Can someone help on really stuck

Divide x² +x +1 by x+ 1 by long division method

fiasKO [112]

Answer:

remainder 1...........

7 0

2 years ago

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If m(x) = x+5/x-1 and n(x) = x — 3, have the same domain as (m • n) (x)

Yuri [45]

For this case we have the following functions:

$m (x) = \frac {x + 5} {x-1}\\n (x) = x-3$

By definition we have to:

$(f * g) (x) = f (x) * g (x)$

So:

$(m * n) (x) = m (x) * n (x)\\(m * n) (x) = \frac {x + 5} {x-1} (x-3)\\(m * n) (x) = \frac {(x + 5) (x-3)} {x-1}$

By definition, the domain of a function is given by the values for which the function is defined.

The domain of m(x) is given by all reals except 1.

The domain of n(x) is given by all reals.

While the domain of $(m * n) (x)$ is given by:

All reals, except the 1. With $x = 1$ , the denominator is 0 and the function is no longer defined.

Answer:

Domain of $(m * n) (x)$ is given by all reals except 1.

8 0

3 years ago

Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tre

german

Answer:

Volume of Cone =

$= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3$

Thus, Volume = 16.75 cubic feet

Step-by-step explanation:

Volume of a cone is given by the formula

$V=\frac{1}{3}\pi r^2 h$

Where r is the radius and

h is the height

Given radius r = 2 and

height is 2 times that.

So height is 2*2 = 4

Plugging these into the formula we get:

Volume of Cone =

$= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3$

Thus, Volume = 16.75 cubic feet

8 0

3 years ago

A supervisor finds the mean number of miles that the employees in a department live from work. Which mileage is within a z-score

Vikentia [17]

The z-score tells you how many standard deviations from the mean.

1.5 * 3.6 = 5.4 miles 

So anything within 5.4 miles of the average (29). 

The range would be: 
29 - 5.4 = 23.6 
to: 
29 + 5.4 = 34.4 

23.6 ≤ x ≤ 34.4 

Answer: 
B) 24 miles

7 0

3 years ago

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Can anybody help me?

lakkis [162]

You know that 6x+3 equals 45 because the two sides are equal. So you first put the equation 6x+3=45. Then you use the subtraction property of equality and subtract 3 from both sides. This gives you 6x=42. Then you divide 6 from both sides to get you final answer, x=7

8 0

3 years ago