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3 years ago

Simplify the expressions. Show your work. 3x(4x^4-5x)

1 answer:

8 0

The first step to simplifying this expression is to multiply each te in the parenthesis by 3x.
3x × 4 $x^{4}$ - 3x × 5x
Now calculate the first product in this expression.
12 $x^{5}$ - 3x × 5x
Calculate the second product in this expression.
12 $x^{5}$ - 15 $x^{2}$
Since you cannot simplify this expression any further,, the correct answer to your question is 12 $x^{5}$ - 15 $x^{2}$ .
Let me know if you have any further questions
:)

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Colt1911 [192]

Answer:

A. 5 1/2 and D. 11/2

Step-by-step explanation:

Make improper fraction

8*1+3=11/8

Solve by multiplying:

4*11/8

44/8

Simplified is 11/2

We can turn it back into a mixed number

2*5+1=11 so 5 1/2

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3 years ago

Calculate the value of 3x + 4y when x = -6 and y = 5.

MArishka [77]

Answer:

x = -6

-18+4y=0 => 4y=18 =>y=18/4=9/2

Y=5

3x+20=0 => x=3x= -20=> x= -20/3

Step-by-step explanation:

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3 years ago

Read 2 more answers

Whats the property? If -7x=14 then 14=-7x

timofeeve [1]

Answer:

the answer is commutative property

Step-by-step explanation:

commutative property is when both constants or variables don't change value when you move them from one side of the equal sign to another such as "a+b = b+a" or " a=b; b=a" both examples do not change value

3 0

3 years ago

Read 2 more answers

2. For the data set of Scientist Albert, find the ratio comparing reaction to product for all pairs of values in the table. Use

Kipish [7]

The answer is b. Notice that the problem is looking for the reaction to product ratio, which is tricky because it's easy to follow the order of the column and calculate the inverse of it. Check the first ratio, 0.3/2=0.15, we can immediately choose b out of the other 4 choices.

3 0

3 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.

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