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Natasha2012 [34]
3 years ago
14

If f(x) = |x| and g(x) = |x| − 4, which transformation is applied to f(x) to get g(x)?

Mathematics
1 answer:
Alex17521 [72]3 years ago
5 0
D is the right answer
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Which equation is a quadratic model for the data set? Hint: Use a graphing calculator or a spreadsheet program.
Ivahew [28]

The equation that model a quadratic function is:  y=0.9673x²-0.8475x+10.4334

Step-by-step explanation:

A quadratic function has the form of ;

f(x) = ax²+bx+c  where a, b and c are real numbers and a≠0

For this case, equation y=0.9673x²-0.8475x+10.4334 models a quadratic function where a>0 thus the parabola opens upwards

See attached figure below to visualize the graph

Learn More

Quadratic functions graphs: brainly.com/question/9048896

Keywords : equation, quadratic model, data set, calculator, spreadsheet program.

#LearnwithBrainly

4 0
3 years ago
Let f(x) = 2x – 1 and g(x) = 3x<br> Find g(f(x))
Gemiola [76]
6x-3

You have to put f(x) into g(x) to find the answer, so you rewrite it like this: 3(2x-1)
7 0
3 years ago
A driving exam consists of 29 ​multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probabili
Sholpan [36]

Answer and explanation:

Given : A driving exam consists of 29 ​multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probability that a student makes fewer than 6 mistakes on the exam is 0.26 and that the probability that a student makes from 6 to 20 ​(inclusive) mistakes is 0.53.

Let X be the number of mistake

P(X

P(6\leq X\leq 20)=0.53

To find : The probability of each of the following outcomes.

a) A student makes more than 20 mistakes

i.e. P(X>20)

P(X>20)=1-P(X\leq 20)

P(X>20)=1-(P(X\leq 5)+P(6\leq X\leq 20))

P(X>20)=1-(0.26+0.53)

P(X>20)=1-(0.79)

P(X>20)=0.21

b. A student makes 6 or more mistakes

i.e. P(X\geq 6)=1-P(X

P(X\geq 6)=1-0.26

P(X\geq 6)=0.74

c. A student makes at most 20 mistakes

i.e. P(X\leq 20)=1-P(X>20)

Using 'a' part  P(X>20)=0.21

P(X\leq 20)=1-0.21

P(X\leq 20)=0.79

d. Which two of these three events are​ complementary?

The complement of an event happening is the exact opposite: the probability of it not happening.

According to definition,

Option a and c are complementary events.

6 0
3 years ago
Read 2 more answers
What are the vertical asymptotes of the function f(x) = 2x + 8 / x2 + 5x + 6?
Irina18 [472]
I'm assuming the function is f(x) = (2x+8)/(x^2+5x+6). If so, make sure to use parenthesis to indicate that you're dividing all of "2x+8" over all of "x^2+5x+6" as one big fraction. Otherwise, things are ambiguous and it leads to confusion.

Side Note: x^2 means "x squared"

Factor the numerator: 2x+8 = 2(x+4)
Factor the denominator: x^2+5x+6 = (x+2)(x+3)

There are no common factors between the numerator and denominator. So there is nothing to cancel out. 

Recall that you cannot divide by zero. Something like 1/0 is undefined. 
We need to find the x values that cause the denominator to be zero.
Set the denominator equal to zero and solve for x
x^2+5x+6 = 0
(x+2)(x+3) = 0
x+2 = 0 or x+3 = 0
x = -2 or x = -3

The x values x = -2 or x = -3 will lead to the denominator being zero. This means that the vertical asymptotes are x = -2 or x = -3 as shown by the blue dashed vertical lines in the attached image.

4 0
3 years ago
Whats the answer to this question
stealth61 [152]
The output is times 3
hope that helps!!!
4 0
3 years ago
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