Answer:
40
Step-by-step explanation:
5 people in the room have 5*40 = 200 years altogether
a new person is X years old.
Now 6 people have (200 + x) years altogether.
Mean age of 6 people is (200+x)/6. and it is also = 40.
So,
(200+x)/6 = 40
200 + x = 240
x = 40
2.5 /10 = 10 / x
100 = 2.5x
40 =x
Answer:
(f + g)(x) = 6x³ - 3x² + 7x - 8
Step-by-step explanation:
Another way of writing (f + g)(x) is f(x) + g(x). So, this question is asking you to combine both of the functions.
f(x) + g(x)
(4x² + 7x - 3) + (6x³ - 7x² - 5) <----- Insert functions
-3x² + 7x - 3 + 6x³ - 5 <----- Combine 4x² and -7x²
-3x² + 7x - 8 + 6x³ <----- Combine -3 and -5
6x³ - 3x² + 7x - 8 <----- Rearrange
Hello!
The distributive property states, a(b + c) = ab + ac. Normally, we would simplify the values inside the parentheses first, and then multiply, but since these two values are not alike terms, we would need to use the distributive property.
-1/6(6y + 7) is also equal to -1/6(6y) + -1/6(7), so with that, we can simplify the expression.
-1/6(6y) + -1/6(7) can be simplified to -y + -7/6.
Therefore, using the distributive property, the answer is -y - 7/6.
2. The mean is the average so it phase shifted up five points where as the range is the difference between the highest and lowest # which wouldn't change if all the numbers were adjusted.