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3 years ago

Solve the inequality. 2(4x – 3)-3(3x) + + 5x?

Mathematics

1 answer:

sashaice [31]3 years ago

3 0

Answer:

2 (2 x - 3)

Step-by-step explanation:

Simplify the following:

2 (4 x - 3) - 3×3 x + 5 x

-3×3 = -9:

2 (4 x - 3) + -9 x + 5 x

Grouping like terms, 2 (4 x - 3) - 9 x + 5 x = 2 (4 x - 3) + (5 x - 9 x):

2 (4 x - 3) + (5 x - 9 x)

5 x - 9 x = -4 x:

2 (4 x - 3) + -4 x

2 (4 x - 3) = 8 x - 6:

8 x - 6 - 4 x

Grouping like terms, 8 x - 4 x - 6 = (8 x - 4 x) - 6:

(8 x - 4 x) - 6

8 x - 4 x = 4 x:

4 x - 6

Factor 2 out of 4 x - 6:

Answer: 2 (2 x - 3)

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Answer:

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Step-by-step explanation:

you can probably round it off but that is what my calculator gave me.

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3 years ago

you are rolling a 10-sided die with sides numbered 1-10. you keep rolling the die until you roll a prime number and then stop. l

evablogger [386]

The formula for E(x) would be SUM[ X(n)P(n)] from n = 1 to n = infinity until we get the prime number

In the given problem, a 10-sided die with 1-10 numbers is rolled until we get a prime number

Prime numbers between 1-10 = 2,3,5,7 (4 prime numbers)

Non - prime numbers = 1,4,6,8,9,10( 6 non-prime number)

Let X be the number of times the die is rolled

The probability of getting a prime =

$P(Prime) = \frac{4}{10}$

Now, the value of

E(X)=∑x.P(x) [ x-> {1, infinity}]

= P(1)X(1) +P(2)X(2)+P(3)X(3)+P(4)X(4)........+ P(n)X(n)

= 1. $\frac{4}{10}$ + 2. $\frac{6}{10}$ . $\frac{4}{10}$ + 3. $\frac{6}{10}$ . $\frac{6}{10}$ $\frac{4}{10}$ + 4. $\frac{6}{10}$ . $\frac{6}{10}$ . $\frac{6}{10}$ . $\frac{4}{10}$ .......

Hence, this is the value of E(x)

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2 years ago

X2 + 3x + 2<br> What is the factor?

musickatia [10]

Answer: (x+1)(x+2)
step by step explanation:

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3 years ago

G(x) = x3 + 6x2 + 12x + 8

Sonbull [250]

The function’s value when x = −1 will be C. g(−1) = 1.

<h3>How to calculate the value of the function?</h3>

It should be noted that that a function is simply used to show the relationship that exists between the variables.

There's a 2-column table with 5 rows. The first column is labeled g of x with entries negative 3, negative 2, 0, 2, 3. The second column is labeled f of x with entries.

The. function is x³ + 6x² + 12x + 8.

= x³ + 6x² + 12x + 8.

= (-1)³ + 6(-1)² + 12(-1) + 8

= -1 + 6 - 12 + 8

= 1

Therefore, the correct option is C.

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1 year ago

What is the height in meters of a person who is 6 ft 1.0 in. tall? (assume that 1 meter equals 39.37 in.)?

Romashka [77]

1 foot = 12 inch so 6 feet = 6*12 inch
6 feet = 72 inch

The height of the person in inch is = 72+1 = 73 inch

1 meter.............39.37 in
x meters.......... 73 in

x = 73/39.37 = 1.85 meters

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3 years ago

Solve the inequality. 2(4x – 3)-3(3x) + + 5x?​

Solve the inequality. 2(4x – 3)-3(3x) + + 5x?