Number 16- 216
number 17- 180
number 18- 252
Answer:
-5/2 x -33/4
Step-by-step explanation:
(-11/2 x + 3) -2 (-11/4 x -5/2)
(-11/2 x + 3/1) -2 (-11/4 x -5/2)
The LCM of 2 and 1 is 2, and the LCM of 4 and 2 is 4.
(-11/2 x + 6/2) -2 (-11/4 x -20/4)
( -5/2x) -2 (-31/4)
-5/2x -2 -31/4
-5/2x -2/1 -31/4
LCM of -2 -31/4 is 4
-2/4 -31/4
-33/4
-5/2x -33/4 in simplest form.
Answer:
Step-by-step explanation:
The general form of a quadratic polynomial is given by:
(1)
You have the following polynomial:
(2)
In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:
(3)
By comparing the equation (1) with the equation (2) you obtain:
a = 3
b = -10
c = 8
Then, you replace these values in the equation (3):
Then, the factorization of the polynomial is:
Answer:
y = 2x + 1
Step-by-step explanation:
You can see a pattern in the group of x's that the numbers go up by 1 Also in the y-set that the numbers go up by 2. So this pattern is linear, that means the "rule" you are looking for does not have exponents or square roots or any very complicated stuff. You can use a guess and check method. Say to yourself how can I get a 7 out, when I put a 3 in? "times by2 and plus 1" works.
3 times 2, and plus1
gives you 7.
Test it on the other numbers.
-1 times2, and plus1
2(-1)+1 = -1
2(0)+1 = 1
2(1)+1 = 3
2(2)+1 = 5
It works for all the numbers.
You can calculate it also, using any two pairs of (x,y) from the data set. Put y-y on top of a fraction and x-x on the bottom. You will get the slope and that is the 2 in the "rule"
(3,7) and (2,5) for example. 7-5 so put 2 on top and 3-2 so put 1 on the bottom. 2/1 is just 2. From the point (0,1) we know the y-intercept is 1. This also gives the equation y=2x+1.
If you are just starting to learn this, probably just guess and check a rule. The rule has to work for all the points.
