3x-2y=-5
3y-4x=8
1) multiply the first equation by 3
3(3x-2y=-5) this will give you the new equation: 9x-6y=-15
2) multiply the second equation by 2
2(3y-4x=8) this should give you the equation: 6y-8x=16
3) combine both equations/ like terms
9x-6y=-15
6y-8x=16
4) -6y and 6y cancel out
9x=-15
-8x=16
5) 9x and -8x combine to make 1x or just x and -15 combined with 16 gives you just 1
6) we are now left with:
x=1
7) plug in the x to any of the two original equations ( i chose the first)
3x-2y=-5
3(1) - 2y = -5
3 - 2y = -5
-2y = -8
y = 4
When you plug in the x=1 you are given 3(1) - 2y = -5
Distribute the 3 and you should have 3 - 2y = -5
Subtract 3 from 3 (this cancels out) then from -5
This should leave you with -2y = -8 ( -3 and -5 add to -8)
Divide by -2 ( -2 divided by -2 cancels out)
-8 divided by -2 gives you 4 (two negatives make a positive)
So, y=4 and x=1
To check, plug in x=1 and y=4 into one equation. when you're done with that you can plug them into the other. when you plug them into the first equation you get -5=-5 which means they worked. when plugged into the second, the result is 8=8 which means x=1 and y=4 worked for both equations.
This is the concept of linear scale factors.
Diameter of hair strand is 0.00006=6×10^-5 inches
Diameter of sand grain is 1.3x10^-3 inches
Thus the the number of times the hair sand grain is bigger than hair strand will be:
linear scale factor=(diameter of sand grain)/(diameter of hair strand)
=(1.3×10^-3)/(6×10^-5)
=21 2/3 times
Answer:
Table 4th is showing the function that is decreasing only over the interval
Step-by-step explanation:
We have been given four tables below:
To determine the function that is decreasing only in the given interval
We will check the values after -1 in all four tables
The table in which values is only decreasing after -1 will be the table which shows a function is decreasing only.
In table 1 the value of x is increasing
In table 2 and 3 the value is increasing and then decreasing but we will consider only decreasing case
Therefore, Table 4th is correct.
55,57,59
Let the smallest integer = x
171= (x) + (x+2) + (x+4)
171= 3x + 6
3x = 165
x= 55
therefore the integers are 55, 57, 59
Answer:
the answer is the last one
Step-by-step explanation:
so the answer is d
