Answer:
x=90/16,y=-150/16
Step-by-step explanation:
Simultaneous equation and we are to use elimination method
9x+y=30...(1)
6x-y=15..(2)
Add (1) and (2)
16x=15
Divide both sides by 16
x=15/16
Then substitute the value of x into (2)
6(15/16)-y=15
90/16-y=15
Substrate 15 from both sides
90/16-y-15=0
Add y to both sides
90/16-15=y
Lcm for only the left side which is 16
90-240/16=y
-150/16=y
Therefore x is 90/16 and y is -150/16
Answer:
T = 200 months
Step-by-step explanation:
Given the model to be
dp/dt = p(10-1-10-7p) where p(0) = 6000
dp/dt = p(-1-7p)
dp/dt = -p+7p²
But since P(0) = 6000
We plug this value into the equation
P = -6000+7(6000)²
P = -6000+252000000
P = 251994000. .limiting value
Differentiating dp/dt w.r.t p
dp/dt = -1+14p
dp'/dt = 14p-1
Plugging p(0) = 6000 into the above we have that
dp'/dt = 14(6000)-1
P' = 84000
Time population would be equal to 3/2 the limiting value
T = 3/2× 84000 = 126000
T = 25199400/126000
T = 199.99months
T = 200 months.
Answer:
2 Step-by-step explanation:
in the places there is X you put -3 , -3 squared minus 7 is equal to 9 , 9-7 is equal to 2
Answer:
Length of the final sides: 6 cm and 16 cm
Step-by-step explanation:
The lengths of the sides of the original box are
Later, a piece of tin is cut out from each corner; the piece cut out has the shape of the square: we can call the length of its generic side x. Therefore, the dimensions of the box will now be:
We also know that the area is
And the area can be written as product of length and width, therefore:
So we find:
Solving for x,
Which has two solutions:
x = 13 cm (this is larger than the initial length of the width, therefore we discard it)
x = 2 cm
So, the length of the new sides are
Answer:
The first answer is 14
The second answer is 21
so 21-14 =7
I think this is the right answer
