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Lina20 [59]
3 years ago
15

1. For the function f(x) = x2, Find the slope of the secant line joining (1,f(1)) and

Mathematics
1 answer:
goblinko [34]3 years ago
3 0

The slope of the line connecting two points (<em>a</em>, <em>b</em>) and (<em>c</em>, <em>d</em>) is

(<em>d</em> - <em>b</em>) / (<em>c</em> - <em>a</em>)

i.e. the change in the <em>y</em>-coordinate divided by the change in the <em>x</em>-coordinate. For a function <em>y</em> = <em>f(x)</em>, this slope is the slope of the secant line connecting the two points (<em>a</em>, <em>f(a)</em> ) and (<em>c</em>, <em>f(c)</em> ), and has a value of

(<em>f(c)</em> - <em>f(a)</em> ) / (<em>c</em> - <em>a</em>)

Here, we have

<em>f(x)</em> = <em>x</em> ²

so that

<em>f</em> (1) = 1² = 1

<em>f</em> (1.01) = 1.01² = 1.0201

Then the slope of the secant line is

(1.0201 - 1) / (1.01 - 1) = 0.0201 / 0.01 = 2.01

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Answer:

1/6

Step-by-step explanation:

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Answer:

z = \frac{X -\mu}{\sigma}

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

z= \frac{33.2-34.5}{1.3}= -1

And for the case of Sue we got:

z = \frac{32.7-33.9}{1.2}= -1

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

Step-by-step explanation:

We can define the random variable X as the head circumference for boys at birth and we know that the distribution for X is given by:

X\sim N(\mu = 34.5, \sigma=1.3)

Similarly we can define the random variable Y as the head circumference for boys at birth and we know that the distribution for Y is given by:

Y\sim N(\mu = 33.9, \sigma=1.2)

And we know that Eddie was born with 33.2 cm and Sue with 32.7 cm for the head circumference . Since we are interested to determine which child's head circumference is smaller relative to other children of the same sex, we can use the z score formula given by this formula:

z = \frac{X -\mu}{\sigma}

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

z= \frac{33.2-34.5}{1.3}= -1

And for the case of Sue we got:

z = \frac{32.7-33.9}{1.2}= -1

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

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3 years ago
a deli offers up 12 different toppings on their sub sandwiches. How many different 4-topping sandwiches are possible?
jek_recluse [69]

Answer:

There are 3 because 12 divided by 4 is 3.

Step-by-step explanation:

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3 years ago
The points (0,0), (3,8) and (9,24) are on the graph of a proportional relationship. Determine a fourth point that belongs on the
Alex73 [517]

Answer:

(6, 16)

Step-by-step explanation:

This is a linear graph with equation y=8/3x

Just plug in any value of x to get another value of y

Look at the two graphs below

The equation y=8/3 contains the given points (0,0), (3,8), and (9,24) All you need to do is select another point on that line

7 0
3 years ago
Elmer had climed most of the way up a rock wall when he slipped and fell down 2/9 of the wall. He regained his footing and climb
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Answer:

1 = m - 2/9 + 7/10

Step-by-step explanation:

We have to, a wall represents unity, therefore to climb a wall, it would then be 1/1 of that wall.

They tell us that the majority has risen, they do not tell us how much, therefore, we will assume that the majority with a value m.

So, when it fell, it lost 2/9 of the wall but then resumed 7/10, that is:

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That is, it had an advance of 43/90 of the wall, we know that the wall is 1/1, therefore:

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m = 1/1 - 43/90 = 90-43 / 90

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It means that most of the wall is 47/90

The function would be

1 = m - 2/9 + 7/10

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