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2 years ago

How do i solve this absolute value equation |3x-2|+4=7?

Mathematics

2 answers:

Bezzdna [24]2 years ago

8 0

The answer to |3x-2|+4=7 is x=3/5 and x=-1/3

Diano4ka-milaya [45]2 years ago

5 0

Answer:

{3x-2}+4=10

Step-by-step explanation:

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A scientist counts 25 bacteria present in a culture and finds that the number of bacteria tripled each hour. the function y=25•3

LUCKY_DIMON [66]

Answer: The answer is 3.5

Step-by-step explanation:

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2 years ago

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A machine at a bottling company fills water bottles. the number of bottles filled is proportional to the amount of time the mach

Whitepunk [10]

In the table shown below:

Let N be the number of bottles filled,

Let T be the time in hours.

Given that the number of bottles filled is proportional to the amount of time the machine runs, we have

$\begin{gathered} N\propto T \\ \text{Introducing a proportionality constant, we have } \\ N\text{ = kT} \\ \Rightarrow k\text{ = }\frac{N}{T} \\ \end{gathered}$

Let's evaluate the value of k for each day.

Thus, on monday,

$\begin{gathered} N\text{ = 9900} \\ T\text{ = 5.5} \\ \text{thus,} \\ k\text{ = }\frac{9900}{5.5} \\ \Rightarrow k\text{ = 1800} \end{gathered}$

Tuesday:

$\begin{gathered} N\text{ = }11160 \\ T\text{ = }6.2 \\ \text{thus,} \\ k\text{ = }\frac{11160}{6.2} \\ \Rightarrow k\text{ = 1800} \end{gathered}$

Wednesday:

$\begin{gathered} N\text{ = }12330 \\ T\text{ = }6.25 \\ \text{thus,} \\ k\text{ = }\frac{12330}{6.25} \\ \Rightarrow k\text{ = 1972.8} \end{gathered}$

Thursday:

$\begin{gathered} N\text{ = }10440 \\ T\text{ = }5.80 \\ \text{thus,} \\ k\text{ = }\frac{10440}{5.8} \\ \Rightarrow k=1800 \end{gathered}$

It is observed that all exept wednesday have the same value of k.

Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as

$\begin{gathered} N\text{ = }12330 \\ k\text{ = 1800} \\ T\text{ = ?} \\ \text{but} \\ k\text{ = }\frac{N}{T} \\ 1800\text{ = }\frac{12330}{T} \\ \Rightarrow T\text{ = }\frac{\text{12330}}{1800} \\ T\text{ = 6.85} \end{gathered}$

Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.

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8 months ago

Mai bought gas for her car. Gas cost $2.95 per gallon Mai bought 8.2 gallons What was the total cost for Mai's gas?

yulyashka [42]

Answer: $24.19

Step-by-step explanation:

From the question, we are informed that Mai bought gas for her car which cost $2.95 per gallon and that she bought 8.2 gallons.

The total cost for Mai's gas will be:

= $2.95 × 8.2

= $24.19

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2 years ago

A line has a slope of 8 and includes the points (1, z) and (2,8). What is the value of z?

NISA [10]

The value of z is zero

Step-by-step explanation:

The slope is the steepness of the line.

The formula for slope is given by:

$m=\frac{y_2-y_1}{x_2-x_1}\\Here\\(x_1,y_1)\ are\ the\ coordinates\ of\ first\ point\ on\ line\\(x_2,y_2)\ are\ the\ coordinates\ of\ second\ point\ on\ line$