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allochka39001 [22]
3 years ago
8

PLSSS HELPPPP!!! Find all real zeros and complexof each equation f(x)=(x^2+4)(x^2-9)

Mathematics
1 answer:
Mila [183]3 years ago
4 0

Answer:

x = ± 3, x = ± 2i

Step-by-step explanation:

Given

f(x) = (x² + 4)(x² - 9)

To find the zeros let f(x) = 0, that is

(x² + 4)(x² - 9) = 0

Equate each factor to zero and solve for x

x² - 9 = 0 ( add 9 to both sides )

x² = 9 ( take the square root of both sides )

x = ± \sqrt{9} = ± 3

x² + 4 = 0 ( subtract 4 from both sides )

x² = - 4 ( take the square root of both sides )

x = ± \sqrt{-4} = ± \sqrt{4(-1)} = ± \sqrt{4} ×\sqrt{-1} = ± 2i

Thus zeros are

x = - 3, x = 3 ← real

x = - 2i, x = 2i ← complex

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Please help me! (this is from khan academy 6th grade math!)
Svetach [21]

Answer:

1st → 1st

2nd → 3rd

3rd → 2nd

Step-by-step explanation:

just divide the first set of student wishes to the second set of students in the same question. the 1st for example

x-ray to all students is 6/ 36= 1/6 = 1:6

for all students, you add all the students in the table

8 0
2 years ago
Tyler says he invented a number puzzle. He asks clare to pick a number, and asks her to do the following:
zimovet [89]
Set up an equation to see how this makes sense.
Let X be your original number.

So...
2(3x-7)-22/6=-3
6x-14-22/6=-3
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8 0
3 years ago
Read 2 more answers
1. Create a symbolic form for each of the functions described below.
agasfer [191]

Answer:

  a) f(x) = -5/2x +50

  b) f(x) = 50·0.90^x

  c) f(x) = 8/3x -30

  d) f(x) = 10·1.15^x

Step-by-step explanation:

Apparently, you're studying linear and exponential functions. The general form of a linear function in "slope-intercept" form is ...

  f(x) = mx + b

where m is the slope (rate of change of output with respect to input), and b is the "output-intercept", the function value for an input of zero.

__

The general form of an exponential function is ...

  f(x) = a·(1 +r)^x

where "a" is the "output-intercept", the function value for an input of zero, and r is the fractional change for a unit change in input, x. Here, you're given r as a percentage. It will be positive when output increases with input, and it will be negative when output decreases with input.

__

Using the above function prototypes in the given scenarios, we have ...

a. A linear function with b=50, m=-10/4 = -5/2, so the function is ...

  f(x) = -5/2x +50

__

b. An exponential function with a=50, r=-0.10, so the function is ...

  f(x) = 50·(1 -0.10)^x

  f(x) = 50·0.90^x

__

c. A linear function with b=-30 and m = 16/6 = 8/3, so the function is ...

  f(x) = 8/3x -30

__

d. An exponential function with a=10 and r=+0.15, so the function is ...

  f(x) = 10·1.15^x

_____

<em>Comment on functions with percentage change</em>

You need to be a little bit careful with percentage change in a function. There are some scenarios where the rate of change in a linear function is described using percentages. For example, one might say that a car depreciates linearly, and has lost 40% of its value in the first 3 years. Then the rate of change is <em>-13.33% of its original value</em> each year.

Percentages are always in relation to some base value. If that base value is changing with each percentage change, the function is exponential. If that base value remains constant, then the function is linear.

4 0
3 years ago
Consider the sequence -1,3,-9,27,-81
defon

Answer:

I don't know the answer but have a amazing day!<3

Step-by-step explanation:

Be happy.

4 0
2 years ago
PLEASE HELP I don't get how to do this
Leviafan [203]
I think the equation would be 17v+12-2v=t
I’m sorry if that’s wrong but I don’t think it is. Hope this helped!
5 0
3 years ago
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