By the remainder theorem of polynomial division, the complete equation is f(-3) = 11
<h3>How to complete the blanks?</h3>
The equation is given as:
f(x)/x + 3
Set the divisor to 0
x + 3 = 0
Solve for x
x = -3
Given that the quotient has a remainder of 11.
It means that:
f(-3) = 11
Hence, the complete equation is f(-3) = 11
Read more about remainder theorem at:
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Answer:
Option B. Pentagonal prism
Step-by-step explanation:
Option (A). Cube
Base of a cube is a square.
Option (B). Pentagonal prism
A prism is always defined by its base.
Example: triangular prism, rectangular prism
Therefore, pentagonal prism will have a base in the shape of a pentagon.
Option (C). Triangular prism
Triangular prism will have a triangular base.
Option (D). Rectangular prism
Rectangular prism will have a rectangular base.
The probability that the randomly selected student chose running is; 12/57
<h3>Solving Probability Questions</h3>
Total number of students = 57
Total number of boys = 24
Total number of girls = 33
Number of Girls that chose football = 17
Number of boys that chose football = 14
Number of students that chose Tennis = 14
Now, number of students that chose running will be;
Number of students that chose running = 57 - (31 + 14) = 12
Thus, probability that a randomly selected student chose running = 12/57
Read more about probability selection at; brainly.com/question/251701
Answer:
hi
Step-by-step explanation: