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2 years ago

5 STARS IF CORRECT! Can you translate a phrase or sentence into symbols? Explain the answer.

Mathematics

1 answer:

VLD [36.1K]2 years ago

4 0

Answer:

See below.

Step-by-step explanation:

It depends on the sentence or phrase. If the sentence includes an operation of numbers or something related to comparing numbers, then maybe it can be translated into symbols. If the sentence or phrase has nothing to do with quantities, or operations or comparison of quantities, then probably it can't.

Examples:

1) The boy went for a walk.

There's nothing to translate into symbols in this case.

2) I had $10 in my bank account, then I deposited n dollars. Now I have $30 in my account.

In this case, I can translate the sentence into an equation.

10 + n = 30

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If f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).

Marina86 [1]

Answer:

$\boxed{\sf (f - g)(x) = 2x - 3}$

Given:

f(x) = 3x - 1

g(x) = x + 2

To Find:

(f - g)(x)

Step-by-step explanation:

$\sf (f -g)(x) = f(x) - g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =(3x - 1) - (x + 2) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3x - 1 - x - 2 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3x - x - 1 - 2 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =(3x - x) - (1 + 2) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =2x - (1 + 2) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =2x - 3$

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2 years ago

What is the area? Bit confused on this one.

DENIUS [597]

Answer:

x² + 8x + 12

Step-by-step explanation:

see

the length of the entire rectangle = x + 6

breadth of the entire rectangle = x + 2

area of a rectangle = length × breadth

= (x + 6)(x + 2)

= x² + 8x + 12

which is the required polynomial in standard form

7 0

2 years ago

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What is the surface area of a cone when the slant height is 6 mm and the diameter is 4 mm?

Anna [14]

Diameter of cone = d = 4mm
So,
Radius of cone = r = 2mm
Slant Height = l = 6mm
Surface Area = A = ?

The formula for the surface area of cone is:

$A= \pi r(r+l)$

Using the values, we get:

$A= \pi (2)(2+6)=16 \pi$ mm²

Therefore, the surface area of the cone with diameter 4mm and slant height of 6mm will be 16π mm²

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3 years ago

Factor out the coefficient of the variable in the expression 1/3b - 1/3

babymother [125]

Answer:

$\dfrac{1}{3} \left (\dfrac{1}{b} - 1 \right )$

Step-by-step explanation:

$f(x) = \dfrac{1}{3b} - \dfrac{1}{3}$

1. Find the least common multiple of the denominators

The least common multiple of 3 and 3 is 3.

2. Factor out ⅓.

$\dfrac{1}{3b} - \dfrac{1}{3} = \mathbf{\dfrac{1}{3} \left (\dfrac{1}{b} - 1 \right )}$

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2 years ago

Which equation is equivalent to 2^4x = 8^x-3

VLD [36.1K]

Answer:

Step-by-step explanation:

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2 years ago

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