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1 answer:
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Answer:
Step-by-step explanation:
We don't need choices to find out the correct answer. Solve this problem by completing the square. Begin by setting the quadratic equal to 0 and moving over the constant, like this:
and factor out the -1 in front of the x-squared, since the leading coefficient HAS to be a 1:
Now take half the linear term, square it, and add it to both sides. Our linear term is -2. Half of -2 is -1, and squaring that gives us 1. So we add a 1 into both sides. But that -1 out front there on the left is a multiplier, so what we actually added in was -1(1) which is -1:
On the left side we have a perfect square binomial, which is why we do this, and on the right side we have -2:
and we can move that constant back over and set the quadratic back equal to y:
which gives us a max height of 2.
(If this was modeling parabolic motion, we would know that the time it takes to get to that max height is 1 second. The vertex of this parabola is (1, 2))
To solve such questions we need to know more about expression.
<h2 /><h2>Expression </h2>In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which are dependent on the context.
<h2 /><h2 /><h2>Given to us,</h2>rearranging we get,
we know that,
therefore,
taking and
as common
=
Further simplifying
Learn more about the expression:
Answer:
<h3>By 161700 ways this test batch can be chosen.</h3>Step-by-step explanation:
We are given that total number of bulbs are = 100.
Number of bulbs are tested = 3.
Please note, when order it not important, we apply combination.
Choosing 3 bulbs out of 100 don't need any specific order.
Therefore, applying combination formula for choosing 3 bulbs out of 100 bulbs.
read as r out of n.
Plugging n=100 and r=3 in above formula, we get
Expanding 100! upto 97!, we get
=
Crossing out common 97! from top and bottom, we get
=
Expanding 3!, we get
=
= 100 × 33 × 49
= 161700 ways.
<h3>Therefore, by 161700 ways this test batch can be chosen.</h3>