The radius of star A is 6.9203x10^5 km, which is 108.7 times the rafius of star B. what is the radius of the star B?
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The total amount paid for vase is $ 41
<em><u>Solution:</u></em>
Given that
Cost of vase = $ 34.99
Shipping charge = 3 dollars
Sales tax = 8.25 % was paid on the subtotal which included the shipping charge
To find: total amount paid for vase
total amount paid for vase = Cost of vase + Shipping charge + sales tax
Let us first find the sales tax
Given that 8.25 % was paid on the subtotal which included the shipping charge
Subtotal = 34.99 + 3 = 37.99
So 8.25 % of 37.99 was paid as sales tax
Therefore sales tax amount paid = $ 3.1341
total amount paid for vase = Cost of vase + Shipping charge + sales tax
total amount paid for vase = 34.99 + 3 + 3.1341 = 41.1241 ≈ 41
Therefore total amount paid for vase is $ 41
There is a multiple zero at 0 (which means that it touches there), and there are single zeros at -2 and 2 (which means that they cross). There is also 2 imaginary zeros at i and -i.
You can find this by factoring. Start by pulling out the greatest common factor, which in this case is -x^2.
-x^6 + 3x^4 + 4x^2
-x^2(x^4 - 3x^2 - 4)
Now we can factor the inside of the parenthesis. You do this by finding factors of the last number that add up to the middle number.
-x^2(x^4 - 3x^2 - 4)
-x^2(x^2 - 4)(x^2 + 1)
Now we can use the factors of two perfect squares rule to factor the middle parenthesis.
-x^2(x^2 - 4)(x^2 + 1)
-x^2(x - 2)(x + 2)(x^2 + 1)
We would also want to split the term in the front.
-x^2(x - 2)(x + 2)(x^2 + 1)
(x)(-x)(x - 2)(x + 2)(x^2 + 1)
Now we would set each portion equal to 0 and solve.
First root
x = 0 ---> no work needed
Second root
-x = 0 ---> divide by -1
x = 0
Third root
x - 2 = 0
x = 2
Forth root
x + 2 = 0
x = -2
Fifth and Sixth roots
x^2 + 1 = 0
x^2 = -1
x = +/-
x = +/- i