Answer:
-25
Step-by-step explanation:
g(f(3))= g(-5)
=4(-5)-5
= -20-5
=-25
Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The number of green marbles is 
The number of red marbles is 
The number of red marbles is 
Generally the total number of marbles is mathematically represented as



Generally total number of marbles that are not red is

=> 
=> 
The probability of the first ball not being red is mathematically represented as

=> 
The probability of the second ball not being red is mathematically represented as

=>
(the subtraction is because the marbles where selected without replacement )
=> 
The probability that the first two balls is not red is mathematically represented as

=>
=>
The probability of the third ball being red is mathematically represented as
(the subtraction is because the marbles where selected without replacement )

=> 
Generally the probability of the first two marble not being red and the third marble being red is mathematically represented as


=> 
Answer:
Step-by-step explanation:
so let’s say x is the length. Then the width will be 3x-4. You add them together and multiply by two. The perimeter is 72 so the equation equala 72.
Equation:
(x+3x-4)*2=72
(4x-4)*2=72
8x-8=72
8x=80
x=10
length:10
width:26
Answer: Each shirt costs $1.25, and each hat costs $2.5.
Step-by-step explanation:
Let x= Cost per T-shirt, y = Cost per Hat.
As per given,
3x+3y=11.25 (i)
4x+2y=10 (ii)
Multiply 4 to equation (i)
12x+12y=45 (iii)
12x+6y= 30 (iv)
Eliminate (iv) from (iii), we get
6y= 15
⇒ y = 2.5
Put value of y in (i)
3x+3(2.5)=11.25
⇒3x+7.5=11.25
⇒3x= 3.75
⇒x= 1.25
Hence, each shirt costs $1.25, and each hat costs $2.5.
CPCTC represents<span> is a succinct statement of a theorem regarding </span>congruent trigonometry<span>, defined as triangles either of which is an </span>isometry of the other. <span>CPCTC states that if two or more triangles are congruent, then all of their corresponding angles and sides are congruent as well. CPCTC is useful in proving various theorems about triangles and other polygons.</span>