Answer:
Step-by-step explanation:
12=3x-2y
2y+12=3x
2y=3x-12
y=(3x-12)/2
y=mx+b
To be parallel to the line above our line must have the same slope or m. The above line has a slope of 3/2 or 1.5 so the parallel line will be
y=1.5x+b, using point (7,10) we can solve for the y intercept or b
10=1.5(7)+b
10=10.5+b
b=-0.5 so our line is
y=1.5x-0.5
Note: you did not provide the answer options, so I am, in general, solving this query to solve your concept, which anyways would clear your concept.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the inequality

All we need is to find any random value of 'x' and then solve the inequality.
For example, putting x=3









So, at x = 3, the calculation shows that the value of y must be less
than 1 i.e. y<1 in order to be the solution.
Let us take the random y value that is less than 1.
As y=0.9 < 1
so putting y=0.9 in the inequality



Means at x=3, and y=0.9, the inequality is satisfied.
Thus, (3, 0.9) is one of the many ordered pairs solutions to the inequality 3x-4y>5.
8 will go into 66 , 8.25 times
Answer:
Option (A)
Step-by-step explanation:
Te given equation is,
-qx + p = r
Toe find the value of x,
By subtracting p from both the sides of the equation.
-qx + p - q = r - q
-qx = r - q
By dividing the whole equation by (-q),

x = 
x = 
Therefore, Option (A) will be the answer.
Answer:
Average rate of change = 20.2
Rate of change at the left endpoint : f' (5) = 4t = 20
Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4
Step-by-step explanation:
The average rate of change of the function
F(t) = 2t^2 - 1 , [ 5,5.1 ]
solution
=
= [ 2 ( 26.01 - 25 ) / 0.1 ]
= 2.02 / 0.1 = 20.2
Rate of change at the left endpoint : f' (5) = 4t = 20
Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4