Which number line represents the solutions to |x + 4| = 2?
Which number line represents the solutions to |x + 4| - 1

Answers

Answer 1
Answer:

Answer:

The solution is represented by  the first number line, wich has the solutions x=-6 and x=-2.

Step-by-step explanation:

We have an absolute value function for the equation. This means that we should have two differents solution in the real number line. As the equation is

|x+4|=2

when we clear out the absolute value, we will have two possible solutions:

x+4=2

and

-(x+4)=2

now we clear x from both equations

x+4=2 \Leftrightarrow x=2-4 \Leftrightarrow x=-2

-(x+4)=2 \Leftrightarrow -x-4=2 \Leftrightarrow -2-4=x \Leftrightarrow x=-6

Then, we have that x=-2 and x=-4 are the solutions for the equation, and therefore the number line that represents the solution is the first one, where the points -6 and -2 are highlighted.

Answer 2
Answer:

the first number line

given | x + 4 | = 2

removing the bars from the absolute value gives

x + 4 = 2 or x + 4 = - 2

x = 2 - 4 or x = - 2 - 4

x = - 2 and x = - 6 ← solutions

these are indicated on the number line by a solid circle at - 2, - 6



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How do you factor this

Answers

Keep your head up.


Trying to spread positivity

A social scientist believed that less than 30 percent of adults in the United States watch 15 or fewer hours of television per week. To test the belief, the scientist randomly selected 1,250 adults in the United States. The sample proportion of adults who watch 15 or fewer hours of television per week was 0.28, and the resulting hypothesis test had a p-value of 0.061. The computation of the p- value assumes which of the following is true? (A) The population proportion of adults who watch 15 or fewer hours of television per week is 0.28. Submit

(B) The population proportion of adults who watch 15 or fewer hours of television per week is 0.30.

(C) The population proportion of adults who watch 15 or fewer hours of television per week is less than 0.30.

(D) The population mean number of hours adults spend watching television per week is 15.

(E) The population mean number of hours adults spend watching television per week is less than 15.

Answers

The population proportion of adults who watch 15 or fewer hours of television per week is less than 0.30.

Given that,

A social scientist believed that less than 30 percent of adults in the United States watch 15 or fewer hours of television per week.

The scientist randomly selected 1,250 adults in the United States. The sample proportion of adults who watch 15 or fewer hours of television per week was 0.28,

And the resulting hypothesis test had a p-value of 0.061.

We have to determine,

The computation of the p- value assumes which of the following is true.

According to the question,

Let, The proportion of adults watching televisionless than or equal to 15% be = x

Null Hypothesis [H0] :  x = 30% = 0.30

Alternate Hypothesis [H1] : x < 30% , or x < 0.30

P value is calculated at z value :

= P_1- \sqrt(p_o(1-p_o))/(n)}

Where p' = 0.28, P_0 = 0.30, P_1= 0.70 ;

Then,

= 0.70- \sqrt(0.30(1-0.30))/(1250)}\n\n= 0.70- \sqrt{(0.30 * 0.70 )/(1250) }\n\n= 0.70 - 0.012\n\n= 0.61

Assuming 10% level of significance, p = 0.10

Therefore, p value 0.061 < 0.10, reject H0 & accept H1. This implies that we conclude that 'x i.e. proportion of adults watching television less than or equal to 15% <  30% or 0.30'

Hence, The population proportion of adults who watch 15 or fewer hours of television per week is less than 0.30.

To know more about Sample proportion click the link given below.

brainly.com/question/13846904

Answer:

(C) The population proportion of adults who watch 15 or fewer hours of television per week is less than 0.30

Step-by-step explanation:

Let the proportion of adults watching television less than or equal to 15% be = x

  • Null Hypothesis [H0] :  x = 30% = 0.30
  • Alternate Hypothesis [H1] : x < 30% , or x < 0.30

P value is calculated at z value : p' - [ √ { p0 (1- p0) } / n ] ;

where p' = 0.28, p0 = 0.30, p1 = 0.70 ; ∴ p ( z < -1.543) = 0.061

Assuming 10% level of significance, p = 0.10

As p value 0.061 < 0.10, we reject H0 & accept H1. This implies that we conclude that 'x ie proportion of adults watching television less than or equal to 15% <  30% or 0.30'

Solve F(x) for the given domain.F(x)= x2 + 3x-2
F(-1) =
Jutaານເພະາ
a. -4
b. -6
C. 2.​

Answers

Answer:

A. -4

Step-by-step explanation:

F(-1) means we must plug the number "-1" in for each x.

F(x) = x^2 + 3x - 2

F(-1) = (-1)^2 + 3(-1) - 2

= 1 - 3 - 2

= -4

A cooler contains eleven bottles of sports drink: four lemon-lime flavored and seven orange flavored. you randomly grab a bottle and give it to your friend. then, you randomly grab a bottle for yourself. you and your friend both get lemon-lime.find the probability of this occurring.

Answers

The probability that you will choose a lemon-lime for your friend is the number of lemon-limes divided by the total number of drinks, 4/11.

The probability that you will subsequently choose one for yourself is the same ratio with different numbers (because a lemon-lime has already been selected), 3/10.

The probability of both of these events occurring is the product of their individual probabilities: (4/11)·(3/10) = 6/55

Which homophone best completes the sentence? Though I prefer to eat fruit, I enjoy vegetables ________. your you’re too two

Answers

Though I prefer to eat fruit, I enjoy vegetables too.

A homophone is a word that is pronounced the same as another word but differs in meaning.

What are some examples of homophones?

Homophones may consist of two or more words, although pairs are more common than three or more words that sound the same. Examples of homophones that have three words are to, too, and two, and their, there, and they're.

here, we have,

Though I prefer to eat fruit, I enjoy vegetables too.

A homophone is a word that is pronounced the same as another word but differs in meaning.

Learn more about homophones here

brainly.com/question/7449238

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Too

Too rhymes with fruit. Two wouldn’t make sense because that’s a number. Your and you’re just do not make sense.