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3 years ago

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 (a, b) and (c, d) is

(d - b) / (c - a)

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

(f(c) - f(a) ) / (c - a)

Here, we have

f(x) = x ²

so that

f (1) = 1² = 1

f (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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Please help me 7th grade Math

tensa zangetsu [6.8K]

Answer:

1/6

Step-by-step explanation:

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3 years ago

According to the World Health Organization (WHO) Child Growth Standards, the head circumference for boys at birth is normally di

Elena L [17]

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:

8 0

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

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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

KatRina [158]

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:

- (2/9) + (7/10) = -20 + 63/90 = 43/90

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

p = m + 43/90

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

m = 47/90

It means that most of the wall is 47/90

The function would be

1 = m - 2/9 + 7/10

3 0

3 years ago