Answer:
x³ - 5x² + 81x - 405 = 0
Step-by-step explanation:
Complex roots occur in conjugate pairs.
Thus given x = - 9i is a root then x = 9i is also a root
The factors are then (x - 5), (x - 9i) and (x + 9i)
The polynomial is the the product of the roots, that is
f(x) = (x - 5)(x - 9i)(x + 9i) ← expand the complex factors
= (x - 5)(x² - 81i²) → note i² = - 1
= (x - 5)(x² + 81) ← distribute
= x³ + 81x - 5x² - 405, thus
x³ - 5x² + 81x - 405 = 0 ← is the polynomial equation
Let represents the total cost. We know for our problem that each yard of satin fabric costs $8.09, so yards will cost . similarly, each yard of cotton fabric costs $3.79, so yards will cost . We can also infer that the total cost, , will be the sum of the yards of satin fabric and the yards of cotton fabric, so:
Now, to determine the amount that Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric, we just need to replace and in our expression:
We can conclude that if Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric, she would spend $70.77
I believe v is your coefficient and the degree is 7
Answer:
<h3>Rules for division with a mixed number and a whole number
</h3>
<h3>The mixed number is converted into an improper fraction and the whole number is written as a fraction with denominator 1.
</h3>
<h3> 2.Division of the fractions is converted into a multiplication operation by multiplying the improper fraction with the reciprocal of the whole number.
</h3>
<h3> 3.The resulting fraction, if required, is written as a mixed number in simplest form.</h3>
<h2>I WILL GIVE YOU EXAMPLES AND LET ME JUST HOPE YOU GET IT ;)</h2><h2 /><h3>Example1: </h3><h3>Divide. Write your answer as a mixed number in simplest form.
</h3><h3>
</h3><h3>213÷7
</h3><h3>Solution
</h3><h3>Step 1:
</h3><h3>
</h3><h3>First, we write the mixed number 213 as an improper fraction
</h3><h3>
</h3><h3>213=(2×3+1)3=73; 7=71
</h3><h3>
</h3><h3>Step 2:
</h3><h3>
</h3><h3>The division is converted into multiplication as follows
</h3><h3>
</h3><h3>213÷7=73÷71=73×17
</h3><h3>Step 3:
</h3><h3>
</h3><h3>Multiplying numerators and denominators
</h3><h3>
</h3><h3>73×17=(7×1)(3×7)=721
</h3><h3>Step 4:
</h3><h3>
</h3><h3>721 can be simplified and written as follows
</h3><h3>
</h3><h3>721=13
</h3><h3>Step 5:
</h3><h3>
</h3><h3>So, 213÷7=13</h3><h3 /><h3>example2: </h3><h3 /><h3>Divide. Write your answer as a mixed number in simplest form.
</h3><h3>
</h3><h3>5÷134
</h3><h3>Solution
</h3><h3>Step 1:
</h3><h3>
</h3><h3>First, we write the mixed number 134 as an improper fraction
</h3><h3>
</h3><h3>134=(1×4+3)4=74; 5=51
</h3><h3>
</h3><h3>Step 2:
</h3><h3>
</h3><h3>5÷134=51÷74=51×47
</h3><h3>Step 3:
</h3><h3>
</h3><h3>Multiplying numerators and denominators
</h3><h3>
</h3><h3>51×47=(5×4)(1×7)=207
</h3><h3>Step 4:
</h3><h3>
</h3><h3>207 can be written as a mixed number as follows
</h3><h3>
</h3><h3>207=267
</h3><h3>Step 5:
</h3><h3>
</h3><h3>So, 5÷134=267</h3><h3 /><h3>OK HOPE THIS HELPS YOU :')</h3><h3 /><h3>PLEASE MARK ME BRILLIANT :3 </h3><h3>THANK YOU -</h3>
