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3 years ago

A polynomial function is given.

Mathematics

1 answer:

faltersainse [42]3 years ago

6 0

Answer:

Step-by-step explanation:

Look what happens if you do the multiplication of P(x):

P(x) = x^3 - 9x

This is a variation of the basic cubing function y = x^3.

The graph begins in QIII and ends in QI; in other words, if you go left the graph drops; if you go right, the graph rises (without limit, in both cases).

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Shortest distance to the origin y=1/2x^2 -4

IrinaK [193]

X=0 y=-2
y=0 x=4

The shortest distance has to be the perp bisector from origin to the midpoint of the line.
midpoint =(2,-1) and distance from the (0,0) origin is sqrt(5) hence, sqrt(5).

6 0

3 years ago

Consider all four-digit numbers that can be made from the digits 0-8 (assume that numbers cannot start with 0). What is the prob

vodomira [7]

Answer:

0.2498

Step-by-step explanation:

Number of 4 digit numbers that can be formed from the digit (0 - 8), assume number can't start from 0

Thus ;

First digit = (1, 2, 3, 4, 5, 6, 7, 8) = 8 ways

Next three digits = (0, 1, 2, 3, 4, 5, 6, 7, 8) = 9 ways

Hence,

Total possible outcomes = sample space = (8 * 9 * 9 * 9) = (8 * 9^3 ) = 8 * 729 = 5832

Required = number greater Than 7000

For number to be greater Than 7000, starting digit should be either 7 or 8

Hence,

First digit = 2 ways

Next three digits = 9 ways

Also excluding 7000

Hence, Number of digits above 7000;

2 * 9^3 = 2 * 729 = 1458 - 1 = 1457

Hence,

Probability = 1457 / 5832

= 0.2498285

= 0.2498

7 0

3 years ago

4x+7y=2<br> help . Pls.

solong [7]

Answer:

x = 2-7y over 4

Step-by-step explanation:

4x+7y=2

-7y -7y

4x = 2 - 7y

/4 /4

x=2 - 7y/4

6 0

3 years ago

PLS HELPPP !<br><br>The answer is D.<br>can anyone explain why?

Semmy [17]

Electricity wasn't the only energy cost. also look at logs for fire. being that they were bought for fire it is using heat energy. there for making the total energy cost the highest. only look at what is energy cost toward the overall bill.

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3 years ago

Criterion: Identify IV, DV, and hypotheses and evaluate the null hypothesis for an independent samples t test. Data: Use the inf

Papessa [141]

The table is missing in the question. The table is provided here :

Group 1 Group 2

34.86 64.14 mean

21.99 20.46 standard deviation

7 7 n

Solution :

a). The IV or independent variable = Group 1

The DV or the dependent variable = Group 2