Answer:
a) linear
Step-by-step explanation:
Linear keeps a steady pace throughout the function. in the graph, the function is decreasing by 0.5
Answer:
a. 1 1/2 (or 3/2)
b. 2/3
c. 1
d. 1
Step-by-step explanation:
Part A: (1,1) (7,5)
To determine the slope, you will use the equation m=(y2-y1)/(x2-x1). Keep in mind that it doesn't matter what point you use for (x1, y1) or (x2, y2).
Let's plug in the numbers for part a:
m=(7-1)/(5-1)
Let's then solve the problems inside the parentheses:
m=6/4
And finally, we simplify:
m=3/2 (or 1 1/2 depending on what your teacher wants for an answer)
For these others, I will just go through the steps and not explain them, if you need help or don't understand something I'm doing, either look back at what I did for part a or comment on this answer.
Part B: (1,1) (5,7)
m=(5-1)/(7-1)
m=(4/6)
m=2/3
Part C: (2,5) (-1,2)
m=(-1-2)/(2-5)
m=(-3/-3)
m=1
Part D: (2,5) (-7,-4)
m=(-7-2)/(-4-5)
m=(-9/-9)
m=1
One nice thing about this situation is that you’ve been given everything in the same base. To review a little on the laws of exponents, when you have two exponents with the same base being:
– Multiplied: Add their exponents
– Divided: Subtract their exponents
We can see that in both the numerator and denominator we have exponents *multiplied* together, and the product in the numerator is being *divided* by the product in the detonator, so that translates to *summing the exponents on the top and bottom and then finding their difference*. Let’s throw away the twos for a moment and just focus on the exponents. We have
[11/2 + (-7) + (-5)] - [3 + 1/2 + (-10)]
For convenience’s sake, I’m going to turn 11/2 into the mixed number 5 1/2. Summing the terms in the first brackets gives us
5 1/2 + (-7) + (-5) = - 1 1/2 + (-5) = -6 1/2
And summing the terms in the second:
3 + 1/2 + (-10) = 3 1/2 + (-10) = -6 1/2
Putting those both into our first question gives us -6 1/2 - (-6 1/2), which is 0, since any number minus itself gives us 0.
Now we can bring the 2 back into the mix. The 0 we found is the exponent the 2 is being raised to, so our answer is
2^0, which is just 1.
Example :
x y
1 3
2 6
3 9
4 12
first thing u do is pick any 2 points (x,y) from ur table
(1,3) and (2,6)
now we sub those into the slope formula (y2 - y1) / (x2 - x1) to find the slope
(y2 - y1) / (x2 - x1)
(1,3)....x1 = 1 and y1 = 3
(2,6)...x2 = 2 and y2 = 6
sub
slope = (6 - 3) / (2 - 1) = 3/1 = 3
now we use slope intercept formula y = mx + b
y = mx + b
slope(m) = 3
use any point off ur table...(1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = 3(1) + b
3 = 3 + b
3 - 3 = b
0 = b
so ur equation is : y = 3x + 0....which can be written as y = 3x...and if u sub any of ur points into this equation, they should make the equation true....if they dont, then it is not correct
and if u need it in standard form..
y = 3x
-3x + y = 0
3x - y = 0 ...this is standard form
Answer:
5
Step-by-step explanation:
6x^2 + 7x^3 + 8x^5 +9
Write in order from highest power to lowest power
8x^5 + 7x^3 + 6x^2 +9
The highest power ( largest exponent) is 5
The degree of the polynomial is 5
