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Otrada [13]
3 years ago
14

Attempted but just couldnt understand (25Points)​

Mathematics
1 answer:
Rashid [163]3 years ago
5 0

Answer:

a) Function:Yes

b) Domain: -5\:

c) Range:  -5\le y\le 3

Step-by-step explanation:

The given graph passes vertical line test hence it is a function

The given function has x-intercepts at x=-4.5, x=-1,x=3.5

We can therefore write this function in factored form as y=a(2x+9)(x+1)(2x-7)

There is a y-intercept at (0,-2)

-2=a(2*0+9)(0+1)(2*0-7)

-2=-63a

a=\frac{2}{63}

The required function is

y=\frac{2}{63}(2x+9)(x+1)(2x-7)

b) The domain refers to all values of x for which this function is defined.

The domain from the graph is -5\: because there are holes at the end of the graph.

c) The range is the value of y for which x is defined or the graph exists.

From the graph the range is -5\le y\le 3

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Solve the equation. Check for extraneous solutions. <br> 2|7−7x|=2x+4
Vesna [10]

2|7 − 7x| = 2x + 4

|7 - 7x| = x + 2

7 - 7x = x + 2   or   7 - 7x = -(x + 2)

-8x = -5   or   7 - 7x = -x - 2

x = 5/8   or -6x = -9

x = 5/8   or   x = 9/6

x = 5/8   or   x = 3/2

To check for extraneous solutions, we check both solutions in the original equation.

<em>Check solution 5/8:</em>

2|7 - 7x| = 2x + 4

|7 - 7x| = x + 2

|7 - 7 * 5/8| = 5/8 + 2

|56/8 - 35/8| = 5/8 + 16/8

21/8 = 21/8

<u>Solution x = 5/8 works.</u>

<em>Check solution 3/2:</em>

2|7 - 7x| = 2x + 4

|7 - 7x| = x + 2

|7 - 7 * 3/2| = 3/2 + 2

|14/2 - 21/2| = 3/2 + 4/2

|-7/2| = 7/2

7/2 = 7/2

<u>Solution 3/2 also works.</u>

Answer: x = 5/8 or x = 3/2

5 0
2 years ago
The sum of negative 45 times a number<br> and twelve is 117. What is the number?
blagie [28]

Answer:

-2.33

Step-by-step explanation:

Let the number be denoted as "x"

-45x + 12 = 117

-45x = 117-12

-45x = 105

x = 105/-45

x= -2.33

7 0
3 years ago
Help<br><br> 4 X 3/6 = ? X 1/6
dusya [7]

Answer:

1/6

Step-by-step explanation:

8 0
2 years ago
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Hariette would like to review the income and expenses that were actually paid last month so she can determine how much to set as
Brrunno [24]

Answer:

Hybrid basis

Step-by-step explanation:

There are different methods of accounting used by businesses depending on their peculiar needs. Below are the type of accounting methods:

- Cash basis is when revenues and expenses are recognised when cash is recieved or paid out.

-Accrual basis is when revenue and expenses are recognised when they are earned. For example if services are rendered to a client that will pay in a week's time, since service has already been given it is considered that the future payment has been earned.

- Modified basis combines elements of cash and accrual basis. For example considering short term assets like accounts receivable and accounts payable as cash items. Long term assets are recorded on accrual basis.

- Hybrid basis is used when cash and accrual methods are used for various expenses and tax. Mostly it is used for internal accounting purposes.

In this scenario Hariette would like to review the income and expenses that were actually paid last month. This requires a cash basis that shows actual amount recieved and paid last month. Account receivable and payable are not considered.

In setting aside money for tax she will employ accrual basis accounting. It is an expense that is estimated for future use.

So the hybrid basis is the method that will be most suitable.

5 0
3 years ago
the money used in south Africa is is called the rand . the estrange rate 7 rand for $1. Find how many dollars you would receive
Tasya [4]

Answer:

$3

Step-by-step explanation:

21 rand * ($1/7 rand) = $3

4 0
2 years ago
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