Please answer quickly!

Given f(x) = x^2 - 5x, find f(x-3)

Hoochie [10]

Answer:

f(x-3)= x^2 -11x +24

Step-by-step explanation:

We want to find an equivalent expression for f(x-3)

To do this, we can simply substitute every 'x' variable in f(x) by 'x-3'

Therefore f(x-3)= (x-3)^2 -5*(x-3)

Lets re arrange the expression by grouping terms.

f(x-3)=x^2 - 6x +9 -5x + 15

f(x-3)= x^2 -11x +24

3 0

3 years ago

Find the measure of each interior angle. Round to the nearest hundredth.

Butoxors [25]

Answer:

x = 76.80°

4x - 142 = 165.18°

x/5 = 15.36°

5x/9 + 60 = 102.66°

Step-by-step explanation:

Total angle in a quadrilateral is 360

x + 4x - 142 + x/5 + (5/9)x + 60 = 360

259x/45 + - 82 = 360

259x/45 = 442

x = 76.7953668

x = 76.80°

4x - 142 = 165.18°

x/5 = 15.36°

5x/9 + 60 = 102.66°

8 0

3 years ago

Choose all the numbers that are common multiples of 12 and four

irina [24]

Answer:

12, 24 , and 36

Step-by-step explanation:

6 0

2 years ago

At an ocean-side nuclear power plant, seawater is used as part of the cooling system. This raises the temperature of the water t

grandymaker [24]

Answer:

(a1) The probability that temperature increase will be less than 20°C is 0.667.

(a2) The probability that temperature increase will be between 20°C and 22°C is 0.133.

(b) The probability that at any point of time the temperature increase is potentially dangerous is 0.467.

(c) The expected value of the temperature increase is 17.5°C.

Step-by-step explanation:

Let X = temperature increase.

The random variable X follows a continuous Uniform distribution, distributed over the range [10°C, 25°C].

The probability density function of X is:

$f(X)=\left \{ {{\frac{1}{25-10}=\frac{1}{15};\ x\in [10, 25]} \atop {0;\ otherwise}} \right.$

(a1)

Compute the probability that temperature increase will be less than 20°C as follows:

$P(X$

Thus, the probability that temperature increase will be less than 20°C is 0.667.

(a2)

Compute the probability that temperature increase will be between 20°C and 22°C as follows:

$P(20$

Thus, the probability that temperature increase will be between 20°C and 22°C is 0.133.

(b)

Compute the probability that at any point of time the temperature increase is potentially dangerous as follows:

$P(X>18)=\int\limits^{25}_{18}{\frac{1}{15}}\, dx\\=\frac{1}{15}\int\limits^{25}_{18}{dx}\,\\=\frac{1}{15}[x]^{25}_{18}=\frac{1}{15}[25-18]=\frac{7}{15}\\=0.467$

Thus, the probability that at any point of time the temperature increase is potentially dangerous is 0.467.

(c)

Compute the expected value of the uniform random variable X as follows:

$E(X)=\frac{1}{2}[10+25]=\frac{35}{2}=17.5$

Thus, the expected value of the temperature increase is 17.5°C.

7 0

3 years ago

If x varies as y and if x=20 when y=9 , find x when y=18

andrezito [222]

Answer:1/2 y

Step-by-step explanation:

We can solve this using ration reasoning:

x

2

x

1

=

y

2

y

1

Explanation:

If

x

varies directly with

y

(written

x

∝

y

), then doubling

y

means doubling

x

, so the rations of final values and initial values will be the same:

x

2

x

1

=

y

2

y

1

In this case,

x

2

9

=

24

18

x

2

=

9

⋅

24

18

=

12

Or, intuitively, if

x

∝

y

and

x

=

9

when

y

=

18

, we can conclude that

x

=

1

2

y

and

1

2

of 24 is 12.

3 0

3 years ago