Answer: (m-21)(m+1)
Step-by-step explanation:
To factor this trinomial, find two numbers that multiply to -21 and add to -20:
(-21)(1)=-21
-21+1=-20
They are -21 and 1.
Add -21 and 1 to m to get both factors:
(m+(-21)) and (m+1)
(m-21) and (m+1)
Multiply them to get the answer:
(m-21)(m+1)
we have f(x)=15.2^x we have f(6)=960
It means we at x=6 the population of frog is 960 where the x is meant for sixth week .
so the correct option is D )the number of weeks that have passed
It seems that some the work is already here, but I'd be glad to!! So for #3 which is 9x^2+15x, we can factor out both a 3 and an x (3x) so we know that 3x * 3x =9x^2 and 3x * 5 = 15x so once we take the 3x out of the equation, we are left with 3x(3x+5) and that's as far as you can factor.
For #4, we see that the common factor is 10m because 10m * 2n = 20mn and 10m * 3 = 30m so once we take 10m out of the original, it becomes 10m(2n-3)
For #5, this one the common factor is 4xy because 4xy * 2xy=8x^2y^2 and 4xy*x= 4x^2y and 4xy*3=12xy so once we take the 4xy out of the equation, it becomes 4xy(2xy-x-3)
Hope this helps!
Answer:
92
Step-by-step explanation:
We can start from the given line's coefficients and translate the line from the origin to the given point.
4(x -(-2)) -(y -3) = 0
4x +8 -y +3 = 0
The equation of the desired line is ...
4x -y = -11
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For standard form line ax+by=c, any parallel line will have only a different value of c. For c=0, the line goes through the origin (0, 0). To make it go through point (h, k) we can write it as
a(x-h) +b(y-k) = 0
which is completely equivalent to
ax +by = ah +bk