Answer:
Correct answer: V₁ boat = 16 km/h and V₂ current = 4 km/h
Step-by-step explanation:
If we take speed (velocity) of the boat as V₁ and speed of the current V₂
Let us form equations:
Traveling down the current V₁ + V₂ = 60/3 = 20 km/h
Traveling against the current V₁ - V₂ = 60/5 = 12 km/h
V₁ - V₂ = 12
V₁ + V₂ = 20
If we add up the left and right sides of the equations we get:
2 V₁ = 32 => V₁ = 32/2 = 16 km/h
from the second equation we get:
V₂ = 20 - V₁ = 20 - 16 = 4 km/h
V₂ = 4 km/h
God is with you!!!
Answer:
D) 
Step-by-step explanation:
<u>Vertex Form of a Vertical Parabola:</u>

Vertex -> 
Axis of Symmetry -> 
Vertical Scale Factor -> 
- To turn
into vertex form, we need to complete the square on the right side - Therefore, if
, then
completes the square on the right side - This becomes

- This means that our function in vertex form is

Therefore, the vertex of the graph is
.
PART 1:
Jeremy gives the correct answer.
The value of 0.41 [with a bar over the digit 4 and 1] shows that the digit 4 and 1 are reoccurring = 0.414141414141414141....
Jenny's assumption of 41/100 will give a decimal equivalency of 0.41 [without a bar over digit 4 and 1]. This value is not a reoccurring decimal value.
PART 2:
The long division method is shown in the picture below
PART 3:
As mentioned in PART 1, the result of converting 41/100 into a decimal is 0.41 [non-reoccuring decimal] while converting 41/99 into a decimal is 0.41414141... [re-occuring decimal]. The conjecture in PART 1 is correct
1. √48 → √16 * √3 = 4√3
3. √12 → √4 * √3 = 2√3
7. √125 → √25 * √5 = 5√5
8. √20 → √4 * √5 = 2√5
9. √18 → √9 * √2 = 3√2
10. √32 → √16 * √2 = 4√2
11. √50 → √25 * √2 = 5√2
12. √27 → √9 * √3 = 3√3
Answer:
= 11/3
Step-by-step explanation:
1. COMBINE MULTIPLIED TERMS INTO A SINGLE FRACTION
- 7/3 (3x-2)= -21
-7 (3x-2) = -21
-----------------------
3
2. DISTRIBUTE
-7( 3x- 2) ➗ 3 =-21
3. MULTIPLY ALL TERMS BY THE SAME VALUE TO ELIMINATE FRACTION DENOMINATORS
-21x + 14 ➗ 3 = 3 (-21)
4. CANCEL MULTIPLIED TERMS THAT ARE IN THE DENOMINATOR
3 ( -21x + 14) ➗ 3 (-21)
5. MULIPLY THE NUMBERS
-21x + 14 = 3(-21)
6. SUBTRACT 14 FROM BOTH SIDES OF THE EQUATION
-21x + 14 = -63
7. SIMPLIFY
-21x = - 77
8. DIVIDE BOTH SIDES OF THE EQUATION BY THE SAME TERM
-21x/-21 = -77/-21
9. SIMPLIFY
x = 11/3