Answer:
The answer is, A. it is constant
Step-by-step explanation:
Between the x values 4 and 8 the line does not decrease or increase. It stays in a straight line causing it to be constant.
The first thing to do with these problems is to convert them into y=mx+b form; this will literally show you the answer to slope and y intercept since m=slope and b=y intercept.
To convert, isolate the y and the rest should fall into place. Subtract 2x from 4y and the other side of the equation to get the equation 4y= -2x+9 (put the x first because of mx+b). Then Divide the 4 from y and do the same to the other side to get y= -1/2x+9/4. M= -1/2 so that is the slope. B=9/4 so that is the y intercept
The equation of a circle is written as (x – h)^2 + (y – k)^2 = r^2
h and k are the center point and r is the radius.
In the given equation h = -6 and k = 7 and r would be the square root of 81, which is 9.
Center (-6,7)
Radius = 9
Answer: It becomes the tenth value of the number
Step-by-step explanation:
if the value of 9 in the number 506,092 is moved two places to the right then it changes it position from the ten place to the tenth place. It will become like this 506,020.9 the 9 is being move two places to the right.
Answer:
the other two dimensions are (x + 1) and (x - 6)
Step-by-step explanation:
Given;
Polynomial function as volume of refrigerator = x³ - 3x²- 16x - 12
factor of the function as height of the refrigerator, = x + 2
Divide the polynomial function by the given factor to get the remaining factors, which are the other two dimensions;
x² - 5x - 6
--------------------------------------
x + 2 √ x³ - 3x²- 16x - 12
- (x³ + 2x²)
------------------------------
-5x² - 16x - 12
- (-5x² - 10x)
-------------------------------
-6x - 12
- (-6x - 12)
--------------------------------------
0
Factorize the quotient ( x² - 5x - 6);
x² - 5x - 6 = x² + x -6x - 6
= x (x + 1) - 6( x + 1)
= (x + 1) (x - 6)
Thus, the other two dimensions are (x + 1) and (x - 6)
