The equation
(y + 5) + y = 6
shows the substitution method being used to solve the system of linear equations. So the correct option among all the options given in the question is option "D".
For a better explanation, let us first write down the two equations given in the question.
x + 5 = 6
and
x = y + 5
Now the thing that has been done is that the value of x in the first equation has been replaced by the value of x that is given in the second equation. this is actually the substitution method of solving equations.
Step-by-step explanation:
It is given that,
A 2-liter bottle of juice costs $2.80.
It means that 1 liter bottle of juice costs $1.4.
A box containing six 12-liter bottles sells for $3.90.
(6×12)l i.e. 72 liter bottles sells for $3.9
1 liter bottles sells for $0.05416
It is clear that "A box containing six 12-liter bottles sells for $3.90." have higher cost per liter. Its cost is $0.05416 per liter. Hence, the correct option is (D).
The expression is equivalent to r^(m-n)
The correct answer is a) $382.50.
He works 3 events and averages 150 pretzels; this is 3(150) = 450 pretzels. Since his cost is $0.85 each, we have
450(0.85) = 382.50
The set X is convex.
In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.
b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.
c)set X is not a closed set as the compliment of the set is not an open set.
d)Set X is not bounded. If a set S contains both upper and lower bounds, it is said to be bounded. A set of real numbers is therefore said to be bounded if it fits inside a defined range. hence set x is not bounded.
To learn more about convex sets:
brainly.com/question/12577430
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