Answer:
The function y = sec(x) shifted 3 units left and 7 units down .
Step-by-step explanation:
Given the function: y = sec(x)
- If k is any positive real number, then the graph of f(x) - k is the graph of y = f(x) shifted downward k units.
- If p is a positive real number, then the graph of f(x+p) is the graph of y=f(x) shifted to the left p units.
The function 
comes from the base function y= sec(x).
Since 3 is added added on the inside, this is a horizontal shift Left 3 unit, and since 7 is subtracted on the outside, this is a vertical shift down 7 units.
Therefore, the transformation on the given function is shifted 3 units left and 7 units down
Answer:
864 m²
Step-by-step explanation:
- First calculate the total area of the rectangular field
The area of a rectangle is given by the product of the length and the width
let A be the total area
A = 100*120
A = 12000 m²
Calculate the area of the small rectangles
- Let A' be the total area of the four small rectangles and A" the area of one small rectangle
- A' = 4 A"
- A' = 4 [(
)*(
)] - A' = 4*58*48
- A' = 11136 m²
- Substract the A' from A to get the area of the road
Let A"' be the area of the road
A"' =A-A'
A"' = 12000-11136
A"' = 864 m²
Answer:
2x-6=-16 and 3x- 10=8
Step-by-step explanation:
2x=-16+6 and 3x=8+10
2x=-10 and 3x=18
2x/2=10/2 and 3x/3=18/3
x=5 and X=6
Let us say ,
x=number of students who passed
y=number of students who failed
total number of students =276
x+y=276..................(1)
We are given 5 times the number of students passed as failed.
x=5y.............(2)
plugging value of x from (2) in (1),
5y+y=276
6y=276
y=46
x=5y=46*5=230
x=number of students who passed=230
Answer: SuLee jumped 2.50 more feet farther than Nate.
Step-by-step explanation: 12.75 - 10.25 = 2.50
