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2 years ago

Why is it important to look at more than the first two numbers of a pattern to decide the rule for the pattern?

Mathematics

1 answer:

Alexxandr [17]2 years ago

8 0

Answer:

This is important because, the first few numbers might seem to follow a pattern but subsequent numbers might reveal a change in the rule.

Step-by-step explanation:

When studying patterns it is important to evaluate all the figures holistically instead of drawing conclusions based on just the first few numbers because there might be a change in what we felt was obvious on close observance of all the numbers. For example, observe the pattern;

2,4,6, 10, 14, 18, 20, 22, 24

The first two numbers show the addition of two. If a person decides to add 2 to all the figures, he would be wrong because after the first three figures, he would have to add 4 to the numbers.

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Find the inverse of g(x)=1/x-1+2

IRISSAK [1]

Answer:

Find the inverse of g(x)=1/x-1+2 :

$g^{-1} (x)=\frac{1}{x-1}$

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2 years ago

The ratio of a model building's dimensions to the building's actual dimensions is 1/52. If the height of the model is 15 inches,

g100num [7]

Set this up as a proportion with the model stuff on top and actual building stuff on bottom. $\frac{1}{52} = \frac{15}{x}$ . Cross multiply to get x = 780. The actual building is 780 inches. In feet that is 65.

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3 years ago

A car traveled at an average rate of 51 miles per hour on one highway. It then traveled at an average rate of 71 miles per hour

sergiy2304 [10]

d1 = 51(t)

d2 = 71(8 - t)

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2 years ago

What is the factorization of the polynomial below? x^3 + 8x^2 + 17x + 10

faltersainse [42]

Answer:

This is your answer.

Step-by-step explanation:

Hope is helps!!

8 0

2 years ago

Read 2 more answers

Write an equation that is perpendicular to and 3x+y=3 whose y-intercept 5. Anyone please help me, no link just explain how to do

Liula [17]

Answer:

$y = \frac{1}{3}x + 5$

Step-by-step explanation:

By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other: $m = - \frac{1}{m_{2} }$ , or equivalently, $m_{1} * m_{2} = -1$ .

Given our linear equation 3x + y = 3 (or y = -3x + 3):

We can find the equation of the line (with a y-intercept of 5) that is perpendicular to y = -3x + 3 by determining the negative reciprocal of its slope, -3, which is $\frac{1}{3}$ .

To test whether this is correct, we can take first slope, $m_{1} = -3$ , and multiply it with the negative reciprocal slope $m_{2} = \frac{1}{3}$ :

$m_{1} * m_{2} = -1$

$-3 * \frac{1}{3} = -1$

Therefore, we came up with the correct slope for the other line, which is $\frac{1}{3}$ .

Finally, the y-intercept is given by (0, 5). Therefore, the equation of the line that is perpendicular to 3x + y = 3 is:

$y = \frac{1}{3}x + 5$

7 0

2 years ago