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2 years ago

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Expand and simplify 4(2x +7) – 3(x + 5)

1 answer:

Vikentia [17]2 years ago

6 0

Answer:

$4\left(2x+7\right)-3\left(x+5\right)=5x+13$

Step-by-step explanation:

Given the expression

$4\left(2x+7\right)-3\left(x+5\right)$

<u>Expand and simplify the expression</u>

$4\left(2x+7\right)-3\left(x+5\right)$

Expand 4(2x + 7) = 8x + 28

$4\left(2x+7\right)-3\left(x+5\right)=8x+28-3\left(x+5\right)$

Expand -3(x + 5) = -3x - 15

$=8x+28-3x-15$

Group like terms

$=8x-3x+28-15$

Add similar elements: 8x - 3x = 5x

$=5x+28-15$

Simplify

$=5x+13$

Therefore, we conclude that:

$4\left(2x+7\right)-3\left(x+5\right)=5x+13$

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Given two vectors A=2i+3j+4k,B=i-2j+3k find the magnitude and direction of sum<br>(physics question)

Law Incorporation [45]

Answer:

$Magnitude =\sqrt{59} \\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}}$

Step-by-step explanation:

A=2i+3j+4k

B=i-2j+3k

Sum of the vectors:

A + B = 2i+3j+4k + i-2j+3k = 3i + j + 7k

$Magnitude =\sqrt{3^2 + 1^2+ 7^2} \\\\Magnitude =\sqrt{9+1+49} \\\\Magnitude =\sqrt{59}$

Direction of the sum of the vectors:

$\widehat{A + B} =\frac{\overrightarrow{A + B}}{Magnitude\: of \:\overrightarrow{A + B}} \\\\\widehat{A + B} =\frac{3i + j + 7k}{\sqrt {59}} \\\\\widehat{A + B} =\frac{3}{\sqrt {59}} i +\frac{1}{\sqrt {59}} j+\frac{7}{\sqrt {59}} k\\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}} \\\\$

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2 years ago

Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which of the statements below

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Read 2 more answers

Consider a continuous random variable x, which is uniformly distributed between 65 and 85. The probability of x taking on a valu

madam [21]

We will see that the probability of x taking on a value between 75 to 90 is P = 0.5

<h3>How to get the probability?</h3>

We know that x is a continuous random variable uniformly distributed between 65 and 85.

This means that the probability that x value y in the range is such that:

1 = P(y)*(85 - 65) = P(y)*20

1/20 = P(y).

Now, the probability of x taking a value between 75 and 85 is:

P(75 to 85) = (1/20)*(85 - 75) = 10/20 = 0.5

And the probability between 85 and 90 is zero (because the maximum value that x can take is 85, so this part does not affect).

Then we conclude that the probability of x taking a value between 75 to 90 is:

P(75 to 90) = P(75 to 85) + P(85 to 90) = 0.5 + 0 = 0.5

If you want to learn more about probability, you can read:

brainly.com/question/251701

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1 year ago

Please help me with ptomblem

marysya [2.9K]

Answer:

When $p^2 - 4p$ is subtracted from $p^2 + p - 6$ , the result is $5p - 6$ . To get $p - 9$ , subtract $4p + 3$ from the result.

Step-by-step explanation:

✔️Subtracting $p^2 - 4p$ from $p^2 + p - 6$ :

$(p^2 + p - 6) - (p^2 - 4p)$

$p^2 + p - 6 - p^2 + 4p$ (Distributive property)

Collect like terms

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$5p - 6$

✔️Subtracting $p - 9$ from $5p - 6$ :

$(5p - 6) - (p - 9)$

$5p - 6 - p + 9$ (distributive property)

Add like terms

$4p + 3$

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