Answer:
x = 10
TU = 24
Step-by-step explanation:
To find the value of x, we use the trapezoid mid-segment theorem
The sum of the lengths of the two parallel sides is equal to twice the length of the mid segment
Mathematically, we have this as;
2(2x+ 4) = 2x-4 + 3x + 2
4x + 8 = 5x - 2
5x -4x = 8 + 2
x = 10
TU = 2x + 4 ; = 2(10) + 4 = 20 + 4 = 24
9 - (1/2)^4 x48
9 - 1/16 x 48
9 - 3 = 6
Answer:
8 is the only one that will work
Step-by-step explanation:
(f o g)(x)=f(g(x)).
So this means the x will first be plug into g.
So let's check your choices.
g(6)=1/(6-6)=1/0 so 6 is not in the domain of g which means it isn't in the domain of (f o g).
g(8)=1/(8-6)=1/2 so this is a number so 8 is in the domain of g,
Let's check if 1/2 is in the domain of f.
f(1/2)=sqrt(6*1/2)=sqrt(3) so this is a number so since 1/2 is in the domain of f then 8 is in the domain of (f o g).
g(4)=1/(4-6)=1/(-2)=-1/2 so 4 is in the domain of g,
f(-1/2)=sqrt(6*-1/2)=sqrt(-3) so this is a problem because you can't square root negative numbers so -1/2 isn't in the domain of f, and therefore 4 isn't in the domain of (f o g).
g(2)=1/(2-6)=1/-4=-1/4 so 2 is in the domain of g.
f(-1/4)=sqrt(6*-1/4)=sqrt(-3/2) so again this is a problem because we can't square root negative numbers so -1/4 isn't in the domain of f, and therefore 2 isn't in the domain of (f o g).
The two graphs in the second picture are the graphs of exponential functions. You can detect it from the L shaped graphs.
The very first graph represents a linear function. A straight line always represents a linear function. In a Linear function, the change in the values of y is constant throughout in relative to change in x values.
The final graph represents a quadratic function rising on both ends.
Therefore, option b and c are the correct answers
Answer:
can you send a pic of the question plz
Step-by-step explanation:
