Answer:
(- 2, 15 ) and (2, 7 )
Step-by-step explanation:
Given the 2 equations
y = 3x² - 2x - 1 → (1)
2x + y = 11 → (2) ← subtract 2x from both sides
y = 11 - 2x → (3)
Substitute y = 3x² - 2x - 1 into (3)
3x² - 2x - 1 = 11 - 2x ( subtract 11 - 2x from both sides )
3x² - 12 = 0 ( add 12 to both sides )
3x² = 12 ( divide both sides by 3 )
x² = 4 ( take the square root of both sides )
x = ± 
= ± 2
Substitute these values into (3) for corresponding values of y
x = - 2 : y = 11 - 2(- 2) = 11 + 4 = 15 ⇒ (- 2, 15 )
x = 2 : y = 11 - 2(2) = 11 - 4 = 7 ⇒ (2, 7 )
1) 
(given)
2) 
(corresponding angles)
3) 
(transitive property)
4) 
(converse of corresponding angles theorem)
You would use distributive property to distribute the 1/3. That would equal 7m+9
Answer:
175760000
Step-by-step explanation:
There are 26 different letters and 10 different single digits that are a possibility.
Multiply all the possibilities together to get the total possible results.
10x26x26x26x10x10x10
Multiplying all those numbers gets 175760000 different possibilities.
Answer:
Step-by-step explanation:
Given:
Total number of stickers 
Number of stickers given to each student
To find: an equation to find the number of students who got stickers\
Solution:
Let 
denotes number of students.
So,
Number of stickers given to students 
Stickers left
Total number of stickers 
Therefore,
