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3 years ago

X2+2x-35 How can you simplify 2+48-21

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

6 0

Answer:

x2-2x-35

Final result :

(x + 5) • (x - 7)

Step by step solution :

Step 1 :

Trying to factor by splitting the middle term

1.1 Factoring x2-2x-35

The first term is, x2 its coefficient is 1 .

The middle term is, -2x its coefficient is -2 .

The last term, "the constant", is -35

Step-1 : Multiply the coefficient of the first term by the constant 1 • -35 = -35

Step-2 : Find two factors of -35 whose sum equals the coefficient of the middle term, which is -2 .

-35 + 1 = -34

-7 + 5 = -2 That's it

Step-by-step explanation: 2+48-21

Final Result :

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A tank contains 3,000 L of brine with 15 kg of dissolved salt. Pure water enters the tank at a rate of 30 L/min. The solution is

Shalnov [3]

Answer:

Step-by-step explanation:

Volume of tank is 3000L.

Mass of salt is 15kg

Input rate of water is 30L/min

dV/dt=30L/min

Let y(t) be the amount of salt at any time

Then,

dy/dt = input rate - output rate.

The input rate is zero since only water is added and not salt solution

Now, output rate.

Concentrate on of the salt in the tank at any time (t) is given as

Since it holds initially holds 3000L of brine then the mass to volume rate is y(t)/3000

dy/dt= dV/dt × dM/dV

dy/dt=30×y/3000

dy/dt=y/100

Applying variable separation to solve the ODE

1/y dy=0.01dt

Integrate both side

∫ 1/y dy = ∫ 0.01dt

In(y)= 0.01t + A, .A is constant

Take exponential of both side

y=exp(0.01t+A)

y=exp(0.01t)exp(A)

exp(A) is another constant let say C

y(t)=Cexp(0.01t)

The initial condition given

At t=0 y=15kg

15=Cexp(0)

Therefore, C=15

Then, the solution becomes

y(t) = 15exp(0.01t)

At any time that is the mass.

5 0

3 years ago

Please help, thank you

Aleksandr [31]

Answer:

-5

Step-by-step explanation:

$\frac{-5^5}{(-5)^2 (-5)^2}$
$\frac{-3125}{(-5)^2 (-5)^2}$
$\frac{-3125}{25(-5)^2}$
$\frac{-3125}{(25)(25)}$
$\frac{-3125}{625}$
$-5$

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3 years ago

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miv72 [106K]

If there are 30 flavors and you can have three of them then it is 30^3 who's his 2700 I think that is correct
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3 years ago

Read 2 more answers

Help please i only got 4 minutes

Zinaida [17]

Answer:

just set the 2 equations equal to each other. answer is 7, 13/3

Step-by-step explanation:

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2 years ago

What is the value of x

9966 [12]

ANSWER

x=27

EXPLANATION

The two triangles are similar so the corresponding sides are equal.

$\frac{x}{x +1 8} = \frac{39}{39 + 26}$

$\frac{x}{x +1 8} = \frac{39}{65}$

Cross multiply to get;

$65x = 39(x + 18)$

Expand:

65x=39x+702

Group similar terms:

65x-39x=702

Simplify

26x=102

Divide both sides by 26,

x=702/26

x=27

3 0

3 years ago