Since you didn't provide the points, we can't find the exact answer. However, I can explain how to do the problem for you.
To test the point, just plug in the x and y values and see it the statement is true or false.
Let's try: (3, 4)
Plug in the points and evaluate:
2(4) = 2 + 3
8 = 6
FALSE
Since this is a false statement, then the point is not on the line.
Answer:
first, subtract 17 on both sides: x²+2x-16=0
this cannot be factored, so use the quadratic formula to solve for x:
b²-4ac=2²-4(10(-16)=4+64=68
√68=2√17
so x=(-2+2√17)/2 or x=(-2-2√17)/2
x=-1+√17 or x=-1-√17
Step-by-step explanation:
Answer: you would have $1772 at the end of 10 years.
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
P = $1200
r = 3.9% = 3.9/100 = 0.039
t = 10 years
Therefore,
A = 1200 x 2.7183^(0.039 x 10)
A = 1200 x 2.7183^(0.39)
A = $1772 to the nearest dollar
Answer: Smoothing constant
Step-by-step explanation:
Answer:
Figure M
Step-by-step explanation:
Figure P has vertices at points (-2,4), (-2,8), (-6,8) and (-6,6).
Consider figure M with vertices (-4,-4), (-4,-8), (-8,-8) and (-8,-6).
1. Translate figure M 2 units to the right. This translation has the rule:
(x,y)→(x+2,y),
so
- (-4,-4)→(-2,-4);
- (-4,-8)→(-2,-8);
- (-8,-8)→(-6,-8);
- (-8,-6)→(-6,-6).
2. Reflect the translation image figure M across the x-axis according to the rule
(x,y)→(x,-y)
Thus,
- (-2,-4)→(-2,4);
- (-2,-8)→(-2,8);
- (-6,-8)→(-6,8);
- (-6,-6)→(-6,6).
