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TiliK225 [7]
3 years ago
11

f(x)=x2+5x-4 has a domain D={-4,-2,0,3,5} find the range (f(x)) value for each x value in the domain

Mathematics
1 answer:
True [87]3 years ago
5 0

Answer:

The range here is the set {8, -10, -4, 20, 32}.

Step-by-step explanation:

Please use " ^ " to denote exponentiation.  Thanks.   f(x)=x^2 + 5x - 4

f(-4)=(-4)^2 + 5(-4) - 4  =  8

f(-2)=(-2)^2 + 5(-1) - 4   = -10

f(0)=0^2 + 5(0) - 4 = -4

f(3) =3^2 + 5(3) - 4      =   20

f(4)=4^2 + 5(4) - 4       = 32

In this problem we have to calculate the actual function values for the given domain (input values).  The range here is the set {8, -10, -4, 20, 32}.

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Answer:

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Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Finding the Median from a Dot Plot
MAXImum [283]

Answer:

median rainfall for highland storms = 18mm

median rainfall  for lowland storms = 18mm

or

median rainfall  for lowland storms = 17mm if the list of numbers is

2  4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

Step-by-step explanation:

The median is the middle number of a sequence of ordered numbers.

The formula for the median is:

median = (n + 1 )/ 2

where n = total number of values

Note: the number that you find with this formula is the position. SO you have to go to the sequence of numbers and find the number that lies in that position.

Highland storms:

4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

The numbers are already in ascending order so we can proceed.

n = 15

∴ median = (15+1)/2

                = 16/2

                = 8

The median is the umber in the 8th position

so, the median rainfall for highland storms is 18mm

Lowland storms:

4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

The numbers are already in ascending order so we can proceed.

n = 15

∴ median = (15+1)/2

                = 16/2

                = 8

The median is the number in the 8th position.

∴  median rainfall for lowland storms is = 18mm

<u>Unclear: if this is the list of numbers: </u>

2  4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

then the median would be:

n = 16

median = (16+1)/2  

             = 17/2

             = 8.5

This means the median lies between the numbers in the 8th and 9th position.

∴ The median is =  (16 + 18)/2

                           = 34/2

                           = 17

5 0
2 years ago
Read 2 more answers
(a) The diagram below, not drawn to scale, shows a circle, centre 0. EH and EF are tangents to the circle. FOG and JOH are strai
posledela

Answer:

it is 6574 for the math problem

6 0
2 years ago
Using the quadratic formula, what is the value of x for x^2-4+5=0​
PSYCHO15rus [73]

value of x is: x= i and x= -i

Step-by-step explanation:

We need to find the value of x from x^2-4+5=0​ using quadratic formula.

The term is: x^2+1=0​

The quadratic formula is:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\

Where a = 1, b=0,c=1

Putting values:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{0\pm\sqrt{(0)^2-4(1)(1)}}{2(1)}\\x=\frac{\pm\sqrt{-4}}{2}\\x=\frac{\pm2i}{2}\\x=\pm i

So, value of x is: x= i and x= -i

Keywords: Quadratic formula

Learn more about quadratic formula at:

  • brainly.com/question/7361044
  • brainly.com/question/10666510
  • brainly.com/question/1332667

#learnwithBrainly

4 0
3 years ago
Solve for z, and give your answer in the form a + bi
zzz [600]
The answer is z = 3 + i

z = a + bi
conj(z) = a - bi

conj(7 + 3i) = 7 - 3i

<span>(conj)z + 2z = 2 + 4i + conj(7 + 3i)
</span>a - bi + 2(a + bi) =<span> 2 + 4i + 7 - 3i
</span>a - bi + 2a + 2bi =<span> 2 + 4i + 7 - 3i
</span>3a + bi = 9 + i

From here:
3a = 9        and      bi = i
a = 9/3                   b = i/i
a = 3                       b = 1

z = a + bi
z = 3 + 1 * i
z = 3 + i
5 0
2 years ago
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