2y² + y - 3
(2y+3)(y-1)
2y(y-1) + 3(y-1)
2y² - 2y + 3y - 3
2y² + y - 3
2y + 3 = 0
2y = -3
y = -3/2
y = -1 1/2
y - 1 = 0
y = 1
2y² + y - 3 = 0
2(-3/2)² + (-3/2) - 3 = 0
2(9/4) - 3/2 - 3 = 0
18/4 - 3/2 - 3 = 0
18/4 - (3/2 * 2/2) - 3(4/4) = 0
18/4 - 6/4 - 12/4 = 0
(18 - 6 - 12)/4 = 0
(18 -18)/4 = 0
0/4 = 0
0 = 0
The denominators should have the same number.
Ex.
5 7
— —
Denominator 6 <— Denominator 6 <—
I hope this helped
Answer:
1) 25deg. Angle EGF
2) 25deg. Angle BGC
3) Angle 2 and BGC or Angle 1 and EGF
Answer:
4 years and 24% simple interest
Step-by-step explanation:
if 500 make a 6% simple interest then if it asks to get to 2k then it will be like 5x4=20 so 4 years, and it will make 24% vaule of simple interest
A)
y=2^x
4^x=2^(2x)=y²
solution:
y=2^x hence y²=4^x
chek:
x=5 ⇒ y=2⁵=32
4⁵=1024
y₂=32²=1024
b)
8(4^x)-9(2^x)+1=0
8(2^(2x)-9(2^x)+1=0
2^x=t
8t²-9t+1=0
We solve the quadratic.
t₁=1/8 ⇒2^x=1/8
2^x=1/2³
2^x=2⁻³
x=-3
t₂=1 ⇒ 2^x=1 ⇒x=0
Solutions:
x=-3
x=0