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2 years ago

Does the graph below represent a proportional relationship?

Mathematics

2 answers:

aleksklad [387]2 years ago

6 0

The answer is A.
The reason being straight lines mean equal proportions, while curved lines are exponential or quadratic.

dem82 [27]2 years ago

5 0

Answer: D. No, because the line doesn't pass through the origin, point (0,0)

Explanation:

A direct proportional graph is always a straight line through the origin.

Algebraically, the form of any direct proportion equation is y = kx, where k is some constant. It plays the role as the slope.

We can rewrite y = kx as y = kx+0 to see that the y intercept is always 0 for these types of equations.

Unfortunately, this line shown has a y intercept of 2 instead of 0. So it's <u>not</u> a direct proportion.

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Which equation has no solution? A 2(x+1)=1 B 2(x+1)=2x+2 C 2(x+1)=2x+1 D 2(x+1)=2

Veseljchak [2.6K]

Answer:

C) 2(x+1)=2x+1 ( No Solution )

Step-by-step explanation:

$2(x+1)=1\\\cfrac{2\left(x+1\right)}{2}=\frac{1}{2}\\x+1=\cfrac{1}{2}\\ x+1-1=\frac{1}{2}-1\\\boxed{x=-\frac{1}{2}}$

$2(x+1)=2x+2\\2x+2=2x+2\\2x+2-2=2x+2-2\\2x=2x\\2x-2x=2x-2x\\0=0$

$2(x+1)=2x+1 \\2x+2=2x+1\\2x+2-2=2x+1-2\\2x=2x-1\\2x-2x=2x-1-2x\\0=-1\\\boxed{No\:Solution}$

$2(x+1)=2\\\cfrac{2\left(x+1\right)}{2}=\cfrac{2}{2}\\x+1=1\\x+1-1=1-1\\x=0$

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2 years ago

The Martins’ van can hold up to 8 passengers. Debbie writes the inequality p < 8, where p is the number of passengers that ca

Salsk061 [2.6K]

Answer:

Debbie should have included 8 as a possible choice. The correct inequality is p < 9.

Step-by-step explanation:

Given

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Required

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The inequality $p < 8$ means that the van can hold less than 8 passengers.

To make correction, the digit 8 has to be included in the inequality.

This can be written as:

$p$ or $p \le 8$

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