Answer:
An Undefined Slope line is vertical and a Zero Slope Line is horizontal.
Step-by-step explanation:
Answer:
(x - 2)(x - 5 + 2i)(x - 5 - 2i)
Step-by-step explanation:
If one zero is 2, then one factor is (x - 2).
Use synthetic division here. Taking the coefficients 1, 8, 6 and -52, divide 2 into them:
2 / 1 8 6 -52
2 20 52
-----------------------------
1 10 26 0
Because the remainder is zero, we know that 2 is a root and (x - 2) is a factor, and that the coefficients of the quadratic quotient are 1, 10 and 26.
The discriminant is thus b^2 - 4ac, or 10^2 - 4(1)(26), or 100 - 104, or -4.
Because the discriminant is negative, we know that there will be two factors which themselves are complex conjugates. One such factor is
10 ± √-4 10 ± 2i
x = --------------- = ---------------
2 2
The complex zeros are thus x = 5 ± 2i.
The corresponding factors are (x - 5 + 2i) and (x - 5 - 2i)
and so the polynomial is
(x - 2)(x - 5 + 2i)(x - 5 - 2i)
Answer:
Choice C: Lauren is faster than Kevin, slower than Jeremy.
Step-by-step explanation:
Ok, so it directly says that Jeremy is going at y=12x, or 12 miles per hour. To find how fast Kevin is riding, take two points of the table and use the slope formula to get the speed(.
Slope Formula: (y2-y1) / (x2-x1)
So lets take the table plots (2, 22) and (4, 33) to do this.
(y2-y1) / (x2-x1)
(33-22) / (4-2)
(11) / (2)
The speed of Kevin is 5.5 miles by hour.
Then, it asks for how fast Lauren is going, saying she is twice as fast as Kevin. Therefore, simply do:
5.5 * 2 = 11 miles per hour
To get the third biker's speed.
Now, with all of the speeds of the bikers, we can now compare them. Here's a listing of their speeds to make things easier to compare:
Jeremy: 12 mph
Kevin: 5.5 mph
Lauren: 11 mph
From this, we can see that Lauren is the second fastest. She is slower than Jeremy but faster than Kevin. Therefore, the correct answer choice is C.
The sum of two numbers
6x6=36
Twice first number
6x2=12
Minus the second
12-6=6
ANSWER
First number=6 Second number=6
