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SashulF [63]
3 years ago
5

What number must you add to complete the square x^2+24x=17

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
8 0
We have
x² + 24x = 17                          (1)

Note that
(x + 12)² = x² + 24x + 144
By adding 144 to the left side of equation (1), it becomes a perfect square.

Therefore
x² + 24x = (x+12)² - 144         (2)

Substitute (2) into (1).
(x + 12)² - 144 = 17 
(x + 12)² = 17 +144
(x + 12)² = 161

Answer:
We added 144 to the left side of equation (1) in order to make it a perfect square.

Ksenya-84 [330]3 years ago
4 0

The correct answer is 144

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Donna borrowed $10, 500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and ho
k0ka [10]
<h2><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</h2>

Donna borrowed $10,500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and how much is the car altogether ?

<h2><u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u>:-</h2>

<h3>Given:-</h3>

\bullet Principal (P) = $10,500

\bullet Rate of interest (r) = 4%

\bullet Time (t) = 3 years

<h3>To Find:-</h3>

Interest of Donna and amount of car altogether.

<h2>Solution:-</h2>

We know,

{ \boxed{\rm \red {I \: = \frac{Prt}{100}}}}

\therefore I = \frac{10,500 \: × \: 4 \: × \: 3}{100}

I = \frac{126,000}{100}

I = $1260

Now,

Amount of the car = $ (10,500 + 1260)

= $ 11,760

<h3><u>$</u><u>1</u><u>2</u><u>6</u><u>0</u> interest would Donna pay and <u>$</u><u>1</u><u>1</u><u>,</u><u>7</u><u>6</u><u>0</u> is the car altogether. [Answer]</h3>
7 0
3 years ago
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6409 divided by 61 = ?
Kitty [74]
105 r4
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3 0
3 years ago
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Consider that your profit-maximizing quantity of 500 can be produced at an average cost per unit of $9 and sold for a market pri
timama [110]

Based on the quantity sold and the price, the profit per unit is <u>$5</u> and the total profit is<u> $2,500</u>

The profit made from each unit sold can be found as:

<em>= Market price - Average cost </em>

= 14 - 9

= $5

The total profit would therefore be:

<em>= Profit per unit x Number of units sold </em>

= 5 x 500

= $2,500

In conclusion, the profit per unit is $5 and the total profit is $2,500

Find out more about profit per unit at brainly.com/question/25531124.

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