Answer:
2n +10= 140
4n- 40= 80
2n= 3n - 20
Step-by-step explanation:
it is the am progression or sum progression
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
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Use photmath app it will help you out:)
(1,4)
(4,1)
(2,3)
(3,2)
so there are 4 different combinations that equal 5
6 x 6 = 36 total possible outcomes of the dice
so they have a 4/36 reduces to 1/9 probability of equaling 5
Answer:
Ratio of the perimeters =3:1
Step-by-step explanation:
We have given that : Ratio of the sides of two squares is 3:1
To find : Ratio of their perimeters
Solution : Let the length of the sides are 3:1 = 3x : x
Formula of perimeter of square = 4(side)
Using the formula ,
Perimeter of 1 square = 4×3x= 12x
Perimeter of 2 square = 4×x= 4x
Ratio of the perimeter of 1 square and 2 square = 12x : 4x
= 3 : 1
