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3 years ago

Solve the following equation |x – 3| = 4. Show all work.

Mathematics

2 answers:

Igoryamba3 years ago

8 0

<h2>Solving Equations with Absolute Values</h2><h3>Answer:</h3>

$x = 7$ and $x = -1$

<h3>Step-by-step explanation:</h3>

Solving for the Positive Absolute Value:

$|x -3| = 4 \\ x -3 = 4 \\ x -3 +3 = 4 +3 \\ x = 7$

Solving for the Negative Absolute Value:

$|x -3| = 4 \\ -(x -3) = 4 \\ -(x -3) \cdot -1 = 4 \cdot -1 \\ x -3 = -4 \\ x -3 +3 = -4 +3 \\ x = -1$

Solnce55 [7]3 years ago

8 0

Answer:

x=7, x=−1

Explaination

Find all solutions for x

by breaking the absolute value into the positive and negative components.

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At the movie theater child admission is 6000 and $.30 an adult mission is $9.60 on Wednesday 172 tickets were sold for a total s

jasenka [17]

Answer:

The number of child tickets sold was 75 and the number of adult tickets sold was 97

Step-by-step explanation:

<u><em>The correct question is</em></u>

At the movie theater child admission is $6.30 an adult admission is $9.60 on Wednesday 172 tickets were sold for a total sales of $1403.70 How many child tickets and adult tickets were sold that day?

Let

x ----> number of child tickets sold

y ----> number of adult tickets sold

we know that

$x+y=172$ ----> equation A

$6.30x+9.60y=1,403.70$ -----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both lines

Using a graphing tool

The intersection point is (75,97)

see the attached figure

therefore

The number of child tickets sold was 75 and the number of adult tickets sold was 97

8 0

3 years ago

4. Suppose that Peculiar Purples and Outrageous Oranges are two different and unusual types of bacteria. Both types multiply thr

Viktor [21]

Answer:

Peculiar purples would be more abundant

Step-by-step explanation:

Given that eculiar Purples and Outrageous Oranges are two different and unusual types of bacteria. Both types multiply through a mechanism in which each single bacterial cell splits into four. Time taken for one split is 12 m for I one and 10 minutes for 2nd

The function representing would be

i) $P=P_0 (4)^{t/12}$ for I bacteria where t is no of minutes from start.

ii) $P=P_0 (4)^{t/10}$ for II bacteria where t is no of minutes from start. P0 is the initial count of bacteria.

a) Here P0 =3, time t = 60 minutes.

i) I bacteria P = $3(4)^{5} =3072$

ii) II bacteria P = $3(4)^{4} =768$

b) Since II is multiplying more we find that I type will be more abundant.

The difference in two hours would be

$3(4)^{10}- 3(4)^{8} =2949120$

c) i) $P=P_0 (4)^{t/12}$ for I bacteria where t is no of minutes from start.

ii) $P=P_0 (4)^{t/10}$ for II bacteria where t is no of minutes from start. P0 is the initial count of bacteria.

d) At time 36 minutes we have t = 36

Peculiar purples would be

$i) P=3 (4)^{36/12}=192$

The rate may not be constant for a longer time. Hence this may not be accurate.

e) when splits into 2, we get

$P=P_o (2^t)$ where P0 is initial and t = interval of time

7 0

3 years ago

What is the slope of the segment shown for a staircase with 10-inch treads and 7.75-inch risers? As you walk up (or down) the st

s2008m [1.1K]

The formula for slope is

Slope = Rise / Run = Risers / Treads

Slope = 7.75 in /10 in = 0.775

The slope Is 0.775.

The vertical distance is not continuous, thus it is discrete. A discrete function only allows certain points in the interval. When you walk up or down the stairs, the vertical distances are not continuous because of the treads. You cannot stay also mid-air, so it should be discrete. An example of a continuous function would be when you walk up or down an inclined plane.

8 0

3 years ago

Please help to 10. Thank you

lubasha [3.4K]

Answer: i dont know is the ans

Step-by-step explanation:

7 0

2 years ago

What is a budget? (Need 2 sentences or more)

jeka57 [31]

For this case, we have that by definition, a budget refers to:

<em>An advance calculation of the cost of a work or a service. </em>

For example:

"I asked the mechanic for the repair budget for my vehicle".

As another definition we have:

<em>A set of expenses and income expected for a certain period of time. In the same way, it can be defined as a plan of operations and resources of a company.</em>

<em />

4 0

2 years ago