Hello from MrBillDoesMath!
Answer:
The correct answer is p >= -5/3
but I don't see that answer as a provided choice (?)
Discussion:
Solve:
2(6p-5) >= 3(p-8) - 1 =>
2*6p - 2*5 >= 3*p - 3*8 -1 =>
12p -10 >= 3p - 24 - 1 => (subtract 3p from both sides)
12p-3p - 10 >= -25 => (add 10 to both sides)
9p >= -25 + 10 = -15 =>
p >= -15/9 = -5/3
Regards,
MrB
Answer: The Subtraction Property of Equality
In the problem that Jax solved he subtract 5 from both sides of the equation. This is an example of the subtraction property of equality.
The property states that if you subtract the same amount from both sides of an equation the equation remains the same.
Answer:
The average rate of change is 
Step-by-step explanation:
The average rate of change from x=a to x=b of f(x) is given by;
We want to find the average rate of change of the function represented in the table from x=-2 to x=2.
From the table f(-2)=25 and f(2)=9
The average rate of change from x=-2 to x=2 is
Answer:
The distance from the base of the ladder to the base of the house is 10ft
Step-by-step explanation:
From the question, we can gather that the ladder makes a right angle shape with the wall of the house.
The length of this ladder which represents the hypotenuse of the right angled triangle is 26ft while the height of the house to the roof is 24ft
To calculate the distance between the base of the ladder and the base of the house, we shall be employing the use of Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the square of the 2 other sides
We have established that the hypotenuse is the length of the ladder which is 26ft
Let the distance we want to calculate be d
26^2 = 24^2 + d^2
d^2 = 26^2 -24^2
d^2 = 676 - 576
d^2 = 100
d = square root of 100
d = 10ft
You can express it as 24 / (8-2)
