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devlian [24]
2 years ago
9

Simplify the quadratic term by squaring the (x+1) term.

Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
6 0

Answer:

y =  -2x^2 -4x +1

Step-by-step explanation:

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

Foil (x+1)^2

(x+1)(x+1) = x^2 +x+x+1 = x^2 +2x+1

Substitute this back in

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

Distribute

y-3 = -2x^2 -4x -2

Add 3 to each side

y-3+3 = -2x^2 -4x -2+3

y =  -2x^2 -4x +1

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Heidi's Accessories bought 50 necklaces for $10 each on account. The invoice included a 6% sales tax and payment terms of 2/10,
garri49 [273]

Answer:

<u>The correct answer is B. Accounts payable for US$ 53.oo</u>

Step-by-step explanation:

1. Let's recall what is the Journal entry when a company return part of the inventory previously purchased:

Debit

The amount Heidi's accessories owed to the supplier would have been sitting as a credit on the accounts payable account because the invoice has not been payed. In the case of this return, we should debit it because we should diminish the amount due.

Credit

The goods Heidi's accessories are returning and therefore, the asset of inventory decreases. The credit to purchase returns reduces the value of the total purchases. That's why options C and D are incorrect.

2. Now, let's calculate the amount of the return that Heidi's accessories made, this way:

Return = Number of necklaces * Price of each necklace + Sales taxes

Replacing with the real values, we have:

Return = 5 * 10 + (5 * 10) * 0.06

Return = 50 + (50) * 0.06

Return = 50 + 3 = 53

<u>The correct answer is B. Accounts payable for US$ 53.oo</u>

7 0
3 years ago
Graph the function 2 3^sqrt x+2 +4​
Ghella [55]

Answer: b; y intercept between 8 and 4

Step-by-step explanation:

1. a; 2/3

2. b; 3, all real numbers except x=2

3. a; $.75

4. c; intercepting at (-3,-3)

5. b; 5

6. a; starts at 3

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8 0
3 years ago
The relationship between sets of rational numbers is pictured below
REY [17]

The correct answer is G. Integers include whole numbers and natural numbers.

Explanation:

The graph presented shows the relationship between different sets of numbers. In this graph, the second most general category is integers, and this covers or includes two smaller categories which are whole numbers and natural numbers. This means the whole and natural numbers are part of integers.

Indeed, integers include numbers such as 10, 256, or -6 because these can be expressed without using fractions or decimals. Also, this category includes whole or non-decimal numbers, as well as natural numbers, which are positive whole numbers such as 36 or 1546. According to this, the correct answer is G.

6 0
2 years ago
Grady drove 34 miles to his grandmas house. Next he drove 48 miles to visit his uncle. The trip took 90 minutes. If he drove at
Alona [7]

Answer:

55 mph

Step-by-step explanation:

speed = 54.6667 miles per hour

approximately 55 miles per hour

hope this helps! :D

have a miraculous day!! <3

*plus, your stick student's dinner is pizza!! :D*

5 0
2 years ago
Simplify.<br> √192<br><br> A. 8√3<br><br> B. 64√3<br><br> C. 10√6<br><br> D. 8√24
ale4655 [162]
The correct answer is:  [A]:  " 8 √3 " .
_______________________________________________
Note:

√192 = √64 * √3 = 8 √3 ; which is:  "Answer choice:  [A] ."
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6 0
3 years ago
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