Step-by-step explanation:
Given the expression, 
, we want to know which sign placed in between the two polynomial will produce a binomial.
Using a plus (+) sign to check:
From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.
Using a plus (-) sign to check:
From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.
<em>Hence none of the operations given results in a binomial</em>
Consecutive odd integers are 2 apart
they are x and x+2
the product (x times (x+2)) is 1 less than 4 times their sum
x(x+2)=-1+4(x+x+2)
![x^2+2x=8x+7 minus (8x+7) from both sides [tex]x^2-6x-7=0](https://tex.z-dn.net/?f=x%5E2%2B2x%3D8x%2B7%20minus%20%288x%2B7%29%20from%20both%20sides%20%5Btex%5Dx%5E2-6x-7%3D0)
factor
what numbers multliply to get -7 and add to get -6?
-7 and 1
(x-7)(x+1)=0
set equal to 0
x-7=0
x=7
x+1=0
x=-1
so the x can be 7 or -1
the other number (x+2) can be 7 or 1
test each
7 and 9
7(9)=-1+4(7+9)
63=-1+4(16)
63=-1+64
63=63
true
-1 and 1
-1(1)=-1+4(-1+1)
-1=-1+4(0)
-1=-1+0
-1=-1
true
the 2 integers can be 7 and 9 or -1 and 1 (both pairs of numbers work)
Option two N is greater than three
Find the mean, median, and mode of 14, 15, 3, 15, 14, 14, 18, 15, 8, 16.
klemol [59]
Answer:
mean: 13.2 (average)
median: 14.5 (Center)
mode: 14 and 15 (because data is bimodal so there are two modes
Step-by-step explanation:
The length of the base is 27 and the length of the height is 17.
To find the answer, you need to add up each side twice and set it equal to 88.
x-6+x-6+x+4+x+4=88
That is equal to: 4x - 4 = 88
Add 4 to both sides: 4x = 92
Divide by 4: x = 23
Now plug 23 in for x:
Base: 23 + 4 = 27
Height: 23-6=17
