Answer:
x - 3
Step-by-step explanation:
Given

Note that x² - 9 is a difference of squares and factors as
x² - 9 = (x + 3)(x - 3), thus
Cancel the x+ 3 factor on the numerator/ denominator leaving
x - 3 ← in simplified form


Let
be the unknown number.
As per the question, we have

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➺
➺
➺
➺
Therefore,
should be subtracted from the product of
and
to get
.


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Answer:
7/8
Step-by-step explanation:
The coefficient of x is the slope, so 7/8.
Answer:
see explanation
Step-by-step explanation:
To find the x- intercepts set y = 0, that is
- 2x² - 9x + 5 = 0
To factorise the quadratic consider the factors of the product of the coefficient of the x² term and the constant term that sum to give the coefficient of the x- term.
product = - 2 × 5 = - 10 and sum = - 9
The factors are - 10 and + 1
Use these factors to split the middle term
- 2x² - 10x + x + 5 = 0 ( factor the first/second and third/fourth terms )
- 2x(x + 5) + 1(x + 5) ( factor out (x + 5) )
(x + 5)(- 2x + 1) = 0
equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
- 2x + 1 = 0 ⇒ x = 
x-intercepts are x = - 5 and x = 