Answer:
Explanation:
7. f(x) = x^4 + 3x^3 - 6x^2 - 10x + 8
f(2) = 2^4 + 2^3 - 6^2 - 10(2) + 8
f(2) = 16 + 8 - 12 - 20 + 8
f(2) = 0
8. x^2 - 9 = (x - 3)(x + 3)
x ^2 + x - 6 = (x + 3)(x -2)
Thus, the common factor is x + 3
Answer:
we have the equation y = (1/2)*x + 4.
now, any equation that passes through the point (4, 6) will intersect this line, so if we have an equation f(x), we must see if:
f(4) = 6.
if f(4) = 6, then f(x) intersects the equation y = (1/2)*x + 4 in the point (4, 6).
If we want to construct f(x), an easy example can be:
f(x) = y = k*x.
such that:
6 = k*4
k = 6/4 = 3/2.
then the function
f(x) = y= (3/2)*x intersects the equation y = (1/2)*x + 4 in the point (4, 6)
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Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
2, 6, 10, 14, 18
An arithmetic sequence has a constant difference and is defined as

compute the differences of all the adjacent terms

The difference between all the adjacent terms is the same.
Thus,

and

Therefore, the nth term is computed by:


Thus, position to term rule of 2, 6, 10, 14, 18 multiply by __4___ and subtract by __2__.
Answer:
Discriminant = 20
Step-by-step explanation:
We use formula to find the discriminant.
Discriminant (D) = b^2 - 4ac
The given equation is x^2 - 6x + 4 = 0.
Here the value of a = 1, b = -6 and c = 4.
Plug in the given values in the formula, we get
Discriminant (D) = (-6)^2 - 4*1*4
= 36 - 16
Discriminant = 20
Thank you.