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3 years ago

What is the simplest form of this expression? (2x-3)(3x^2+2x-1)

Mathematics

1 answer:

Keith_Richards [23]3 years ago

3 0

Answer:

6x^3-5x^2-8x+3

Step-by-step explanation:

(2x-3)(3x^2+2x-1)

6x^3+4x^2-2x-9x^2-6x+3

6x^3+4x^2-9x^2-2x-6x+3

6x^3-5x^2-8x+3

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The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of wate

WITCHER [35]

Answer:

a) -900 L/min

b) 63000 L

c) v = -900t +63000

d) 7200 L

Step-by-step explanation:

a) You are given two points on the curve of volume vs. time:

(t, v) = (20, 45000) and (70, 0)

The rate of change is ...

Δv/Δt = (0 -45000)/(70 -20) = -45000/50 = -900 . . . . liters per minute

b) In the first 20 minutes, the change in volume was ...

(20 min)(-900 L/min) = -18000 L

So, the initial volume was ...

initial volume -18000 = 45000

initial volume = 63,000 . . . . liters

c) Since we have the slope and the intercept, we can write the equation in slope-intercept form:

v = -900t +63000

d) Put the number in the equation and do the arithmetic.

When t=62, the amount remaining is ...

v = -900(62) +63000 = -55800 +63000 = 7200

7200 L remain after 62 minutes.

6 0

3 years ago

.<br> 1.<br> f(x) = -2lx- 3| +1<br><br> How do I graph this?

ira [324]

Answer:

See explanation

Step-by-step explanation:

f(x) = -2lx-3| +1

1.lx-3|==>Translate the basic absolute value graph f(x)=|x| 3 units to the right

2. -lx-3| ==> Flip the graph over the x-axis

3. -2lx-3| ==> Double all the y-coordinates of the graph

4. -2lx-3| +1 ==> Translate the graph 1 unit up

4 0

2 years ago

Read 2 more answers

Riya and her friends want to rent a flat. They want the flat to be lower than the 5th floor. They want a flat that costs between

abruzzese [7]

Answer:

They want the flat to be lower than the 5th floor. They want a flat that costs between £875 and £925 per month. Riya finds information about flats to rent.

Step-by-step explanation:

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don't be sure about it

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2 years ago

A cement walkway of uniform width has been built around an in-ground rectangular pool. the area of the walkway is 1344 square fe

Elza [17]

Answer:

6 feet.

Step-by-step explanation:

Dimensions of the Pool =80 feet long by 20 feet wide

Area of the walkway =1344 square feet.

If the width of the walkway=w

Length of the Larger Rectangle =80+2w
Width of the Larger Rectangle =20+2w

Area of the Walkway =Area of the Larger Rectangle - Area of the Pool

$1344=(80+2w)(20+2w)-(80*20)\\1344=80*20+160w+40w+4w^2-80*20\\4w^2+200w=1344\\4w^2+200w-1344=0\\We factorize\\4(w^2+50w-336)=0\\4(w^2-6w+56w-336)=0\\w(w-6)+56(w-6)=0\\(w-6)(w+56)=0\\w-6=0$ or $ w+56=0\\w=6$ ft or $ w=-56$ \\Therefore, the width of the walkway , w=6 feet.$

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3 years ago

8-2x<4 solve inequality

Andreas93 [3]

Answer:

x > 2

x ∈ ( +2 ; + oo )

Step-by-step explanation:

8 - 2x < 4

8 - 4 < 2x

4 < 2x | : 2

2 < x

x > 2

x ∈ ( +2 ; + oo )

6 0

3 years ago