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
Step-by-step explanation:
x³ + 4x² + 5x + 20
x² (x + 4) + 5 (x + 4)
(x² + 5) (x + 4)
Answer:
The line would be y = 2x + 5
Step-by-step explanation:
To find a parallel line, we first need to note that the slope of the original line is 2. This means the slope of our new line will also be 2 because parallel lines have the same slope.
So we use the slope we found along with the point given in point-slope form. Then we solve for y.
y - y1 = m(x - x1)
y - 11 = 2(x - 3)
y - 11 = 2x - 6
y = 2x + 5
Answer
She used 6/15 litres of oil in January
Explanation
We are given that, in January, she used 3/5 of the amount of oil she used in February.
We are also given that, she used 2/3 litres of oil in February.
Therefore, amount of oil used in January is:
3/5 • 2/3 = 6/15
She used 6/15 litres of oil in January
Answer:
Mean Is 3 , Median Is 3
Step-by-step explanation:
The mean is the usual average, so I'll add and then divide:
0 + 1 + 2 + 3 + 4 + 5 + 6 = 21 divide by 7 you'll get 3
The median is the middle value, so first you'll have to rewrite the list in numerical order: There are seven numbers in the list, so the middle one will be the answer which is 3
0 , 1 , 2 , 3 , 4 , 5 , 6
