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3 years ago

A garden table and a bench cost S846 combined.The garden table costs $54 less than the bench.What is the cost of the bench?

Mathematics

2 answers:

vovangra [49]3 years ago

7 0

Answer:

$450

Step-by-step explanation:

x+x-54=846

x+x-54+54=846+54

2x=900

x=450 (cost of bench)

x-54=396 (cost of table)

Aneli [31]3 years ago

4 0

Answer:

The bench costs 450

Step-by-step explanation:

Let t = cost of the table

b = cost of bench

t+b = 846

t = b-54

t+b =846

Substituting t = b-54 into the above equation

b-54 +b =846

Combine like terms

2b -54 = 846

Add 54 to each side

2b-54+54 = 846 +54

2b =900

Divide by 2

2b/2 = 900/2

b =450

The bench costs 450

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The length, width, and height of a rectangular box are represented by 2x, 3x + 1, and 5x - 6, respectively. When the volume is e

natali 33 [55]

Answer:

The coefficient of the 2nd term is - 26

Step-by-step explanation:

Standard form of polynomial means its terms are ordered from greatest exponent to smallest exponent

The leading coefficient in polynomial is the coefficient of the first term in a polynomial in standard form

∵ The length, width, and height of a rectangular box are

represented by 2x, 3x + 1, and 5x - 6

∴ l = 2x , w = 3x + 1 , h = 5x - 6

The formula of the volume of a rectangular box is V = l × w × h

∵ V = 2x(3x + 1)(5x - 6)

- multiply the two brackets at first

∵ (3x + 1)(5x - 6) = (3x)(5x) + (3x)(-6) + (1)(5x) + (1)(-6)

∴ (3x + 1)(5x - 6) = 15x² + (-18x) + 5x + (-6)

- Add the like terms

∴ (3x + 1)(5x - 6) = 15x² + (-18x + 5x) + (-6)

∴ (3x + 1)(5x - 6) = 15x² + (-13x) + (-6)

- Remember (-)(+) = (-)

∴ (3x + 1)(5x - 6) = 15x² - 13x - 6

Substitute it in V

∴ V = 2x(15x² - 13x - 6)

- Multiply each term in the bracket by 2x

∴ V = 2x(15x²) - 2x(13x) - 2x(6)

∴ V = 30x³ - 26x² - 12x ⇒ in standard form

∵ The second term in the polynomial is - 26x²

∴ Its coefficient is - 26

∴ The coefficient of the 2nd term is - 26

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3 years ago

WILL GIVE BRAINLIST

borishaifa [10]

Answer:

option: C is correct.

Step-by-step explanation:

since, we are given a parent function f(x) as: f(x)=x.

We are asked to find what change will occur in the function when the parent function f(x) is replaced by f(9x).

let g(x) be the function formed by replacing f(x) with f(9x) i.e.

g(x)=f(9x)=9x.

clearly the slope of the function g(x)=f(9x) is 9. ( since on comparing the equation with the slope intercept form y=mx+c; where m is the slope of the line and c is the y- intercept).

whereas the slope of the function f(x)=x is 1.

Hence there is an increment of slope by a factor of 9.

Hence, option C is correct.

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Veseljchak [2.6K]

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Step-by-step explanation:

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4 years ago

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yuradex [85]

Answer:

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Step-by-step explanation:

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5 0

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Volgvan

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4 years ago

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