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3 years ago

Divide using synthetic division (2x3 + 4x² - 5x+2) by (x + 3).

Mathematics

2 answers:

baherus [9]3 years ago

8 0

Answer: Plz mark as brainiest

Step-by-step explanation:

Nikolay [14]3 years ago

4 0

Answer:

The remainder is = 2 and the quotient is = 2 x 2 + 2 x − 1

Step-by-step explanation:

The remainder is = 2

The quotient is

= 2 x 2 + 2 x − 1

Verification, by using the remainder theorem

f ( 3 ) = 54 − 36− 21 + 5 = 59 − 57 = 2

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serious [3.7K]

Answer:

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3 years ago

The area of a rectangle is 30 + 12x. List at least 3 possibilities for the length and width of the rectangle.

Gala2k [10]

Answer:

Below in bold.

Step-by-step explanation:

Area = 30 + 12x and area is also = to width * length so we need to look for factors of 30 + 12x.

30 + 12x = 6(5 + 2x)

So 6 and 5 + 2x is one possible answer.

3 and 10 + 4x is another.

12 and 2.5 + x is another.

If we multiply these pairs together we see that the result is

30 + 12x in each case.

6 0

3 years ago

Using the distributive property, which expression is equivalent to 6(g + 3)?

const2013 [10]

Step-by-step explanation:

Property: $a(b+c)=ab+ac$

Use the Distributive Property:

$6(g+3) =6(g)+6(3)=6g+18$

6g + 18 is an equivalent expression when the distributive property is used.

8 0

3 years ago

A robot can complete up to 8 tasks in 5/6 hour. each task takes the same amount of time.

storchak [24]

$\bf \begin{array}{ccll} tasks&hours\\ \cline{1-2}&\\ 8&\frac{5}{6}\\\\ 1&h \end{array}\implies \cfrac{8}{1}=\cfrac{~~\frac{5}{6}~~}{h}\implies 8=\cfrac{~~\frac{5}{6}~~}{\frac{h}{1}}\implies 8=\cfrac{5}{6}\cdot \cfrac{1}{h} \\\\\\ 8=\cfrac{5}{6h}\implies 48h=5\implies h=\cfrac{5}{48}\\\\[-0.35em] \rule{31em}{0.25pt}$

$\bf \begin{array}{ccll} tasks&hours\\ \cline{1-2}&\\ 8&\frac{5}{6}\\\\ t&1 \end{array}\implies \cfrac{8}{t}=\cfrac{~~\frac{5}{6}~~}{1}\implies \cfrac{8}{t}=\cfrac{5}{6}\implies 48=5t \\\\\\ \cfrac{48}{5}=t\implies 9\frac{3}{5}=t$

7 0

3 years ago

Read 2 more answers

Given: F(x) = x + 2 and G(x) = 3x + 5 (F*G) (x) =

vovangra [49]

Answer:

$\boxed{(f \times g)(x) = 3 {x}^{2} + 11x + 10}$

Given:

$f(x) = x + 2 \\ \\ g(x) = 3x + 5$

To Find:

$(f \times g)(x) = f(x) \times g(x)$

Step-by-step explanation:

$= > f(x) \times g(x) = (x + 2)( 3x + 5) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =x( 3x + 5) + 2(3x + 5) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 {x}^{2} + 5x + 6x + 10\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 {x}^{2} + 11x + 10$

5 0

4 years ago

Read 2 more answers