$\bf \begin{cases}
(f\circ g)(x)=x^2-6x+8\\\\
(f\circ g)(x)=f(~~g(x)~~)\\\\
g(x)=x-3\\
\end{cases}
\\\\\\
\textit{now, one probability is }x^2-1
\\\\\\
f(x)=x^2-1\implies f(~~g(x)~~)=(x-3)^2-1
\\\\\\
f(~~g(x)~~)=(x^2-6x+9)-1\implies f(~~g(x)~~)=x^2-6x+8$

5 0

2 years ago

Horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread is 60 inches with a standard deviation of 4

german

Answer:

range is between 55.5 to 64.5

Step-by-step explanation:

Horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread is 60 inches with a standard deviation of 4.5 inches

68% is 1 standard deviation from mean

To get the range of 1 standard deviation we add and subtract standard deviation from mean

mean = 60

standard deviation = 4.5

60 - 4.5= 55.5

60+4.5 = 64.5

1 standard deviation is between 55.5 to 64.5

That is 68% range is between 55.5 to 64.5

8 0

3 years ago

Given the following constants for a standard form quadratic equation, determine the nature of its roots. Please wait for photo t

lisabon 2012 [21]

$ax^2+bx+c=0$
$3x^2+3x+2=0$
$D=b^2-4ac=3^2-4*3*2=9-24=-15$
$D$ , so there are no real solutions.

3 0

2 years ago

A giant bamboo plant grew an average of 18 centimeters per year.The botanist started measuring the plant when it was 5 centimete

Anastaziya [24]

H=height
y=number of years.

we have the next expresion:
h(y)=my+b

m=the slope of the line, in this case, the slope is equal to "18"; (18 cm/ year).
b=the initial heigth, in this case, the initial heigth is equal to "5" (5 cm).

Therefore, our expression will be:
h(y)=18y +5

answer: h(y)=18y+5

7 0

2 years ago