The main thing you want to ask yourself is "What is the difference between the two graphs?"
As we can see, the graphs look identical in every way except that g(x) is lower than f(x).
This means that the graph is shifted down a certain amount.
If we look at the y-intercepts of the two functions, we see that f(x) has a y-intercept of 1, and g(x) has a y-intercept of -1.
This means that f(x) is two units lower than g(x).
The y-intercept of a function can be changed by adding or subtracting a number to the original function (in this case 2^{x}).
Because the graph f(x) is 2 lower than the graph of g(x), we can find g(x) by subtracting 2 from f(x).
Therefore, g(x) = 2^{x} - 2.
-ratio
-interval
-nominal
-ordinal
Answer:
Nominal
Step-by-step explanation:
-Ratio level of measurement means that you can build a fraction.
-interval level of measurement means that the distance that exists between values is important.
-Nominal means that the values are only named and there is no organization.
-Ordinal means that the values can be ordered by rank.
According to this, the answer is that classifying the fruit in a basket as apple, orange, or banana, is an example of the nominal level of measurement.
Answer:
The answer is below
Step-by-step explanation:
The volume of a cuboid is the product of its length, height and breadth. It is given by:
Volume = length × breadth × height
Since the volume is given by the expression 12y² + 8y - 20. That is:
Volume = 12y² + 8y - 20 = 4(3y² + 2y - 5) = 4(3y² + 5y - 3y -5) = 4[y(3y + 5) -1(3y + 5)]
Volume = 4(y-1)(3y+5)
Or
Volume = 12y² + 8y - 20 = 2(6y² +4y - 10) = 2(6y² + 10y - 6y -10) = 2[y(6y + 10) -1(6y + 10)]
Volume = 2(y-1)(6y+10)
Therefore the dimensions of the cuboid are either 4, y-1 and 3y+5 or 2, y-1 and 6y+10
Question:
The square of a number decreased by 3 times the number is 28 find all possible values for the number
Answer:
The possible values of number are 7 and -4
Solution:
Given that the square of a number decreased by 3 times the number is 28
To find: all possible values of number
Let "a" be the unknown number
From given information,
square of a number decreased by 3 times the number = 28
Let us solve the above quadratic equation
Using the above formula,
Thus the possible values of number are 7 and -4
1 cartons of juice = $4.20
3 single cartons = 4.20 * 3 = $12.60
1 pack = $9.45
He saved 12.60 - 9.45 = $3.15
So, he saved $3.15, compared to the total ($12.60)
To calculate the percentage, we will do a proportion:
3.15 (money saved) : 12.60 (total of 3 single cartons) = x (how much percentage) : 100 (total)
3.15 : 12.6 = x : 100
To calculate x, we will moltiplicate the ends (where we have known numbers) than divide all per 12.6
So
x = (3.15 * 100) / 12.60 = 315 / 12.6 = 25
So the percentage saving is 25%
