All categories

2 years ago

Find the product of 2x2 + 3x - 6 and 4x3 - x + 7.

Mathematics

1 answer:

yanalaym [24]2 years ago

5 0

Answer:

8x^5 + 12x^4 - 26^3 + 11x^2 + 27x - 42

Step-by-step explanation:

(2x^2 + 3x - 6)(4x^3 - x + 7)

8x^5 -2x^3 +14x^2 + 12x^4 - 3x^2 + 21x -24x^3 + 6x - 42

8x^5 + 12x^4 - 26^3 + 11x^2 + 27x - 42

You might be interested in

A piece of machinery depreciates $5000 the first year,

eimsori [14]

Answer:

A- $3500

Step-by-step explanation:

The depreciation rate is $300

$5000, $4700, $4400

$300 x 3 = 900

$4400 - 900 =

$3500.

4 0

3 years ago

What is the solution for the equation StartFraction 5 Over 3 b cubed minus 2 b squared minus 5 EndFraction = StartFraction 2 Ove

wolverine [178]

Answer:

The solutions are:

$b=0,\:b=4$

Step-by-step explanation:

Considering the expression

$\frac{5}{3b^3-2b^2-5}=\frac{2}{b^3-2}$

Solving the expression

$\frac{5}{3b^3-2b^2-5}=\frac{2}{b^3-2}$

$\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c$

$5\left(b^3-2\right)=\left(3b^3-2b^2-5\right)\cdot \:2$

$5b^3-10=6b^3-4b^2-10$

$\mathrm{Switch\:sides}$

$6b^3-4b^2-10=5b^3-10$

$6b^3-4b^2-10+10=5b^3-10+10$

$6b^3-4b^2=5b^3$

$\mathrm{Subtract\:}5b^3\mathrm{\:from\:both\:sides}$

$6b^3-4b^2-5b^3=5b^3-5b^3$

$b^3-4b^2=0$

$Using\:the\:Zero\:Factor\:Principle:$ $if\:\mathrm ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$

So,

$b=0,b-4=0$

$b=0,b=4$

Therefore, the solutions are:

$b=0,\:b=4$

4 0

3 years ago

Read 2 more answers

Please help I’m stuck on this one!

4vir4ik [10]

Answer: The length of JK is 10.5 m

Step-by-step explanation:

Find the circumference C= dπ

C = 12π

C= 37.7

There are 360 degrees in a circle's circumference, so you can find the length of the arc by using the ratio of the arc to the whole circumference.

Multiply the Circumference by 100/360 (or 5/18 × 37.7)

The arc is 10.5 m

3 0

2 years ago

After 50 soccer games, the ratio of wins to losses is 3:7. How many games did the team win? Explain how you found your answer

zalisa [80]

Answer:The team won 15 games

Step-by-step explanation:

Given no of soccer games =50

Ratio of wins to losses =3:7

Let no of wins = $3x$

and no of losses = $7x$

Now

$3x+7x=50$

$10x=50$

Dividing both sides by 10

x=5

So no of wins =3x = $3\times5$

=15

We found the answer as 10 parts equals 50

So 3 parts equals 15

4 0

2 years ago

Monke monke monkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkem

Andrei [34K]

Answer:

mofjph]gd,kdtys

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Find the product of 2x2 + 3x - 6 and 4x3 - x + 7.​

Find the product of 2x2 + 3x - 6 and 4x3 - x + 7.