Answer:
x = 4, x = 8
Step-by-step explanation:
To find the roots equate to zero, that is
- x² + 12x - 32 = 0 ( multiply through by - 1 )
x² - 12x + 32 = 0
Consider the factors of the constant term (+ 32) which sum to give the coefficient of the x- term (- 12)
The factors are - 4 and - 8, since
- 4 × - 8 = + 32 and - 4 - 8 = - 12, thus
(x - 4)(x - 8) = 0
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 8 = 0 ⇒ x = 8
Answer:
3 Bookmarks
Step-by-step explanation:
1) Find the remaining money which is 0.96
2)Divide 0.96 evenly into 3 people, you should get O.32
3) If each bookmark costs 0.10, and each person gets 0,32 the greatest number of bookmarks they can get is 3.
Let x is Casey's sister age.
<span>3 years ago:
</span><span>Casey was twice as old as his sister: 2a - 3
Now:
</span><span>he is 5 years older than his sister: a + 5
2a - 3 = a + 5
subtract a to both sides
2a - 3 -a = a + 5 - a
simplify
a - 3 = 5
add 3 to both sides
a - 3 + 3 = 5 + 3
simplify
a = 8
His sister age is 8 years old now.
</span>Now:
he is 5 years older than his sister: a + 5 = 8 + 5 = 13
<span>
proof:
so 3 years ago,
his sister age: 8 - 3 = 5
Casey age 3 years ago:
13 - 3 = 10 (</span>C<span>asey was twice as old as his sister 3 years ago</span>)
<span>
Answer:
Casey is 13 years old now.
</span>
Answer:
19. 5x²y⁷
20. a³b²c⁷
21. 4a³b⁴
Step-by-step explanation:
hope i helped! good luck in class!!
