Answer:
c
Step-by-step explanation:
First off, we know that (g ° f)(2) is just both functions done in a ordered fashion. In this case, f(x) is done first.
To figure out what f(2) is, all we have to do is find where x = 2 is on the graph. In this case it is on point (2, 3). The input is the x and the output is the y, so f(2) = 3.
Then, we can figure out what g(3) by locating x = 3 on line g. It shows the point (3, 0). This means that g(3) = 0.
Answer:
x=3 and x=-1.25
Step-by-step explanation:
4x^2-7x=15
subtract 15 from each side:
4x^2-7x-15=0
factor (trying different numbers that the sum is 7 and the quotient is 15)
(2x-6 )(2x+2.5 )=0
2x-6=0 add 6 to each side
2x=6
x=3
2x+2.5=0 subtract 2.5 from each side
2x=-2.5
x=-1.25
Answer:
The confidence interval is 
Step-by-step explanation:
From the question we are told that
The sample mean is 
The standard deviation is 
The sample size is 
given that the confidence level is 85% then the level of significance is mathematically represented as

Next we obtain the critical value of
from the normal distribution table the value is

Generally the margin of error is mathematically represented as

=> 
=> 
The 85% confidence interval is mathematically represented as

=> 
=> 
Answer:
using the pythagoras theorem the answer is a=3
Step-by-step explanation:
basically in a right angled triangle a² + b² equals c². in this equation c is the number on the hypotenuse (the line opposite the right angle)
and 4 could be a or b it doesnt make a difference so I'll call it b.
because we have c² and b² we work backwards like this:


because 9 is a², we must find the square root to find <em>a</em>

so a equals 3
Answer:
the answers are d and b
Step-by-step explanation:
d. 19x - 18 = -19x + 18
38x - 18 = 18
38x = 36
x= 36/38= 18/19
b. 19x + 18= -19x + 18
38x + 18 = 18
38x = 0
x =0