9514 1404 393
Answer:
x = -1
Step-by-step explanation:
A graphical solution can avoid extraneous solutions. The attachment shows the one solution is x = -1.
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Squaring both sides gives ...
x +5 = (x +3)² = x² +6x +9
Putting this in standard form, we have ...
x² +5x +4 = 0
(x +1)(x +4) = 0 . . . . . factor
x = -1 or -4 . . . . . . . . values of x that make the factors zero
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Since we require the root to be non-negative, we must have ...
x +3 ≥ 0
x ≥ -3
The only solution that satisfies this requirement is x = -1. The solution x = -4 is extraneous. The solution is x = -1.
9514 1404 393
Answer:
Step-by-step explanation:
Let d represent the number of dimes. Then 40-d is the number of nickels. The value is ...
0.10d +0.05(40 -d) = 2.60
0.05d = 0.60 . . . . . subtract 2.00
d = 0.60/0.05 = 12 . . . . . the number of dimes
40 -d = 40 -12 = 28 . . . . .the number of nickels
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There are 0 quarters. There are 28 nickels.
Answer:
You can't add those two matrices as they do not have the same dimensions
Step-by-step explanation:
This also relates to subtraction as well (you need to have same dimensions)
The total weight of the two fish together rounded to the nearest ten is 3.7kg