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mylen [45]
2 years ago
6

What do both of these functions have in common? f(x)=3/2 (x-7) -2 g(x) = 1.5ln(x-2)+7

Mathematics
1 answer:
tamaranim1 [39]2 years ago
4 0

Both the function have same vertical stretch of 1.5 , Option B is the correct answer.

<h3>What is a Function ?</h3>

A function is a law that relates a dependent and an independent variable.

The functions given in the question is

f(x) = 3/2 |(x -7)| -2

g(x) = 1.5 ln(x-2)+7

For a function f(x)

f'(x) = a f(x) represents the stretching of a function if a> 1

here the value of a = 1.5 for both the functions , so they have same vertical stretch of 1.5 .

Therefore from the options given , Option B is the correct answer.

The complete question is attached as an Image.

To know more about Function

brainly.com/question/12431044

#SPJ1

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HELP PLS I DONT KNOW THIS ONE
inessss [21]

Answer:

1                  

-------------  

(x+2)(x-4)

Step-by-step explanation:

x+4                    x+3

-------------   * --------------

x^2+5x+6        x^2 -16

Factor

x+4                    x+3

-------------   * --------------

(x+3)(x+2)        (x+4)(x-4)

Cancel like terms

1                  1

-------------   * --------------

(1)(x+2)        (1)(x-4)

1                  

-------------    x cannot equal -3, -4, -2, 4  

(x+2)(x-4)

5 0
3 years ago
A survey records many variables of interest to the researchers conducting the survey. The following are some of the variables fr
Musya8 [376]

Answer:

The correct option is D

Step-by-step explanation:

A categorical variable is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property. Example of categorical variables are race, sex group and education level.

4 0
3 years ago
Given triangle ABC, A=105°, a=10cm, b=7cm, find B,C and c.
Whitepunk [10]

The value of the side c will be 5.56 cm and angle C is 32.49° and angle B is 42.51°.

<h3>What is law of cosine?</h3>

Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

a² + b² – 2ab cos C = c²

Given triangle ABC, A = 105°, a = 10 cm, b = 7 cm.

Then we have

7² + c² – (2 · 7 · c) cos 105° = 10²

c² + 3.62c – 51 = 0

On solving, we have

c = 5.56

Then the angle C will be

10² + 7² – 2 · 7 · 10 · cos C = 5.56²

                149 – 140 cos C = 30.91

                                 cos C = 0.8435

                                        C = 32.49°

We know that

       ∠A + ∠B + ∠C = 180°

105° + ∠B + 32.49° = 180°

                         ∠B = 42.51°

Learn more about law of cosines here:

brainly.com/question/17289163

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4 0
2 years ago
Kelsey solved the following equation:
Tems11 [23]

9514 1404 393

Answer:

  (a) 1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality

Step-by-step explanation:

Replacement of -1/2(8x +2) by -4x -1 is use of the <em>distributive property</em>, eliminating choices B and D.

In step 3, addition of 1 to both sides of the equation is use of the <em>addition property of equality</em>, eliminating choice C. This leaves only choice A.

_____

<em>Additional comment</em>

This problem makes a distinction between the addition property of equality and the subtraction property of equality. They are essentially the same property, since addition of +1 is the same as subtraction of -1. The result shown in Step 3 could be from addition of +1 to both sides of the equation, or it could be from subtraction of -1 from both sides of the equation.

In general, you want to add the opposite of the number you don't want. Here, that number is -1, so we add +1. Of course, adding an opposite is the same as subtracting.

In short, you can argue both choices A and C have correct justifications. The only reason to prefer choice A is that we usually think of adding positive numbers as <em>addition</em>, and adding negative numbers as <em>subtraction</em>.

6 0
2 years ago
What is the equation of the following line you should scroll down to see all Answer options
lilavasa [31]
Given

Given

\begin{gathered} points \\ (0,0)\text{ and }(15,3) \end{gathered}SolutionStep 1Find slopeSlope\text{ \lparen M\rparen=}\frac{y_2-y_1}{x_2-x_1}\begin{gathered} x_1=0 \\ y_1=0 \\ x_2=15 \\ y_2=3 \end{gathered}

Substitute the given points into the slope formula

Slope(m)=\frac{3-0}{15-0}=\frac{3}{15}=\frac{1}{5}step 2Equation of a line\begin{gathered} y=mx+b \\ m=\frac{1}{5} \\ x=0 \\ y=0 \\  \end{gathered}\begin{gathered} 0=0(\frac{1}{3})+b \\ b=0 \end{gathered}Step 3y=\frac{1}{5}xThe final answerOption B

6 0
1 year ago
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