The second degree polynomial with leading coefficient of -2 and root 4 with multiplicity of 2 is:
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How to write the polynomial?</h3>
A polynomial of degree N, with the N roots {x₁, ..., xₙ} and a leading coefficient a is written as:
Here we know that the degree is 2, the only root is 4 (with a multiplicity of 2, this is equivalent to say that we have two roots at x = 4) and a leading coefficient equal to -2.
Then this polynomial is equal to:
If you want to learn more about polynomials:
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Answer:
amount of water: 7, 14, 21, 28, 35
time : 1,2,3,4,5
Answer:
1 x=-2.5 y = -5.5
2. x=5 y=1
Step-by-step explanation:
1) What is the solution of the given system?
5x-y=-7
3x-y=-2
Multiply the second equation by -1
-1*(3x-y)=-1(-2)
-3x +y = 2
Now add the first equation to the modified second equation
5x-y=-7
-3x +y = 2
------------------
2x = -5
Divide each side by 2
2x/2 = -5/2
x = -2.5
Now we need to find y
-3x+y =2
-3(-2.5) +y =2
7.5 +y =2
Subtract 7.5 from each side
7.5 -7.5 +y =2-7.5
y = -5.5
2) what is the solution of the given system?
5x+7y=32
8x+6y=46
Divide the second equation by 2
8x/2+6y/2=46/2
4x+3y =23
Multiply the first equation by 4
4 (5x+7y)=32*4
20x+28y = 128
Now multiply the modified 2nd equation by -5
-5(4x+3y )=-5(23
)
-20x -15y = -115
Lets add the new equations together to eliminate x
20x+28y = 128
-20x -15y = -115
---------------------
13y = 13
Divide each side by 13
13y/13 =13/13
y=1
Now substitute back in to find x
5x+7y=32
5x +7(1) =32
5x +7 =32
Subtract 7 from each side
5x+7-7 =32-7
5x =25
Divide by 5
5x/5 =25/5
x=5
Answer:
The heaviest baby have to gain to reach a healthy level by 42 ounces.
Step-by-step explanation:
It is said that the 500-gram babies are going to have to make four times their weight [to reach a healthy level].
So, the healthy level of weight is (500 × 4) = 2000 gm i.e. 2 kg.
Now, 1 kg is equivalent to 35.274 ounces.
So, 2 kg will be equivalent to (35.274 × 2) = 70.548 ounces.
So, the heaviest baby with weight 28.6 ounces have to gain weight to reach a healthy level by (70.548 - 28.6) = 41.948 ounces ≈ 42 ounces. (Answer)
