Answer:
There are 24 cats at the shelter on Wednesday.
Step-by-step explanation:
Since we have given that
Cost of an animal shelter per day to care for each cat =$1.00
Cost of an animal shelter per day to care for each dog = $4.50
Let number of cats be c
Let number of dogs be d
According to question,
We will use "Substitution Method ",
Put in the second equation :
so, Number of dogs = 25
and
Hence, Number of cats is 24.
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Answer:
3391.2
Step-by-step explanation:
The formula for the volume of a cylinder is
pi * r^2 * h
Plugging the values in we get
3.14 * 6^2 * 30
= 3.14 * 36 * 30
= 3391.2
Step-by-step explanation:
(f○g)(7)
= f(g(7))
g(7) = 7 + 2
= 9
f(9) = 4(9) .....
......
The Solution.
The given points are

The formula is

In this case,

Therefore,



Hence, the correct answer is (-1, 4) (option 3)
<u>Answer:</u>
If x-2 is a factor of p(x) = x^{4} - 3 x^{2} + 2 x - 8 ,then p(x) = 0
<u>Solution:</u>
According to factor theorem of polynomials,
x-a is a factor of polynomial p(x), if and only p(a)=0
<u>Step 1:</u>
Since x-2 is factor of p(x),
x - 2 = 0
x = 2
<u>Step 2:</u>

By substituting x = 2 in equation 1,

p(x) = 16 - 3(4 ) + 4 -8
p(x) = 16 - 12 - 4
p(x) = 16 - 16
p(x) = 0
Since x - 2 is a factor of p(x) , we get p(x)=0