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3 years ago

Simplify the expression -(6 - 4p)

Mathematics

1 answer:

Illusion [34]3 years ago

8 0

Hey there!

The answer to your question is $-6+4p$

Given:

$-(6-4p)$

First, we distribute the negative sign to both terms ( $6$ $and$ $-4p$ ) This would make the $6$ negative and the $-4p$ positive, so we have:

$-6$ $and$ $4p$

Add them together and we get:

$-6+4p$

Have a nice day!

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Ramon wants to make an acute triangle with three pieces of wood. So far, he has cut wood lengths of 7 inches and 3 inches. He st

o-na [289]

Answer: Exactly square root 58 inches

Step-by-step explanation: The dimensions given for the right angled triangle are 7 inches and 3 inches respectively. The third side is yet unknown. However what we know is that a right angled triangle can be solved by using the Pythagoras theorem which states that,

AC^2 = AB^2 + BC^2

Where AC is the longest side. The question requires us to calculate the longest side and with the other two sides already known, the Pythagoras theorem now becomes,

AC^2 = 7^2 + 3^2

AC^2 = 49 + 9

AC^2 = 58

Add the square root sign to both sides of the equation

AC = square root 58 inches

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3 years ago

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Solve 3x^2 6x=12 by quadratic formula

kari74 [83]

That would be x=0.87358

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3 years ago

A box contains 3 green marbles, 5 blue marbles, and 7 red marbles. Three marbles are selected at random from the box, one at a t

USPshnik [31]

Answer:

The probability is $P(K) = \frac{ 28 }{195}$

Step-by-step explanation:

From the question we are told that

The number of green marbles is $n_g = 3$

The number of red marbles is $n_b = 5$

The number of red marbles is $n_r = 7$

Generally the total number of marbles is mathematically represented as

$n_t = n_r + n_g + n_ b$

$n_t = 7 + 3 + 5$

$n_t = 5$

Generally total number of marbles that are not red is

$n_k = n_g + n_ b$

=> $n_k = 3 + 5$

=> $n_k = 8$

The probability of the first ball not being red is mathematically represented as

$P(r') = \frac{n_k}{n_t}$

=> $P(r') = \frac{ 8}{15}$

The probability of the second ball not being red is mathematically represented as

$P(r'') = \frac{n_k - 1}{n_t -1}$

=> $P(r'') = \frac{ 8 -1 }{15-1}$ (the subtraction is because the marbles where selected without replacement )

=> $P(r'') = \frac{ 7 }{14}$

The probability that the first two balls is not red is mathematically represented as

$P(R) = P(r') * P(r'')$

=> $P(R) = \frac{ 8}{15} * \frac{ 7 }{14}$

=> $P(R) = \frac{ 8 }{30}$

The probability of the third ball being red is mathematically represented as

$P(r) = \frac{n_r}{ n_t -2}$ (the subtraction is because the marbles where selected without replacement )

$P(r) = \frac{7}{ 15 -2}$

=> $P(r) = \frac{7}{ 13}$

Generally the probability of the first two marble not being red and the third marble being red is mathematically represented as

$P(K) = P(R) * P(r)$

$P(K) = \frac{ 8 }{30} * \frac{7}{ 13}$

=> $P(K) = \frac{ 28 }{195}$

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3 years ago

Find the value of x.

arlik [135]

Answer:

it stands for multiplication or if it on top of something it is division was that helpful or not commet down below

Step-by-step explanation:

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3 years ago

Q # 1 Graph the function Y = |X + 2| - 3

Svetllana [295]

First of all we know the Absolute Value Function that is:

$\left | x \right |= \left \{ {{x \ \ \ \ x \geq 0} \atop {-x \ \ \ \ x\ \textless \ 0}} \right.$

This is called the Parent Function of the Absolute Value Function.

From the equation:

$y=\left | x+2 \right |-3$

The term:

$\left | x+2 \right |$

means that the the Parent Function is shifted two units to the left.

On the other hand, the term:

$-3$

means that the function $\left | x+2 \right |$ is shifted three units downward. So the result is the graph shown below

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3 years ago

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