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The constant should be added to form a perfect square trinomial will be 1/4. Then the correct option is D.
<h3>What is a quadratic equation?</h3>It's a polynomial with a value of zero. There exist polynomials of variable power 2, 1, and 0 terms. A quadratic equation is an equation with one statement in which the degree of the parameter is a maximum of 2.
The expression is x² + x.
Then the constant should be added to form a perfect square trinomial.
Then the constant will be
The square of the half of the coefficient of the variable x is to be added to make a perfect square.
Then the constant will be 1/4.
Then the perfect square will be
More about the quadratic equation link is given below.
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Answer: .
Step-by-step explanation: We are given expression .
And expression is converted in
.
Now, we need to transform the expression into a single exponent expression using the properties of exponents.
We know, according to the properties of exponents
Applying same rule in given expression, we get
On simplifying exponents, we would get t in exponent.
= .
Answer:
Option A.
<em>The number of elements in the sample space of this experiment is 84</em>
Step-by-step explanation:
The sample space for an experiment represents the number of possible results that may occur when conducting the experiment.
When throwing a die and observe the number obtained there are 6 possible results
When throwing a coin there are 2 possible results.
When spinning a wheel divided into 7 regions we have 7 possible outcomes.
If we combine these three experiments, then the sample space S is composed of the product of the possible results of each experiment.