Answer: f(x) = -3x + 4
Step-by-step explanation:
The function is represented by
9x + 3y= 12
This is a linear equation with x as the independent variable. This means that if x is the independent variable, the y is the dependent variable. The values of y depends on the values of x. In order to represent the function, 9x + 3y= 12, we would rearrange the function such that y stands alone on the left hand side of the equation. This becomes
9x + 3y= 12
Subtracting 9x from both sides,
9x -9x + 3y = 12 - 9x
3y = 12-9x
Dividing the lefthand side and right hand side of the equation by 3, it becomes
3y/3 = (12-9x)/3
y= -3x + 4
using function notation,
y = f(x) = -3x + 4
Substitution or elimination
4.5% of $149.99 is 67.4955 which means he will make $67.50
Answer:
The vertical distance from the origin to the point (2,9) is 9
Or
9.2195
Step-by-step explanation:
It's 9 because y coordinate gives the vertical distance.
Or
It might be 9.2195 because they tell us the point is 2.9 and they are asking the distance from the origin which is zero. So we can use Pythagorean theorem. A²+B²=C² Look at it as a triangle. They have given us A and B, so you can find C² using those information. If you plot the point in the line you know that A=2 and B=9. Using the formula will be 2²+9²=C² ⇒ 4+81=C² ⇒ 85=C². To get rid of the power of 2 in c we have to square both side to cancel it out. C would equal 9.2195
The converse of the statement "If it is summer, then it is warm outside' would be "if it is warm outside then it is summer" Hope this helped!
