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8_murik_8 [283]
4 years ago
6

If the ratio of red flowers to yellow flowers in the local park is 9:5 and there are approximately 1,000 red or yellow flowers c

urrently blooming in the park, about how many of them are yellow? You may need to round to the nearest whole number.
Mathematics
1 answer:
Svetllana [295]4 years ago
3 0

Answer:

There are about 357 yellow flowers in the park

Step-by-step explanation:

Let

x -----> number of red flowers

y ----> number of yellow flowers

we know that

\frac{x}{y}=\frac{9}{5}

x=\frac{9}{5}y -----> equation A

x+y=1,000 -----> equation B

substitute equation A in equation B and solve for y

\frac{9}{5}y+y=1,000

\frac{14}{5}y=1,000

y=1,000(5)/14\\y=357

therefore

There are about 357 yellow flowers in the park

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Find all the zeros of 2x4+x3-14x2-19x-6 two of its zeros are -2 and -1
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Answer:

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Step-by-step explanation:

Consider polynomial 2x^4+x^3-14x^2-19x-6.

If x=-2 is its zero, then you can divide the polynomial 2x^4+x^3-14x^2-19x-6 by x+2 and get

2x^4+x^3-14x^2-19x-6=(x+2)(2x^3-3x^2-8x-3).

If x=-1, then the polynomial 2x^4+x^3-14x^2-19x-6 can be rewritten as

2x^4+x^3-14x^2-19x-6=(x+2)(x+1)(2x^2-5x-3).

The quadratic polynomial has roots

x_{1,2}=\dfrac{-(-5)\pm\sqrt{(-5)^2-4\cdot2\cdot(-3)}}{2\cdot 2}=\dfrac{5\pm \sqrt{25+24}}{4}=\dfrac{5\pm \sqrt{49}}{4}=3,-\dfrac{1}{2}.

Then the polynomial 2x^4+x^3-14x^2-19x-6 has zeros -2,\ -1,\ -\dfrac{1}{2},\ 3.



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