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3 years ago

What is the difference of the two polynomials? (7y2 + 6xy) – (–2xy + 3)

Mathematics

2 answers:

Brut [27]3 years ago

7 0

Step-by-step explanation:

(7y² + 6xy) - (-2xy + 3)

⇒ (-1 * -2xy) + (-1 * 3) = 2xy - 3

7y² + 6xy + 2xy - 3

7y² + 8xy - 3

e-lub [12.9K]3 years ago

6 0

Answer:

Step-by-step explanation:

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Find the slope of the line. (4, - 19), (1. - 1)

Neko [114]

Answer:

Step-by-step explanation:

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2 years ago

A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t

11Alexandr11 [23.1K]

Answer:

Question 1: $dm/dt=0.2m$

Question 2: $m=Ae^{(0.2t)}$

Question 3: $m=10e^{(0.2t)}$

Question 4: $m=10g$

Explanation:

Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m

a) By definition: $m'=dm/dt$

b) Given: $rate=0.2m$

c) By substitution: $dm/dt=0.2m$

Question 2: Find the general solution of this equation. Use A as a constant of integration.

a) Separate variables

$dm/m=0.2dt$

b) Integrate

$\int dm/m=\int 0.2dt$

$ln(m)=0.2t+C$

c) Antilogarithm

$m=e^{0.2t+C}$

$m=e^{0.2t}\cdot e^C$

$e^C=A\\\\m=Ae^{(0.2t)}$

Question 3. Which particular solution matches the additional information?

Use the measured rate of 4 grams per hour after 3 hours

$t=3hours,dm/dt=4g/h$

First, find the mass at t = 3 hours

$dm/dt=0.2m\\\\4=0.2m\\\\m=4/0.2\\\\m=20g$

Now substitute in the general solution of the differential equation, to find A:

$m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976$

Round A to 1 significant figure:

A = 10.

Particular solution:

$m=10e^{(0.2t)}$

Question 4. What was the mass of the bacteria at time =0?

Substitute t = 0 in the equation of the particular solution:

$m=10e^{0}\\\\m=10g$

3 0

2 years ago

Y = 2x - 3 What is the y intercept

vfiekz [6]

Answer:

Y-intercept = -3

Step-by-step explanation:

This equation is written in Slope Intercept Form or y = mx+b Form, where b represents the y-intercept and m represents the slope of the equation.

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1 year ago

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What is the solution to the following system of equations? x+2y=2 x-2y=-2

Tcecarenko [31]

All in all you would get the answer x+y=1.

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3 years ago

How do I work this problem out? 7/8-1/4

Tems11 [23]

7/8 - 1/4 = 7/8 - 2/8 = 5/8

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3 years ago

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