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nordsb [41]
4 years ago
12

Find the domain and range of fx) = -√5-x-3

Mathematics
1 answer:
umka2103 [35]4 years ago
5 0

Answer:Domain = R - {3}

R = set of real numbers

Step-by-step explanation:

Domain cant be that number which when put into function gives undefined value. :. in 5/(x-3) , x-3 != 0.

:. we can put any real number in the function to get a value but not 3.HOPES THIS HELP IF YOU HAVE ANY MORE QUESTION JUST COMMENT.

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I can’t figure out how to use the zeros in the polynomial. Please explain
Temka [501]

Answer:

a) P (x) = (x + 3) (x-1) (x-4)

b) P (x) = (2x + 5) (5x - 4) (x-6)

c) P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2

Step-by-step explanation:

<u>For the question a *</u> you need to find a polynomial of degree 3 with zeros in -3, 1 and 4.

This means that the polynomial P(x) must be zero when x = -3, x = 1 and x = 4.

Then write the polynomial in factored form.

P (x) = (x + 3) (x-1) (x-4)

Note that this polynomial has degree 3 and is zero at x = -3, x = 1 and x = 4.

<u>For question b, do the same procedure</u>.

Degree: 3

Zeros: -5/2, 4/5, 6.

The factors are

x = -\frac{5}{2}\\\\x +\frac{5}{2} = 0\\\\(2x +5) = 0

---------------------------------------

x =\frac{4}{5}\\\\x-\frac{4}{5} = 0\\\\(5x-4) = 0

--------------------------------------

x = 6\\\\(x-6) = 0

--------------------------------------

P (x) = (2x + 5) (5x - 4) (x-6)

<u>Finally for the question c we have</u>

Degree: 5

Zeros: -3, 1, 4, -1

Multiplicity 2 in -1

x = -3\\\\(x-3) = 0

--------------------------------------

x = 1\\\\(x-1) = 0

--------------------------------------

x = 4\\\\(x-4) = 0

----------------------------------------

x = -1\\\\(x + 1) = 0

-----------------------------------------

P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2

8 0
3 years ago
Evaluate a^7 - 4b for a =3 and b= -1
Papessa [141]

Answer:

2187+4

= 2191

Step-by-step explanation:

plz brainliest :)

3 0
3 years ago
Read 2 more answers
G(x) equals what? PLEASE HELP ME!!!
Nonamiya [84]
G(x) is an absolute value function. The standard form for an absolute value function is f(x) = |x|.

The slope of this is equal to -6/-4 or 3/2.

It is flipped over the x-axis, so it will have a negative value out front.

g(x) = -3/2|x| is the equation for this graph.
8 0
3 years ago
Read 2 more answers
There are 16 kilometers in 10 miles, about how many kilometers are in five miles?
Pavlova-9 [17]
I believe it would be 8 km in five miles. I hope this helped ^^
7 0
4 years ago
A sum of money is divided amongst Farah, Shaiyara and Zahin in the ratio 10: 7: 5. If
r-ruslan [8.4K]

Answers:

  • Total amount of money =  220 dollars
  • Amount Farah gets = 100 dollars

==========================================================

Explanation:

  • F = amount Farah gets
  • S = amount Shaiyara gets
  • Z = amount Zahin gets

The money is divided in the ratio 10:7:5

This means that

  • F = 10x
  • S = 7x
  • Z = 5x

for some positive real number x.

Since Shaiyara gets $20 more than Zahin, we can say,

S = Z+20

Let's plug in S = 7x and Z = 5x and solve for x

S = Z+20

7x = 5x+20

7x-5x = 20

2x = 20

x = 20/2

x = 10

Therefore,

  • F = 10x = 10*10 = 100
  • S = 7x = 7*10 = 70
  • Z = 5x = 5*10 = 50

The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.

The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.

6 0
3 years ago
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