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Rudiy27
3 years ago
5

Determine whether the relation represents a function. State the domain and range of the relation.

Mathematics
1 answer:
zaharov [31]3 years ago
5 0

Answer:

  • It is a function
  • Domain: {-4, -2, 1, 5}
  • Range: {-9, -7, -4, 5}

Step-by-step explanation:

A function is defined so that for each input (known as the domain), there is no more than one output (known as the range).

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Compute the total and annual returns on the following investment. Twenty years after purchasing shares in a mutual fund for ​$63
lesya [120]

Answer:

  • 76.2% total return
  • 2.87% annual return

Step-by-step explanation:

The total return is the rate of increase over the whole period:

  % change = (11100/6300 -1) × 100% = 76.2%

The annual return is the rate of return that gives this growth over 20 years:

  (1 +r)^20 = 1 +76.2%

  r = 1.762^(1/20) -1 ≈ 2.87%

The total return is about 76.2%; the annual return is about 2.87%.

7 0
3 years ago
Katie bought 4 sweaters that each cost the same amount and 1 skirt that cost $20. The items she bought cost a total of $160 befo
marissa [1.9K]
Each sweater is $35
B/c in total it was $160
And we know that the skirt is $20
So we do 160-20 which is equal to 140
There are 4 sweaters so 140 divided by 4 which is


$35. !!!! Yayayayay
8 0
3 years ago
What is the word phrase for 2x + 6
scoray [572]
X multiplied by two plus six

6 0
3 years ago
Select the correct answer from each drop-down menu. The graphs below show the number of faulty products, y, produced by a compan
BARSIC [14]

Answer:

whats the answers available?

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the axis of symmetry for the graph of y – 4x = 7 – x2
eimsori [14]

we know that

The equation in vertex form of a vertical parabola is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

and the axis of symmetry is equal to the x-coordinate of the vertex

so

x=h -----> equation of the axis of symmetry

In this problem we have

y-4x=7-x^{2}

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

y-7=-x^{2}+4x

y-7=-(x^{2}-4x)

Complete the square. Remember to balance the equation by adding the same constants to each side

y-7-4=-(x^{2}-4x+4)

y-11=-(x^{2}-4x+4)

Rewrite as perfect squares

y-11=-(x-2)^{2}  

y=-(x-2)^{2}+11  

the vertex is the point (2,11)

therefore

<u>the answer is</u>

The axis of symmetry is

x=2

see the attached figure to better understand the problem

5 0
4 years ago
Read 2 more answers
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