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
The equation for the quadratic variation is:
y = kx^2
Plug in x and y values to solve for 'k'
32 = k(2^2)
32 = 4k
k = 32/4 = 8
Answer:
<u>30 pesos</u>
Step-by-step explanation:
<u>Given</u>
- Had 200 pesos originally
- spends 'y' pesos on a notebook
- Bought 4 colored pens with the rest of the money
<u>Solving</u>
- Let money of the pen = x, money of notebook = y
- 4x + y = 200
- 4x + 80 = 200
- 4x = 120
- x = <u>30 pesos</u>
Answer:
<u>GIVEN :-</u>
- ∠A = 15°
- Length of AB (hypotenuse) = 60 ft
<u>TO FIND :-</u>
- Length of BC
- Length of AC
- Area of ΔABC
<u>FACTS TO KNOW BEFORE SOLVING :-</u>
<u>SOLUTION :-</u>
In ΔABC ,
≈ 15.5 ft
≈ 58 ft
Area of ΔABC =
Answer:
Button #4. The last button. 8p = t.
Step-by-step explanation:
This is because there are 8 pieces of string, and p is equal to the length of one string, so one string times 8 is the total length of all the strings.