Answer:
D. The graph of function 
is the graph of function 
shifted 4 units to the left.
Step-by-step explanation:
the function is composite function between and 
, then you can re-write as:
The transformation happened in the input, then you have an horizontal shifted and how it's adding 4 units then you go "faster" and move to left the graph.
In the image you can see what's mean sum a constant in the 
of a function.
Answer: the answer would be B
Step-by-step explanation:
I just had this question on my test and got it right :)
So the numbers on the credit card can start with any single-digit number
So it could start with;
0
1
2
3
4
5
6
7
8
Or 9
We are looking for the odds of it starting with a 7
There is only one 7, so the numerator is 1
There are then nine other possible numbers it could be, and counting the number 7, there is a total of ten different possibilities, so 10 is the denominator
So the odds of the card starting with a 7 is
1/10
Answer:
A. She wrote 19 numbers
B. She wrote 12 numbers
C. She wrote 29 digits
Step-by-step explanation:
To find haw many numbers from x to y subtract x and y and then add 1
- Ex: There are 6 numbers from 1 to 6 because (6 - 1) + 1 = 6 (1, 2, 3, 4, 5, 6)
To find how many numbers between x and y subtract x and y then subtract 1
- Ex: There are 4 numbers between 1 and 6 because (6 - 1) - 1 = 4 (2, 3, 4, 5)
The numbers from 1 to 9 have one digit and from 10 to 99 have two digits
A.
∵ Mary wrote all the integers from 1 to 19
∵ (19 - 1) + 1 = 19
∴ She wrote 19 numbers
B.
∵ Rena wrote all the integers from 1 to 12
∵ (12 - 1) + 1 = 12
∴ She wrote 12 numbers
C.
∵ Mary wrote all the integers from 1 to 19
∵ From 1 to 9 the numbers have one digit
∵ There are 9 numbers from 1 to 9 because (9 - 1) + 1 = 9
∴ The number of digits from 1 to 9 = 9 × 1 = 9 digits
∵ There are 10 numbers from 10 to 19 because (19 - 10) + 1 = 10
∵ From 10 to 19 each number has 2 digits
∴ The number of digits from 10 to 19 = 10 × 2 = 20 digits
∴ The number of digits from 1 to 19 = 9 + 20 = 29 digits
∴ She wrote 29 digits
Answer:
Step-by-step explanation:
Given,
Vertex (h, k ) = (1,0)
Now,
We know,
f(x) = a(x-h)²+k
Since, it passess through (2, −17)
Put x = 2 and y = - 17
or, -17 = a(2 - 1)² + 0
or, -17 = a
Now,
f(x) = a(x - h)² + k
= -17(x - 1)² + 0
= -17x² + 34x - 17
