Answer:
Original function;
y = logbX
Transformation;
y = -5/3logb(x + 2) - 6
Step-by-step explanation:
General form of a logarithmic function is given below;
y = logb X (log to base b)
Reflection over the y-axis
y value remains same, x becomes negative
y = - logb X
Vertical stretch by a factor of 5/3
This means that we multiply the whole function by 5/3
That will be;
y = -5/3logbX
Transformation right 2 units
This means that we add the value of 2 to the x-axis value
y = -5/3logb(x + 2)
transformation down 6 units
This means that we subtract 6 from the total y value
y = -5/3logb(x + 2) - 6
Answer:
B. 2
Step-by-step explanation:
1) all the perpendicular lines are: y=x+C, where C - number;
2) in order to calculate C: to substitute (2;4) into the equation y=x+C:
4=2+C; ⇒ C=2;
3) finally, the required equation is: y=x+2.
The answer is B. 2.
The solution to the equation is y = 5.5 + x , for any real number x greater than or equal to zero and y any real number greater than or equal to 5.5.
Analysis:
since number of items cannot be negative x and y are real number numbers since y or x can be a decimal so we do not use integers alone.
so y = 5.5 + x , for any real number x greater than or equal to zero and y any real number greater than or equal to 5.5.
Learn more about integers : brainly.com/question/17695139
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Answer:
242 integers
Step-by-step explanation:
We have to find the number of integers between 17 and 2678 which are the multiple of 11.
Divide 17 by 11 = 
Smallest multiple of 11 which is greater than 11 = 2nd multiple = 22
Divide the largest number 2678 by 11 = 
Largest multiple of 11 which is less than 2678 = 443rd multiple
= 243 × 11
= 2673
Therefore, number of integers between 17 and 2678 multiple of 11
= 243 - 2 + 1
= 242 integers
Answer:
Step-by-step explanation:
Use " ^ " to indicate exponentiation: y^2 + 7y - 12. Yes, this "the sum of y squared and seven times y minus 12."
"the difference of the quantity of 8 times the square of x and 5" would be expressed symbolically as 8x^2 - 5.
