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Mandarinka [93]
3 years ago
10

Complete the square to form a perfect square trinomial x^2-14x+

Mathematics
1 answer:
fiasKO [112]3 years ago
7 0
Answer: x^2 - 14x + 49

Explanation:

1) Divide the coefficient of x by 2:

14 / 2 = 7

2) so you have to add 7^2 = 49

x^2 - 14x + 49

3) that trinomial is equivalent to:

=> (x - 7)^2

4) prove that using the formula (a - b)^2 = a^2 - 2ab + b^2

(x - 7)^2  = x^2 - 14x + 49

Then you have to add 49 to complete the square. and form a perfect square trinomial.
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Anisha invested $8,000 in an account that earns 10% interest How much money will she have in 15 years of the interest is compoun
tamaranim1 [39]

Answer:

A = $35,198.32

Step-by-step explanation:

<em>Use the formula to calculate compound interest</em>:

A = P(1 + i)ⁿ

"A" for total amount after the time period

"P" for principal, or starting money

"i" for the interest rate in a compounding period

To calculate "i":

i = r / c

"n" for the number of compounding periods

To calculate "n":

n = tc

So, we can <u>combine the formulas</u> into:

A = P(1+\frac{r}{c})^{tc}

"c" is the compounding periods in a year. (quarterly = 4)

<u>We know</u>:

P = 8000

r = 10% / 100 = 0.1

t = 15

c = 4

<u>Substitute the information in the formula</u>.

A = P(1+\frac{r}{c})^{tc}

A = 8000(1+\frac{0.1}{4})^{15*4}      Solve "i" and "n"

A = 8000(1+0.025)^{60}        Solve inside the brackets

A = 8000(1.025)^{60}         Do the exponent before multiplying by 8000

A = 35198.318             Exact answer

A ≈ 35198.32              Round to two decimal places for money

Therefore she will have $35,198.32 after 15 years.

5 0
3 years ago
Can any one solve this
GenaCL600 [577]
The answer is (5,-3) I hope this helps you!

3 0
2 years ago
movie theater sold 5400 tickets yesterday of those, 3240 tickets were for Star Wars. what was the percentage it sold yesterday w
Gnesinka [82]
3240 star wars tickets divided into 5400 total tickets = .6 × 100 = 60%
May the Force be with you.
8 0
3 years ago
Which of the following is equivalent to sec2θ−1sec2θ for all values of θ for which sec2θ−1sec2θ is defined?
galina1969 [7]

Answer:

2 sin^2 \theta

Step-by-step explanation:

According to the scenario, the following information is given:

= \frac{sec^2 \theta - 1 }{sec^2 \theta}

= (\frac{1}{\frac{cos^2\theta}{\frac{1}{cos^2\theta} }} - 1)

= 1 - cos^2\theta\\\\= 1 - (1 - 2 sin^2 \theta)\\\\= 2 sin^2 \theta

Therefore for the given equation, the answer is 2 sin^2 \theta

5 0
3 years ago
Question is in the pic<br><br> pls include step by step if possible
Rama09 [41]

Answer:

34

Step-by-step explanation:

(x + 12) + 100 + x = 180

2x + 112 = 180

2x = 68

x = 34

6 0
2 years ago
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