Simplify. 10/-4 - √3

Mathematics

2 answers:

maw [93]2 years ago

7 0

Answer:

-4.23205080...

Step-by-step explanation:

Degger [83]2 years ago

5 0

Answer:

here you go. hope this helps

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What is the sum of the measures of the interior angles of a decagon?

Dafna11 [192]

Answer:

1,440 degrees (10 interior angles of 144 degrees)

Step-by-step explanation:

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3 years ago

A soccer ball is kicked from 3 feet above the ground. the height,h, in feet of the ball after t seconds is given by the function

dexar [7]

Here's our equation.

$h=-16t+64t+3$

We want to find out when it returns to ground level (h = 0)

To find this out, we can plug in 0 and solve for t.

$0 = -16t+64t+3 \\ 16t-64t-3=0 \\ use\ the\ quadratic\ formula\ \frac{-b\±\sqrt{b^2-4ac}}{2a} \\ \frac{-(-64)\±\sqrt{(-64)^2-4(16)(-3)}}{2*16} = \frac{64\±\sqrt{4096+192}}{32}$

$= \frac{64\±\sqrt{4288}}{32} = \frac{64\±8\sqrt{67}}{32} = \frac{8\±\sqrt{67}}{4} = \boxed{\frac{8+\sqrt{67}}{4}\ or\ 2-\frac{\sqrt{67}}{4}}$

So the ball will return to the ground at the positive value of $\boxed{\frac{8+\sqrt{67}}{4}}$ seconds.

What about the vertex? Simple! Since all parabolas are symmetrical, we can just take the average between our two answers from above to find t at the vertex and then plug it in to find h!

$\frac{1}2(\frac{8+\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(2+\frac{\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(4) = 2$

$h=-16t^2+64t+3 \\ h=-16(2)^2+64(2)+3 \\ \boxed{h=67}$

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3 years ago

Which set of data could represent a quadratic function?

Katena32 [7]

Answer:

top right graph

Step-by-step explanation:

because on every side of 0 the values are the same

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2 years ago

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Given that f(x) = x2 + 1 and g(x) = -3, multiply the functions (gºf)(x).