Chloe kicks a soccer ball across a field. The height of the ball above the ground is given by the equation

Mathematics

1 answer:

Reika [66]2 years ago

4 0

Answer:

It takes 3.5 seconds for the ball to hit the ground

Step-by-step explanation:

By finding the x intercepts you can determine when the ball hits the ground.

the second x intercept is (3.5,0), which means the ball hits the ground at 3.5 seconds

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Describe the nature of the roots for this equation.<br> 3x^2+x-5= 0

m_a_m_a [10]

Answer:

<h2>This equation has no natural roots.</h2>

Step-by-step explanation:

$3x^2+x-5=0\\\\\text{Use the quadratic formula for}\ ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{For the given equation:}\\\\a=3,\ b=1,\ c=-5\\\\b^2-4ac=1^2-4(3)(-5)=1+60=61\\\\x=\dfrac{-1\pm\sqrt{61}}{(2)(3)}=\dfrac{-1\pm\sqrt{61}}{6}\notin\mathbb{N}$

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vlabodo [156]

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Lena [83]

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2 years ago

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aksik [14]

Answer:

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Step-by-step explanation:

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vichka [17]

So the expression is: $4 a^{2} + 2a + 4 a^{2} - 5$

You can combine like terms, which are terms that contain the same variables raised to the same power. That means you can combine the two $4 a^{2}$ . $4 a^{2} + 4 a^{2} = 8 a^{2}$ The other terms can't be combined.

Your final answer should be $8 a^{2} +2a-5$ .

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