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3 years ago

F(x) = (x + 3)(x + 5).

Mathematics

2 answers:

Kipish [7]3 years ago

5 0

Answer:

Step-by-step explanation:

Ede4ka [16]3 years ago

5 0

Answer:y=x+8x+15

Step-by-step explanation:

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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.

3 0

11 months ago

The box plots show the data distributions for the number of customers who used a coupon each hour for two days of a store sale.

lidiya [134]

Answer:

Step-by-step explanation:

We can observe from the box plot the medians of both days.

The line in the middle of the box plot represents the median.

The median for Day 1 is: 6

The median for Day 2 is: 8

We have to find the difference between medians of both box plots so the difference is:

8 - 6 = 2

The difference between the medians is 2 ..

4 0

2 years ago

Read 2 more answers

What is the answer ?

maks197457 [2]

Answer:

a rational number

Step-by-step explanation:

a rational number + a rational number will always be a rational number.

7 0

2 years ago

Plzzz helpppppppppp meeeeeeeeeee

enot [183]

Answer:

254.47 m or B

Step-by-step explanation:

First you find the area of the circle and then you subtract it from the area of the square to get your answer.

Hope it helps c:

8 0

2 years ago

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What is the equation of the following line? Be sure to scroll down first to see all answer options.

Yuri [45]

Answer:

D: y=6x

Step-by-step explanation:

y=mx+b

b=0

y=mx

-3=m * (-1/2)

m=6

y=6x

3 0

3 years ago