The answer to the first question of the attached document is option 1. We obtain the answer subtracting the term n from the series with the term n-1.For example:
-3 - (- 5) = 2
-1 - (- 3) = 2
1 - (- 1) = 2
So you can see that the common difference is the 2.
The answer to the second question is option 3:
y = | x + 7 |
We can confirm it by substituting values in the equation.
For example:
if we do y = 0 then x = -7
if we do x = 0 then y = 7.
As corresponds in the graph shown.
Remember also that as a general rule yes to the equationy = | x | whose vertex is in the point (0,0) we add a positive real number "a" of form y = | x + a | then the graph of y = | x | will move "to" units in the negative direction of x.
The answer to the third question is option 4.
The quotient of x and "and" is constant.
k = y / x
Rewriting:
y = kx
You can see that it corresponds to the equation of a line that passes through the origin, this means that and is proportional to x and both vary directly
15/7 or 2 1/7 (same number but the first one is an improper fraction and the other is a mixed fraction)
Answer:
a = -1 , b = 4 , c = 3 , d = 1
Step-by-step explanation:
The general rules of exponent:
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Given:
The right hand side = (-xy)³ (xz) = (-1)³ x³ y³ x z = (-1) x⁴ y³ z
Comparing the right hand side with the left hand side
∴ a = -1
∴ b = 4
∴ c = 3
∴ d = 1
14n + 21
Just distribute the 7 to the 2n and the 3.
7(2n + 3)
(7 * 2n) + (7 * 3)
14n + 21
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