Please help me with c this is confusing also is b correct?

Wich of following are solutions to |x+3|= 4x -7 Answer x= 10/3

Ludmilka [50]

Answer:

10/3

Step-by-step explanation:

|x+3|=4x-7

So |-(x+3)|=|x+3|

We are going to try out two cases:

-(x+3)=4x-7 and x+3=4x-7

-x-3=4x-7 3=3x-7

-3=5x-7 10=3x

4=5x x=10/3

x=4/5

We are going to test out both because we could something that isn't actually a solution, this is called extraneous.

First thing I'm going to check is 4x-7 for it being positive.

4(4/5)-7=20/5-7=-15/5=-3 so 4/5 will not work because absolute value result can't be negative

4(10/3)-7=40/3-7=19/3 which is positive

checking |x+3| to see if is 19/3 for x=10/3 we see that is so that is the answer

5 0

3 years ago

1-1 Relations and Functions Marcus drives 32 miles to work each day. He records the number of minutes it takes him to drive and

Korvikt [17]

Answer:

A. [0, 65]

Step-by-step explanation:

Given that

Distance that Marcus drives every day = 32 miles.

The table having average speed as input and time taken as output is shown below in the table format:

$\begin{center}\begin{tabular}{ c c}Speed(mph) & Time(minutes) \\ 60 & 32 \\ 45 & 43 \\ 55 & 35 \\ 50 & 38 \\ 62 & 31 \\\end{tabular}\end{center}$

To find:

The domain that includes all possible average speeds using interval notation = ?

Solution:

First of all, let us understand what is a domain of a function.

Domain of a function is set of valid input values that can be provided to the function so that it has a valid output.

If a function is written as:

$y=f(x)$ then values of $x$ are the input given to the function.

In the given question statement, we are given that maximum Average speed attained by Marcus is 65 miles per hour.

That means domain has a maximum value of 65.

Let us learn something about interval notation.

( or ) means the value is not inclusive.

[ or ] means the value is inclusive.

Here 65 will be inclusive.

On the left side of comma, lower value is written and on the right side of comma, larger value is written.

So, domain for the current situation will be:

[0, 65]

0 is taken as the minimum value of domain here, because average speed value can not be negative.

This interval will contain all the possible values of input (average speed) as shown in the above table of values.

8 0

3 years ago

Brian was asked to write x72 as a product of 2 powers with the same base in 4 different ways, using only positive exponents.

Oksana_A [137]

The equivalent expression to the value given using the laws of indices is ${x}^{4(18)}$

Evaluating the options given based on the laws of indices :

${x}^{8}. {x}^{9} = {x}^{8 + 9} = {x}^{17}$
${x}^{35}. {x}^{47} = {x}^{35 + 47} = {x}^{82}$
${x}^{4(18)} = {x}^{4 \times 18} = {x}^{72}$
${x}^{24}. {x}^{3} = {x}^{24 + 3} = {x}^{27}$

Therefore, the only expression which would give a correct way of representing ${x}^{72} \: is \: {x}^{4(18)}$

Learn more : brainly.com/question/12937923?referrer=searchResults

8 0

3 years ago

Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they

almond37 [142]

Answer:

102 an hour

Step-by-step explanation:

all you do is add all of them together

5 0

3 years ago

The students in Ms. Chang's class decide to order water bottles that advertise the walkathon. Hyun obtains two different quotes

Elan Coil [88]

Answer:

HELLO

Step-by-step explanation:

WHICH CLASS UR STUDYING INN.....

7 0

2 years ago