The quotient means divide.....the difference means subtract
the quotient of 5 and the difference of a number and 3..
5 / (x - 3) <== ur expression
the product means multiply....decreased means subtract
the product of a number and 20 decreased by 11..
20x - 11 <== ur expression
the difference means subtract
the difference of 30 and a number, multiplied by 2
2(30 - x) <== ur expression
sum of two angles of triangle are equal to the exterior angle of triangle
Answer:
<em>True
</em>
Step-by-step explanation:
<em>Rate Of Change Of Functions
</em>
Given a function y=f(x), the rate of change of f can be computed as the slope of the tangent line in a specific point (by using derivatives), or an approximation by computing the slope of a secant line between two points (a,b) (c,d) that belong to the function. The slope can be calculated with the formula
![\displaystyle m=\frac{d-b}{c-a}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7Bd-b%7D%7Bc-a%7D)
If this value is calculated with any pair of points and it always results in the same, then the function is linear. If they are different, the function is non-linear.
Let's take the first two points from the table (1,1)(2,4)
![\displaystyle m=\frac{4-1}{2-1}=3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B4-1%7D%7B2-1%7D%3D3)
Now, we use the second and the third point (2,4) (3,9)
![\displaystyle m=\frac{9-4}{3-2}=5](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B9-4%7D%7B3-2%7D%3D5)
This difference in values of the slope is enough to state the function is non-linear
Answer: True
Answer:
I'm pretty sure it is A
Step-by-step explanation:
By elimination:
y = 3x - 1
y = 2x + 2
Subtract the second equation from the first
0 = x - 1
y = 2x + 2
Subtract the first equation from the second
0 = x - 1
y = x + 3
Subtract the first equation from the second again
0 = x - 1
y = 4
Subtract x from both sides of the first equation
- x = - 1
y = 4
Divide the first equation by (-1)
x = 1
y = 4
<h3>
So, the solution is x = 1 and y = 4 {or: (1, 4)}</h3>