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3 years ago

A plane intersects this rectangular prism perpendicular to the prism’s base.

1 answer:

4 0

A rectangle, presumably, as the cross section is going to be whatever shape the outward faces are (in the case of a vertical cross section like this one)

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What is the factored form of 64g^3+8?

amid [387]

64 = 4 x 4 x 4 g^3 = g x g x g the problem is the sum of of 2 cubes 8 = 2 x 2 x 2 so the factored form is - a3+b3=(a+b)(a2−ab+b2).

7 0

3 years ago

What is -3/2x |x-22| +33

bogdanovich [222]

Answer:

Find the domain by finding where the expression is defined. The range is the set of values that correspond with the domain.

Domain: (−∞,0)∪(0,∞),{x|x≠0}(-∞,0)∪(0,∞),{x|x≠0}

Range: ,{x|}

6 0

2 years ago

Solve the following in-equations and graph the solution on the number line

OverLord2011 [107]

Answer:

Step-by-step explanation:

$\frac{x-4}{3}$ ≥ - 2

x - 4 ≥ - 6

x ≥ - 2

x ∈ [ - 2 , ∞ )

2 - 6x < 32

- 6x < 30

x > - 5

x ∈ ( - 5 , ∞ )

6 0

2 years ago

Explain why the expression 9x^3+1/2x^2+3x^-1 is not a polynomial

Nastasia [14]

Answer:

The given expression can't be expressed in polynomial form. Hence, it is not a polynomial.

Step-by-step explanation:

P(x,n) is a polynomial of nth degree if it is of the form,

P(x,n) = $a_{0} + a_{1}x + a_{2}x^{2} + a_{3}x^{3} + ......... +a_{n}x^{n}$

where n is a finite positive integer and n ∈ N

and ' $a_{i}$ 's are fixed but otherwise arbitrary constants ∀ i = 0(1)n .

Now, the given expression is,

$9x^{3} + \frac {1}{2x^{2}} + 3x^{-1}$

which doesn't fit in the above form. Hence, it is not a polynomial.

4 0

3 years ago

a car purchased for $34,000 is expected to lose value, or depreciate, at a rate of 6% per year.using x for years and y for the v

Vika [28.1K]

Answer:

$y = 34000(1-0.06) ^ t$

After 7.40 years it will be worth less than 21500

Step-by-step explanation:

This problem is solved using a compound interest function.

This function has the following formula:

$y = P(1-n) ^ t$

Where:

P is the initial price = $ 34,000

n is the depreciation rate = 0.06

t is the elapsed time

The equation that models this situation is:

$y = 34000(1-0.06) ^ t$

Now we want to know after how many years the car is worth less than $ 21500.

Then we do y = $ 21,500. and we clear t.

$21500 = 34000(1-0.06) ^ t\\\\log(21500/34000) = tlog(1-0.06)\\\\t = \frac{log(21500/34000)}{log(1-0.06)}\\\\t = 7.40\ years.$

After 7.40 years it will be worth less than 21500

3 0

3 years ago