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sineoko [7]
3 years ago
11

Which graph shows the solution to the equation log2 (3x – 1) = 2?

Mathematics
2 answers:
MrRa [10]3 years ago
3 0

the answer is graph b on edg.

amm18123 years ago
3 0

Answer:

Option 2  

Step-by-step explanation:

Given : Equation \log_2(3x-1)=2

To find : Which graph shows the solution to the equation?

Solution :

First we distribute the equation into two equation.

Let  Equation 1 be y=\log_2(3x-1)

and Equation 2 be y=2

Plot these two equation,

The equation 1 with purple line and equation 2 with orange line.

As these equation are equal there intersection point is given by,

Intersection point (1.667,2)

From the given graph only option 2 gives the correxct intersection point.

So, option 2 is correct.

Refer the attached figures below.  

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For the following exercises, evaluate the function at the indicated values:
STALIN [3.7K]

Answer:

The evaluated function for the indicated values is given below.

The value of f(-3) is 20 .

The value of f(2) is 10 .

The value of f(-a) is $2|-3 a-1|$.

The value of -f(a) is $-2|3 a-1|$.

The value of f(a+h) is $2|3 a+3 h-1|$.

Step-by-step explanation:

A function $f(x)=2|3 x-1|$ is given.

It is required to evaluate the function at $f(-3) ; f(2) ; f(-a) ;-f(a) ; f(a+h)$.

To evaluate the function, substitute the indicated values in the given function to determine the output values and simplify the expression.

Step 1 of 5

The given function is $f(x)=2|3 x-1|$.

To evaluate the function at f(-3), substitute -3 in the given function f(x)=2|3 x-1|$\\ $f(-3)=2|3(-3)-1|$\\ $f(-3)=2|-9-1|$\\ $f(-3)=2|-10|$\\ $f(-3)=2(10)$\\ $f(-3)=20$

Step 2 of 5

To evaluate the function at $f(2)$, substitute 2 in the given function.

f(x)=2|3 x-1|$\\ $f(2)=2|3(2)-1|$\\ $f(2)=2|6-1|$\\ $f(2)=2(5)$\\ $f(2)=10$

Step 3 of 5

To evaluate the function at f(-a), substitute -a in the given function.

$$\begin{aligned}&f(x)=2|3 x-1| \\&f(-a)=2|3(-a)-1| \\&f(-a)=2|-3 a-1|\end{aligned}$$

Step 4 of 5

To evaluate the function at -f(a), substitute a in the given function.

f(x)=2|3 x-1|$\\ $-f(a)=-2|3(a)-1|$\\ $-f(a)=-2|3 a-1|$

Step 5 of 5

To evaluate the function at f(a+h), substitute a+h in the given function. $f(x)=2|3 x-1|$

$$\begin{aligned}&f(a+h)=2|3(a+h)-1| \\&f(a+h)=2|3 a+3 h-1|\end{aligned}$$

7 0
1 year ago
What is the equation, in slope-intercept form, of the line that passes through (0, −2) and has a slope of −3?
Julli [10]

Answer:

y= -3x-2

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
What is 5a*2 -6a+7a*2+3a-2+8a+7= <br> Distribute and combine like terms
andrey2020 [161]
5a^2-6a+7a^2+3a-2+8a+7\\\\=5a^2+7a^2-6a+3a+8a-2+7\\\\=12a^2+5a+5
6 0
3 years ago
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When it was Tess' turn in the "Guess my number game, the gloves were off! She gave Davis the following 10 clues:
astra-53 [7]

The number is 999777888.

S<u>tep-by-step explanation:</u>

Reaching to the answer by solving the clues one by one.

The number is a 9 digit whole number. So it has to be 0 or greater than 0

The number is even .So its last digit will be even.

Each of the digit appears exactly thrice. So there will be three digits used three times each in the number.

Each digit is greater than 6. So there will be no digits less than 7 in the number.

All the digits in each period are same. So a period of three adjacent digits will have same the same digit.for ex.777 is  a period

The number is greater than 7. So the digit in the millions place and higher is 9.

The number is divisible by 3. So the sum of all the digits should be divisible by 3.

The number is divisible by 4. So the number formed by last two digits of the number should be divisible by 4.

Thousands digit is 7.

The number that satisfies all the given conditions is 999777888.

5 0
3 years ago
I don't understand this
Anton [14]

Answer: (2,1)

Step-by-step explanation:

The two equations given are:

           y = 3 -x

           y = x - 1

The question is asking to determine the point of intersection for two linear functions aka two lines.

Step #1: Both functions must be in slope intercept form which is y = mx+b. In this case, this step can be skipped because both functions are in slope form. At an intersection, x and y must have the same value for each equation. This means that the equations are equal to each other. Therefore, we can set both equations equal to each other to solve for x.

  • Add x to both sides to get 2x - 1 = 3
  • Add 1 to both sides to get 2x = 4
  • Divide both sides by 2 to get x = 2

Step #2: We found the x-coordinate, but we need to find the y-coordinate. We know that the x-coordinate is 2, so substitute the number 2 into any of the given equations. So, either into y = 3 - x or y = x - 1.

The point of intersection is (2,1).

Hope this helps ^_^

3 0
2 years ago
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