Answer:
A, B, and D
Step-by-step explanation:
Only the functions that have x by itself between the absolute value signs (A, B, and D) are symmetric with respect to the y-axis .
Placing a constant outside the absolute value signs moves the function up or down the y-axis but retains the symmetry.
Adding a constant inside the absolute value signs (as in C and E) moves the axis of symmetry to the left or right of the y-axis.
In the diagram, both A and B are symmetric with respect to the y-axis, but C has been shifted three units to the left.
Answer:
43
Step-by-step explanation:
To make 5.6e12 standard you simply move the decimal place right 12 times
5,600,000,000,000
5 Trillion 600 billion
Answer:
a. 8 gallons
b. (11-0.75t) gallons
Step-by-step explanation:
a. Here in this question, we are told that the total amount of fuel in the fuel tank is 11 gallons and the car consumes 0.75 gallon per hour. We are interested in knowing the amount of fuel left in the tank after driving for four hours.
We proceed as follows;
Since 0.75 gallon is consumed in an hour, the amount of fuel consumed in 4 hours would be the amount consumed in an hour * 4 hours
Mathematically, that would be 0.75 * 4 = 3 gallon
Now, the amount of fuel left is simply the difference between the initial amount of fuel in the tank minus the amount of fuel present after 4 hours.
That would be; 11 - 3 = 8 gallons
b. Like above, we want to know the amount of fuel left after t hours.
Since 0.75 is used up per hour, the amount used up in t hours would be 0.75 * t = 0.75t
Now, the amount of fuel that would be left in the tank would be the difference between what we had initially and what was used up.
Mathematically, that would be 11- 0.75t
Answer:
The sequence -12 , -18 , -27 , ............ is generated using the formula ⇒ 1st sequence
Step-by-step explanation:
The recursive formula of the sequence is f(n + 1) = 1.5 f(n)
That means there is a constant ratio 1.5 between each two consecutive terms
In sequence -12 , -18 , -27 , ............
The first term is -12
The formula is f(n + 1) = 1.5 f(n)
Use the first term where n = 1 to find the 2nd term
∵ f(1) = -12
- Substitute n by 1 in the given formula
∵ f(1 + 1) = 1.5 f(1)
∴ f(2) = 1.5(-12)
∴ f(2) = -18
Use the second term where n = 2 to find the 3rd term
∵ f(2) = -18
- Substitute n by 2 in the given formula
∵ f(2 + 1) = 1.5 f(2)
∴ f(3) = 1.5(-18)
∴ f(3) = -27
∴ The sequence -12 , -18 , -27 , ............ is generated using the formula
