Which is a needed step to prove that AABF = AEDG?

In which funtion is x=2 mapped to 32?

prisoha [69]

The function g(x)=4(x+3)² - 68 is mapped to 32.

<h3>What is equation?</h3>

An equation is a mathematical expression in terms of one or more unknown variable.

Given are the following functions:

f(x)= - 3x² - 4

g(x)= 4(x+3)²-68

f(x)= 3x

f(x)= 2x-62

To get the mapped function, we substitute the value of x in all function,

a) f(x)=-3x²- 4

Put x=2,

f(2)= -3 (2)² - 4

f(2)= -16

It is not mapped.

b) g(x)=4(x+3)² - 68

Put x=2,

g(2) = 4(2+3)² - 68

g(x) =32

It is mapped to 32.

c) f(x)=3x

Put x=2,

f(2) = 3 x 2 =6

It is not mapped.

d) f(x)=2x - 62

Put x=2,

f(2) =2x2 -62

f(2) = -58

It is not mapped.

Therefore, the function g(x)=4(x+3)² - 68 is mapped to 32.

Learn more about equations.

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5 0

2 years ago

A study examines the relationship between educational preparation and scores on a cultural competency exam. Subjects included ar

Vikentia [17]

Answer:

b. Independent variable

Step-by-step explanation:

Understanding the definition of variables is necessary to grasp the notion of independent and dependent variables. The attributes or sorts of features of specific occurrences or things are specified as variables.

Independent variables are variables that are modified or altered by researchers and the consequences of these modifications are evaluated and compared.

The term dependent variable relates to a sort of variable that assesses how the independent variable(s) impact the test results.

From the given information:

Education level is the predictor since we understand that nurses' education levels are closely correlated with their cultural competence scores. By applying the concept of the logistic regression model and using education level as an independent variable(predictor), we can simply predict their cultural competency. Thus, cultural competency is measured by using the independent variable.

8 0

3 years ago

Himpunan penyelesaian pertidaksamaan nilai mutlak |2x-4| > |3x+2|

Stells [14]

Answer:

The solution in interval notation is:

$(-6,\frac{2}{5})$ .

The solution in inequality notation is:

$-6$ .

Step-by-step explanation:

I think you are asking how to solve this for $x$ .

Keep in mind $|x|=\sqrt{x^2}$ .

$|2x-4|>|3x+2|$

$\sqrt{(2x-4)^2}>\sqrt{(3x+2)^2}$

If $\sqrt{u}>\sqrt{v}$ then $u>v$ .

$(2x-4)^2>(3x+2)^2$

Subtract $(2x-4)^2$ on both sides:

$0>(3x+2)^2-(2x-4)^2$

Factor the difference of squares $a^2-b^2=(a-b)(a+b)$ :

$0>((3x+2)-(2x-4))((3x+2)+(2x-4))$

Simplify inside the factors:

$0>(x+6)(5x-2)$

$(x+6)(5x-2)$

The left hand side is a parabola that faces up. I know this because the degree is 2.

The zeros of the the parabola are at x=-6 and x=2/5.

We can solve x+6=0 and 5x-2=0 to reach that conclusion.

x+6=0

Subtract 6 on both sides:

x=-6

5x-2=0

Add 2 on both sides:

5x=2

Divide both sides by 5:

x=2/5

Since the parabola faces us and $(x+6)(5x-2)$ then we are looking at the interval from x=-6 to x=2/5 as our solution. That part is where the parabola is below the x-axis. We are looking for where it is below since it says the where is the parabola<0.

The solution in interval notation is:

$(-6,\frac{2}{5})$ .

The solution in inequality notation is:

$-6$ .

6 0

4 years ago

(-3.4k-7)+(3k+21) <br><br> and can you please show your work? i dont know what im doing wrong.

mamaluj [8]

Answer:

-3.4k-7+3k+21

-3.4k+3k-7+21

-0.4k+14