Answer:
JL = 68
Step-by-step explanation:
JM = ML
Hence, 3x + 4 = 5x - 16
Subtract 3x from both sides
4 = 2x - 16
Add 16 to both sides
20 = 2x
Divide both sides by 2
10 = x
Now we want to find JL
Note that JL = JM + ML
JM = 3x + 4 and x = 10
Substitute 10 for x
3(10) + 4
Multiply
30 + 4
Add
JM = 34
Because JM = ML
We simply multiply 34 times 2 to find the length of JL
34 * 2 = 68
JL = 68
Answer:
Step-by-step explanation:
I'm sure you want your functions to appear as perfectly formed as possible so that others can help you. f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation: f(x) = 4(2)^x
f(b) - f(a)
The formula for "average rate of change" is a.r.c. = --------------
b - a
change in function value
This is equivalent to ---------------------------------------
change in x value
For Section A: x changes from 1 to 2 and the function changes from 4(2)^1 to 4(2)^2: 8 to 16. Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2. Thus, in this Section, the a.r.c. is:
8
------ = 8 units (Section A)
1
Section B: x changes from 3 to 4, a net change of 1 unit: f(x) changes from
4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units. Thus, the a.r.c. is
224 units
----------------- = 224 units (Section B)
1 unit
The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.
This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").
Answer:
i believe the answer is 39/20 which could also be 13/7
Step-by-step explanation:
8x - y = 54
8x + 2y = 60
subtracting, we get -3y = -6
y = 2
x = 7
Answer is (c) (7,2)
