-7x-3x+2=-8x-8 | combine like terms
-10x+2=-8x-8 | add 8x
-2x+2=-8 | subtract 2
-2x=-10 | divide by -2
x=5
Answer:
.12 cents
Step-by-step explanation:
12.00 / 100 12 divided by 100 = 12 cents or .12
Answer:
=5/9 or 0.5
Step-by-step explanation:
Answer:
1) -15/32
2) 2/15
3) -203.5
4) -3/2 = -1.5
5) 10/3 = 3 1/3
Step-by-step explanation:
For 1, you just multiply the numerators and denominators together (3 by 5, 4 by 8) and then because it is negative, add the negative sign.
For 2, you multiply again, but because there are 2 negative signs, it becomes positive.
For 3, you divide 81.4 by 0.4, you could also divide 814 by 4.
For 4, you keep change flip, so the equation would become -9/4 (-2 1/4=-9/4) and 3/2 would become 2/3. The equation would be (-9/4 * 2/3). Then, you would get -18/12 which is -3/2.
For 5, you just multiply 4/3 by 5/2 which is 20/6 and because 2 negatives, it becomes positive.
Answer:
130
Step-by-step explanation:
You want the determinant of the matrix ...
![\left[\begin{array}{ccc}4&3&2\\-3&1&5\\-1&-4&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%263%262%5C%5C-3%261%265%5C%5C-1%26-4%263%5Cend%7Barray%7D%5Cright%5D)
One way to figure it is as the difference between the sum of products of the down-diagonals and the sum of products of the up-diagonals:
D = (4)(1)(3) +(3)(5)(-1) +(2)(-3)(-4) -(-1)(1)(2) -(-4)(5)(4) -(3)(-3)(3)
= 12 -15 +24 +2 +80 +27
D = 130
The determinant of the coefficient matrix is 130.
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Many scientific and graphing calculators and web sites can perform this calculation for you.
