First join the log4 on the left:
log4( x*(x-3) = log4(-7x+21)
Then x = -7, works: -7*(-10)=70 = -7*(-7)+21
x=-3, 18 = 42, does not work
x=3 0=0 works,
However, when one puts x = -7 in the *original* exression, log4(-7) or log4(-10) do not exist (you know why?). So x= -7 is extraneous.
Now x=3 gives log4(0) on the left and right, which does not exist.
So, C is the answer, both are extraneous. Seem to work but indeed don't work in the *original* equation
(2/3) / 3 = 1/x...2/3 to 3 lawns = 1 to x lawns
cross multiply
(2/3)(x) = (3)(1)
2/3x = 3
x = 3 * 3/2
x = 9/2 or 4 1/2 lawns can be cut with a full tank of gas
Answer:
The farmer will need 7 crates.
Step-by-step explanation:
<em>It is given that there are 71 pumpkins in total.</em>
<em>And each crate holds 19 pumpkins.</em>
Let the number of crates required be<em> "n".</em>
The total number of pumpkins can be calculated by multiplying number of pumpkins in each crate with total number of crates.
Thus, the equation is
Thus, the farmer needs 7 crates to hold total of 71 pumpkins.
1/2 + 3/18 = 9/18 + 3/18 = 12/18 = 2/3
3/45 + 6/50 = 1/15 + 3/25 = 5/75 + 9/75 = 14/75
Answer:
I dont think you have included the whole question please do so
Step-by-step explanation:
