All categories

3 years ago

Factor: 2a^2-ab-6b^2

Mathematics

1 answer:

pogonyaev3 years ago

5 0

Rewrite the expression as

$2a^2-4ab+3ab-6b^2$

Factor 2a from the first two terms and 3b from the last two:

$2a(a-2b)+3b(a-2b)$

Factor a-2b

$(a-2b)(2a+3b)$

You might be interested in

Solve for x . 3(2 x - 3) + 4(2 - x ) = 0 17/10 -17/10 1/2

fiasKO [112]

Answer:

x = $\frac{1}{2}$

Step-by-step explanation:

3(2x - 3) + 4(2 - x) = 0 ← distribute parenthesis

6x - 9 + 8 - 4x = 0 , that is

2x - 1 = 0 ( add 1 to both sides )

2x = 1 ( divide both sides by 2 )

x = $\frac{1}{2}$

7 0

2 years ago

A scientist wants to find the average mass of fish living in a large pond. So she will use the masses of a sample of fish from t

Oxana [17]

The scientist would use milligrams, grams, and kilograms.

The best procedure would be to randomly pick 52 fish from the entire pond and weigh each of them as this would be the most unbiased way to achieve the average mass

6 0

2 years ago

At the beginning of an experiment, the temperature of a solution was 48°C. During a 6-hour

ExtremeBDS [4]

9514 1404 393

Answer:

-2.2(6) +1.8(4) . . . temperature change
42 °C

Step-by-step explanation:

At the end of the first 6 hours, the temperature change was ...

(-2.2 K/h)(6 h) = -13.2 K

The change in the next 4 hours was ...

(1.8 K/h)(4 h) = 7.2 K

Then the total change over the 10-hour period was ...

(-2.2)(6) +(1.8)(4) . . . . . expression for temperature change

This evaluates to -13.2 +7.2 = -6.

The final temperature is the sum of the initial temperature and the temperature change:

final temperature = 48 °C -6 °C = 42 °C

_____

Additional comment

When temperature is measured on the Celsius scale, a change of 1 degree is called a kelvin (K).

8 0

3 years ago

An object at the top of a building with height 110 feet is thrown upward with an initial speed of 23 ft/s. Find its position z(t

alina1380 [7]

Answer:

Step-by-step explanation:

Given

Height of building is $h=110\ ft$

Initial upward velocity $u=23\ ft/s$

height of object is given by

$z(t)=ut+\frac{1}{2}gt^2$

but building is already at a height of 110 ft so z(t) must be given by

$Z(t)=ut+\frac{1}{2}(-g)t^2+110$

$Z(t)=23\times t-\frac{1}{2}\times 9.8\times t^2$

$Z(t)=-16t^2+23t+110$

Time when it hits is given by when Z(t)=0[/tex]

$-16t^2+23t+110=0$

$t=\frac{-23\pm \sqrt{(23)^2-4\times (-16)\times 110}}{2\times (-16)}$

$t=\frac{-23\pm 87}{-32}$

$t=3.43\ s$

6 0

3 years ago

a pitcher of fruit punch holds 2 gallons, if 9 people share the entire pitcher equally , how much punch does each person get

Shkiper50 [21]

18 ? am not really sure tho its kinda difficult lol

4 0

3 years ago

Read 2 more answers