Solve x2 + 12x = –11 by completing the square. Which is the solution set of the equation?

Answers

Answer 1

Answer: If you would like to solve the equation x^2 + 12 * x = -11, you can calculate this using the following steps:

x^2 + 12 * x = -11
x^2 + 12 * x + 11 = 0
(x + 1) * (x + 11) = 0
1. x = - 1
2. x = - 11

The correct result would be x = - 1, or x = - 11.

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Simplify the expression. 12^–3 • 12^10 • 12^0A. 1 B. 1728^7 C. 12^7 D. 36^7
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How do you simplify (1/x+h) - (1/x)

Ashley deposits $1000 into an account that earns 4% interest compounded 2 times per year. how much money will Ashley have in her account after 5 years? round to the nearest cent A)1520.30
B)1892.19
C)1218.99
D)1253.00

Answers

The equation for compound interest is $A=P(1+(r)/(n))^(nt)$ , where:
P is the original deposit (or "principal")
r is the rate of the interest (in decimal form)
n is the number of times per year that the interest is compounded
t is the time passed in years

Plugging in your values, we see that the equation becomes $A=1000(1+(.04)/(2))^((2)(5))=1000(1.02)^(10)$

which equals, to the nearest cent, $1218.99, which is answer C.

what would be an outlier if added to the data set below? 507, 586, 499, 542, 615, 600, 561, 519 A.487 B.535 C.610 D.380

Answers

I am pretty sure the answer is F

How do I solve for the equation s=3f-24? Solve for f

Answers

s-3f=-24
-3f=-24-s
3f=24+s
f=24+s/3

Final answer:

To solve for 'f' in the algebraic equation 's=3f-24', add 24 to 's' and then divide the result by 3.

Explanation:

To solve the algebraic equation 's=3f-24' for 'f', you would first decide to isolate 'f'. To do this, start by getting rid of the '-24' on the right side of the equation by adding 24 to both sides. This would simplify the equation to 's+24=3f'. Next, divide both sides of the equation by 3. This step will result in a final solution of 'f=(s+24)/3'. So, to solve for 'f' in the provided equation, simply add 24 to the original 's' value and then divide the result by 3.

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the area of a rectangular pool is given by the trinomial to 2y^2+y - 3 what are the possible dimensions of a pool. use factoring

Answers

2y² + y - 3

(2y+3)(y-1)

2y(y-1) + 3(y-1)
2y² - 2y + 3y - 3
2y² + y - 3

2y + 3 = 0
2y = -3
y = -3/2
y = -1 1/2

y - 1 = 0
y = 1

2y² + y - 3 = 0
2(-3/2)² + (-3/2) - 3 = 0
2(9/4) - 3/2 - 3 = 0
18/4 - 3/2 - 3 = 0
18/4 - (3/2 * 2/2) - 3(4/4) = 0
18/4 - 6/4 - 12/4 = 0
(18 - 6 - 12)/4 = 0
(18 -18)/4 = 0
0/4 = 0
0 = 0

Answer:

(y+1)(2y−3)

Step-by-step explanation:

Which shows 60^2 − 40^2 being evaluated using the difference of squares method?(A)60^2-40^2=(3600+1600)(3600-1600)=10,400,000
(B)6^2-40^2=3600-1600=2,000
(C)60^2-40^2=(60-40)^2=20^2=400
(D)60^2-40^2=(60+40)(60-40)=(100)(20)=2,000

Answers

Answer:

Option D - $60^2-40^2=(60+40)(60-40)=(100)(20)=2000$

Step-by-step explanation:

Given : Expression $60^2-40^2$

To find : Which shows expression being evaluated using the difference of squares method?

Solution :

The best method to find the difference of squares method is by using identity,

$a^2-b^2=(a+b)(a-b)$

According to question,

a=60 and b=40

$60^2-40^2=(60+40)(60-40)$

$60^2-40^2=(100)(20)$

$60^2-40^2=2000$

Therefore, Option D is correct.

D. The answer has to be 2,000, eliminating A and C. B doesn't even use the original equation, as well as incorrectly solving the method, so D is the correct answer, even if you don't understand the principles.

Foil Multiplication (2n+4)•(4n+7)

Answers

(2n+4)x(4n+7)

= 8n^2+14x+16n+28
=8n^2+30n+28

that's it :) !!

Step 1: 8n+14n+12n+28

Step 2 Combine like terms: 8n+26+28

Final Answer: 34n+28

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Bill and Lisa are surveying their classmates about their summer reading. Their questions are given below:Bill: How many books were recommended by the book reading club this month? Lisa: How many books did you read from the recommended list?Who wrote a statistical question and why?A.Lisa, because there can be only one answer to the questionB.Bill, because there can be many answers to the questionC.Lisa, because there will be variability in the responses collectedD.Bill, because every student will give the same answer

Please help will give medal!!!!When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using __________.

HELP PLEASE ASAP thank you!!!