Ask question

Ask question

All categories

musickatia [10]

3 years ago

14

The total number of seats in a theatre is modeled by f(x)=x^2-3x, where x represents the number of rows of seats. How many rows

are there in the theatre if it has a total of 208 seats

1 answer:

Gre4nikov [31]3 years ago

7 0

Answer:

16 rows

Step-by-step explanation:

x² - 3x = 208

Subtract 208 from both sides

x² - 3x - 208 = 0

Factor

(x - 16)(x + 13) = 0

x = {-13, 16}

The number of rows must be positive

x = 16

You might be interested in

a drivet who drives at a speed of r mph for t hr will travel a distance d mi giveb by d = rt mi. how far will a driver travel at

Pavel [41]

D = RT ,
D = 59 × 5
D = 295 m

8 0

3 years ago

1-25. Given f(x) =- 2/3x +3 and g(x) = 2x2 - 5, complete parts (a) through (f).

Korolek [52]

Answer:

When f or g are equivalent to a number you are solving for x. For example b, d, e, f. In the equation g(x) =2x2-5 I assumed 2 was a typo. So, if it's incorrect, please use same steps and just adjust the solution.

Step-by-step explanation:

$f(x)=-\frac{2}{3x}+3$

a) $f(3)=-\frac{2}{2(3)} +3$

$=-\frac{1}{3}+3$ $=\frac{-1+6}{3}$ $=\frac{5}{3}$

b) $f(x)=-5$

$-5=-\frac{2}{3x}+3$

$-8=-\frac{2}{3x}$

$-24x=-2$

$x=\frac{1}{12}$

$g(x)=2x-5$

c) $g(-3)=2(-3)-5$

$=-6-5$

$=-11$

d) $g(x)=-7$

$-7=2x-5$

$-2=2x$

$x=-1$

e) $g(x)=8$

$8=2x-5$

$12=2x$

$x=6$

f) $g(x)=9$

$9=2x-5$

$11=2x$

$x=\frac{11}{2}$

3 0

3 years ago

A(7x+3)=14x+b<br> What are the values of A and B?

Likurg_2 [28]

Answer:

24

Step-by-step explanation:

I think there the same for each but I hope I helped

5 0

3 years ago

Gfern025 i dont know

Kipish [7]

Answer:

???????????????????????????????????????

4 0

2 years ago

Read 2 more answers

Allam just finished a great meal at a restaurant in Wisconsin. The sales tax in Wisconsin is 5\%5%, and it is customary to leave

Kamila [148]

$18.00 total payment

$15.00 x .05(tax) =$ .75
$15.00 x .15(tip) =$ 2.25
________________________
   $ 3.00
       + $15.00
----------------------------------
   $18.00

7 0

3 years ago