Right this is pretty simple all you do is sub the points to the equation given.
So first try the first point (2,-1) in y=-3x+7
==> -1=-3(2)+7
==>-1=1 this is not equal therefore not the right points
Then try (1,10)
==>10=-3(1)+7
==>10=4 this is incorrect therefore not the right points
Next try (3,-2)
==>-2=-3(3)+7
==>-2=-2 this is equal therefore this is the coordinates to the linear equation.
Finally try the last points to make sure you are correct.
==> -8=-3(-5)+7
==>-8=22 this is incorrect also.
Therefore the only coordinates that satisfies the equation is (3,-2)
27^(4/3)+4^(3/2) can be simplified using roots.
The cube root of 27 is 3 and the square root of 4 is 2. This removes the denominators from the expression. The expression is now 3^4+2^3.
Simplify this and you get 81+8=89
I believe there is no such AP...
Recursively, this sequence is supposed to be given by

so that




has to be an integer, which means there are 4 possible cases.
Case 1:
and
. But

Case 2:
and
. But

Case 3:
and
. But

Case 4:
and
. But

Answer:
-0.39mL
Step-by-step explanation:
Let x be the number.
The expression would be: 0.40 + x = 0.01
Apply algebra to the equation to solve for x. You can subtract 0.40 from each side to simplify the expression. Here's what it should look like after applying algebra: x = -0.39
Therefore the answer is -0.39mL