Answer:
(a) and (a)
Step-by-step explanation:
In both questions the denominator of the rational functions cannot be zero as this would make them undefined. Equating the denominators to zero and solving gives the values that x cannot be.
Given
solve (3 - x)(2 + x) = 0
Equate each factor to zero and solve for x
3 - x = 0 ⇒ x = 3
2 + x = 0 ⇒ x = - 2
x = 3 and x = - 2 are excluded values → (a)
------------------------------------------------------------------------
Given
solve
6x² + 10x - 4 = 0 ← in standard form
(x+ 2)(6x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
6x - 2 = 0 ⇒ 6x = 2 ⇒ x = 
x = and x = - 2 are excluded values → (a)
Answer:
Step-by-step explanation:
If the rectangle show one side of length 5 x +2, and another side of length x - 4, then the area of this rectangle (given by the product of the sides' length) is:
which is already written in standard form.
Answer:
a=3
Step-by-step explanation:
This should be very simple, just substitute xy and y for 5 and 7 respectively, so 5a-2*7=1, or 5a-14=1, or 5a=15, if we divide both sides by 5, we get a=3
Answer:
b. y=2x-2
Step-by-step explanation:
y=mx+b
m= slope
b=y intercept
Answer:
<h2>Increase.</h2>
Step-by-step explanation:
Two-dimensional space is modelled by the coordiante system with 4 quadrants only, and the axis are x and y, the independent and the dependent variables, respectively.
On the other hand, the three-dimensional space has three coordinates, x, y and z. The extra coordinate allows to have a three-dimensional space. Also, this extra coordinate increases the number of quadrants, actually, they are called octants, becayse they are eight.
Therefore, the word missing here is "increase".
