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3 years ago

Can someone help me with this problem pls

Mathematics

1 answer:

Talja [164]3 years ago

8 0

A. Slope = 2
b. Slope = 2/3 or 0.66

(Slope = change in y / change in x)

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3. Given this quadratic equation, 2x2 - x - 28 = 0,

JulijaS [17]

Answer:

a) (2x+7)(x-4)

b) x = -7/2 and x = 4

Step-by-step explanation:

a) (2x ?)(x ?)

set up the above and considered factors of 28 that, when paired with 2, would give me -1x and -28 → (1·28, 2·14, 4·7)

after trial-and-error, found that 4 and 7 worked (used un-FOIL)

b) 2x + 7 = 0

2x = -7

x = -7/2

*********

x-4 = 0

x = 4

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2 years ago

How many integers from 1 through a

AysviL [449]

Answer:

sorry but I don't understand

Step-by-step explanation:

please forgive me

comment if I am forgiven

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3 years ago

How do I solve these? Please give an explanation!!

serious [3.7K]

Answer:

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3 years ago

Divide.<br><br> 3 1/2 / 4<br> Write your answer in the simplest form

Gennadij [26K]

Answer:

Step-by-step explanation:

3 1/2/4=3 1/2*4=3 2=9

5 0

3 years ago

Water is pumped into a tank at a rate of r (t)=30(1−e− 0.16t) gallons per minute, where t is the number of minutes since the pum

Vlad1618 [11]

Answer:

The total volume of the water in the tank after 20 minutes = 1220 gallons

Step-by-step explanation:

Rate of water pumped into the tank r (t) = 30 (1 - $e^{-0.16 t}$ )

Initial volume of water in the tank = 800 gallons

The water in the tank after 20 minutes = Initial volume of water in the tank + Volume of water being pumped in the tank

$V_{total} = V_{i} + V_{pump}$

$V_{pump}$ = $\int\limits^a_b {r(t)} \, dt$

Where a = 0 , b = 20

Put the value of r (t) in above equation we get

$V_{pump}$ = $\int\limits^a_b {30 (1 - e^{-0.16t} )} \, dt$

$V_{pump}$ = $30 [ t + \frac{e^{-0.16t} }{0.16} ]$

$V_{pump}$ = $30[ (20- 0) + \frac{1}{0.16}(e^{-0.16 (20)}- e^{0} )$

$V_{pump}$ = 420 gallon

Now, total volume in the tank

$V_{total} = V_{i} + V_{pump}$

$V_{total} = 800 + 420$

$V_{total} = 1220 \ gallon$

Therefore the total volume of the water in the tank after 20 minutes = 1220 gallons

3 0

3 years ago