Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
form an equation using the information given.
x = number of sets in a row
x - 7 = number of rows
x(x - 7) = 638
x^2 - 7x = 638
make a quadratic equation
x^2 - 7x - 638 = 0
then solve either using quadratic equation or find two numbers that add to make -7 and multiply to make -638, one number is negative and one is positive, as the product of the numbers is negative.
-29 + 22 = -7
-29 x 22 = -639
then put into brackets
(x - 29)(x + 22) = 0
when the equation equals zero you can find two values for x
x = 29 or -22
x = number of sets in a row
x - 7 = number of rows
x(x - 7) = 638
x^2 - 7x = 638
make a quadratic equation
x^2 - 7x - 638 = 0
then solve either using quadratic equation or find two numbers that add to make -7 and multiply to make -638, one number is negative and one is positive, as the product of the numbers is negative.
-29 + 22 = -7
-29 x 22 = -639
then put into brackets
(x - 29)(x + 22) = 0
when the equation equals zero you can find two values for x
x = 29 or -22
rows =x
seats per row=x+7
and total seats = rows times seats per row or x(x+7) or x^2+7x=seats =638
so if you subtract 638 from both sides you can get an equation thatyou can factor out (x^2+7x-638)=0
638 factors out to 2 times 11 times 29 so
(x-22)(x+29)=0
so x-22=0
x=22
or x+29=0
x=-29 but you can't have a negative number of rows so this answer is wrong
so the answer is there are 22 rows and 29 seats (22+7=29)
seats per row=x+7
and total seats = rows times seats per row or x(x+7) or x^2+7x=seats =638
so if you subtract 638 from both sides you can get an equation thatyou can factor out (x^2+7x-638)=0
638 factors out to 2 times 11 times 29 so
(x-22)(x+29)=0
so x-22=0
x=22
or x+29=0
x=-29 but you can't have a negative number of rows so this answer is wrong
so the answer is there are 22 rows and 29 seats (22+7=29)
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.