Find the domain of the function. (enter your answer using interval notation.) f(x) = x + 3 if x < −1 −2x if |x| ≤ 1 −2 if x > 1

Answers

Answer 1

Answer:

The domain of the function is the union of all of the "if" parts of the function definition:

... (-∞, -1) ∪ [-1, 1] ∪ (1, ∞) = (-∞, ∞)

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The speed of light travels at a rate of approximately 3.0 * 10^8 meters per second. How far, in meters, does light travel in 10^5 seconds?

Answers

Answer:

Step-by-step explanation:

There is a few ways to go about doing this problem. I am going to setup a function.

x = seconds

f(x) = distance = How far

f(x) = (3.0* 10^8) x

Insert 10^5 where x is located

(3.0* 10^8) x

Multiply

(3.0* 10^8) (10^5)

Do the math

(3.0* 10^8) (10^5) = 3 * 10^13

Given that m angle KLH=120^ which statement about the must be true? angle HLM is bisected by angle GLJ is bisected by vec LH . m angle KLG=m angle HLJ m angle HLI=m angle LLM

Answers

The true statement is ∠HLM is bisected byLI

What is bisect?

Bisect means to divide a geometric figure to two equal half.
Dividing line is bisector.

Given that ∠KLH=120°

We know that angle of straight line is 180°

∴∠KLM=180°

∠KLH+∠HLM=180°

120°+∠HLM=180°

∠HLM=60°

From figure, ∠HLI=30° and ∠ILM=30°

Line LI cuts the angle HLM into two equal parts such as HLI and ILM.

Therefore, ∠HLM is bisected by LI

Learn more about angle here:

brainly.com/question/25716982

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Answer:angle hlm is bisected by Lj

Step-by-step explanation:

Call a household prosperous if its income exceeds $100,000. Call the household educated if the householder completed college. Select an American household at random, and let A be the event that the selected household is prosperous and B the event that it is educated. According to the Current Population Survey, P(A)=0.138, P(B)=0.261, and the probability that a household is both prosperous and educated is P(A and B)=0.082. What is the probability P(A or B) that the household selected is either prosperous or educated?

Answers

Answer: 0.317

Step-by-step explanation:

Let A be the event that the selected household is prosperous and B the event that it is educated.

Given : P(A)=0.138, P(B)=0.261

P(A and B)=0.082

We know that for any events M and N ,

$\text{P(M or N)=P(M)+P(N)-P(M or N)}$

Thus , $\text{P(A or B)=P(A)+P(B)-P(A or B)}$

$\text{P(A or B)}=0.138+0.261-0.082\n\n\Rightarrow\text{ P(A or B)}=0.317$

Hence, the probability P(A or B) that the household selected is either prosperous or educated = 0.317

if own loses weight at a rate of 2 pounds per week and after 6 weeks is 204 pounds how many weeks will he be 180

Answers

Answer:

12 weeks. 204-180=24, 24/2= 12 weeks.

Step-by-step explanation:

The answer to 48:(4+4)

Answers

Answer:

6:1

Step-by-step explanation:

48:( 4+4 )

= 48:8

= 6:1

Please help thanks!!

Answers

Answer:

y = -2x + 4

Explanation:

Pick two points from the line: (1, 2), (0, 4)

Slope intercept form: y = mx + b

Find 'm': 2 - 4 = -2

Find 'b': 4

Insert numbers into equation: y = -2x + 4

Answer:

y= -2x + 4

Step-by-step explanation:

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