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3 years ago

The difference between forty two and three time a number “n”

Mathematics

1 answer:

kotegsom [21]3 years ago

4 0

Answer:

$42-3n$

Step-by-step explanation:

The difference between forty two and three time a number “n” as an expression would be written as 42-3n.

Difference represents subtraction.

Three times a number is a number multiplied by 3. (3n)

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If s(x)=x-7 and t(x) =4x^2+3 which expression is equivalent to (t×s)(x)

marshall27 [118]

Answer:

$\large\boxed{(t\times s)(x)=4x^3-28x^2+3x-21}$

Step-by-step explanation:

$s(x)=x-7\\t(x)=4x^2+3\\\\(t\times s)(x)=t(x)\times s(x)\\\\\text{Substitute:}\\\\(t\times s)(x)=(4x^2+3)(x-7)\\\\\text{use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(t\times s)(x)=(4x^2)(x)+(4x^2)(-7)+(3)(x)+(3)(-7)\\\\=4x^3-28x^2+3x-21$

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4 years ago

Can someone solve this

77julia77 [94]

Answer:

A ≈ 269.81 cm²

Step-by-step explanation:

This shape is a hexagon (it has 6 sides) so let's use the formula for the area of a hexagon.

A = $\frac{3\sqrt{3} }{2} s^{2}$

Where s is the length of the sides

Substitute:

A = $\frac{3\sqrt{3} }{2} s^{2}$

A = $\frac{3\sqrt{3} }{2} 10^{2}$

Solve:

A = $\frac{3\sqrt{3} }{2} 10^{2}$

A = $\frac{3\sqrt{3} }{2} 100$

Multiply the numerator:

A = $\frac{3\sqrt{3} }{2} 100$

A ≈ $\frac{5.12 }{2} 100$

(The numerator reflects a rounded number, but the actual calculations are exact)

Divide the fraction:

A ≈ $\frac{5.12 }{2} 100$

A ≈ 2.6(100)

Multiply:

A ≈ 2.6(100)

A ≈ 269.81 cm²

Therefore, the area is approximately 269.82 cubic centimeters.

6 0

3 years ago

Work out the percentage change to 2 decimal places when a price of £12 is increased to £15.99

gulaghasi [49]

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3 years ago

Find 3 consecutive numbers that equal 45

tatyana61 [14]

Answer:

14,15,16

Step-by-step explanation:

Let x be the first number

Consecutive means in a row

x+1 is the second number

x+2 is the third number

x+ x+1 + x+2 = 45

Combine like terms

3x+3 = 45

Subtract 3 from each side

3x+3-3=45-3

3x = 42

Divide each side by 3

3x/3 = 42/3

x =14

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The second number is 14+1 = 15

The third number is 14+2 =16

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Step-by-step explanation:

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