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3 years ago

1.055.

Mathematics

1 answer:

Stella [2.4K]3 years ago

5 0

Given:

The statement is:

{5, 6, 7} = {5, 5, 6, 7, 7}

To find:

Whether the given statement is true or false.

Solution:

Two sets are equal if they have exactly the same elements.

The given set {5, 6, 7} has three elements and the set {5, 5, 6, 7, 7} has five elements but we known that all the elements of a set are distinct. It means, it has no repeated element.

Set {5, 5, 6, 7, 7} has three distinct elements 5, 6, 7. So,

{5, 5, 6, 7, 7} = {5, 6, 7}

Therefore, the given statement is true.

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Sears editing ‘company is a small editorial services company owned and operated by deloris Sears. On January 31, 20Y1 , the end

Valentin [98]

1. Preparation of the adjusting entries for

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a. Dr Insurance expense $1,800

($7,200-$5,400)

Cr Prepaid insurance $1,800

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b. Dr Supplies expense $1,605

($1980 - $375)

Cr Supplies $1,605

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c. Dr Depreciation expense $6,000

Cr Accumulated depreciation-building $6,000

(To record depreciation expense on building)

d. Dr Depreciation expense $3,000

Cr Accumulated depreciation-equipment $3,000

(To record depreciation expense on equipment)

e. Dr Unearned rent $5,400

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Cr Rent revenue $5,400

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f. Dr Salaries and wages expense $2,900

Cr Salaries and wages payable $2,900

(To record salaries and wages expense)

g. Dr Accounts receivable $18,600

Cr Fees earned $18,600

(To record accrued revenue)

2. Preparation of an adjusted trial balance.

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Debit side

Cash $7,500

Account Receiveble $57,000

Prepaid Insurance $5,400

Supplies $375

Land $112,500

Building $150,250

Equipment $135,300

Drawing $15,000

Salaries and wages expense $196,270

Utilities expense $42,375

Advertising expense $22,800

Repair expense $17,250

Depreciation expense-Building $6,000

Depreciation expense-Equipment $3,000

Insurance expense $1,800

Supplies expense $1,605

Miscellaneous expense $6,075

Total Debit side $780,500

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Accumulated Depreciation-Building $93,550

Accumulated Depreciation-Equipment $100,950

Account payable $12,150

Unearned rents $1,350

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Total Credit side $780,500

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4 0

2 years ago

The axis of symmetry for the function f(x) = –2x2 + 4x + 1 is the line x = 1. Where is the vertex of the function located?

egoroff_w [7]

Answer:

(1, 3)

Step-by-step explanation:

You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola. The first few steps are as follows. Set the parabola equal to 0 so you can solve for the vertex. Separate the x terms from the constant by moving the constant to the other side of the equals sign. The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out). Let's start there. The first 2 steps result in this polynomial:

$-2x^2+4x=-1$ . Now we factor out the -2:

$-2(x^2-2x)=-1$ . Now we complete the square. This process is to take half the linear term, square it, and add it to both sides. Our linear term is 2x. Half of 2 is 1, and 1 squared is 1. We add 1 into the set of parenthesis. But we actually added into the parenthesis is +1(-2). The -2 out front is a multiplier and we cannot ignore it. Adding in to both sides looks like this:

$-2(x^2-2x+1)=-1-2$ . Simplifying gives us this:

$-2(x^2-2x+1)=-3$

On the left we have created a perfect square binomial which reflects the h coordinate of the vertex. Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:

$-2(x-1)^2+3=y$

From this form,

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

you can determine the coordinates of the vertex to be (1, 3)

5 0

3 years ago

Read 2 more answers