What is the value of x? OOOO 0 x = 32 O x = 36 0 x = 37 x = 40 al 111111
1 answer:
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Answer:
f(0)=11
Step-by-step explanation:
f(x) is a linear function, hence it is of the form f(x)=ax+b for some constants a,b.
When we divide f(x) by x-3 the remainder is 5. Moreover, using the division algorith we have that
hence 5=b+3a.
On the other hand, when we divide f(x) by x-4 the reminder is 3. Also, using the division algorithm, we have that
hence 3=b+4a.
Therefore, to find f(x), we have to solve the linear sistem
If we substract the first and the second equation, we get
and using the last result we get that
Hence, f(x)=-2x+11, and so f(0)=11.
we have
Find the roots
Equate the function to zero
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
Square root both sides
therefore
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