Answer:
Step-by-step explanation:
Graph of the given piecewise function will show the three straight lines,
f(x) = 2 If 2 < x ≤ 4
x + 3 If 4 < x < 8
2x If x ≥ 8
1). f(x) = 2 will be a straight line parallel to x-axis for 2 < x ≤ 4
2). f(x) = x + 3 is a straight line with input output points in the interval 4 < x < 8
x 4 5 6 7 8
f(x) Not defined 8 9 10 Not defined
3). f(x) = 2x
x 8 9 10 11
f(x) 16 18 20 22
By using these points on a graphing calculator we can graph the piecewise function as attached.
Final answer: 5
Step by step process:
You can make the equation a little simpler by putting in the 3 for x
btw I show exponents with this ^
(3)^2/3 + 2
3^2=3*3=9
Now you have 9/3 + 2 and you keep simplifying
9/3=3
3+2=5
Final answer: 5
Answer:
126
Step-by-step explanation:
The number of numbers divisible by 9 is ...
j = floor(500/9) = 55
The number of numbers divisible by 7 is ...
k = floor(500/7) = 71
Then the total (j+k) is ...
j +k = 55 +71 = 126
The slope:
m = ( y2 - y1 ) / ( x2 - x1 ) = ( 8 2 ) / ( 3 - 2 ) = 6 / 1
m = 6 ( we have the same slope for AB and A`B` )
AB = √[( 3 - 2 )² + ( 8 - 2 )²] = √37
A`B` = 3.5 √37 = 21.29
Answer:
9 raised to the power -10
Step-by-step explanation:
If the exponents are being divided you subtract them
