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3 years ago

W(x)=x+4; find w(xt4)

Mathematics

1 answer:

shusha [124]3 years ago

7 0

Answer: W(x + 4) = x + 8

Step-by-step explanation:

I am assuming the "t" is supposed to be an addition sign "+"

w(x + 4) means to replace all of the x's in the given function with x + 4

W(x) = x + 4

W(x + 4) = (x + 4) + 4

= x + 8

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3 years ago

Simplify. (x6 y3)(−8xy2)(−6x3)

meriva

When simplifying this, we would have to take this little by little in serious steps and not only this, but to also take notice of the use of pemdas and to make sure that we take each step carefully.

We first would (first) simplify the following:

$(((x^6)*(y^3))*(0-(8x*(y^2))))*(0-(2*3x^3)) \\ \\ then \ we \ would \ do . . . . \\ \\ x^7 \ multiplied \ by \ x^3 \ = x^(^7^ +^ 3^) = \ x^1^0 \\ \\ (last \ step).... \\ \\ 2^3 \ multiplied \ by \ 2^1 = 2^(^3^ +^ 1^) = 2^4 \\ \\ \Longrightarrow \ (your \ answer) \\ \\ \boxed{\bf{ (2^4*3x^1^0y^5)}}$

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4 years ago

When Stacey’s son,Kevin, solves the problem,he changed the equation from part C to one that didn’t have any fractions. In other

dlinn [17]

Answer:

To get rid of the 2 in the denominator of 9/2 multiply both sides of the equation by 2 or 2/1. to get rid of the 24 in the denominator of x/24, multiply both sides the equation by 24 or 24/1

Step-by-step explanation:

Hope this helps :)

8 0

3 years ago

Among the thirty largest U.S. cities, the mean one-way commute time to work is 25.8 minutes. The longest one-way travel time is

nydimaria [60]

Answer:

(1) 4.09% of the New York City commutes are for less than 26 minutes.

(2) 14.32% are between 26 and 32 minutes.

(3) 54.23% are between 26 and 40 minutes.

Step-by-step explanation:

We are given that the longest one-way travel time is in New York City, where the mean time is 38.5 minutes.

Assume the distribution of travel times in New York City follows the normal probability distribution and the standard deviation is 7.2 minutes.

Let X = travel times in New York City.

So, X ~ Normal( $\mu=38.5,\sigma^{2} =7.2^{2}$ )

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean travel time = 38.5 minutes

$\sigma$ = standard deviation = 7.2 minutes

(1) The percent of the New York City commutes that are less than 26 minutes is given by = P(X < 26 minutes)

P(X < 26 minutes) = P( $\frac{X-\mu}{\sigma}$ < $\frac{26-38.5}{7.2}$ ) = P(Z < -1.74) = 1 - P(Z $\leq$ 1.74)

= 1 - 0.9591 = 0.0409 = 4.09%

The above probability is calculated by looking at the value of x = 1.74 in the z table which has an area of 0.9591.

(2) The percent of the New York City commutes that are between 26 and 32 minutes is given by = P(26 min < X < 32 min) = P(X < 32 min) - P(X $\leq$ 26 min)

P(X < 32 min) = P( $\frac{X-\mu}{\sigma}$ < $\frac{32-38.5}{7.2}$ ) = P(Z < -0.90) = 1 - P(Z $\leq$ 0.90)

= 1 - 0.8159 = 0.1841

P(X $\leq$ 26 min) = P( $\frac{X-\mu}{\sigma}$ $\leq$ $\frac{26-38.5}{7.2}$ ) = P(Z $\leq$ -1.74) = 1 - P(Z < 1.74)

= 1 - 0.9591 = 0.0409

The above probability is calculated by looking at the value of x = 0.90 and x = 1.74 in the z table which has an area of 0.8159 and 0.881 respectively.

Therefore, P(26 min < X < 32 min) = 0.1841 - 0.0409 = 0.1432 or 14.32%.

(3) The percent of the New York City commutes that are between 26 and 40 minutes is given by = P(26 min < X < 40 min) = P(X < 40 min) - P(X $\leq$ 26 min)

P(X < 40 min) = P( $\frac{X-\mu}{\sigma}$ < $\frac{40-38.5}{7.2}$ ) = P(Z < 0.21) = 0.5832

P(X $\leq$ 26 min) = P( $\frac{X-\mu}{\sigma}$ $\leq$ $\frac{26-38.5}{7.2}$ ) = P(Z $\leq$ -1.74) = 1 - P(Z < 1.74)

= 1 - 0.9591 = 0.0409

The above probability is calculated by looking at the value of x = 0.21 and x = 1.74 in the z table which has an area of 0.5832 and 0.881 respectively.

Therefore, P(26 min < X < 40 min) = 0.5832 - 0.0409 = 0.5423 or 54.23%

3 0

4 years ago

What are the coordinates of the hole in the rational function? f(x)=x2+8x−9x2−1

Amanda [17]

The numerator factored is $(x+9)(x-1)$
The denominator factored is $(x+1)(x-1)$
The x coordinate for the hole comes from the like factor (x - 1).
Set it equal to zero. x - 1 = 0 so x = 1
Plug the x value into the remaining fraction $\frac{x+9}{x+1}$
$\frac{1+9}{1+1} = \frac{10}{2} =5$
The answer is (1,5)

4 0

3 years ago