above question, we are to calculate the time at which the gasoline is pumped into the container
Hence:
Time = Number of gallons/Rate
Number of gallons = 4
Rate = 3 gallons per minutes
Hence:
Time = 4 gallons/3 gallon per minutes
Time = 1 1/3 minutes
The time at which the gasoline is pumped into the container is 1 1/3 minutes
Answer:
3rd option
Step-by-step explanation:
square 4 times 12
square root of 4 is 2
so itt would be 2/12
Answer:
Step-by-step explanation:
y = 1/3x + 6
y = 1/4x + 3
this is just a matter of substitution...subbing in one y for the other
y = 1/3x + 6.....so sub in 1/3x + 6 in for y, back into the second equation or u can work it the other way and sub in 1/4x + 3 in for y, back into the first equation....either way will work
1/3x + 6 = 1/4x + 3
1/3x - 1/4x = 3 - 6
4/12x - 3/12x = -3
1/12x = -3
x = -3 * 12
x = - 36
now sub that back into either of ur original equations to find y
y = 1/3x + 6
y = 1/3(-36) + 6
y = - 12 + 6
y = - 6
solution is : x = -36 and y = -6 or (-36,-6)
