Which equation represents a function that is nonlinear?

Solve for x given BD = 4x+3 and AE = 4x+8. Assume B is the midpoint of segment AC and D is the midpoint of segment CE.

wolverine [178]

Answer: The fraction x = 1/2 or its equivalent decimal form x = 0.5

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Work Shown:

AE = 2*(BD)

4x+8 = 2*(4x+3)

4x+8 = 8x+6

8-6 = 8x-4x

2 = 4x

4x = 2

x = 2/4

x = 1/2

x = 0.5

note: the first equation is set up basically saying that AE is twice that of BD; put another way, BD is half as long as AE. This is one property of midsegments. Another property is that AE and BD are parallel.

another note: if x = 0.5, then AE = 4*x+8 = 4*0.5+8 = 10 while BD = 4*x+3 = 4*0.5+3 = 5, showing that AE is indeed two times longer than BD.

8 0

3 years ago

HELP!!!!!ASAP!!!!!!

dlinn [17]

Answer:

$\sin( 115 \degree) = 0.906$

Step-by-step explanation:

The general point on a unit circle is given by

$x = \cos( \theta)$

$y = \sin( \theta)$

where

$\theta = 115 \degree$

is the terminal side of the angle in standard position.

Therefore

$x = \cos( 115 \degree)$

$y = \sin(115 \degree)$

lies on this circle

This angle intersects the unit circle at

$( - 0.423,0.906)$

Hence we must have

$\cos( 115 \degree) = - 0.463$

$\sin( 115 \degree) = 0.906$

6 0

3 years ago

What expression is equal to 3(2u)

mixas84 [53]

Answer:

6(2u)=12u

Step-by-step explanation:

5 0

3 years ago

Emma needs to find the surface area of a triangular pyramid where the base and all three faces are congruent equilateral triangl

Alex17521 [72]

Answer:

73.19

Step-by-step explanation:

4 * (1/2)* (6.5) * (5.63)

4 0

3 years ago

What is a 90% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when

Julli [10]

The question is incomplete. Here is the complete question.

USA Today reported that 36% of adult drivers admit that they often or sometimes talk on a cell phone when driving. This was based on a random sample of 1004 adult drivers.

a) What is a 90% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when driving?

b) What is a 95% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when driving?

c) What is a 99% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when driving?

d) What do you notice?

Answer and Step-by-step explanation: The way to calculate confidence interval for proportions is by using the following formula:

$z(\sqrt{\frac{p(1-p)}{n} } )$

where

p is the sample population proportion

n is the number of individuals in the sample

z is z-score associated of the % of confidence

a) A 90% confidence has a z-score of z = 1.645

Calculating:

Interval = $1.645(\sqrt{\frac{0.36(1-0.36)}{1004} } )$

Interval = $1.645(\sqrt{0.00023} )$

Interval = $1.645(0.01515)$

Interval = 0.025

A 90% Confidence interval for true population is between 0.335 and 0.385.

b) A 95% confidence has a z-score of z = 1.96

Since the sample parameter didn't change, the interval will be:

Interval = 1.96(0.01515)

Interval = 0.03

For a 95% confidence, interval is between 0.33 and 0.39.

c) A 99% confidence has a z-score of z = 2.58

Interval = 2.58(0.01515)

Interval = 0.39

For a 99% confidence, interval is between -0.03 and 0.75

d) Confidence interval tells you how certain your results from polling or survey would represent the real population's behaviour. In the experiment above, as the percentage of certainty grows, closer the real population proportion actually is for adult drivers who often or sometimes talk on a cell phone when driving.

8 0

3 years ago