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3 years ago

The formula Y=X⁴-4X³+3X² is growing?

Mathematics

1 answer:

miskamm [114]3 years ago

6 0

Answer:

The best way to know weather the formula y=x⁴-4x³+3x² is growing or not, is by graphing it.

As you can see in the attached picture:

For -inf<x< 0 the graph decreases.
For 0<x<0.634 the graph is growing
For 0,634<x<2.366 the graph decreases
For 2.366<x<+inf the graph is growing.

Therefore, the polynomial grows in the intervals stated before.

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Help with these math questions please help me thank you!

Reptile [31]

Step-by-step explanation:

1.(2,3)

2.No

3.1st quadrant

4.5

5.Yes

6.Quadrant-4

7.(2,-3)

6 0

3 years ago

Part 1: Create a scenario for an arithmetic sequence. For example, Jasmine practices the piano for ______ minutes on Monday. Eve

vekshin1

Part 1: Jasmine practices the piano for 30 minutes on Monday. Every day she increases her practice time by 5 minutes. If she continues this pattern, how many minutes, on the 7th day she will practice Tn = a + (n - 1)d
T7 = 30 + 5(7 - 1) = 30 + 5(6) = 30 + 30
T7 = 60 minutes

Part 2: Anthony goes to the gym for 10 minutes on Monday. Every day he multiplies his gym time by 2. If he continues this pattern, on the 5th day she will spend 10(2)^(5 - 1) = 10(2)^4 = 10(16) = 160 minutes in the gym.

6 0

2 years ago

I need help with this and I don’t understand it

DochEvi [55]

Lets break it down:

The bottom right picture shows an approximation of what 1 wingspan length is, and the goal is to estimate lengths.

A. 1 wing is approx. 7 meters. To find the wingspan of the plane just do 7 meters multiplied by 2 = 14 meters (approx wingspan). Now we convert (remember, to the nearest foot!)

14 meters = 45.93 ft

Round it to the nearest foot = 46 ft is your approx. wingspan.

B. The height. This is one is a little tricky! Lets try to use what we know:

1 wing is approx. 7 meters. Since these are approximations, lets say half of one wing is roughly the size of the height of the plane. Since these are approximations I'd say 4 meters.

4 meters = 13 ft (rounded).

I checked online for the specs of the Lysander and the exact height is 14 ft 6 in and wingspan is 50 ft. This means our approximations were correct!

C. The length would be 10 ft + 7 meters

10 ft = 3 meters (rounded)

3 meters + 7 meters = 10 meters

(converting to meters then to ft at the end because it's less messy)

10 meters = 33 ft (rouned)

length of the Lysander is approx. 33 ft!

(the real length is 30 ft 6 in)

This means our approximations were correct once more.

Hopefully this helped you and made your night/day easier.

5 0

3 years ago

PLS HELP ASAP I NEED THIS

crimeas [40]

Answer:

Step-by-step explanation:

Firstly let's see definition of Rational numbers ,

Rational numbers :-

The number in the form of p/ q where p and q are integers and q is not equal to zero is called a Rational number .

From the options , look at option D ,its

→ √400

→ √{20²}

→ 20

<h3>Hence option D is correct.</h3>

6 0

3 years ago

The following data are the daily number of minutes of smartphone use for a random sample of 8 students at your institution:

Nadya [2.5K]

Answer:

We fail to reject the Null ;

(88.323, 130.677)

Step-by-step explanation:

Given the data :

117, 156, 89, 72, 116, 125, 101, 100

H0 : μ ≥ 100

H1: μ < 100

From the data: using calculator :

Mean, x = 109.5

Standard deviation, s = 25.33

The test statistic:

(x - μ) ÷ s/Sqrt(n)

(109.5 - 100) ÷ 25.33/sqrt(8)

Test statistic = 1.06

Since, same size is small, we use t test ;

Using the Pvalue calculator :

T at df = 8 - 1 = 7, α = 0.05

Pvalue = 0.161

Pvalue > α

0.161 > 0.05 ; Hence, we fail to reject H0.

B.)

C. I = mean ± Tcritical *s/√n

Tcritical = 2.365 at 95% and df = 7

109.5 ± 2.365(25.3264/√8)

109.5 ± 2.365(8.9542)

(109.5-21.1768 ; 109.5+21.1768)

(88.323, 130.677)

In conclusion true mean is in the confidence interval, so it is consistent.

8 0

2 years ago