If the values of the algebraic expressions 5x-7 and 4x + 9 are opposite to each other, then the value of X is equal to () A. 92B. −92C. 29D. −29

If the values of the algebraic expressions 5x-7 and 4x + 9 are opposite to each other, then the value of X is equal to () A. 92B. −92C. 29D. −29

According to the meaning of the question: (5x-7) + (4x + 9) = 0, remove the brackets to get: 5x-7 + 4x + 9 = 0, move item to get: 5x + 4x = - 9 + 7, merge similar items to get: 9x = - 2, coefficient to 1 to get: x = − 29

When y = the value of equation 12-3 (9-y) is equal to that of equation 5 (y-4)

∵12-3（9-y)=5（y-4)
12-（27-3y）=5y-20
12-27+3y=5y-20
5y-3y=12-27+20
2y=5
y=2.5
When y = 2.5, the value of equation 12-3 (9-y) is equal to that of equation 5 (y-4)

Inverse function of y = x square + 1

Inverse function of y = x & # 178; + 1:
y=±√(x-1),x≥1

Is it possible to use the appropriate translation function y = - 3 / 2 x & # 178; to make the new image pass the point (4, - 2)? To say the direction and distance of translation

This problem has many translation methods, the simplest of course is up and down translation
Let the translated function be y = - 3 / 2x ^ 2 + K, then it passes (4, - 2), so - 2 = - 3 / 2 * 16 + K, so k = 22
So the function after translation is y = - 3 / 2x ^ 2 + 22
Of course, there are other translation methods. Theoretically, there are infinitely many translation methods, but the simplest one is up and down translation
Welcome to ask~

1 if the image of the function y = - 3 / 4x + 3 is translated down 6 units to get a new function, then the new function is
2 a barrel with a bottom diameter of 24cm and a height of 32cm, the longest stick that can be held in the barrel is

1. Y = - 3 / 4x-3 (top plus bottom minus, left plus right minus)
2.40 (Pythagorean theorem)

The image of the function y = 4x-2 is obtained by translating the image of y = 4x to () units, and then translating the image of y = 4x-2 upward by 4 units
The analytical expression of straight line is______

The image of the function y = 4x-2 is obtained by translating the image of y = 4x (down) by (2) units,
Then translate the image of y = 4x-2 upward by 4 units, and the analytical expression of the straight line is y = 4x + 2

Function y = x square + (A-1) x + a because a takes different values, the position of function vertex changes. When the position of function vertex is the highest, the value of a is
A.0
B.1
C.2
D.3

D.3
y=x^2+(a-1)x+a
The highest vertex is y = [4 * 1 * a - (A-1) ^ 2] / (4 * 1)
=-a^2/4+3*a/2-1/4
When a = 3, there is a maximum of 3

What is the image vertex of the function y = - x squared-3

The vertex of y = - X2 is (0,0), y = - x2-3 is to move the image down three units, so the vertex is naturally (0, - 3). I hope to master the function image well

What is the image of a function y = x squared?

A parabola with x = 0 as the axis of symmetry and (0,0) as the vertex and opening upward

Figure out function: y = x square - x + 1
Figure out

Y = x & # 178; - x + 1 = (x-1 / 2) &# 178; + 3 / 4, the opening of graph is upward, the minimum value of function is 3 / 4, the symmetry axis of graph is x = 1 / 2, the lowest point is a (1 / 2,3 / 4), and the intersection of function and Y axis is B (0,1), the symmetry point of point (0,1) about symmetry axis is C (1,1)
The parabola y can be drawn from these three points