Answer:
51.
Step-by-step explanation:
f(x) = x^2 + 2x + 3 and g(x) = x + 4.
f(g(x)) = (x + 4)^2 + 2(x + 4) + 3
= x^2 + 4x + 4x + 16 + 2x + 8 + 3
= x^2 + 8x + 16 + 2x + 11
= x^2 + 10x + 27.
x = 2.
f(g(2)) = 2^2 + 10 * 2 + 27
= 4 + 20 + 27
= 31 + 20
= 51.
Hope this helps!
Answer:
2y-x-6=0
Step-by-step explanation:
<h3>
The probability that a randomly selected person likes cookies with chocolate or peanut butter chips is 0.77.</h3>
Step-by-step explanation:
Here, the total sample of people has total 535 people.
The percentage of people liking chocolate chip cookies = 65%
Now, 65% of 535 = 
⇒ 348 people in total like chocolate chip cookies.
⇒ n(C) = 348
The percentage of people liking peanut butter chip cookies = 37%
Now, 37% of 535 = 
⇒ 198 people in total like peanut butter chip cookies.
⇒ n(B) = 198
Percentage of people liking both chocolate &peanut butter chips = 25%
Now, 25% of 535 = 
⇒ 134 people in total like both chocolate &peanut butter chips
⇒ n(C ∩ B ) = 134
Now, n( C U B) = N(C) + n(B) - n(C ∩ B )
= 348 + 198 - 134 = 412
P( person likes cookies with chocolate or peanut butter chips)
= 
Hence, the probability that a randomly selected person likes cookies with chocolate or peanut butter chips is 0.77.
Answer:
(x, y) = (3, 5)
Step-by-step explanation:

Solving by elimination here again, there are 2 good options available. Either multiply the whole bottom equation by -1 to cancel the x, or by 2 to cancel the y. I'll do the latter:

Add from top to bottom:

Now, with the value of x, solve for y in either of the equations. I'll choose the second one here:

(x, y) = (3, 5)
Find the total ° of the shape.
(5-2) x 180°= 540°
x+21°+x = 540°-105°-154°-88°
2x+21° = 193°
2x = 193°-21°
2x = 172°
x = 172° ÷ 2
x = 86°