Answer:
3x + 1 <-5 is x<−2
5x-1> 29 is x>6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x<−2
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x>6
Answer:
shirt= $8
cap=$3
Step-by-step explanation:
rearrange one of the equations
y=11-x
then plug into the other equation
2x+3(11-x)=25
solve
2x+33-3x=25
-x+33=25
subtract 33 from both sides
-x=-8
divide by -1
x=8
the put that answer into original equation
8+y=11
subtract 8 from both sides
y=3
Answer:
Number of points, x, Number of segments, y
x: 2, 3, 4, 5, ... N,. ...
y: 1, 3, 6, 10, ... (N-1)(N)/2, ...
Step-by-step explanation:
Adding Nth point, there are N-1 new segments,
and (sum over {i = 1 to N-1} of i) total segments. As Gauss knew when he was c.10 yo, the sum is (N-1)(N)/2.
5n² - 8n - 21 → (5)(- 21) = -105 (find 2 numbers whose product is 105 and sum is -8)
= 5n² - 15n + 7n - 21
= 5n(n - 3) + 7(n - 3)
= (5n + 7)(n - 3)
*****************************************************
6n² + 53n - 79 → (6)( -79) = -474 (find 2 numbers whose product is -474 and sum is 53) DOES NOT EXIST! only factors are: (1, 474) (2, 237) (3, 158) (6, 79)
= Prime
*******************************************************
4n² - 25 (this is the difference of two squares)
= √(4n²) +/- √(25)
= 2n +/- 5
= (2n + 5)(2n - 5)
Answer:
0.0009
Step-by-step explanation:
