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3 years ago

Which value must be added to the expression x^2+12x to make it a perfect-square trinomial?

Mathematics

1 answer:

Studentka2010 [4]3 years ago

3 0

Answer:

Add 36. The factored form is $(x+6)^2$ .

Step-by-step explanation:

A perfect square is a trinomial that factors into the form $(x+a)^2$ . To find the value to add to it divide 20 by 2 and square it.

12/2 = 6

6*6 = 36

This means c=36. The factored form is $(x+6)^2$ .

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3. Which is the best estimate of the following sum? 5 3/8 + 7 7/8 = ? a. 11 b. 12 C. 13 d. 14

balandron [24]

A bfhgjfjrhdjxhfhgggjxyx

3 0

3 years ago

A supplier sells 214 2 1 4 pounds of mulch for every 113 1 1 3 pounds of gravel. The supplier sells 172 pounds of mulch and grav

Dennis_Churaev [7]

Answer:

2.25 + 1 1/3=3.5833333 combined number of pounds of mulch and gravel sold.

2.25/3.583333 X 172=108 pounds of mulch that the supplier sells

(1 1/3) / 3.583333 X 172=64 pounds of gravel that the supplier sells.

Step-by-step explanation:

Let 'x' = pounds of gravel The ratio of mulch to gravel is given 2 1/4 / 1 1/3 Which equals 9/4 / 4/3 = 27/16

So the total gravel and much is equal to x + 27/16x = 172

Solving for 'x'

43/16 x = 172

x = 172 (16/43) = 64 pounds of gravel Mulch = 27/16x = 64 (27/16)= 108 pounds

3 0

4 years ago

Determine whether the equation is always, sometimes, or never true. 2/3 x + 4 = 2x

Anarel [89]

Answer:

Always true

Step-by-step explanation:

Given

$\frac{2}{3}x + 4 = 2x$

Required

Determine its type of solution

$\frac{2}{3}x + 4 = 2x$

Collect Like Terms

$2x - \frac{2}{3}x = 4$

Take LCM

$\frac{6x - 2x}{3} = 4$

$\frac{4x}{3} = 4$

Multiply both sides by $\frac{3}{4}$

$\frac{4x}{3} * \frac{3}{4}= 4 * \frac{3}{4}$

$x = 4 * \frac{3}{4}$

$x = 3$

Hence, the equation is always true for x = 3

8 0

3 years ago

Trey has a peanut allergy, so he eats granola bars that are nut free.A box of nut-free granola bars costs $4.50 after a 10% disc

jek_recluse [69]

Answer: The regular price of the granola bars were $5 each.

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

Discount = 10% = 0.10 (decimal form, 10/100 =0.1)
Cost after discount: $4.50

So, the original price of the granola bar (x) multiplied by 0.9 ( since 100% is the full price,1- 0.1= 0.9) equals to 4.50 (cost after discount)

Mathematically speaking

x (1- 0.1) = 4.50

x 0.9 =4.50

x = 4.50/0.9

x= 5

Feel free to ask for more if needed or if you did not understand something.

7 0

3 years ago

Read 2 more answers

At the start of the month, Jodie had sold 885 copies of her new book. At the end of the month, she had sold 1,364 copies of her

ozzi

Approximately $ 31419 profit is earned from selling books in entire month

Solution:

Given that Jodie had sold 885 copies of her new book

At the end of the month, she had sold 1,364 copies of her book

We have to determine the profit earned in the entire month

From given information,

Start of month sale = 885 copies

End of month sale = 1364 copies

Total copies of books sold = Start of month sold + end of month sold

Total copies of books sold = 885 + 1364 = 2249

Also given that each book profit is $ 13.97

Profit of 1 book = $ 13.97

Therefore for 2249 books, profit earned is given as:

Profit of 2249 books = $ 13.97 x 2249 = 31418.53

Therefore approximately $ 31419 profit is earned from selling books in entire month

5 0

3 years ago