Y = mx + b. This linear graph passes through A(0,50) and B(10,51)
m = (y₂-y₁)/(x₂-x₁)
m= (51-50)/10-0)
m=(1)(10)
y = (1/x) + b. To find b, you plugin the coordinates of either A or B,
say A(0,50):
50 = (1/10).(0) + b
50 = 0+b and b= 51
Hence the equation is y =0.1x + 50
Point slope equation for point (h,k) and slope m is given by
y-k=m(x-h)
compare given equation with formula
we get h=-7, k=3
so the required point is (-7,3)
Answer:
0; 10; 20
Step-by-step explanation:
x is the independent variable
y is the dependent variable
y is dependent on x
a) For what value of the independent variable will the value of the function be equal to −6
y=0.3x−6
-6 = 0.3x-6
0=0.3x
x = 0
Therefore, if the independent variable is 0, the value of the function will be -6.
b) For what value of the independent variable will the value of the function be equal to −3
y=0.3x−6
-3 = 0.3x-6
0.3x = -3+6
0.3x = 3
x = 3/0.3
x = 10
Therefore, if the independent variable is 10, the value of the function will be -3.
c) For what value of the independent variable will the value of the function be equal to 0.
y=0.3x−6
0=0.3x-6
6 = 0.3x
x = 6/0.3
x = 20
Therefore, if the independent variable is 20, the value of the function will be 0.
Answer:
Step-by-step explanation:
Given
Required
Find the equivalent
We start by changing the / to *
Factorize 10a - 5
Expand 4a² - 1
Express (2a)² - 1² as a difference of two squares
Difference of two squares is such that: 
The expression becomes
Combine both fractions to form a single fraction
Divide the numerator and denominator by 2a - 1
Simplify the numerator
Hence,
=
They model various situations where there is an increasing curve. An example is if you throw a baseball and it curves back down as gravity has more and more of a affect on it. This would be a different equation than if you threw a basketball as the basketball wouldn't go as high but would have about the same downwards acceleration due to gravity.
