Answer:
The correct option is b.
Step-by-step explanation:
The given function is
We need to find the value of f(-2). It means we have to find the value of given function at x=-2.
Substitute x=-2 in the given function to find the value of f(-2).
On simplification we get
The value of f(-2) is 11. Therefore the correct option is b.
Answer:
Step-by-step explanation:
Formula for volume of a circle: V=πr²
If you multiply the circle by height, it becomes a cylinder.
Formula for volume of a cylinder: V=πr²h
Plug in the numbers and get r by itself:
471 = πr²(6)
Divide both sides by 6:
78.5 = πr²
Divide both sides by π:
25 = r²
Square root both sides:
=
²
5 = r
Radius is 5 cm
We need to find an equation for each situation. Let x be the number of GB of data used.
Statement 1: At Noise Pollution Cellular, plan A is $30.00 per month and $5.00 for every gigabyte of data used.
Plan A cost equation
Statement 2: At Noise Pollution Cellular, Plan B is $50.00 per month and $2.00 for every gigabyte of data used.
Plan B cost equation
Number of GB of data for which both the plan A and plan B cost are <em><u>same</u></em>.
When
When
Answer:
Step-by-step explanation:
To aid in understanding, draw three circles...
100 were registered for both Math and English.
50 were registered for both Sport and English but not Math.
70 were registered for Math, Sport, and English.
From here we will be able to calculate for those that signed up for only English class: Total number of students that signed up for english class
a. none signed up only for Maths (refer to attached document)
b. How many signed up for neither Math nor English meaning they signed up for only sports which is 70 from the venn diagram in the attachment.
c. How many signed up for an English class and at least one other class?
From the venn diagram:
we could have an English class and maths class - 100
we could also have an a English class and sports - 50
Thus total is 150.
d. What is the total fee for all the students enrolled in classes
From the diagram, 120 (english only and sport only) enrolled for only one class = 120 x $100 = $12,000
From the diagram, 180 (english and sport, maths and sport and english and maths) enrolled for two classes = 180 x $150 = $27,000
From the diagram, only 70 enrolled for the three classes = 70 x $200 = $14,000
Total fees = $12,000 + $27,000 + $14,000 = $53,000
