A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 3 tables is $23. The total cost to rent 6 chairs and 5 tables is $43. What is the cost to rent each chair and each table?

chairs: $1.75, tables: $6.50

Step-by-step explanation:

x is tables, y is chairs.

3x +2y=23

5x+6y=43

then:

9x+6y=69 ( multiply all by 3)

-5x-6x=-43 (multiply by -1)

Now add

4x=26

x=6.5

plug x back in to find y

3(6.5)+2y+=23

2y=3.5

y=1.75

Table = 6.50; Chair = 1.75

Step-by-step explanation:

2c + 3t = 23

6c + 5t = 43

Multiply the first equation by -3

-6c - 9t = -69

Then, add the following lines together:

-6c -9t = -69

6c +5t = 43

-4t = -26

t = -26/-4 = 6.5

Plug in the value of t into 2c +3t = 23

2c +19.5 = 23

Subtract 19.5 from both sides

2c = 3.5

c = 3.5/2 = 1.75

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

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !