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4 years ago

8

Which equation represents the relationship shown in the graph?

2 answers:

Marina CMI [18]4 years ago

8 0

Answer:

B. y=2x

Step-by-step explanation:

wlad13 [49]4 years ago

7 0

Consider the slope-intercept form y =mx + b, where m is the slope and be is the y-intercept.
What is the slope (m) of the graph? The points move up 4 and over 2, so the slope equals 4 ÷ 2 = 2. Option B is the only graph with a slope of 2, so we already know that the answer is B) y=2x.

To confirm, check the y-intercept. You can see that the graph will pass through the point (0,0), which means b=0.

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gregori [183]

Answer:

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Step-by-step explanation:

15625 × (-2) + (-15625) × 98 = -31250 + (-1531250)

= -31250 - 1531250

= -1562500

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Using mathematical induction prove whether or not the following statement is true for all positive integers n, or show why it is

aniked [119]

Base case: For $n=1$ , the left side is 2 and the right is $2\cdot1^2=2$ , so the base case holds.

Induction hypothesis: Assume the statement is true for $n=k$ , that is

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We want to show that this implies truth for $n=k+1$ , that

$2+6+10+\cdots+4k-2+4(k+1)-2=2(k+1)^2$

The first $k$ terms on the left reduce according to the assumption above, and we can simplify the $k+1$ -th term a bit:

$\underbrace{2+6+10+\cdots+4k-2}_{2k^2}+4k+2$

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4 years ago