Answer:
C: x = 7
Step-by-step explanation:
The easiest way to do this is to simply try all of the x-vales given as options.
Option 1: x = -1
Since 
, we'll use the first equation.
As we can see, g(-1) is not -4.
Option 2: x = 3
Since 
, we'll use the 2nd equation.
Not -4.
Option 3: x = 7
Since 
, we'll use the 3rd equation.
Tada! We have found a number such that g(x) = -4, it is 7. Since we only need to find a number, not all numbers, we don't have to check the last option. However, if you're curious:
Option 4: x = 4
Since 
(less than <em>or equal to</em>), we'll use the 3rd equation.
Answer:
12/7 hours
Step-by-step explanation:
First find the rate for hour for the two. For Lianne she can do 1/3 of the job per hour. For Julie she can do 1/4 of the job per hour.
Adding them together, 1/3+1/4= 7/12.
This 7/12 means that working together they can finish 7/12 of a job in an hour. We can use the speed*time=distance formula here and see that
7/12 * time = 1 job done
time = 12/7 hours.
Answer:
They purchased 6 dozen eggs
Step-by-step explanation:
The total cost is the cost per dozen times the number of dozen purchased
total cost = 1.98 * n where n is the number of dozen
11.88 = 1.98n
Divide each side by 1.98
11.88/1.98 = 1.98/1.98 * n
6=n
They purchased 6 dozen eggs
Answer:
Option 2 is the correct answer
Step-by-step explanation:
A quadratic function is a function in which the highest power to which the variable is raised is 2
1) f(x) = −8x3 − 16x2 − 4x
The given function is a cubic function because the highest power
to which the variable,x is raised is 3
2) f(x) = 3x²/4 + 2x - 5
The given function is a quadratic function because the highest power
to which the variable,x is raised is 2
3) f(x) = 4/x² - 2/x + 1
It can be rewritten as
f(x) = 4x^-2 - 2x^-1 + 1
The given function is not a quadratic function because the highest power to which the variable,x is raised is - 2
4) f(x) = 0x2 − 9x + 7
It can be rewritten as
f(x) = - 9x + 7
The given function is not a quadratic function because the highest power to which the variable,x is raised is 1
