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3 years ago

What is the domain of the step function f(x) = [2x] – 1?

Mathematics

2 answers:

omeli [17]3 years ago

6 0

You have troubles with domains only if you have:

Denominators
Roots with an even degree
Logarithms

In this case, you have neither of these three, so you can compute your function wherever you want. The domain is all real numbers.

Leya [2.2K]3 years ago

4 0

Answer:

d all real numbers......:)

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In which quadrant does a -285 angle lie

attashe74 [19]

Answer:

first quadrant ( I Quadrant)

3 0

3 years ago

Davis is putting tile in his rectangular kitchen. His kitchen is 13 feet long, and 17 feet wide. The tile davis is installing is

Fofino [41]

Answer:

It will cost is $828.75.

Step-by-step explanation:

Given:

Davis is putting tile in his rectangular kitchen. His kitchen is 13 feet long, and 17 feet wide. The tile davis is installing is $3.75 per square foot.

Now, to find the total cost.

Davis is putting tile in his rectangular kitchen.

Length = 13 feet.

Width = 17 feet.

So, to get the area of kitchen:

Area = length × width

Area = 13 × 17

Area = 221 square foot.

As, the unit rate is given.

Cost per square foot = $3.75.

Now, to get the total cost by using unitary method:

If cost of 1 square foot = $3.75.

So, the cost of 221 square foot = $3.75 × 221

= $828.75.

Therefore, it will cost $828.75.

3 0

3 years ago

If n lines are drawn in a plane, how many regions do they separate the plane into? induction

grandymaker [24]

Hello,

Let's assume i the number of lines,
u(i) the number of regions:

$u_0=1\\\\
u_1=2=1+1=1+u_0\\\\
u_2=4=2+u_1\\\\
u_3=7=3+u_2\\\\
u_4=11=4+u_3\\\\
u_5=16=5+u_4\\\\
...\\\\
\boxed{u_{n+1}=(n+1)+u_{n}}\\\\

u_{n+1}=(n+1)+n+(n-1)+...+1+u_0\\\\

\boxed{u_{n+1}= \dfrac{(n+1)*(n+2)}{2}+1 }$

6 0

3 years ago

In rectangle ABCD with side AD = 6 cm, point M is the midpoint of side

SpyIntel [72]

The triangle that is formed by AMB is a 45 45 90 triangle, so meaning the legs are equal. so in can be concluded that AD = MD, since M is the midpoint of CD, then CD = 2AD
CD = 2(6) = 12 cm

so the perimeter is of the rectangle ABCD is
P = 2l + 2w
P = 2(6) + 2(12)
P = 12 + 24
P = 26 cm

7 0

3 years ago

Read 2 more answers

n^2-2n-3 where n is the number of key rings in thousands, find the number of key rings sold when the profits is $5,000

ArbitrLikvidat [17]

Answer:

For the profit of $5,000, the key chains made is n = 4,000.

Step-by-step explanation:

Here the given expression , where: n = Number of key rings in thousands is given as:

P(n) = n²- 2 n - 3

Now, Profit is given to be $5,000.

Also, as we know 5000 = 5 x (1,000)

⇒ n²- 2 n - 3 = 5

Now, solving the above expression for the value of n, we get:

$n^2 - 2 n - 3 = 5\\\implies n^2 -2n - 8 = 0\\\implies n^2 -4n + 2n - 8 = 0\\\implies n(n-4) + 2(n-4) = 0\\\implies (n-4) (n+2) = 0$

So, n = 4, OR , n = -2

Now, as n = The number of key chains. So it CANNOT BE NEGATIVE.

So, n= 4 = 4 x (1,000) = 4,000 key rings.

Hence, for the profit of $5,000, the key chains made is n = 4,000.

8 0

3 years ago