m=-0.2
-45m + 68 = 84m - 61 39m = 7 m = 7/39
2m^2 - 8 -First you should factor out a two. --> 2(m^2-4) -You now have something squared minus something else squared; You have m squared minus 2 squared. Whenever you have something squared minus something squared as you do in this case, there is a simple rule to remember: You can reduce that expression into the quantity of the square root of the first number or variable plus the square root of the second number or variable Times the quantity of the square root of the first number or variable minus the second number or variable squared. --> In the case of your expression: ----> 2(m+2)(m-2)<-----
5m-t/7
That is an expression and this way it can only be factored. m^2 - 49 (m - 7)(m + 7) Wanting an answer implies an equation. m^2 - 49 = 0 m^2 = 49 m = +/- 7 same answer
12 - m
(81 - m2) = (9 - m)(9 + m)
m=-0.2
It is m + 7
-45m + 68 = 84m - 61 39m = 7 m = 7/39
To express "3 times the quantity m minus 7" mathematically, you would write it as 3(m - 7). This means you are multiplying the quantity m minus 7 by 3. To simplify this expression, you would distribute the 3 to both terms inside the parentheses, resulting in 3m - 21. So, "3 times the quantity m minus 7" simplifies to 3m - 21.
2m^2 - 8 -First you should factor out a two. --> 2(m^2-4) -You now have something squared minus something else squared; You have m squared minus 2 squared. Whenever you have something squared minus something squared as you do in this case, there is a simple rule to remember: You can reduce that expression into the quantity of the square root of the first number or variable plus the square root of the second number or variable Times the quantity of the square root of the first number or variable minus the second number or variable squared. --> In the case of your expression: ----> 2(m+2)(m-2)<-----
5m-t/7
10/5 = M - 9-7 => M = 3 and 2/7 = 23/7
That is an expression and this way it can only be factored. m^2 - 49 (m - 7)(m + 7) Wanting an answer implies an equation. m^2 - 49 = 0 m^2 = 49 m = +/- 7 same answer
m2 - 5m - 14 = 0(m - 7) (m + 2) = 0The equation is true ifm = 7orm = -2
4/7 - 4/m need a common denominator--multiply the first term by m/m and the second by 7/7 4m/7m - 28/7m (4m-28)/7m OR 4/7 - 4/m