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3 years ago

Amery drives 50 miles in one hour. How many miles does he drive in 2.25 hours?

1 answer:

5 0

So if he drives 50 miles in 1 hour, then he must drive 100 miles in 2 hours. 0.25 is another way of writing 1/4, and to find 1/4 you divide by 4, so 50 ÷ 4 = 12.5 miles. Then you can add this to 100 and get your answer as 112.5 miles.
If you have a calculator, or if you're allowed a calculator, then a simpler way is to just do 2.25 × 50 = 112.5
Hope this helps!

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What are the zeros of the quadratic function f(x) = 6x ^ 2 - 24x + 1 ?

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Answer:

x = $\frac{12+\sqrt{138} }{6}$ and x = $\frac{12-\sqrt{138} }{6}$

Step-by-step explanation:

Let's use the quadratic formula, which states that for a quadratic of the form ax² + bc + c, the zeroes are: $x=\frac{-b+\sqrt{b^2-4ac} }{2a}$ or $x=\frac{-b-\sqrt{b^2-4ac} }{2a}$ .

Here, a = 6, b = -24, and c = 1. Plug these in:

$x=\frac{-b+\sqrt{b^2-4ac} }{2a}$

$x=\frac{-(-24)+\sqrt{(-24)^2-4*6*1} }{2*6}=\frac{24+\sqrt{552} }{12}=\frac{24+2\sqrt{138} }{12} =\frac{12+\sqrt{138} }{6}$

AND

$x=\frac{-b-\sqrt{b^2-4ac} }{2a}$

$x=\frac{-(-24)-\sqrt{(-24)^2-4*6*1} }{2*6}=\frac{24-\sqrt{552} }{12}=\frac{24-2\sqrt{138} }{12} =\frac{12-\sqrt{138} }{6}$

Thus, the zeroes are: x = $\frac{12+\sqrt{138} }{6}$ and x = $\frac{12-\sqrt{138} }{6}$ .

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