k = 13 is the value of k in quartic equation.
What does the term "quartic equation" mean?
An equation of the fourth degree, often known as a quartic equation, is one that reduces a quartic polynomial to zero. in which a 0. A quartic function's derivative is a cubic function.
Let α = 7x
β = 6x
α + β = 7x + 6x = k/3 ............1
13x = k/3
αβ = 7x × 6x = 14/3
42x² = 14/3
x² = 14/3 × 42
x² = 1/9
x = 1/3
now putting value of x in 1
7/3 + 6/3 = k/3
1/3( 7 + 6 )= k/3
k = 13
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Answer: the total price change in stock is fall of 3.2 points or -3.2 points.
Step-by-step explanation:
In integers , we use positive integers to show rise in amount whereas we use negative integers to show fall .
Given: A stock price rose 2.2 points in Week 1.
i.e. +2.2 points rise.
The stock price fell 5.4 points in Week 2.
i.e. fall of -5.4. (Much greater, than it rose)
The equation to represent the total price change in stock would be
Total price change = price rose in Week 1 + price fell in Week 2.
= [+2.2 + (-5.4)] points
= 2.2 - 5.4 points [ (+)(-) = (-)]
= -3.2 points
Hence, the total price change in stock is fall of 3.2 points.
The required solution is ∠RQT = 202° and ∠QTS = 51°
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<h3>What is a cyclic quadrilateral?</h3>
A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also called as inscribed quadrilateral.
Its main property is that the sum of opposite angles of inscribed quadrilateral is always 180 degrees.
Now, the given circle has a cyclic quadrilateral QRST in which it is given that ∠RQT = 202° and ∠QRS = 129°
Since,sum of the opposite angles of a cyclic quadrilateral = 180°
⇒∠QTS + ∠QRS = 180°
⇒ ∠QTS + ∠129° = 180°
⇒ ∠QTS = 180° - ∠129°
⇒ ∠QTS = 51°
Hence,the requires angles are ∠RQT = 202° and ∠QTS = 51°.
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2x+7=3x+3 is a linear equation with on solution
Masse of 1 proton: = 2.34 x 10⁻¹⁴
masse of 1000 protons = 2.34 x 10⁻¹⁴ x 1000 or 2.34 x 10 ⁻¹⁴ x 10³ =2.34 x 10⁻¹¹
