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idontknow113
17.07.2020 •
Mathematics
Help me round to the nearest tenth 5x^2-27=6x
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Ответ:
-1.8,3
Step-by-step explanation:
This type of problem often results in two answers for X, and to get it, I often like to rearrange the formula to look like this: 5x^2-6x-27. There are various ways to answer this question, but since this is a quadratic equation, I commend using the quadratic formula! It may look scary, but it is actually really simple. I will attach a picture of this formula for reference when you need it.
looking at our modified formula, a= 5, b=-6, and c= -27. With these values in mind, you can go ahead and plug them in the formula. So it will look like (6±√(-6)²-4(5)(-27) )÷2(5).
Let’s break this down a bit, what this formula is saying is that you’ll have 2 operations to do now, the first one will look like this:
the second operation will be exactly the same, but instead of adding 6 to the square root of 576 (pssst, it is 24 btw), you will be subtracting. This second operation once done will result in -1.8, which is rounded to the nearest tenth!
Ответ:
t > 8
Step-by-step explanation:
Given that :
Initial volume = 16 litres
Addition rate = 4 litres per minute
Target volume > 48 litres
Let number of minute for which water is added to achieve these = t
Mathematically,
Initial volume + (addition rate * t) > target volume
16 + 4t > 48
Collect like terms
4t > 48 - 16
4t > 32
Divide both sides by 4
4t/4 > 32/4
t > 8
Laura will need add water at 4 Litre per minute rate for more than 8 minutes