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)
Answer:
Step-by-step explanation:
It can be solved by applying formula for Force.
Force = mass * acceleration
Unit of force is N(newton)
one newton is the force applied on body when a body of mass one kg, accelerate at 1/ms^2 under the influence of force.
________________________
given
Mass = 5 kg
acceleration = 6/ms2
plug in the value of mass and acceleration in formula for for we have

Thus 30 N(newton) force is required to accelerate at 6m/s^2
Answer:
16x = 2
4x = 8
8x = 4
24x = 4
Step-by-step explanation:
So you basically multiply 4 by 8 which gives you 32
also since we have alternate interior which is congruent/equal, then we have to make sure that 16x and 4x have the same number. that's why 16x will be 2, because 4x8 is 32 while 16x2 is 32
this one though is same side interior, which is not equal, so the numbers dont have to match.
to find 8x, you multiply 8 with 4 which gives you 32, and lastly 24 x 4 = 96
hope this helps