y = x^2 + 5x -3
y-x =2
Replace y in the second equation with the first one:
x^2 + 5x -3 - x = 2
Simplify by combining like terms:
x^2 + 4x -3 = 2
Subtract 2 from both sides:
x^2 + 4x -5 = 0
Fctor the polynomial:
(x-1) (x+5) = 0
Solve for both X's:
x = 1 and x = -5
Now replace x in the second equation with both value and solve for y:
y -1 =2, y = 3
y - -5 =2, y +5 = 2, y = -3
Now combine the sets of answers:
(1,3) and (-5,-3)
Answer:
8 X 10^(9)
Step-by-step explanation:
Originally we have 10 digit phone numbers excluding the area code.
For each face value we have these in store: 0,1,2,3,4,5,6,7,8,9 (total 10)
But if we exclude 1 and 0 for the first digit, we are left with 8 digits.
8P1 X .......
In a phone number, digits can repeat so we can choose out of these 10 numbers freely after this.
8P1 X 10P1 X 10P1 X...
Adding the area code while assuming 10P1 is just 10...we get:
1 X 1 X 1 X 8 X 10^(9)
= 8000000000
Very interesting question, thanks for the opportunity!
Answer:
Area of STAR is 12, Area of SKCO= 10.5
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
This is assuming the following:
1) fork boxes comes with 12 count.
2) spoon boxes comes in 18 count.
3) knife boxes comes in 24 count.
Find the least common factor:
12: 12, 24, 36, 48, 60, 72
18: 18, 36, 54, 72
24: 24, 48, 72
72 is the least common factor shared by all these numbers.
~
Step-by-step explanation:
a. ( p × q ) ( q + r )
= ( -24 × 12 ) ( 12 + -6 )
= 288 × 18
= 5184
b. ( p × r ) ( r - q )
= ( -24 × -6 ) ( -6 - 12 )
= ( 144 ) ( -18 )
= -2592
