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4 years ago

Perform the indicated operation (3x^3-2x^2+4x-3)(x+2)

Mathematics

1 answer:

Rus_ich [418]4 years ago

7 0

Answer:

3x^{4} + 4x³ + 5x - 6

Step-by-step explanation:

Given in the question is an expression

(3x³ - 2x² + 4x - 3)(x + 2)

Apply distributive law

(3x³ - 2x² + 4x - 3)(x) + (2)(3x³ - 2x² + 4x - 3)

3 $x^{4}$ - 2x³ + 4x² -3x + 6x³ - 4x² + 8x - 6

Rearrange the like terms

3 $x^{4}$ + x³(-2+6) +x²(4-4) +x(-3+8) - 6

3 $x^{4}$ + 4x³ + 5x - 6

After performing indicated operation the result is

$3x^{4}+4x^{3}+5x-6$

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there are 453.592 grams in one pound. A semi-slick, Kevlar tire weighs about 520 grams. what is the tires weight in pounds?

vredina [299]

All you have to do is divide 520 by 453.592. If you do this, your answer is 1.1464 pounds. If you have to round to hundredths, your answer is 1.15 pounds. If you have to round to tenths, your answer is 1.1 pounds.

3 0

4 years ago

A ball is launched at 30 meters per second (m/s) from a 20-meter tall platform. The equation for the object's height s at time t

Juliette [100K]

The maximum height the ball reaches is 65.92 m.

The time taken for the ball to reach the maximum height is 3.06 seconds.

The time taken for the ball to hit the ground is 6.12 seconds.

<h3>maximum height the ball reaches</h3>

The maximum height the ball reaches is calculated as follows;

s(t) = -4.9t² + 30t + 20

at maximum height, final velocity = 0

v = 0

ds/dt = -9.8t + 30 = 0

9.8t = 30

t = 30/9.8

t = 3.06 seconds

s(3.06) = -4.9(3.06)² + 30(3.06) + 20

s(3.06) = 65.92 m

Thus, the time taken for the ball to reach the maximum height is 3.06 seconds.

<h3>Time of flight of the ball</h3>

The time taken for the ball to hit is the total time of flight = 2 x 3.06 seconds = 6.12 seconds.

Thus, the maximum height the ball reaches is 65.92 m.

The time taken for the ball to reach the maximum height is 3.06 seconds.

The time taken for the ball to hit the ground is 6.12 seconds.

Learn more about maximum height here: brainly.com/question/12446886

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4 0

2 years ago

(4x^2y^3)^2 simplify

choli [55]

(4x^2y^3)^2 = 16x^4y^6

Answer

16x^4y^6

5 0

3 years ago

Please I need help on this question.

Juli2301 [7.4K]

Answer:

126mm

Step-by-step explanation:

To find the diameter of the circle = circumference divided by pi = 56.52/3.14=18mm.

There are 4 circles = 18mmx4=72mm

Add on the 3x strips = 72+(18x3) = 126mm.

Hope this helps

3 0

3 years ago

Bruce has a rope that is 21 feet long he needs to cut the rope into 1/5 long peices. How many strips can Bruce cut from his rope

dybincka [34]

Bruce has a rope that is 21 feet long he needs to cut the rope into 1/5 long pieces.

The length of the rope = 21 feet

the length of each strip = $\frac{1}{5}$

We need to cut the rope 21 feet into $\frac{1}{5}$ strips

To find the number of strips we divide 21 feet by the length of the strip

$\frac{21}{\frac{1}{5}}$ = $21 * \frac{5}{1}$ = 105

105 strips can Bruce cut from his rope.

7 0

4 years ago

Read 2 more answers