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2 years ago

3x-5)(x2+2x+1) Please show working

Mathematics

2 answers:

Lerok [7]2 years ago

8 0

Answer:

3x^3 + x^2 -7x - 5

Step-by-step explanation:

SOOOOOOO you use the distributive property and multiply by each term.

Lyrx [107]2 years ago

8 0

Answer:

3x^3 + x^2 -7x -5

Step-by-step explanation:

(3x-5)(x^2+2x+1) you multiply and then add to get to 3x^3 + x^2 -7x -5.

*For example (x+2)(x+3) will be x^2+5x+6 The same logic is applied.

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If y varies directly as (x+3) and inversely as (x-3) and y=21 when x=4, what is the equation for y in terms of x?

igor_vitrenko [27]

$\bf \qquad \qquad \textit{double proportional variation}
\\\\
\begin{array}{llll}
\textit{\underline{y} varies directly with \underline{x}}\\
\textit{and inversely with \underline{z}}
\end{array}\implies y=\cfrac{kx}{z}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\$

$\bf \textit{\underline{y} varies directly as (x+3) and inversely as (x-3)}\implies y=\cfrac{k(x+3)}{x-3}
\\\\\\
\textit{we also know that }
\begin{cases}
y=21\\
x=4
\end{cases}\implies 21=\cfrac{k(4+3)}{4-3}\implies 21=\cfrac{k(7)}{1}
\\\\\\
\cfrac{21}{7}=k\implies 3=k\qquad thus\qquad \qquad \boxed{y=\cfrac{3(x+3)}{x-3}}$

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3 years ago

Ship has 15 barrels of salty fish 12 barrels of salted pork and nine crates of biscuits if they follow the cooks menu when they

Arada [10]

Answer:

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Step-by-step explanation:

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3 years ago

Into a triangle, with a base of 30cm and height of 10cm, has been drawn a right triangle (90°), such that it's hypotenuse is par

zavuch27 [327]

Answer:

31.62

Step-by-step explanation:

If we know it's a right triangle, we can use the Pythagorean Theorem to solve this problem.

10^2 + 30^2 = 1000

Find the square root of 1000 and get your answer of 31.62.

Hope this Helps!

Good Luck!

<em>-kiniwih426</em>

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2 years ago

A boat is moored at a dock, as shown in the figure.

Mamont248 [21]

Answer: 12.3 ft.

Step-by-step explanation:

In the given picture we can see there is a right triangle with hypotenuse 15 ft.

Using trigonometry in the given right triangle, we have

$\cos35^{\circ}=\frac{\text{Side adjacent to}\ 35^{\circ}}{\text{Hypotenuse}}\\\\\Rightarrow\ 0.81915204428=\frac{A}{15}\\\\\Rightarrow\ A=0.81915204428\times15\\\\\Rightarrow\ A=12.2872806642\approx12.3\ ft.$

Hence, the length of rope A = 12.3 ft.

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2 years ago

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djverab [1.8K]

Answer:

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