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mel-nik [20]
1 year ago
9

Brahmagupta solved a quadratic equation of the form ax2 + bx = c using the formula x =, which involved only one solution. Using

Brahmagupta’s method, the solution to the quadratic equation x2 + 7x = 8 would be x = 1. Using modern methods, the first step in solving the quadratic equation x2 + 7x = 8 would be to put it in standard form by . What is the second solution?
Mathematics
2 answers:
weeeeeb [17]1 year ago
4 0
X2+7x-8=0
product=-8 times 1 = -8
sum= 7
{-1, 8}
x2-1x+8x-8=0
x(x-1)+8(x-1)=0
x+8=0 or X-1=0
x=-8
RideAnS [48]1 year ago
4 0

Answer:

First part- subtracting 8 from both sides

Second part- x=-8

Step-by-step explanation:

edg 2020

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After dinner 3/4 of a pie remains. if tasha eats 1/6 of the remaining pie
astraxan [27]

Answer: 1/8

Step-by-step explanation: 3/4 x 1/6 = 24/3 (simplify to 1/8)

4 0
2 years ago
A dormitory has 40 students---12 sophomores, 8 juniors, and 20 seniors. Which of the following is equal to the number of ways to
Maurinko [17]

Answer:

The number of ways is equal to 12!8!20!

Step-by-step explanation:

The multiplication principle states that If a first experiment can happen in n1 ways, then a second experiment can happen in n2 ways ... and finally a i-experiment can happen in ni ways therefore the total ways in which the whole experiment can occur are

n1 x n2 x ... x ni

Also, given n-elements in which we want to put them in a row, the total ways to do this are n! that is n-factorial.

For example : We want to put 4 different objects in a row.

The total ways to do this are 4!=4.3.2.1=24 ways.

Using the multiplication principle and the n-factorial number :

The number of ways to put all 40 in a row for a picture, with all 12 sophomores on the left,all 8 juniors in the middle, and all 20 seniors on the right are : The total ways to put all 12 sophomores in a row multiply by the ways to put the 8 juniors in a row and finally multiply by the total ways to put all 20 senior in a row ⇒ 12!8!20!

4 0
2 years ago
Mike's closing costs will add up to 4 percent and he'll make a down payment of 20 percent on a house that costs $210,000. Over t
postnew [5]
<span>For the question "Mike's closing costs will add up to 4 percent and he'll make a down payment of 20 percent on a house that costs $210,000. Over the life of his loan, he will pay $197,040.76 in monthly payments. What is the total cost of his house?" To obtain the total cost of the house, we first obtain the amount he paid as the closing costs and the down payment he paid which we will add to the total amount paid in monthly payments. Closing cost = 4% of $210,000 = 0.04 x 210,000 = $8,400 Down payment = 20% of $210,000 = 0.2 x 210,000 = $42,000 Total monthly payments = $197,040.76 Total cost of the house = $8,400 + $42,000 + $197,040.76 = $247,440.76</span>
7 0
2 years ago
Darren invests $4,500 into an account that earns 5% annual interests. How much will be in the account after 10 years if the inte
xz_007 [3.2K]

We have been given that Darren invests $4,500 into an account that earns 5% annual interests. We are asked to find the amount in his account after 10 years, if the interest rate is compounded annually, quarterly, monthly, or daily.

We will use compound interest formula to solve our given problem.  

A=P(1+\frac{r}{n})^{nt}, where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

5\%=\frac{5}{100}=0.05  

When compounded annually, n=1:

A=4500(1+\frac{0.05}{1})^{1\cdot 10}

A=4500(1.05)^{10}

A=4500(1.6288946267774414)

A=7330.025820498\approx 7330.03

When compounded quarterly, n=4:

A=4500(1+\frac{0.05}{4})^{4\cdot 10}

A=4500(1.0125)^{40}

A=4500(1.6436194634870132)

A=7396.28758569\approx 7396.29

When compounded monthly, n=12:

A=4500(1+\frac{0.05}{12})^{12\cdot 10}

A=4500(1.00416666)^{120}

A=4500(1.64700949769)

A=7411.542739605\approx 7411.54

When compounded daily, n=365:

A=4500(1+\frac{0.05}{365})^{365\cdot 10}

A=4500(1.0001369863013699)^{3650}

A=4500(1.6486648137656943695)

A=7418.9916619456\approx 7419.00

Since amount earned will be maximum, when interest is compounded daily, therefore, Darren should use compounded daily interest rate.

4 0
2 years ago
Maggie has a ribbon 27 feet long.What is the length of the ribbon in yards?
finlep [7]
The ribbon would be 9 yards long
3 0
1 year ago
Read 2 more answers
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