18 naked cowboys in the shower
79
Tf is this
1) 3x-17=0 3x=17 x=17/3 2) 3x-25=0 3x=25 x=25/3
The general equation of a parabola is y = ax2 + bx + c.The vertex of a parabola is (-b/2a, c - b2/4a). In our case the vertex is (2, -4). So we have,-b/2a = 2, so that b = -4a, andc - b2/4a = -4 (substitute -4a for b)c - (-4a)2/4a = -4c = 16a2/4a = -4 (simplify)c - 4a = -4 (solve for c)c = 4a - 4By substituting -4a for b, and 4a - 4 for c, the equation becomes,y = ax2 + bx + cy = ax2 + (-4a)x + 4a - 4Since it is given that when x = -3, y = -3, we substitute them into the new equation and solve it for a. So we have,y = ax2 + (-4a)x + 4a - 4-3 = a(-3)2 + (-4a)(-3) + 4a - 4-3 = 9a + 12a + 4a - 4 (add 4 to both side, and add alike terms on the right-hand side)1 = 25a (divide by 25 to both sides)1/25 = a (this is the required answer)If you want to find the equation of the parabola, just substitute 1/25 for a, such as:y = ax2 + (-4a)x + 4a - 4y = (1/25)x2 + [-4(1/25)]x + 4(1/25) - 4y = (1/25)x2 -4/25x + 4/25 - 4y = (1/25)x2 -4/25x + 96/25
y = 5x + 3When x=2,y = 5(2) + 3 = 10 + 3 = 13
f(x) = x2 + 3 ----> f(5) = (5)2 + 3 ----> f(5) = 28
Integers are n, n + 1 and n + 2, so 3n + 3 = 13 + 2n Subtract 2n from each side: n + 3 = 13 Subtract 3 from each side: n = 10 Job done.
25 - 13f = -14 25 - 13f = -14 -25 -25 =0 = -39 -13f = -39 -13/-13 = 1 -39/-13 = 3 f = 3
1, 5, 25 1, 3, 13, 39
13+12=25 1+3+1+2=7
13 and 1/3 times
Factors of 25: 1, 5, 25Factors of 39: 1, 3, 13, 39GCF (25, 39) = 1
4 x 3 + 1 = 13
1, 3, 13, 39 1, 3, 5, 15, 25, 75
2 3/5 ÷ 5 = (2×5+3)/5 ÷ 5/1 = 13/5 ÷ 5/1 = 13/5 × 1/5 = (13×1)/(5×5) = 13/25
Factors of 25: 1, 5, 25Factors of 39: 1, 3, 13, 39Factors of 52: 1, 2, 4, 13, 26, 52GCF (25, 39, 52) = 1
5+3^2-1 = 13 (5+3)^2-1=63
Approx 9.3 months.
What is the value of the digit 3 in the number 13?