an animal shelter spends $1.50 per day to care for each bird and $8.50 per day to care for each cat. alexander noticed that the shelter spent $108.00 caring for birds and cats on tuesday. alexander found a record showing that there were a total of 30 birds and cats on tuesday. how many birds were at the shelter on tuesday?

The number of birds at the shelter on Tuesday is 21  .

Step-by-step explanation:

Given as :

The amount  spent for each bird care = $ 1.50

The amount spend for each cat care = $ 8.50

Total amount spend for both bird and cat care =  $ 108.00

The total number of birds and cats on Tuesday = 30

Now,

Let The number of birds = B

and The number of cats = C

According to question

B + C = 30      and           ...........1

$ 1.50 B + $ 8.50 C = $ 108                ..............2

Solve both equations

I.e 1.50 × ( B + C ) = 1.50 × 30

Or ,  1.50 B + 1.50 C = 45

So, ( 1.50 B + 8.50 C ) - (  1.50 B + 1.50 C ) = 108 - 45

Or , (1.50 B - 1.50 B ) + (8.50 C - 1.50 C ) = 63

Or, 0 + 7 C = 63

∴   C =

I.e  C = 9

Put The value of C in eq 1

So, B = 30 - C

or, B = 30 - 9

∴   B = 21

Hence The number of birds at the shelter on Tuesday is 21  . Answer

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

2 x 503

step-by-step explanation:

its 1006