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ipn [44]
3 years ago
11

Ava,Carter,Luke and their dad each mow a different section of their yard.Ava mow 1 /12 of the yard, Carter mow 2 /12 of the yard

,and Luke mows 4/12 of the yard.Their dad mows the rest of the yard.How much did his dad now
Mathematics
2 answers:
DanielleElmas [232]3 years ago
7 0
Since Ava mowed 1/12, Carter mowed 2/12, and Luke mowed 4/12 add that together and that equals 7/12. Subtract 7 from 12 and that equals 5. So therefore the dad mowed 5/12.
lubasha [3.4K]3 years ago
4 0
His dad mowed 5/12 of the yard
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Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and zeros 3 − 3i and 2, with 2 a
dolphi86 [110]

Answer:

The required polynomial is P(x)=x^4-10x^3+46x^2-96x+72.

Step-by-step explanation:

If a polynomial has degree n and c_1,c_2,...,c_n are zeroes of the polynomial, then the polynomial is defined as

P(x)=a(x-c_1)(x-c_2)...(x-x_n)

It is given that the polynomial R has degree 4 and zeros 3 − 3i and 2. The multiplicity of zero 2 is 2.

According to complex conjugate theorem, if a+ib is zero of a polynomial, then its conjugate a-ib is also a zero of that polynomial.

Since 3-3i is zero, therefore 3+3i is also a zero.

Total zeroes of the polynomial are 4, i.e., 3-3i, 3_3i, 2,2. Let a=1, So, the required polynomial is

R(x)=(x-3+3i)(x-3-3i)(x-2)(x-2)

R(x)=((x-3)+3i)((x-3)-3i)(x-2)^2

R(x)=(x-3)^2-(3i)^2((x-3)-3i)(x-2)^2     [a^2-b^2=(a-b)(a+b)]

R(x)=(x^2-6x+9-9(i)^2((x-3)-3i)(x-2)^2

R(x)=(x^2-6x+18)(x^2-4x+4)                [i^2=-1]

R(x)=(x^2-6x+18)(x^2-4x+4)

R(x)=x^4-10x^3+46x^2-96x+72

Therefore the required polynomial is P(x)=x^4-10x^3+46x^2-96x+72.

3 0
3 years ago
At the beginning of the week Fayez writes drown the mileage of his limousine - 2529 At the end of the week the mileage is 2834,
Alexandra [31]
2834 - 2529 = 305 miles traveled
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The limo did not use 1 gallon every 20 miles.
The limo used 1 gallon every 18.5 miles
4 0
3 years ago
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