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How do you get 57 out of 1 2 6 and 7?
One way is : 1 + (2 + 6) * 7 = 1 + 8 * 7 = 1 + 56 = 57
How do you algebraically solve these simultaneous equations - 3x plus 2y equals 7 and y equals x2 - 2x plus 3?
To solve:-3x + 2y = 7y = x2 - 2x + 3re-arrange the first to make y the subject and substitute for y in the second:y = 1/2 (7 + 3x)1/2 (7 + 3x) = x2 - 2x + 3And solving the second:1/2 (7 + 3x) = x2 - 2x + 3→ 7 + 3x = 2x2 - 4x + 6→ 2x2 - 7x - 1 = 0→ x = 1/4 (7 ± √57)And substituting back into the (rearranged) first equation:y = 1/2 (7 + 3x)= 1/2 (7 + 3(1/4 (7 ± √57)))= 1/2 (28/4 + 3/4 (7 ± √57)))= 1/8 (49 ± 3√57)giving the two solutions:x = 1/4 (7 + √57) ≈ 3.637, y = 1/8 (49 + 3√57) ≈ 8.956x = 1/4 (7 - √57) ≈ -0.137, y = 1/8 (49 - 3√57) ≈ 3.294Note: the value of y is worked out once for each of the +/- of the √57; in this case +√57 for x leads to +√57 for y, and -√57 for x leads to -√57 for y. I showed the calculation in one for both.To check the result, a substitution can be made in the original equation 2:x = 1/4 (7 ± √57):y = (1/4 (7 ± √57))2 - 2(1/4 (7 ± √57)) + 3= 1/16 (7 ± √57))2 - 8/16(7 ± √57) + 48/16= 1/16 (49 ± 14√57 + 57 - 56 - ±8√57 + 48)= 1/16 (96 ± 6√57) [see below]= 1/8 (49 ± 3√57) as beforeIn simplifying ±14√57 - ±8√57 = (±14 - ±8)√57 the + and - signs of the 14 and 8 correspond to give:"+14" goes with "- +8" to give 14 - (+8) = 14 - 8 = +6"-14" goes with "- -8" to give -14 - (-8) = -14 + 8 = -6
What is -4 plus 5-7?
-6
Can you make 7 using only numbers 2 4 6 8?
Yes, here are most of them: (2 * 4) / 8 + 6 = 7 (2 - 6) / 4 + 8 = 7 (2 / 8) * 4 + 6 = 7 (4 - 6) / 2 + 8 = 7 (4 / 8) * 2 + 6 = 7 (6 / 2) - 4 + 8 = 7 ((6 + 8) * 2) / 4 = 7 (8 / 2) / 4 + 6 = 7
Classifications of mushroom?
1. nasty 2.nasty 3. 4 4 5 6 457 4 57 7
What is 2 57 subtracted 17 as a fraction?
It is 2 4/7.
What numbers go into 57?
1, 3, 19 and 57
What is the solution to the system of equations y equals 4x plus 8 and x squared plus 7x - 2 equals 0?
You havey = 4x + 8x² + 7x - 2 = 0The second is a quadratic involving only x so solve {2} first to find the x values, which can be substituted into the first to find the corresponding y value. x² + 7x - 2 = 0→ x = (-7 ± √(7² - 4×1×-2))/(2×1) = (-7 ± √57)/2→ x = (-7 - √57)/2→ y = 4 × (-7 - √57)/2 + 8 = -6 - 2√57or x = (-7 + √57)/2→ y = 4 × (-7 + √57)/2 + 8 = -6 + 2√57The solution is the two ordered pairs (x, y)::( (-7 - √57)/2, -6 - 2√57) and ((-7 + √57)/2, -6 + 2√57)
What are the common factors of 57 and 84?
The factors of 57 are:1, 3, 19, 57The factors of 84 are:1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84The common factors are:1, 3
How many different ways can the letter WRITTEN be arranged?
7!/2! = 7*6*5*4*3 = 25207!/2! = 7*6*5*4*3 = 25207!/2! = 7*6*5*4*3 = 25207!/2! = 7*6*5*4*3 = 2520
What is 3 and 4 fifths plus 2 and 2 thirds?
(3-4/5) + (2-2/3) = (19/5) + (8/3) = (57/15) + (40/15) = (97/15) = 6-7/15
7 6 4 6 2 6 1 6 6 solve it?
7 6 4 6 2 6 1 6
