Answer:
B
Step-by-step explanation:
Answer:
it is increase
234-24 = 210
210/24=8.75 x 100
875%
Step-by-step explanation:
Answer:
( 2 + √3 ) / 2, ( 2 - √3 ) / 2
Step-by-step explanation:
2x^2 - 2x = 1
2x^2 - 2x - 1 = 0
Here,
a = 2
b = - 2
c = - 1
D = b^2 - 4ac
D = ( - 2 )^2 - 4 ( 2 ) ( - 1 )
= 4 + 8
D = 12
x = - b ± √D / 2a
= - ( - 2 ) ± √12 / 2 ( 2 )
= 4 ± 2√3 / 4
= 2 ( 2 ± √3 ) / 4
= 2 ± √3 / 2
x = ( 2 + √3 ) / 2, ( 2 - √3 ) / 2
We can factor by grouping like so
3v^2 + 16v + 5
3v^2 + 15v + v + 5
3v(v + 5) + 1(v + 5)
(3v+1)(v+5)
---------
Check:
(3v+1)(v+5)
w(v+5) ... let w = 3v+1
vw + 5w
v(w) + 5(w)
v(3v+1) + 5(3v+1) .... plug in w = 3v+1
3v^2+v + 15v + 5
3v^2 + 16v + 5
We get the original expression again, which confirms the answer.
Answer:
(15, 8, 7 )
Step-by-step explanation:
x - y + z = 14 → (1)
y + z = 15 → (2)
z = 7 ← value of z is given
Substitute z = 7 into (2)
y + 7 = 15 ( subtract 7 from both sides )
y = 8
Substitute y = 8, z = 7 into (1)
x - 8 + 7 = 14
x - 1 = 14 ( add 1 to both sides )
x = 15
solution is (15, 8, 7 )
