I hope this helps!!!
1.C
2.A
3.B
4.D
Answer:
b. -x + y = 0
Step-by-step explanation:
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<u>Direct variation</u>:
Direct variation means "y varies directly as x”:

where k is the (non-zero) constant of variation.
To determine which of the given equations represents a direct variation, isolate y for each and compare with the <u>direct variation equation</u>.
<u>Equation a</u>

This is not a direct variation equation as there is an addition of -2.
<u>Equation b</u>


This is a direct variation equation where the constant of variation is 1.
<u>Equation c</u>


This is not a direct variation equation as y is <u>inversely proportional</u> to x.
<u>Equation d</u>

This equation does not include the variable x, and so is therefore not a direct variation equation.
So, making x subject of the formula, x = [m - 2pt³ ±√(m² - 4pt²m)]/{2t⁵}
<h3>How to make x subject of the formula?</h3>
Since p = √(mx/t) - t²x
So, p + t²x = √(mx/t)
Squaring both sides, we have
(p + t²x)² = [√(mx/t)]²
p² + 2pt²x + t⁴x² = mx/t
Multiplying through by t,we have
(p² + 2pt²x + t⁴x²)t = mx/t × t
p²t + 2pt³x + t⁵x² = mx
p²t + 2pt³x + t⁵x² - mx = 0
t⁵x² + 2pt³x - mx + p²t = 0
t⁵x² + (2pt³ - m)x + p²t = 0
Using the quadratic formula, we find x.

where
- a = t⁵,
- b = (2pt³ - m) and
- c = p²t
Substituting the values of the variables into the equation, we have

So, making x subject of the formula, 
Learn more about subject of formula here:
brainly.com/question/25334090
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Answer:
a_n = 11 - 6n
Step-by-step explanation:
you can observe every next element is smaller then the previous one by 6
a_n = 5 - 6*(n-1)
a_n = 5 - 6n + 6
a_n = 11 - 6n