All categories

3 years ago

A function follows the rule y = -75 - 5x. When the function's output is 25, the equation is 25 = -75 - 5x.

Mathematics

1 answer:

brilliants [131]3 years ago

7 0

Answer:

x = 20

Step-by-step explanation:

hmu for more information

You might be interested in

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

1 year ago

LenKa [72]

The answer would be C because they say if 3 new students arrived each year.

4 0

2 years ago

The vertex form of the equation of a parabola is y=(x-5)+16. what is the standard form of the equation

kakasveta [241]

Answer:

x − y = − 11

Step-by-step explanation:

4 0

2 years ago

The endpoints of a side of rectangle ABCD in the coordinate plane are at A(2, 7) and

FromTheMoon [43]

Answer:

ole los caracoles con mi amiga

Step-by-step explanation:

jeja

8 0

3 years ago

Lincoln High schools basket ball team won the regional playoffs scoring a total of 60 points, not including free throws. The tea

CaHeK987 [17]

Answer: 18

Step-by-step explanation:

Let x be the number of 2 point baskets made and y be the number of 3 point baskets made

1) x + y = 26

2) 2x + 3y = 60

solve equation 1 for x and substitute in equation 2

x = 26 - y

2(26 - y) +3y = 60

52 -2y +3y = 60

y = 8

x = 26 - 8 = 18

******************************

The team made 18 2-point shots

5 0

2 years ago