It is known that y is the inverse proportional function of X, and when x = 3, y = - 8. (1) write the functional relationship between Y and X. (2) find the value of X when y = 2
Y is the inverse proportional function of X, let y = K / X
If x = 3, y = - 8, then: - 8 = K / 3, k = - 24
So, y = - 24 / X
When y = 2, substituting into the function y = - 24 / x, we get 2 = - 24 / x, and the solution x = - 12
RELATED INFORMATIONS
- 1. It is known that y is the inverse proportional function of X, and when x = - 1, y = 2, find the functional relationship between Y and X, and find the value of X when y = - 1
- 2. It is known that y is the inverse proportional function of X, when x = 2, y = 6. (1) write the functional relationship between Y and X; (2) find the value of y when x = 4
- 3. Y is the inverse proportion function of X. when x = 3, y = 8, find the functional relationship between Y and X
- 4. When k is a value, y = (K2 + k) xk2 − K − 3 is an inverse proportional function, that is, K=______ .
- 5. Given that y = x / k-1 + K & # 178; - 1 is an inverse proportional function, the value of K is obtained
- 6. The general formula of inverse proportion function: y = K / X; (K ≠ 0) then, is k of y = x an inverse proportion function
- 7. When k takes what value, y = (K & # 178; + k) x ^ k & # 178; - K-3 is the inverse proportional function of X?
- 8. Is y = 1 / X & # 178 an inverse scale function? Point out the value of K
- 9. Are y = 1 / X and y = 1 / x-3 inverse scale functions
- 10. It is known that the inverse proportional function y = m + 3 of X passes through points a (2, - M) and B (n, 2n) Finding the values of (1) m and n (2) If there are two points P1 (x1, Y1) and P2 (X2, Y2) on the image, and X1 < 0 < X2, try to compare the size of Y1 and Y2
- 11. It is known that y is the inverse proportional function of X, when x = 2, y = 6 1. Write the functional relationship between Y and x 2. Find the value of y when x = 4
- 12. The linear y equals 2x minus 6 and the inverse proportional function y equals K parts of X (x is greater than 0) of the image intersection at point a (4,2), and X axis intersection at point B 1. Find the value of K and the coordinates of point B 2. Whether there is a point C on the X axis, so that the triangle ABC is isosceles triangle, if there is, find the coordinates of point C, if not, please explain the reason
- 13. (2011. Bazhong) as shown in the figure, if the image of primary function y = 2x-1 and inverse scale function y = K / 2x passes through a (1,1), and y = 2x-1 intersects with y axis at point D, another intersection point with inverse scale function y = K / 2x is B, and there is a point C in the positive half axis of Y axis, so that the area of △ ABC is 6, then the coordinates of point C can be obtained
- 14. 6. Point a is the intersection of positive scale function y = 2x and inverse scale function y = 8 / X in the first quadrant 2. If the line y = 4 / 3 times of X + B passes through a and intersects with X axis at point C, calculate the value of B and C coordinate
- 15. Point a is the intersection of the image with positive scale function y = 2x and inverse scale function y = 8 / X in the first quadrant (there are two questions at the end. Let's look at the supplementary questions.) (1) Finding the coordinates of point a (2) If the line y = 4 / 3x + B passes through point a and intersects with the x-axis at point C, calculate the coordinates of B and point C Dear friends, I am lazy=
- 16. Point a is the intersection point in the first quadrant of the image with positive scale function y equal to 2x and inverse scale function y equal to 8 / X 〔1〕 Find the coordinates of A 〔2〕 If the line y is equal to [4 / 3] x + B passing through point a and intersecting with X axis at point C, the coordinates of B and point C are obtained
- 17. As shown in the figure, it is known that the image of inverse scale function y = KX passes through point C (- 3,8), and the image of primary function passes through point C and intersects with X axis and Y axis at points a and B respectively, if OA = 3 and ab = BC. (1) find the analytic expression of inverse scale function; (2) find the length of AC and ob
- 18. As shown in the figure, the image of inverse scale function Y1 = K1 / X and the image of linear function y2 = k2x + B intersect at a (1, m) B (- 3, n), if k2x + b-k1 / X
- 19. As shown in the figure, it is known that the image of inverse scale function y = K1 / 2x and the image of linear function y = k2x + B intersect at two points a and B, a (2, n), B (- 1, - 2) 2) When what is the value of X, the value of the first-order function is greater than that of the inverse proportion function? 3) find the area of △ AOB
- 20. As shown in the figure, it is known that the image of the inverse scale function Y1 = K1X and the image of the primary function y2 = k2x + B intersect at two points a and B, and a (2, n), B (- 1, - 2). (1) find the relationship between the inverse scale function and the primary function; (2) use the image to write directly when x is in what range, Y1 > Y2