Answer:
Slope = -3
y-intercept = (0,-4)
Equation: y = -3x-4
Step-by-step explanation:
We can take any two input-output pairs from the table to find the equation of given function.
Linear function is given by:

Here m is the gradient of the functions which is defined as:

The input-output pairs are:
(x1,y1) = (-1,-1)
(x2,y2) = (0,-4)
First of all,

Putting the value of slope in the equation

Putting (-1,-1) in the equation

The equation will be:

Hence,
Slope = -3
y-intercept = (0,-4)
Equation: y = -3x-4
Answer:
±5sqrt(2) =x
Step-by-step explanation:
65=15+x^2
Subtract 15 from each side
65-15=15-15+x^2
50 = x^2
Take the square root of each side
±sqrt(50) = sqrt(x^2)
±sqrt(25*2) =x
±sqrt(25)sqrt(2) =x
±5sqrt(2) =x
Answer:
The percentage decrease = 0.9%
Step-by-step explanation:
Using the formula
Percentage Decrease = [ (Initial Value - Final Value) / |Initial Value| ] × 100
= [(9.80 - 9.71 ) / (9.80)] × 100
= [0.09 / 9.80] × 100
= 0.009 × 100
= 0.9%
Therefore, the percentage decrease = 0.9%
Step-by-step explanation:
recommended is to convert to decimal
1/5 is 0.2
1/2 is 0.5
1/3 is 0.33
Order is 1/5, 1/3, 1/2