Sorry but im terrible at math
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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6:7....added = 13
6/13(91) = 564/13 = 42
7/13(91) = 637/13 = 49
ur 2 numbers are : 42 and 49
<h2>
Explanation:</h2>
We know that the slope of a line is given by:
<h2>Learn more:</h2>
Proportional relationships lines, rates of change, and slope:
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Answer:
Step-by-step explanation:
In No.1
First you find the total number of girls which is 56-20 =36 girls in total
So to get number of boys who watched tennis 20-13=7 boys watched tennis
To get number of girls who didnt watch you do 36-17=19 girls who watched
Then add o get the totals
No.2
First you get the total number of male 80-47=33 males
Next you find the number of females doing phyisics 33-19=14 females
Next you find the number of females doing chemistry by 47-(18 + 14)=15 females
To get the number of males diong chemistry 21-15=6 males
Number of males doing biology 33-(19+6)=8
Then find the remaining totals
2
No. 2 (b)
Because there is a high number of students doing physics and most of them are female
