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Westkost [7]
3 years ago
5

I’m 12 slices of watermelon you can find 144 watermelon seeds. At this rate, how many watermelon seeds would you find in 4 slice

s of watermelon?
Mathematics
2 answers:
VladimirAG [237]3 years ago
5 0

Answer: 48 seeds are in 4 slices of watermelon

Step-by-step explanation:

1) 12 divided by 144 equals 12 therefore in 1 slice of watermelon there are 12 seeds

2) 4 multiplied by 12 equals 48 therefore there are 48 seeds in 4 slices of watermelon

jarptica [38.1K]3 years ago
3 0
12 divided by 4 is 3
144 divided by 3 is 48

So your answer is 48 seeds per 4 slices
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Matt bought some boards to build a wooden deck. Some of the boards were 4 ft long and some of the boards were 5 ft long. He boug
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8 boards.

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professor190 [17]

Answer:

P(x)=x^5+11x^3+28x

Step-by-step explanation:

<u>Roots of a polynomial</u>

If we know the roots of a polynomial, say x1,x2,x3,...,xn, we can construct the polynomial using the formula

P(x)=a(x-x_1)(x-x_2)(x-x_3)...(x-x_n)

Where a is an arbitrary constant.

We know three of the roots of the degree-5 polynomial are:

x_1=0;\ x_2=\sqrt{7}\boldsymbol{i}:\ x_3=-2\boldsymbol{i}

We can complete the two remaining roots by knowing the complex roots in a polynomial with real coefficients, always come paired with their conjugates. This means that the fourth and fifth roots are:

x_4=-\sqrt{7}\boldsymbol{i}:\ x_3=+2\boldsymbol{i}

Let's build up the polynomial, assuming a=1:

P(x)=(x-0)(x-\sqrt{7}\boldsymbol{i})(x+\sqrt{7}\boldsymbol{i})(x-2\boldsymbol{i})(x+2\boldsymbol{i})

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(a+b\boldsymbol{i})\cdot (a-b\boldsymbol{i})=a^2+b^2

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Operating the last two factors:

P(x)=(x)(x^4+11x^2+28)

Operating, we have the required polynomial:

\boxed{P(x)=x^5+11x^3+28x}

7 0
3 years ago
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