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3 years ago

Product of (x – 3)(2x + 1)?

Mathematics

1 answer:

Arada [10]3 years ago

3 0

Answer:

If you need the expression: 2x^2-5x-3

If you need answers from a factored form: x=3 and x= -1/2

Step-by-step explanation:

(x-3)(2x+1)

2x^2+x-6x-3

2x^2-5x-3

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Answer the question below please

DaniilM [7]

The correct answer is : of those planning to not to go on vacation, more of them are women.

The correct answer is (C)

<h3>What is probability?</h3>

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event

Given: total people asked =145

The first option is not correct because plan to go on vacation women are more than men.

The second option is also incorrect because more women were asked than men.

The third option is correct because out of planning who were not going any vacation, women are more than of men.

The fourth option is incorrect because More men plan to go on vacation.

Learn more about probability here:

brainly.com/question/11234923

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5 0

2 years ago

What is 1/3 x²+2 x=3

allsm [11]

5. if x=3 then replace x with 3. 3^2 is 9, 1/3 of 9 is 3, 3+2 = 5

3 0

3 years ago

Jade used 3/4

Mashcka [7]

Answer:

Yes she can

Step-by-step explanation:

3/4 = 0.75

1 4/5= 1.8

0.75 x 2 = 1.5 which is less that 1.8 so she can

6 0

3 years ago

Simplify the expression completely.<br> -3V24 - V.

Maru [420]

Answer:

-V (3 V^23 + 1)

Step-by-step explanation:

Simplify the following:

-3 V^24 - V

Factor -V out of -3 V^24 - V:

Answer: -V (3 V^23 + 1)

5 0

4 years ago

A 500-gallon tank initially contains 220 gallons of pure distilled water. Brine containing 5 pounds of salt per gallon flows int

Wittaler [7]

Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.

Step-by-step explanation:

Salt in the tank is modelled by the Principle of Mass Conservation, which states:

(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)

Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = \frac{d(V_{tank}(t) \cdot c(t))}{dt}$

By expanding the previous equation:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt} + \frac{dV_{tank}(t)}{dt} \cdot c(t)$

The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:

$V_{tank} = 220\\\frac{dV_{tank}(t)}{dt} = 0$

Since there is no accumulation within the tank, expression is simplified to this:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt}$

By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:

$V_{tank} \cdot \frac{dc(t)}{dt} + f_{out} \cdot c(t) = c_0 \cdot f_{in}$ , where $c(0) = 0 \frac{pounds}{gallon}$ .

$\frac{dc(t)}{dt} + \frac{f_{out}}{V_{tank}} \cdot c(t) = \frac{c_0}{V_{tank}} \cdot f_{in}$

The solution of this equation is:

$c(t) = \frac{c_{0}}{f_{out}} \cdot ({1-e^{-\frac{f_{out}}{V_{tank}}\cdot t }})$

The salt concentration after 8 minutes is:

$c(8) = 0.166 \frac{pounds}{gallon}$

The instantaneous amount of salt in the tank is:

$m_{salt} = (0.166 \frac{pounds}{gallon}) \cdot (220 gallons)\\m_{salt} = 36.52 pounds$

3 0

3 years ago