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2 years ago

What is the opposite of -2 2/3

2 answers:

8 0

$Opposite\ number\ of\ x\ it's\ equal\ -x!\\\\therefore\\\\opposite\ number\ of\ -2\frac{2}{3}\ is\ equal\ \huge\boxed{2\frac{2}{3}}$

lesya692 [45]2 years ago

8 0

The answer would be 2 2/3.

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At what point on the graph of y=1/4x^4 is the tangent line parallel to the line 24x -3y=8

Rama09 [41]

Answer:

a) dy/dx = 4/(2y+1)^2.

(b) y = 4/9 x - 14/9

Step-by-step explanation:

You have the following equation

(1)

(a) You first derivative implicitly the equation (1) respect to x:

next, you solve the last result for dy/dx:

(2)

(b) The equation for the tangent line is given by:

(3)

with yo = -2 and xo = -1

To find the slope m you use the result of the equation (2), because dy/dx evaluated in (-1,-2) is the slope at such point:

m =

Hence, by replacing in the equation (3) you obtain:

hence, the equation for the tangent line is y = 4/9 x - 14/9

(4)

the second derivative for the point (-1,-2) is obtained by replacing y=-2 and dy/dx=m=4/9 in the equation (4):

hence, d2y/dx2 evaluated in (-1,-2) is -64/243

Step-by-step explanation:

3 0

3 years ago

Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-

coldgirl [10]

Answer:

c is all the points in the open interval (0,25)

Step-by-step explanation:

Here given is a function

$f(x) =x$ , which is continuous in the interval [0,25] and differentiable in (0,25)

Mean value theorem says there exists at least one c in the interval (0,25) such that

$f'(c) = \frac{f(25)-f(0)}{25-0}$

We have

$f(25)=25 and f(0) = 0\\f'(c) = 1$

For the given function

$f'(x) =1$

Hence we have c equals all the points in the open interval (0,25)

7 0

3 years ago

Find the slope of the line that passes through these two points:<br> (-12, -1) and (-3,-4)

ziro4ka [17]

-1/3 is the slope of the line

7 0

3 years ago

A study is conducted to determine if a newly designed text book is more helpful to learning the material than the old edition. T

Oksanka [162]

Answer:

The null and alternative hypotheses are:

$H_{0}:\mu=75$

$H_{a} : \mu>75$

Under the null hypothesis, the test statistic is:

$t=\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}} }$

Where:

$\bar{x} =83$ is the sample mean

$s=9.8206$ is the sample standard deviation

$n=10$ is the sample size

$\therefore t= \frac{83-75}{\frac{9.8206}{\sqrt{10}} }$

$=2.58$

Now, we can find the right tailed t critical value at 0.01 significance level for df = n-1 = 10 - 1 = 9 using the t distribution table. The t critical value is given below:

$t_{critical} =2.821$

Since the test statistic is less than the t critical value, we therefore, fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim that the people do better with the new edition.

7 0

2 years ago

A geometry teacher asked Radric to define "parallel lines." Radric said that parallel lines are lines in a plane that do not hav

UkoKoshka [18]

Answer: The answer is Yes.

Step-by-step explanation: Given in the question that Radric was asked to define "parallel lines" and he said that parallel lines are lines in a plane that do not have any points in common. We are to decide whether Radric's definition is valid or not.

Parallel lines are defined as lines in a plane which never meets or any two lines in a plane which do not intersect each other at any point are called parallel.

Thus, Radric's definition is valid.

6 0

3 years ago

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