Answer:
Option B is correct
Step-by-step explanation:
We need to find g(h(f(x))
We first find h(f(x))
f(x) = x-3/x
Putting value of f(x) in place of x in h(x)
h(x) = 2x+1
h(f(x)) = 2(x-3/x) + 1
= 2(x-3/x) + 1
= 2x -6 /x +1
= 2x-6 +x/x
= 3x-6/x
Now, putting value of h(f(x)) in g(x)
g(x) = x+3
g(h(f(x)))= (3x-6/x) + 3
= 3x-6/x + 3
= 3x-6+3x/x
= 6x-6/x
So, Option B is correct.
Answer
<em>TV screens are measured on the diagonal </em>
<em>. In this specific case the TV is shaped like a rectangle , whose diagonal is 40 i n c h e s and its width is 24 i n c h e s : w =
</em>
<em>24 i n d = 40 i n </em>
<em>Then , the sides of the rectangle and its diagonal form a right triangle . </em>
<em>Therefore , we can determine the height ( l ) </em>
<em>if we can apply the Pythagorean theorem: d 2 = l 2 + w 2 </em>
<em>So , solving for l : l = √ d 2 − w 2 </em>
<em>Thus , substituting: l = √ ( 40 ) 2 − ( 24 ) 2 </em>
<em>Simplifying: d = √ 1024 = 32 i n </em>
<em>Therefore </em>
<em>, the height of the TV is: </em>
<em>32 i n
</em>
Answer:The flag of a country contains an isosceles triangle (recall that an isosceles triangle contains two angles with the same measure) if the measure of the third angle of the triangle is 20 degrees more than twice the measure of either of the other two angles and find the measure of each angle of the triangle (Recall that the sum of the measures of the angles of a triangle is 180 degrees)
Step-by-step explanation:
Total numbers of whole number that has a sum of 12.
1. 11 + 1 = 12
2. 10 + 2 = 12
3. 9 + 3 = 12
4. 8 + 4 = 12
5. 7 + 5 = 12
6. 6 + 6 = 12
7. 12 + 0= 12
so there are 7 pairs of whole numbers being added that have a sum of 12
