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hichkok12 [17]
3 years ago
14

How to find a cubic function given roots -3 and 2i

Mathematics
1 answer:
Leni [432]3 years ago
6 0
A cubic function has three roots, so in factored form it would look like
f(x) = (  ) (  ) (  )

We know one of the roots is -3, so one of the factors is (x+3)
f(x) = (x+3)(   )(   )

Since the root 2i is given the root -2i also has to exist.
f(x) = (x + 3)(x - 2i)(x + 2i)

If you want to simplify, it becomes
f(x) = (x + 3)(x^2 + 4)
f(x) = x^3 + 3x^2 + 4x + 12
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What is the approximate surface area of the sphere 15yd?
tekilochka [14]
<span>The surface area of a sphere is equal to [4 x Pi x R^2]. In other words, four multiplied by 3.14 multiplied by the radius squared. If the radius of a sphere is 15 yards, the approximate surface area is [4 x 3.14 x (15x15)] = [12.5 x 225] = [2,812 yd^2]. The surface area of a sphere with radius 15 yd is approximately 2,800 yards.</span>
7 0
4 years ago
-2(p - 1) = 15 anserwwwww plssssss
adelina 88 [10]

Answer:

-6.5

Step-by-step explanation:

-2(p - 1) = 15

-2p + 2 = 15

-2p = 13

p = -6.5

6 0
3 years ago
Clem Colfax had $10 to buy groceries. He needed milk costing 70 cents a carton, bread costing 60 cents a loaf, breakfast cereal
zaharov [31]
Cost of milk per carton = $ 70 cents = 70/100 = $0.7
Cost of bread per loaf = $60 cents = 60/100 = $0.6
Cost of cereals per box = $50 cents = 50/100 = $0.5
Cost of meat per pound = $1.50

If x is the number of cartons of milk bought, then
Number of loafs = x/2
Number pf boxes of cereals = x/2 +1
Number of pounds of meat = x/2 +1

Therefore,
0.7*x + 0.6*x/2 + 0.5 (x/2+1) + 1.5 (x/2+1) = 10
0.7x + 0.3x + 0.25x + 0.5 + 0.75x + 1.5 = 10
2x + 2 =10
2x = 8
x = 4

Substituting;
Milk cartons = 4
Number of bread = 4/2 = 2
Boxes of cereals = 2+1 = 3
Pounds of meat = 3
8 0
3 years ago
Given:
pychu [463]
We can use the SSS congruence theorem to prove that the two triangles in the attached figure are congruent. The SSS or side-side-side theorem states that each side in the first triangle must have the same measurement or must be congruent on each of the opposite side of another triangle. In this problem, for the first triangle, we have sides AC, CM, AM while in the second triangle we have sides BC, CM, and BM. By SSS congruent theorem, we have the congruent side as below:
AC = BC
CM = CM
AM = BM 

The answer is SSS theorem.
4 0
3 years ago
Read 2 more answers
HELP I’m being timed!!
lubasha [3.4K]

Answer:

A 1/4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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