2 consecutive odd integers.....x and x + 2.....the product means multiply....the sum means add.
x(x + 2) = 4(x + x + 2) - 1
x^2 + 2x = 4(2x + 2) - 1
x^2 + 2x = 8x + 8 - 1
x^2 + 2x = 8x + 7
x^2 + 2x - 8x - 7 = 0
x^2 - 6x - 7 = 0
(x - 7)(x + 1) = 0
x - 7 = 0 x + 2 = 7 + 2 = 9
x = 7
x + 1 = 0 x + 2 = -1 + 2 = 1
x = -1
there can be 2 answers for this....
(1) 7 and 9
(2) -1 and 1
The next palindromic number is 16061, so he traveled 110 miles. 110 miles/2 hours = 55 mph.
Answer:
Quotient= x^2 + x + 1
Remainder= 0
Step-by-step explanation:
Answer:
y = -3x - 6
Step-by-step explanation:
first, find the slope
(-4, 6)
(1, -9)
remember the equation for the slope

insert given points

((-9) - (6)) / ((1) - (-4))
simplify
( -9 - 6) / (1 + 4)
= -15/ 5
= -3
now insert it into the equation of the line
remember, the equation of the line is
y = mx + b
where "m" is the slope
and "b" is the y-intercept
to find "b", you just have to plug in a point that is found on the line
we know that (-4, 6) and (1. -9) is found on the line, so let's just use (-4, 6) for this problem
y = mx + b
substitute in the slope of this line
y = -3x + b
now substitute in the given points
6 = -3 * -4 + b
and solve it like any algebra problem, by inverse operations and simplifying
6 = 12 + b
-12 -12
-6 = b
so the equation of the line is
y = -3x -6
Plug the values (x,y)=(0,0) into the inequalities:

0 isn't greater than 0, no (0,0) is not a solution to either of these inequalities.
The answer is D.