Solution:
f(x) = 2x + 3
g(x) = x - 9
f(x) + g(x)
= (2x + 3) + (x - 9)
= 2x + x + 3 - 9
= 3x - 6
Answer:
- 16. 3/8
- 17. 1/8
- 18. 5/18
- 19. 0
- 20. 1
Step-by-step explanation:
<u>As per the spinner we have:</u>
- Green = 1/2 - 1/16 = 7/16
- Red = 1/4
- Purple = 1/8
- Orange, blue, yellow = 1/16
<u>16. P(red, yellow, blue) = ?</u>
- P = 1/4 + 1/16 + 1/16 = 3/8
<u>17. P(orange, yellow) = ?</u>
<u>18. P(green, blue, purple) = ?</u>
- P = 7/16 + 1/16 + 1/8 = 10/16 = 5/8
<u>19. P(pink) = ?</u>
<u>20. P(red, orange, yellow, green, blue, purple) = ?</u>
- P = 1 as all possible colors selected
Answer:
[see answer below]
Step-by-step explanation:
We would move the decimal 5 places to the left.
Hope this helps!
9514 1404 393
Answer:
increasing 7/24 ft per week
Step-by-step explanation:
An expression for the length of the base can be written from the Pythagorean theorem relation between the sides of the triangle.
If the height is 7-x, where x is the number of weeks after the height is 7 feet, then the base length is ...
b = √(25^2 -(7-x)^2) = √(625 -(49 -14x +x^2)) = √(-x^2 +14x +576)
Then the rate of change of b with respect to x is ...
b' = (-2x +14)/(2√(-x^2 +14x +576))
When x=0, the rate of change of the base is ...
b' = 14/(2√576) = 7/24
The base is increasing 7/24 ft per week when the height is 7 ft.
