Assuming that NO equals NP, we can set up the equation 17 = 5x - 6. To find x, we add 6 to both sides, resulting in 23 = 5x. I'm not sure if the answer should be in decimal form, but dividing 23 by 5 gives 4.6. Therefore, x equals 4.6. Substituting this back, we find NO = 17 and NP = 17, which I believe is the solution to the problem. Please let me know if this is correct.
- Decreasing. Step-by-step explanation: I'm uncertain about the last two but I can affirm that the others are definitely not applicable.
Answer:
The variation constant is 1/9
The direct variation equation is expressed as y/x= 1/9
Step-by-step explanation:
In the case of direct variation, the formula y/x=k is used where k represents the constant of variation. For this situation, y denotes square yards and x represents square feet. Given that 27 square feet equals 3 square yards, we derive one coordinate (x₁, y₁) as (27 square feet, 3 square yards). Substituting x₁ and y₁ into our equation yields
y/x = k
3 / 27 = k
(3/27) / (3/3) = 1/9* = k
Consequently, the constant of variation is 1/9
Subsequently, as previously mentioned, y/x = k outlines the direct variation equation. Thus, we have y / x = 1/9 as our equation
* We can simplify the fraction since 3 divides both 3 and 27 evenly. To find the greatest common factor, you can list factors of each number and determine the highest shared factor.
Answer: 13.4. Step-by-step explanation: I’m unsure of the range rule of thumb, but I simply calculated the range as 189.2 - 175.8 = 13.4.
Answer: f(x) = -3x + 4
Step-by-step explanation:
The equation is given as
9x + 3y= 12
This represents a linear equation where x is considered the independent variable. This implies that y is dependent on the value of x, meaning that the y values fluctuate according to the x values. To express the function 9x + 3y= 12, we must rearrange it so that y is isolated on one side of the equation. This leads to
9x + 3y= 12
Beginning by subtracting 9x from both sides,[ [TAG_16]]
9x - 9x + 3y = 12 - 9x
3y = 12 - 9x
Next, dividing both sides of the equation by 3 results in
3y/3 = (12 - 9x)/3
y = -3x + 4
in function notation,
y = f(x) = -3x + 4
