Answer: Then the graph of the function f(x) will change shifting vertically down (because the negative sign in 4) by 4 tons.
Option c. The line will shift vertically down by 4 tons.
Solution:
Total weight of a coal car: f(x)=x+30
How will the graph of this function change if the coal car weight is changed to 26 tons?
The total weight of the coal car would be: g(x)=x+26
f(x)=x+30
30=26+4
f(x)=x+26+4
g(x)=x+26
f(x)=g(x)+4
Subtracting 4 both sides of the equation:
f(x)-4=g(x)+4-4
f(x)-4=g(x)
g(x)=f(x)-4
Then the graph of the function f(x) will change shifting vertically down (because the negative sign in 4) by 4 tons.
The answer to your question is 8, because you replace z with 2
1) The height of the cylinder is equal to the diameter of the sphere.
3) The radius of the sphere is half the height of the cylinder.
5) The volume of the sphere is two-thirds the volume of the cylinder.
Hope this helped! :)
Answer:
1 < x < 5
Step-by-step explanation:
Inequalities of the type | x | < a , have solution of the form
- a < x < a
Given
2 | x - 3 | < 4 ( divide both sides by 2 )
| x - 3 | < 2 , then
- 2 < x - 3 < 2 ( add 3 to each interval )
1 < x < 5
Answer: 0.74
Step-by-step explanation:
A= "The person is sick
"
B= "The test gives a positive result"
P(A)=0.03
P(B|A)=0.92
P(B|A')=0.01
P(A')=1-P(A)=1-0.03=0.97
P(B)=P(B|A)P(A)+P(B|A')P(A')=0.92*0.03+0.01*0.97=0.0373
Based in Bayes Rule
P(A|B)=P(B|A)P(A)/P(B)=0.92*0.03/0.0373=0.74
