Answer:
1,020
Step-by-step explanation:
25.5 times 40 equals 1,020
4x^2 + 5xy - y^2 = 6
Implicitly differentiating both sides,
4(2x) + 5(x y' + y) - 2yy' = 0
where y' = dy/dx
8x + 5xy' +5y -2yy' = 0
combining y' terms
y' (5x-2y) +8x +5y = 0
y'(5x-2y) = -(8x+5y)
dy/dx = -(8x+5y)/(5x-2y)
or
dy/dx = (8x+5y)/(2y-5x)
The greatest common factor of 35 and 42 is 7
35/7 is 5 and 42/7 is 6
Hope this helps!
9514 1404 393
Answer:
Step-by-step explanation:
When x represents the number, "the sum of 3 and a number" is (x+3). Twice that sum is 2(x+3). "Is 30" means this expression is equal to 30:
2(x +3) = 30 . . . . an equation for the given conditions
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We can solve this equation by dividing by 2:
x + 3 = 15
x = 12 . . . . . . subtract 3
The number is 12.
