Answer:
The average rate of change of the function from x=1 to x=2 will be: 10.5
Step-by-step explanation:
Given the function
at x₁ = 1,
f(x₁) = f(1) = -14/(1)² = -14/1 = -14
at x₂ = 2,
f(x₂) = f(2) = -14/(2)² = -14/(4) = -3.5
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate of change = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [-3.5 - (-14)] / [2 - 1]
= [-3.5 + 14] / [1]
= 10.5 / 1
= 10.5
Therefore, the average rate of change of the function from x=1 to x=2 will be: 10.5
Hi, you've asked an incomplete question. However, I inferred you need a brief explanation about The Collatz conjecture.
<u>Explanation:</u>
Put simply, what the Collatz conjecture unsolved problem entails is that if any positive number is picked and it is:
- An even number (eg 2, 4, 6,...), then if they are divided by 2, the new number gotten should undergo the same process (that is to be divided by 2), it is believed your calculation would finally end up at 1. For example, let's pick the number 6, (6÷2=4; repeating the process 4÷2=<u>1</u>)
- An odd number, then if they are multiplied by 3 and 1 is added to the result, it is believed that your calculation would finally end up at 1.
Answer:
x = 6 y = 5
Step-by-step explanation:
<u><em>X VALUE</em></u>
3x+11 = 5x-1
12 = 2x
x= 6
<em><u>Y VALUE</u></em>
4y-1 = 19
4y = 20
y = 5
<h2>
The bench costs $325</h2>
Cost of bench = x
Cost of garden table = x - 50
x - 50 + x = 700
2x - 50 = 700
2x = 750
x = 325
Answer:
Step-by-step explanation:
Note that the quadratic formula has that "plus or minus" due to our taking the square root of some quantity. No square root is involved in the two formulas you've posed.
I have two suggestions here:
1) Write " (x plus or minus y)^2 = x^ plus or minus 2 times xy + y^2 " Note that a + on the left side corresponds to a + on the right side, and same with - .
2) Memorize these two formulas, which in most algebra textbooks you'll find in the section "special products and factoring."
