Solution:
Given equation is 
.
To solve the equation by step by step.
Step 1: Given
Step 2: Combine like terms together.
Plus symbol changed to minus when the term goes from right to left (or) left to right of the equal sign.
Step 3: Subtract the fractions in the left side.
⇒ 
Step 4: Divide both side of the equation by 3, we get
Hence, the answer is 
.
Answer:
C
Step-by-step explanation:
The T shape is composed of 2 rectangles.
Area of top rectangle = 20 × 4 = 80 cm²
Area of upright triangle = 16 × 6 = 96 cm²
Total area = 80 + 96 = 176 cm² → C
7 1/8 = 57/8
57 divide by 6= 9.5
So you would have 9 1/2
Answer:
2/3 =x
Step-by-step explanation:
f(x) = 3x - 2
Let f(x) =0
0 = 3x-2
Add 2 to each side
2 = 3x-2+2
2 =3x
Divide by 3
2/3 =3x/3
2/3 =x
Answer:
D. Since y₁ is not a constant multiple of y₂ on (0,1), the functions are linearly independent on (0,1).
Step-by-step explanation:
y₁=2Cos²t-1
y₂=6Cos2t
We want to determine if y₁ and y₂ are linearly independent in the interval (0,1).
To do this, we show that there does not exist any c₁ and c₂ in (0,1) that makes the expression:
f(t)=c₁(2Cos²t-1)+c₂6Cos2t=0.
If c₁ and c₂=0
f(t)=0
Let c₁=1 and c₂=-⅓
f(t)=c₁(2Cos²t-1)+c₂6Cos2t
=2Cos²t-1-⅓*6(cos²t-sin²t)
=2Cos²t-1-2cos²t+2sin²t
=2sin²t-1
Since f(t)≠0, y₁ is not a constant multiple of y₂ and the functions are linearly independent on (0,1).
