9514 1404 393
Answer:
15. f(x) +g(x) = 7x +2
16. f(x) -g(x) = -3x +8
17. h(x) · g(x) = 35x -21
Step-by-step explanation:
Substitute the function definition for each function expression and simplify.
__
15. f(x) + g(x) = (2x +5) +(5x -3)
f(x) +g(x) = 7x +2
__
16. f(x) - g(x) = (2x +5) -(5x -3)
f(x) -g(x) = -3x +8
__
17. h(x) · g(x) = (7) · (5x -3)
h(x) · g(x) = 35x -21
Answer: OPTION B.
Step-by-step explanation:
You need to analize the information given in order to solve this exercise.
According to the explained in the exercise, the graph shows Eli's distance (in miles) away from his house as a function of time (in minutes).
Then, based on that you can determine that he started his trip from the point 
(Notice that the time and the distance are zero)
Observe in the graph that he arrived to the library (which is 4 miles away from his house) after 30 minutes.
Then, he stayed at the library. You know this because it is represented with an horizontal line.
Now you can identify in the graph that, from the point 
,in which the time in minutes is 
, Eli began his trip from the library to his house.
Therefore, based on the above, you can determine that, when the time is equal to 120 minutes, Eli rode his bicycle home from the library.
Answer:
13.5
Step-by-step explanation:
2/3=9/x
2x=9*3
2x=27
x=27÷2
x=13.5
Answer:
See below in bold.
Step-by-step explanation:
1. 0.00000402
= 4.02 * 10^-6 (Counting the digits after the decimal point until we get to the 4 gives us the -6).
2. 1,900,000
= 1.9 * 10^6 ( counting the number of digits after the 1 gives us 6).
Answer:
4(a + 6)
3(x - 4)
Step-by-step explanation:
Factoring is just rewriting an expression into the parts that multiply together to make the original...like if I had a 100 but decided instead to write 4×25 or if I had 25x I wrote 5(5x) .
If you look at your
4a + 24
You're looking for whatever is the same in both pieces (the 4a and also the 24) So there is a 4 in 4a and there is also a 4 "in" 24 (as in 4×6 is 24)
So if you pull out that 4 and throw it up front, whatever is left behind goes into a pair of parentheses.
4 (____ + ____)
4(a + 6)
This is your factored form bc if you multiply that 4 back in you'll get the original expression back again.
4a + 24
= 4(a + 6)
It's like factoring is "un-distributive" property.
Theres a 3 in 3x and also in 12
3x - 12
= 3(x - 4)
