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Natasha_Volkova [10]
3 years ago
9

Consider the following linear equations. y = 2x + 5 y = 2x - 3 Which statement below if True?

Mathematics
1 answer:
Fantom [35]3 years ago
3 0

Answer:

Option B is correct

Step-by-step explanation:

The equation of a straight line is given as;

y = mx + b

where m is the slope and b is y-intercept

Let’s evaluate the options one after the other;

A. This is wrong as they both have same slope of 2

C. The y-intercepts are not the same

One is 5, the other is -3

D. This is wrong, the line cannot be the same

Option B is correct

The y-intercept of both varies

While 1 is already appreciated, the other is coming back

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ANSWER

m + 23

EXPLANATION

The given expression is

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Albert receives $0.30 per pound for 1 to 49 pounds of glass bottles he recycles. He receives $0.40
Marina86 [1]

Answer:

Yes

Step-by-step explanation:

The amount of money Albert receives is described by the expression

y = \begin{cases}0.30x  & \quad \text{if } 0 \leq x \leq 49 \\0.40x & \quad \text{if } x > 50\\\end{cases}

The graph is shown below.

To determine if the relation is a function,  we can use the vertical line test:  

If a vertical line crosses the graph more than once in any location, the relation is not a function.

We see that at no place will a vertical line intersect the graph more than once.

The relation is a function.

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