Step-by-step explanation:
Apply Rational Root Thereom:
If we have a polynomial, P(x), the possible roots of the polynomial are the factors of the constant divided by the factors of the leading coeffceint.
Our constant is 10 and our leading coefficient is 2 so our possible factors are (the factors are positive and negative).
10:1,2,5,10
2:1,2
So our possible roots are
Remeber to include the plus and minus sign.
For lines to be parallel, the slopes have to be the SAME.
To find the value of k, you can first find the slope of line 1 using the slope(m) formula, and plug in the points:
Now that you know the slope, you can use the slope formula to find k by plugging in what you know:
Multiply (5 - k) on both sides
Multiply -2 on both sides
5 - k = -2(7 + 1)
5 - k = -2(8)
5 - k = -16 Subtract 5 on both sides
-k = -21 Divide -1 on both sides
k = 21
If Mario wants to play for 3hrs or less he should go to Invader arcade, but if he wants to play for more than 3 hours he should go to Pinball arcade.
I attached a photo showing the table and work, hope this helps:)
Step-by-step explanation:
population in 2010=119000
population in 2015=11900*1.063=126497
population in 2020=126497*(1 - 0.037)=126491*0.963= 121817
answer=
=1.0237%