Which statement justifies that 3x^2 − x − 5 multiplied by 2x^2 − x − 3 obeys the closure property of multiplication?The result 6x^4 + x^2 + 15 has a degree of 4.
The result 6x^4 + x^2 + 15 is a trinomial.
The result 6x^4 − 5x^3 − 18x^2 + 8x + 15 is a polynomial.
The result 6x^4 − 5x^3 − 18x ^2 + 8x + 15 has a degree of 4.

Answers

Answer 1
Answer: (3x² - x - 5)(2x² - x - 3)

3x²(2x² - x - 3) -x(2x² - x - 3) - 5(2x² - x - 3)

6x⁴ - 3x³ - 9x² - 2x³ + x² + 3x - 10x² + 5x + 15
6x⁴ - 3x³ - 2x³ - 9x² + x² - 10x² + 3x + 5x + 15
6x⁴ - 5x³ - 18x² + 8x + 15

The result 6x^4 − 5x^3 − 18x^2 + 8x + 15 is a polynomial.

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Sketch the rectangles and your tiling. Write the Dimensions and the units you counted in the blanks. Then, use multiplication to confirm the area. Show your work.

Answers

Answer:

The area of the rectangle is 12units^(2)

Step-by-step explanation:

The sketch is in the attachement.

long: 4-units

wide: 3-units

The rectangle has 4 units long and 3 units wide

area of rectangle is the product of long and wide side.

Area=l*w\nArea=4units*3units\nArea=12units^(2)

Answer:

Step-by-step explanation:

Below are the dimensions of the rectangle and the crossed portions are unwanted regions.

A.

Rectangle A:

Length, l = 3 units

Width, b = 2 units

Area of a rectangle = length × width

= 3 × 2

= 6 units^2

B.

Rectangle B:

Length, l = 3 units

Width, b = 2 + 1/2 units

= 5/2 units

Area of a rectangle = length × width

= 3 × 5/2

= 15/2 units^2

C.

Rectangle C:

Length, l = 5 units

Width, b = 1 + 1/2 units

= 3/2 units

Area of a rectangle = length × width

= 5 × 3/2

= 15/2 units^2

D.

Rectangle D:

Length, l = 2 units

Width, b = 1 + 3/4 units

= 7/4 units

Area of a rectangle = length × width

= 2 × 7/4

= 7/2 units^2

E.

Rectangle E:

Length, l = 5 units

Width, b = 3/4 units

= 3/4units

Area of a rectangle = length × width

= 5 × 3/4

= 15/4 units^2

Select the graph of the solution. Click until the correct graph appears. pls helpx < 4

Answers

Answer:

The correct one is the one on the left.

(the arrow pointing to the left)

What is the value of the expression |x| + |y + z| when x = –6, y = –3, and z = –5?

Answers

x=-6, y=-3, z=-5

|x|+|y+z|=|-6|+|-3-5|=6+|-8|=6+8=14

Jada has a meal in a restaurant. She adds up the prices listed on the menu for everything they ordered and gets a subtotal of $42.00.c) They actually pay $52.99. The additional $7 is a tip for the server. What percentage of the subtotal is the tip?

Answers

Answer: See explanation

Step-by-step explanation:

Your question wasn't well written but I saw an identical question so let me help out.

a. Jada has a meal in a restaurant she adds up the prices listed on the menu for everything they ordered and gets a subtotal of $42.00. When the check comes, it says they also need to pay $3.99 in sales tax. what percentage of the subtotal is the sales tax?

b. They actually pay $52.99. The additional $7 is a tip for the server. What percentage of the subtotal is the tip?

a. Subtotal = $42.00

Tax = $3.99

Percentage of subtotal that is sales tax will be:

= Sales tax/Subtotal × 100

= 3.99/42.00 × 100

= 9.5%

b. Tip = $7

Sub total = $42

The percentage of the subtotal that is the tip will be:

= Tip/Sub total × 100

= 7/42 × 100

= 16.67%

Luke’s parents started a savings account to help him pay for college or a technology school when he turned 11 years old. Each month they put $125 into the savings account, and they continued this until he was 18 years old. The savings account did not accumulate any interest. Luke figured out that the first year of a technology school that he wanted to attend would cost him $12,480. If he had one year to save the rest of the money, how much would he need to save each month? A. 165
B.40
C.1980
D.1040

Answers

B has a savings account, into which he must deposit $40 each month.

What's the point of the example?

Interest is frequently calculated as an annual percentage of the amount borrowed. This percentage represents the loan's interest rate. For instance, a bank will pay interest if you deposit money in a high-yield savings account.

From the time he was 11 to the time he was 18, Luke's parents saved for him for 8 years, or 8 years x 12 months every year, or 96 months.

Since they were saving $125 per month throughout this time, Luke had amassed the following sum:

$125/month x 96 months = $12,000

Luke must still pay the following expenses because he needs $12,480 for his first year of technological school:

$12,480 - $12,000 = $480

If he has one year left to save this amount, he will need to save:

$480÷12months = $40per month

Therefore, the answer is B. $40.

To know more about deposit visit:-

brainly.com/question/14303353

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Write the equation for the vertical line that contains point E(–7, 7).Choose one answer.
a. y = –7
b. y = 7
c. x = 7
d. x = –7

Answers

Answer:

x=-7

Step-by-step explanation:

the equation for the vertical line that contains point E(–7, 7)

General equation of a vertical line is x= some number

The given point is (x,y)

point E (-7,7) where x=-7 , y=7

To get the equation of the vertical line

x= value of x in the given point

x=-7 is the equation of the vertical line

It would be B. y = 7 because it says write the equation for the VERTICAL LINE which is the y axis. Since the points are (-7, 7), it is the same thing as (x, y) the positive 7 is where the y is, so it would be y = 7