Answer:
A. 
Step-by-step explanation:
The options are:
For this exercise it is important to remember that, by definition, the Exponential parent functions have the form shown below:
Where "a" is the base.
There are several transformations for a function f(x), some of those transformations are shown below:
1. If 
and 
, then the function is stretched vertically by a factor of "b".
2. If and 
, then the function is compressed vertically by a factor of "b"
Therefore, based on the information given above, you can identify that the function that represents a vertical stretch of an Exponential function, is the one given in the Option A. This is:
Where the factor is:
And 
Answer:
Step-by-step explanation:
The quadratic formula is:
The discriminant of a quadratic is just the expression under the square root, or 
. This can tell us the number of solutions a quadratic has.
If the discriminant is:
- Positive = 2 real solutions
- Equal to Zero = 1 real double/repeated solution
- Negative = 0 real solutions, but 2 imaginary solutions
Our quadratic equation has a discriminant of 5, which is positive. Therefore, it has 2 real solutions.
X = 5 -
-7x - 3x + 2 = -8x - 8
+ 7x +7x
-3x + 2 = -x - 8
+3x +3x
2 = 2x -8
+8 +8
10 = 2x
/2 /2
x = 5
Answer: 4 games
Step-by-step explanation:
Whether Denise bowls or not, he incurs rent for bowling shoes and per bowling he has to pay $4.75 while he rented shoes for $3.
Then the equation is:
y = 3 + 4.75x
Where
y is the total cost
x is Number of bowling
y = 3 + 4.75x
3 + 4.75x = 22
4.75x = 22 - 3
4.75x = 19
x = 19/4.75
x = 4
Denise bowled 4 games.
