All categories

3 years ago

On what interval(s) is the graph decreasing? - use interval notation

Mathematics

1 answer:

Anna [14]3 years ago

6 0

The function is decreasing from -6 to -3, that is, on the interval (-6,-3), and again on the interval (1, infinity).

The function is increasing on (-3,1).

No local or absolute minimum.

(1,4) is an absolute max.

You might be interested in

A certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at th

OlgaM077 [116]

Answer:

Interval [16.34 , 21.43]

Step-by-step explanation:

First step. Calculate the mean

$\bar X=\frac{(23+18+23+12+13+23)}{6}=18.666$

Second step. Calculate the standard deviation

$\sigma =\sqrt{\frac{(23-18.666)^2+(18-18.666)^2+(23-18.666)^2+(12-18.666)^2+(13-18.666)^2+(23-18.666)^2}{6}}$

$\sigma=\sqrt\frac{18.783+0.443+18.783+44.435+5.666+18.783}{6}$

$\sigma=\sqrt{17.815}=4.22$

As the number of data is less than 30, we must use the t-table to find the interval of confidence.

We have 6 observations, our level of confidence DF is then 6-1=5 and we want our area A to be 80% (0.08).

We must then choose t = 1.476 (see attachment)

Now, we use the formula that gives us the end points of the required interval

$\bar X \pm t\frac{\sigma}{\sqrt n}$

where n is the number of observations.

The extremes of the interval are then, rounded to the nearest hundreth, 16.34 and 21.43

6 0

3 years ago

X/3 - 4 = (-20) what is the answer

melisa1 [442]

Answer:

x=-48

Step-by-step explanation:

Add 4 to both sides and then multiply both sides by 3.

3 0

3 years ago

Read 2 more answers

Sharonda is plotting quadrilateral PQRS on the graph below. She will plot the fourth and

lana [24]

Answer:

11 units

Step-by-step explanation:

Length of side PS can be calculated using the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Where,

$P(-2, 5) = (x_1, y_1)$ (the coordinate of P is gotten from the graph)

$S(9, 5) = (x_2, y_2)$ (given)

$PS = \sqrt{(9 - (-2))^2 + (5 - 5)^2}$

$PS = \sqrt{(11)^2 + (0)^2}$

$PS = \sqrt{121} = 11 units$

3 0

3 years ago

How are rational exponents and radicals related? Summarize how to rewrite a rational power as a radical term using an example of

Nataly [62]

Rational exponent are exponents written in the form of a fraction.
A rational power can be rewritten as a radical in the following way: the bottom of the rational exponent is the root, while the top of the rational exponent is the new exponent on the radical.
Example: X^(1/2)= √X

3 0

3 years ago

Can you help me please please please please please

Aloiza [94]

Answer: the text is kinda too small can u make another one but with it like bigger

Step-by-step explanation:

8 0

3 years ago