Answer:
- f(x) = x^3 -4x
- f(x) = -2x^3 +8x
Step-by-step explanation:
The zeros are at -2, 0, and +2, so the function will be of the form ...
f(x) = k·(x +2)(x)(x -2) . . . . . for some vertical expansion factor k
You recognize that (x+2)(x-2) is the factoring of the difference of squares, so ...
f(x) = k·x·(x^2 -4)
If we let x=1, we get
f(1) = k·(1)(1 -4) = -3k
For the first graph, it looks like we have ...
f(1) = -3 = -3k . . . . so, k = 1
For the second graph, it looks like we have ...
f(1) = 6 = -3k . . . . so, k = -2
_____
In standard form, the first graph is described by ...
f(x) = 1·x·(x^2 -4) = x^3 -4x
The second graph is described by ...
f(x) = -2x·(x^2 -4) = -2x^3 +8x
Answer:
x= 0
Step-by-step explanation:
Here in this question, we are given a linear equation of single variable x, and we have to solve the equation for x.
The given equation is 9x -7= -7 ....... (1)
Now, taking all the constant terms to the right side of the equation and all the x terms to the left side of the equation.
Hence, the equation becomes
9x = -7 +7
⇒ 9x =0 {Since, -7 and 7 cancels each other}
⇒ x= 0/9= 0 (Answer) {Since zero divided by any number is equal to zero}
Answer: A and D
Step-by-step explanation: You multiply the both the numerator and the denominator and then you simplify
Answer: 82:73
Step-by-step explanation:
To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero). For example, if we divide both terms in the ratio 3:6 by the number three, then we get the equal ratio, 1:2. Do you see that these ratios both represent the same comparison?