Answer: c) 3
<u>Step-by-step explanation:</u>
Plug in y = -9 and the given x-value to see if it makes a true statement.
a) -4.5 falls in the piecewise function x < -3 --> y = -x
y = -x
-9 = -(-4.5)
-9 = 4.5 FALSE
b) -3 falls in the piecewise function -3 ≤ x ≤ -2 --> y = 2x
y = 2x
-9 = 2(-3)
-9 = -6 FALSE
c) 3 falls in the piecewise function x > -2 --> y = -x²
y = -x²
-9 = -(-3)²
-9 = -9 TRUE
d) 9 falls in the piecewise function x > -2 --> y = -x²
y = -x²
-9 = -(9)²
-9 = -81 FALSE
4 because 14abc would equal 108 the factors of 108 are 1,2,3,4,6,9,12,18,27,36,54,108 the factors of 28 are 1,2,4,7,14,28 so it's 4
The zeroes of the function will be equal to ( 7, -6 ).
<h3>
What is a quadratic equation?</h3>
It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given function:-
As we can see that the quadratic equation in the factorized form is ( x - 7 ) ( x+ 6 ) so we will equate each factor to zero.
( x- 7 ) = 0
x = 7
( x+ 6 ) = 0
x = -6
Therefore zeroes of the function will be equal to ( 7, -6 ).
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The students spend 1274 hours in school.
<h3>How to determine the number</h3>
From the information given, we have that:
- There are 182 school days
- Each school days take 7 hours
We can then say that, if takes 7 hours for each school day and there are 182 days, then the hours students spent in school is;
= 182 days × 7 hours
Multiply through
= 1274 hours
The students are in school for 1274 hours.
Hence, the students spend 1274 hours in school.
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Answer:
500.
Step-by-step explanation:
The last digit must end with 0, 2, 4, 6, 8 for the Pin code to be even.
The middle 2 digits may be any numbers.
So if the last number is 0 Then there are 10*10 = 100 possible PIN codes.
So as there are 5 possible last digits , the total possible sets of digits
= 5 * 100
= 500.