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3 years ago

Write the phrase as an expression. the difference of a number t and 9

Mathematics

1 answer:

Scilla [17]3 years ago

4 0

Answer:

$t - 9$

Step-by-step explanation:

Given that t represents a number which is unknown to us, the difference of the number and 9 can be expressed algebraically as:

$t - 9$ .

The difference of t and 9 = $t - 9$ .

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3 years ago

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3 years ago

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Tiana flips a coin 3 times. The coin lands on heads twice and tails once, not necessarily in that order

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3 years ago

Select the correct answer.

Tanya [424]

Answer:

The function f has an inverse because it is one-to-one.

Step-by-step explanation:

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2 years ago

A box with a square base and open top must have a volume of 237276 cm^3. We wish to find the dimensions of the box that minimize

svp [43]

Answer:

$A(x)=\dfrac{x^3+949104}{x}$

Step-by-step explanation:

Given a box with a square base and an open top which must have a volume of 237276 cubic centimetre. We want to find a formula for the surface area of the box in terms of only x, the length of one side of the square base.

Let the side length of the base =x

Let the height of the box =h

Since the box has a square base

Volume,

$V=x^2h=237276\\\\h=\dfrac{237276}{x^2}$

Surface Area of the box = Base Area + Area of 4 sides

$Area, A(x,h)=x^2+4xh$

Substitute h derived above into A(x,h)

$Area=x^2+4x(\frac{237276}{x^2})\\\\A(x)=x^2+\dfrac{949104}{x}\\\\A(x)=\dfrac{x^3+949104}{x}$

Therefore, a formula for the surface area of the box in terms of only x, the length of one side of the square base is:

$A(x)=\dfrac{x^3+949104}{x}$

7 0

4 years ago