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tia_tia [17]
3 years ago
5

What is the range of the function f(x) = |x| – 3?

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0

9514 1404 393

Answer:

  all real numbers greater than or equal to –3

Step-by-step explanation:

|x| has a range of all real numbers greater than or equal to zero, so f(x) = |x|-3 will have a range of ...

  all real numbers greater than or equal to -3

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Factor completely<br> (X^2 + x - 6) (2x^2 + 4x) =
Vikki [24]

Answer:

= 2x^4 + 6x^3 - 8x^2 + 24x

= 2x ( 2x^3 + 3x^2 - 4x + 12)

Step-by-step explanation:

(X^2 + x - 6) (2x^2 + 4x) =

Let's open the brackets carefully

x^2 * 2x^2 + x^2*4x + x*2x^2 + x*4x - 6*2x^2 - 24x

= 2x^4 + 4x^3 + 2x^3 + 4x^2 - 12x + 24x

= 2x^4 + 6x^3 - 8x^2 + 24x

= 2x ( 2x^3 + 3x^2 - 4x + 12)

8 0
3 years ago
Based on a​ survey, when 1009 consumers were asked if they are comfortable with drones delivering their​ purchases, 42% said yes
Darina [25.2K]

Answer:

B.The probability 0+ indicates that the probability is a very small positive value. It indicates that the event is​ possible, but very unlikely.

Step-by-step explanation:

Out of 1009 consumers a sample of 30 consumers is selected and asked the questions. So, the sample size is 30.

n = 30

Based on previous survey, 42% are comfortable with the drone. So in this sample, we can consider the probability of success to be 42%.

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

We want to find the probability of getting exactly 24 consumers who are comfortable with drones.

x = 24

Since, the sample size is fixed, the selections are independent and probability of success is constant, we can use the Binomial Probability to answer this problem. All the conditions of a Binomial Distribution are being satisfied.

According to the formula of Binomial Distribution, the probability of getting exactly x success among n trials is given as:

P( X = x )=^{n}C_{x}(p)^{x}(q)^{n-x}

Using the values, we get:

P(X = 24) =^{30}C_{24}(0.42)^{24}(0.58)^{6}= 0.00002

Thus, the probability of getting exactly 24 consumers from a sample of 30 who are comfortable with drones is 0.00002, which is extremely small.

Since, the value of probability is a very small positive number, it indicates that event is possible but very unlikely. An impossible event has probability equal to 0.

Therefore, option B gives the correct answer.

6 0
3 years ago
ALL OF THEM FOR BRAINLIEST
Pepsi [2]

Answer:

1. 8/9

2. 8575

3. 1/54

4. -225

Goodluck:)

8 0
3 years ago
Which of the following is a ray as shown in the drawing?
OLEGan [10]

Answer:

DH

Step-by-step explanation:

7 0
4 years ago
How many real number solutions does the equation have 0=5x^2+2x-12
Harman [31]
 Rearrange the equation to standard form of a quadratic equation (ax^2+bx+c=0) by switching sides: 5x^2+2x-12=0. Now, use the quadratic equation formula to solve. You should come out with x_1=sqrt61-1/5 and x_2=-1+sqrt61/5. Thus, your answer is B, or two solutions.
7 0
3 years ago
Read 2 more answers
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