Answer: 4.5
<u>Step-by-step explanation:</u>
First, find the points of intersection by solving the system.
y = x² + 2x + 4
y = x + 6
Solve by substitution:
x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1
Now, integrate from x = -2 to x = 1
<em>the bottom of the integral is -2 </em>
=
=
= 
= 
= 
= 
= -3 + 1.5 + 6
= 4.5
The answer is 5 and i am writing this other stuff because it said my answer was short
Answer:
3/7 and 4/17
Step-by-step explanation:
a) given that Shen is playing a game and the probability of unlocking the treasure test is 3/10.
To find the odds in favour of his character unlocking the treasure chest.
Since probability = 3/10 we have favourable and total are in the ratio 3:10
i.e. favourable:Favourable+unfavourable= 3:3+7
Hene odds= favourable:unfavourable =3/7
Answer is 3/7
b) Given that odds against choosing a blue block are 13/4
This means there are 4 blue blocks and 13 other colour blocks.
Total blocks= 13+4 =17
No of blue blocks = 4
Probability of selecting blue block=4/17
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Answer:
Step-by-step explanation:
Hello ;
y= -6