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Neko [114]
3 years ago
10

Solve x^2+12x=-11by completing the square which is the solution set of the equation A={-11,-1} B={-11,1} C={11,-1} D={11,1}

Mathematics
2 answers:
harkovskaia [24]3 years ago
8 0

Answer:

-11 and -1

Step-by-step explanation:

x² + 12x = -11

x² + 12x + 36 = -11 + 36

(x+6)² = 25

x + 6 = √25

x + 6 = 5

x = 5 - 6

x = -1

x+6 = -5

x = -11

Musya8 [376]3 years ago
4 0

Answer:B

Step-by-step explanation:

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Lyle bought a baseball card for $800. If the value of the card decreases by 1.5% each year, find the value of the card after 12
allsm [11]

Answer:

FV= $669.11

Step-by-step explanation:

Giving the following information:

Purchase price (PV)= $800

Decrease value (d)= 1.5% per year

Number of periods (n)= 12 years

<u>To calculate the value of the card after 12 years, we need to use the following formula:</u>

FV= PV / (1 + d)^n

FV= 800 / (1.015^12)

FV= $669.11

6 0
3 years ago
10 2/6 - 7 5/6 i know its prob easy but i need help
miv72 [106K]

Answer: 2 1/3

Explanation:

10 2/6 - 7 5/6

You can make both a fraction by multiplying the denominator by the whole number, and then adding the numerator to that number, and keeping the denominator the same. So, 10*6 = 60 and 60 + 2 = 62 and you keep the denominator as 6, which would make 62/6

7*6 = 42 and 42 + 5 = 47 so 7 5/6 becomes 47/6

10 2/6 is equivalent to 62/6

7 5/6 is equivalent to 47/6

This just makes it easier to look at.

Now you just work through the equation.

62/6 - 47/6 = 15/6

15/6 = 2 3/6 = 2 1/3

3 0
3 years ago
The sum of two integers is 9 and the sum of their squares is 53. Find the integers.
Schach [20]
X + y = 9 Subtract x from both sides.
y = 9 - x

x^2 + y^2 = 53
x^2 + (9 - x)^2 = 53 Remove the brackets.
x^2 + 81 - 18x + x^2 = 53 Collect the like terms on the left.
2x^2 - 18x + 81 = 53 Subtract 53 from both sides.
2x^2 - 18x + 81 - 53 = 0
2x^2 - 18x + 28 = 0 This factors, but you can see it much easier if you pull out 2 as a common factor.
2(x^2 - 9x + 14) = 0
2(x - 2)(x - 7) =0 You could divide by 2 on both sides. But you can also leave it.
x - 2 = 0
x =  2
x - 7 = 0
x = 7
If x = 2 then y = 7
If x = 7 then y = 2
6 0
3 years ago
What is the reciprocal of -2/3
ryzh [129]
3/-2

I Hoped I Helped

<span>ΩΩΩΩΩΩΩΩΩΩ</span>
8 0
4 years ago
Read 2 more answers
The u.s. senate consists of 100 members, 2 from each state. A committee of five senators is formed. What is probability it conta
shtirl [24]

Answer:

The probability is 9.80%.

Step-by-step explanation:

The u.s. senate consists of 100 members, 2 from each state.

A committee of five senators is formed.

P(at least one from Your state) = 1- \frac{98c5}{100c5}

= 1- \frac{67910864}{75287520}

= 1-0.9020

= 0.098

That is, 9.80%.

4 0
3 years ago
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