Type the correct answer in each box.

Given g(x)=|-3x+16|, if g(x)=18, find x.

LenaWriter [7]

Answer:

x = - $\frac{2}{3}$ , x = $\frac{34}{3}$

Step-by-step explanation:

The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is

- 3x + 16 = 18 or -(- 3x + 16) = 18

Solving

- 3x + 16 = 18 ( subtract 16 from both sides )

- 3x = 2 ( divide both sides by - 3 )

x = - $\frac{2}{3}$

or

-(- 3x + 16) = 18

3x - 16 = 18 ( add 16 to both sides )

3x = 34 ( divide both sides by 3 )

x = $\frac{34}{4}$

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

| - 3(- $\frac{2}{3}$ ) + 16 | = | 2 + 16 | = | 18 | = 18 ← True

| - 3( $\frac{34}{3}$ ) + 16 | = | - 34 + 16 | = | - 18 | = 18 ← True

Thus x = - $\frac{2}{3}$ and x = $\frac{34}{3}$ are the solutions

8 0

2 years ago

Read 2 more answers

If David were summarizing the data from his sample, he would use _____ statistics. If he wanted to know whether or not his sampl

marishachu [46]

Answer:

If David were summarizing the data from his sample, he would use Descriptive statistics. If he wanted to know whether or not his sample results could be generalized to the population, he would use Hypothesis testing statistics.

Step-by-step explanation:

Hello!

There are two types of statistics.

1. Descriptive statistics.

This method allows you to summarize the observed data of a sample, it gives you an idea of the data distribution shape, its variability, most common values, etc... You can summarize the data using numerical measures (for example: mean, median, mode, variance) or graphics (for example histogram, scatterplots, boxplots)

2. Hypothesis testing.

Using this method you can test the results of an experiment, using the previously summarized sample data, and reach a valid conclusion over your claims that can be generalized to the population of study afterward.

I hope it helps!

7 0

2 years ago

Can someone help me understand how to solve a two variable equation I am really lost

Llana [10]

Easiest method solving 2 unknowns is Substitution.
So there will normally be 2(ormore)equations given.
Say
X+Y= a
bX=cY + d
a b c d are numbers they give
So first we rearrange the first equation
X = a - Y
No we substitute this into the 2nd equation so that we can get Y
since we know X = a-Y,
b(a-Y) = cY + d
we rearrange and we can find Y for this, it is just Y and numbers
hence finding Y, we sub the value for Y into X = a-Y and we get X also .

7 0

2 years ago

(04.02) The graph shows the amount of money paid when purchasing bags of caramel corn at the zoo: A graph is shown. The x-axis i

netineya [11]

Answer: The answer is three dollars

Step-by-step explanation: On the chart, if you go over 1 bag and go up you get 3.

5 0

2 years ago

Read 2 more answers

Can someone please answer these questions to help me understand? Please and thank you! Will mark as brainliest!!

Nadya [2.5K]

QUESTION 1