Answer:
We conclude that the person is saving $60 dollars per week.
Hence, option C is true.
Step-by-step explanation:
Given the table chart
Week Saving Money
2 60
4 120
6 180
8 240
We know to determine the slope to find the rate of change.
Taking the points (2, 60) and (4, 120)
Rate of change = Slope = [y₂ - y₁] / [x₂ - x₁]
= [120 - 60] / [4 - 2]
= 60 / 2
= $30 dollars per week
Now, taking the points (4, 120) and (6, 180)
Rate of change = Slope = [180 - 120] / [6 - 4]
= [60] / [2]
= $30 dollars per week
Now, taking the points (6, 180) and (8, 240)
Rate of change = Slope = [240 - 180] / [8 - 6]
= [60] / [2]
= $30 dollars per week
- This concludes that the rate of change is contant i.e. $30 dollars per week
Therefore, we conclude that the person is saving $60 dollars per week.
Hence, option C is true.
Hey there! I'm happy to help!
Let's call the number of weeks w. Since we want their balances, to be equal, we can create an equation.
1000-55w=800-30w
Now we solve for w. We add 30w to both sides.
1000-25w=800
Subtract 1000 from both sides.
-25w=-200
Divide both sides by -25.
w=8
Therefore, Mark and Patricia will have the same amount of money in their savings accounts after 8 weeks.
Have a wonderful day! :D
You can do synthetic division twice immediately (or once if you know how to handle x^2 - 25 all at once. I'll use 2 divisions. x^2 - 25 is (x + 5)(x - 5). Both of them are zeros to the given equation which means that x = +5 and
x = - 5 are both zeros of the given quartic.
5 1 -2 -33 50 200
5 15 -90 -200
=====================================
1 3 -18 -40 0
What you have now is x^3 + 3x^2 - 18x - 40 = 0
Do another synthetic division
-5 1 3 -18 -40
-5 10 40
============================
1 -2 -8 0
The result is
x^2 - 2x - 8 = 0 which factors.
(x + 2)(x - 4) = 0
Answer
The factors are (x + 2)(x - 4)(x + 5)(x - 5) = 0
Long division
x^2 + 0 + 25 ||x^4 - 2x^3 - 33x^2 + 50x + 200 ||x^2 - 2x - 8
x^4 + 0 + 25x^2
==================
-2x^3 -8x^2 + 50x
-2x^3 + 0 + 50x
=================
-8x^2 + 0 +200
-8x^2 + 0 + 200
==================
0
-1.1,-0.8,-0.7,0.1,0.9,2.5
The answer is b because Ashley and Camden are the only quadrilaterals
