Answer:
Step-by-step explanation:
f(x) = 3x + 1 and g(x) = x^2 - 6
(f + g) (x)
(3x + 1) + (x^2 - 6)
3x + 1 + x^2 - 6
3x - 5 - x^2
=> -x^2 + 3x - 5
I hope this helps!
Answer:
1/7
Step-by-step explanation:
there are 7 number possibilities 0,1,2,3,4,5,6.
so if they each have an equal probability the answer is 1/7
Answer:
a) 45 possible outcomes
b) 55 possible outcomes
Step-by-step explanation:
Given:
- Total cavities = 12
- Selection = 3 parts
- Non-conforming cavities = 2
Find:
a) How many samples contain exactly 1 nonconforming part?
b) How many samples contain at least 1 nonconforming part?
Solution:
- The question asks for the use of combinations to express the outcomes for each scenario.
- For first part, we want the inspector to pick exactly one non-conforming part among 3 selected. So let us say that he has already chosen that one non conforming cavity. Now he has to make 2 more selections out of total conforming cavities = 12 - 2 = 10 conforming cavities. Hence, the total possible outcome is to chose 2 randomly from 10 conforming cavities.
( Exactly 1 ) 10C2 = 45 possible outcomes
- The second part entails that at-least 1 non-conforming cavity is selected. To choose exactly 1 non conforming we calculated above. In the similar way calculate for selecting exactly 2 non-conforming cavities. The total possible outcome would be to choose from 10 conforming and we choose 1 from it:
( Exactly 2 ) 10C1 = 10 possible outcomes
- Hence, for at-least 1 non conforming cavity being selected we same the above two cases calculated:
(At-least 1 ) = ( Exactly 1 ) + ( Exactly 2 )
(At-least 1 ) = 45 + 10 = 55 possible outcomes
5*4*12=240
Hope it helps :D
Answer: each eraser cost 5 dollors
Step-by-step explanation: Simplifying
25 = 5 + 4e
Solving
25 = 5 + 4e
Solving for variable 'e'.
Move all terms containing e to the left, all other terms to the right.
Add '-4e' to each side of the equation.
25 + -4e = 5 + 4e + -4e
Combine like terms: 4e + -4e = 0
25 + -4e = 5 + 0
25 + -4e = 5
Add '-25' to each side of the equation.
25 + -25 + -4e = 5 + -25
Combine like terms: 25 + -25 = 0
0 + -4e = 5 + -25
-4e = 5 + -25
Combine like terms: 5 + -25 = -20
-4e = -20
Divide each side by '-4'.
e = 5
Simplifying
e = 5
