All categories

3 years ago

Find the value of c that completes the square for x2−15x+c

Mathematics

1 answer:

meriva3 years ago

5 0

Answer:

The value of <em>c</em> is $\frac{225}{4}$ .

Step-by-step explanation:

The perfect square of the difference between two numbers is:

$(x-y)^{2}=x^{2}-2xy+y^{2}$

The expression provided is:

$x^{2}-15x+c$

The expression is a perfect square of the difference between two numbers.

One of the number is <em>x</em> and the other is √<em>c</em>.

Use the above relation to compute the value of <em>c</em> as follows:

$x^{2}-15x+c=(x-\sqrt{c})^{2}\\\\x^{2}-15x+c=x^{2}-2\cdot x\cdot\sqrt{c}+c\\\\15x=2\cdot x\cdot\sqrt{c}\\\\15=2\cdot\sqrt{c}\\\\\sqrt{c}=\frac{15}{2}\\\\c=[\frac{15}{2}]^{2}\\\\c=\frac{225}{4}$

Thus, the value of <em>c</em> is $\frac{225}{4}$ .

You might be interested in

What is the value of n in the equation ? n = 0 n = 2 n = 4 n = 6

RideAnS [48]

Answer:

N=2

Step-by-step explanation:

N=2

5 0

3 years ago

Read 2 more answers

Collecting data from a sample that does not represent the population is called

juin [17]

The answer in the given statement above is sample bias, this is considered to be a sampling error because this type of technique uses a sample in which they don’t represent the population, causing error in which could be eliminated with the use of methods.

8 0

2 years ago

Lola is making greeting cards, which she will sell by the box at an arts fair. She paid $50 for a booth at the fair, and the mat

Schach [20]

At some point, she will sell enough cards so that her sales cover her expenditures. So, the correct answer is ($40)

<h3> How did we figure this out?</h3>

Lola is making greeting cards, which she will sell by the box at an arts fair. She paid $50 for a booth at the fair, and the materials for each box of cards cost $8. She will sell the cards for $10 per box of cards.

We are going to use 50, 8 and 10 to find are answer.

Therefore, we are going to divide the numbers:

$\boxed{50/10}$

Division problem
50/10
8 x ? = 40

<h3 /><h3>What is the missing number?</h3>

First, we need to figure out 50/10:

$\boxed{50/10=5}$

$\boxed{8x5=40}$

$5=40\\(50/10=5=8x5=40)$

Therefore, at some point, she will sell enough cards so that her sales cover her expenditures. So, the correct answer is ($40)

8 0

1 year ago

A store has 7 red shirts, 15 black shirts, 13

AleksAgata [21]

Answer:First you have to add all of the shirts together, which gives you: 40

Since 15 of those are black, then you need to put those 15 over the total number of 40, making it 15/40.

Then you must simplify by the highest number that will go into both, and since that number is 5, it will then go into 15 three times and it will go into 40 eight times.

That leaves you with the answer of: 3/8

6 0

2 years ago

The integer<br> is neither positive nor negative.

Artist 52 [7]

Answer:

false

Step-by-step explanation:

an integer is any number greater or less than 0

8 0

3 years ago