Step-by-step explanation:
3(x + 1)(x + 7) − (2x + 5)²
3(x² + 8x + 7) − (4x² + 20x + 25)
3x² + 24x + 21 − 4x² − 20x − 25
-x² + 4x − 4
-(x² − 4x + 4)
-(x − 2)²
A squared number is never negative (provided x is a real number), so -(x − 2)² is never positive.
Use PEMDAS, Parenthesis and Exponents, then Multiplication and Division, then Addition and Subtraction, all from left to right in the line. So 68+7=75, and 93+75=168
Answer:
Option D.
Step-by-step explanation:
we have
-----> equation A
-----> equation B
Solve the system by elimination
Multiply both sides equation A by -1

-----> equation C
Adds equation C and equation B

<em>Find the value of x</em>
substitute the value of y in either equation

The solution is the point (-1,2)
In this problem Option A,B and C are correct
The option D not result in a system with a pair of opposite terms
because
Multiply both sides of equation B by -3

-----> equation C
Multiply both sides of equation A by 5
----> equation D
so
equation C and equation D not have a pair of opposite terms
Answer:
let the number of door tickets be x
so, eventually the number of advanced tickets will be. x-30
the total cost=2630.
(x-30)3+5x=2630
3x-90+5x=2630
8x-90=2630
8x=2630+90
8x/8=2720/8
x=340
x-30
340-30
310.
total tickets sold=310+340=650
Therefore, the total tickets bought was 650, 310 was advanced and 340 was door tickets
Answer:

Step-by-step explanation:
Slope-intercept form is given by
.
Since Farmer Coraz purchases 10 items every month, he will have
items every
months. Since he initially starts out with 0 items, at
, y is also equal to 0, and thus we have the final equation:

*Note: while slope-intercept form is
, since the value of
is 0, it is possible to omit it from the final equation and both answers should receive credit.