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marysya [2.9K]
3 years ago
13

Find the zeros K(x) = -x²+ 2x + 15 EXPLAIN EVERY STEP!

Mathematics
1 answer:
Mumz [18]3 years ago
5 0
Take out - 1
k(x) = -1(x^2 - 2x - 15) Now factor what's inside the brackets. The numbers you pick must add to - 2 and multiply to -15. 
When you multiply to -15 you should note that one of the numbers is plus and the other is minus.
(x -  )(x +  ) is the way it looks.
They differ by 2 and the "largest" one is minus. That means your answer is -5 and +3
k(x) = - (x - 5)(x + 3)
Now for the zeros.
x - 5 can be a zero
x - 5 = 0
x = 5

x + 3 = 0
x = - 3
 
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3 years ago
In order for the data in the table to represent a linear function with a rate of change of +5, what must be the value of m?
katen-ka-za [31]
<span>The table to represent a linear function with a rate of change of +5
</span>
so, m = 13 + 5 = 18

The correct answer is option 3 ⇒ <span>m = 18
</span>
========================================
another solution :
The table represents a linear function
the general equation of the linear function is ⇒ y = ax+b
where a is the slope and b is constant
By using the first and the third points from table to find the equation of the linear function
at x = 3  ⇒ y = 13   and   at x = 5 ⇒ y = 23
∴ 13 = 3a+b → (1)

23 = 5a+b → (2)
solve (1) and (2) to find a and b
So,  a = 5  and b = -2
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After that by substitution with x = 4 int the equation of y
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∴ m = 18
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