Answer:
(b)
student can choose none or some
For the given expressions we will have:
y = exp(x - 4) →we have a shift of 4 units to the right.
y = exp (x +9) → we have a shift of 9 units to the left.
y = exp(x) + 7 → we have a shift of 7 units up.
y = exp(x) - 6 → we have a shift of 6 units down.
<h3>
How to work with vertical and horizontal shifts?</h3>
Remember that the shifts work as follows.
For a function f(x), we define a vertical shift of N units as:
g(x) = f(x) + N
- If N > 0, the shift is upwards.
- If N < 0, the shift is downwards.
For a function f(x), we define a horizontal shift of N units as:
g(x) = f(x + N)
- If N > 0, the shift is to the left.
- If N < 0, the shift is to the right.
Then, if we have:
exp(x - 4) we have a shift of 4 units to the right.
exp (x +9) we have a shift of 9 units to the left.
exp(x) + 7 we have a shift of 7 units up.
exp(x) - 6 we have a shift of 6 units down.
Learn more about translations
brainly.com/question/24850937
#SPJ1
Answer:
200
Step-by-step explanation:
Answer:
The answer is C, First you must find the length of the diagonal gravel path and you can use Pythagorean Theorem to do this. 24^2+32^2=c^2 and solve for c which will get you 40 feet. Now, solve for the area of the path by multiplying 40*2 (2 feet wide) which will get you an area of 80 square feet. Multiply 80 by 3.5 and then the answer is $280. Hope this helped you :)
Step-by-step explanation:
Answer:
D. 81
Step-by-step explanation:
Raise
3
to the power of
4
.
81
=
x
Rewrite the equation as
x
=
81
.
x
=
81
