Answer:
The answer is 602/45
Step-by-step explanation:
Since this involves subtracting fraction, we must make sure each denominator is alike, which involves find the LCD (least common denominator).
9, 5, and 1 (the number 14's denominator is 1) all have the LCD 45 in common.
Multiply 9 by 5, which multiplies 2 with 5, giving 10.
Multiply 5 by 9, which multiplies 2 by 9, giving 18.
Multiply 1 by 45, which multiplies 14 by 45, giving 630.
Now, you have an equation that looks like this:
(630/45) - (10/45) - (18/45)
Subtract 10 from 630, which gives 620, then subtract 18 from 620, giving 602.
Final answer: 602/45
Answer:
f(x) = (x + 4)² - 3
Step-by-step explanation:
The equation of a quadratic function in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
f(x) = x² + 8x + 13
To obtain f(x) in vertex form use the method of completing the square
add/ subtract (half the coefficient of the x- term)² to x² + 8x
f(x) = x² + 2(4)x + 16 - 16 + 13
f(x) = (x + 4)² - 3 ← in vertex form
Answer:
(−a+b)(−c+d)
=(−a+b)(−c+d)
=(−a)(−c)+(−a)(d)+(b)(−c)+(b)(d)
=ac−ad−bc+bd
