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jekas [21]
3 years ago
15

Using the given zero, find all other zeros of f(x).

Mathematics
2 answers:
JulsSmile [24]3 years ago
8 0

Answer:

<h2>c) 2i, 6, -6</h2>

Step-by-step explanation:

The given function is

f(x)=x^{4}-32x^{2} -144

The given zero to this function is

x=-2i

Remember that a function has so many roots as its grade dictates. So, in this case, the function grade is four, which means it has four solutions.

Now, the given function is an imaginary number, which happens in pairs, that means the second root must be x=2i, because a function can have complex roots as pairs, 2, 4, 6,... many solutions.

The other two solutions are 6 and -6, because if we replace them into the function, it will give zero.

f(6)=6^{4}-32(6)^{2} -144=0\\f(-6)=(-6)^{4}-32(-6)^{2} -144=0

Therefore, the other three solutions missing are: c) 2, 6, -6.

(The image attached shows the real solutions).

masya89 [10]3 years ago
7 0
<span>Using the given zero, find all other zeros of f(x). -2i is a zero of f(x) = x4 - 32x2 - 144 
</span>
Answer: C; 2i,6,-6
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Pls dont guess on it
yuradex [85]

Answer:

2(8a + 8)

Step-by-step explanation:

The easiest way to do this is to substitute <em>a</em> for a number. For example, let's just make things easy and make <em>a </em> = 1.

So, if a = 1, the expression 16a + 8 would be 16(1) + 8 = 24.

Let's find all the expressions that would also equal 24 if <em>a = </em>24.

Plug in 1 for <em>a</em> in each of the equations. You will find that 2(8a + 8) will not equal 24 if <em>a </em>equals 1.

2(8a + 8)

2(8(1) + 8

2(8 + 8)

2(16)

32

4 0
2 years ago
Emily has 300 books. if frank were to double the number of books that he now owns, he would still have fewer than Emily has
Alex_Xolod [135]
This statement is false. 
If he were to double the amount that Emily has to get franks, franks would have more. 
Look :)
Emily's = 300
Frank's = 300 x 2 = 600

now...
Emily's = 300
Frank's = 600

So frank has more! NOT fewer. 

8 0
3 years ago
Read 2 more answers
5 Miles 17 Deer 5 Mlies Predict the number of deer in a 25 square mile section of the mountains based on the sampling from the f
grigory [225]

Answer:

Step-by-step explanation:

Its 27

7 0
2 years ago
Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 at
Amiraneli [1.4K]

Answer:

The cubic function is f(x) = (27/32)·x  - 3/32·x³ - -9/32·x² - 9/32

Step-by-step explanation:

The given function is f(x) = a·x³ + b·x² + c·x + d

By differentiation, we have;

3·a·x² + 2·b·x + c = 0

3·a·(-3)² + 2·b·(-3) + c = 0

3·a·9 - 6·b + c = 0

27·a - 6·b + c = 0

3·a·(1)² + 2·b·(1) + c = 0

3·a + 2·b + c = 0

a·(-3)³ + b·(-3)² + c·(-3) + d = -3

-27·a + 9·b - 3·c + d = -3...(1)

a + b + c + d = 0...(2)

Subtracting equation (1) from equation (2) gives;

28·a - 8·b + 4·c = 3

Therefore, we have;

27·a - 6·b + c = 0

3·a + 2·b + c = 0

28·a - 8·b + 4·c = 0

Solving the system of equations using an Wolfram Alpha gives;

a = -3/32, b = -9/32, c = 27/32 from which we have;

a + b + c + d = 0 3 × (-3/32) + 2 × (-9/32) + (27/32) + d = 0

d = 0 - (0 3 × (-3/32) + 2 × (-9/32) + (27/32)) = -9/32

The cubic function is therefore f(x) = (-3/32)·x³ + (-9/32)·x² + (27/32)·x + (-9/32).

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3 years ago
How to solve [3(4.12) - 2(3.4)]+9
pshichka [43]
1.61 is the correct answer
3 0
3 years ago
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