Answer:
W = -L + V
Step-by-step explanation:
V = L + W
~Subtract L to both sides
V - L = W
Best of Luck!
Answer:
Therefore the required polynomial is
M(x)=0.83(x³+4x²+16x+64)
Step-by-step explanation:
Given that M is a polynomial of degree 3.
So, it has three zeros.
Let the polynomial be
M(x) =a(x-p)(x-q)(x-r)
The two zeros of the polynomial are -4 and 4i.
Since 4i is a complex number. Then the conjugate of 4i is also a zero of the polynomial i.e -4i.
Then,
M(x)= a{x-(-4)}(x-4i){x-(-4i)}
=a(x+4)(x-4i)(x+4i)
=a(x+4){x²-(4i)²} [ applying the formula (a+b)(a-b)=a²-b²]
=a(x+4)(x²-16i²)
=a(x+4)(x²+16) [∵i² = -1]
=a(x³+4x²+16x+64)
Again given that M(0)= 53.12 . Putting x=0 in the polynomial
53.12 =a(0+4.0+16.0+64)

=0.83
Therefore the required polynomial is
M(x)=0.83(x³+4x²+16x+64)
Answer:
hello your question has some missing information attached below is the missing information
answer : 112 black balls
Step-by-step explanation:
Given data:
Each bag contains ; 10 balls
Total number of ball = 100 balls
<u>first: calculate the number of Black balls to be picked from the three bags</u>
From bag 1 = 0.4 * 0.35 * 10 = 1.4 balls
From bag 2 = 0.8 * 0.45 * 10 = 3.6 balls
From bag 3 = 0.3 * 0.2 * 10 = 0.6 ball
Total black balls picked = 5.6
∴ percentage of black balls picked given that each bag contains 10
5.6 / 10 * Total balls available = 56 balls = 56% of 100 balls
Hence If the player plays this game 200 times the number of black balls he will pick = 56% * 200 = 112 balls
The width is 8 cm . Because the rules to calculate the width that have length and area is take area divide the length . So you take 96 cm : 12 cm = 8 cm .
Answer:

Step-by-step explanation:
Given:
Sam takes x minutes yo walk from home to library.
And takes 5 minutes more to walk from the library to school than from home to the library.
Express the total time taken for Sam to walk from home to school via the library in terms of x.
<u>Solution:</u>
Time taken by Sam to walk from home to library = 
Time taken by Sam to walk from library to school = 
Total time taken by Sam to walk from home to school via the library = Time taken to walk from home to library + Time taken to walk from library to school
Total time taken = 
Therefore, the total time taken for Sam to walk from home to school via the library is 