Answer:
The integers could be 21 and 22
or -22 and -21
Step-by-step explanation:
If two integers are consecutive, then it means that their difference is just 1
if we have the initial value as x , then the other value could be x-1 or x + 1
let us go with x-1
So the product here is;
x(x-1) = 462
x^2-x = 462
x^2 -x -462 = 0
x^2 -22x + 21x - 462 = 0
x(x-22) + 21(x-22) = 0
(x + 21)(x-22) = 0
x = -21 or x = 22
If x = -21
x -1 = -21-1 = -22
if x = 22
x -1 = 22-1 = 21
Answer:
B
Step-by-step explanation:
let X represent the smaller paintings and Y represent the larger paintings
since she bought 8 paintings
X+Y=8
She bought all the eight paintings for $230 and X is worth 25 while Y is worth 40
25×X+40×Y=230
25X+40Y=230
Answer:
19
Step-by-step explanation:
5 times 3 is 14 plus 4 is 19
<h3>
Answer: Non proportional</h3>
Proportional equations are of the form y = kx, for some fixed constant k. The k value is the constant of proportionality.
The +100 at the end is why we don't have a proportional equation.
Visually all proportional equations go through the origin, meaning the lines have y intercept of 0. For y = 230x+100, the y intercept is 100.
X^3 - x^2 - x + 1 = 0
Plug in x = 1:-
1 -1 - 1 + 1 = 2 - 2 = 0 so x =1 is a root.
If it has multiplicity 3 then the function will factor to (x - 1)^3:-
(x - 1)^3 = (x - 1)(x^2 - 2x + 1) = x^3 - 2x^2 + x - x^2 + 2x - 1
= x^3 - 3x^2 + 3x - 1 so it is FALSE
