2 years ago

Which values of X are solutions to the inequality

Mathematics

1 answer:

Natasha_Volkova [10]2 years ago

6 0

Answer:

The third answer choice

Step-by-step explanation:

-3(x+2) < 5x+10

-3x-6 < 5x+10

-3x-5x < 10+16

-8x < 16

x < -2

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Simplify the equation

Arturiano [62]

Answer:

$\dfrac{16x^3-37x^2-16x+37}{x^2+2}$

Step-by-step explanation:

There aren't any factors that cancel (except 3x). The best you can do is multiply it out.

$\displaystyle\frac{\frac{3x^2-3}{x}}{\frac{3(x^2+2)}{16x^2-37x}}=\frac{3(x^2-1)}{x}\cdot\frac{16x^2-37x}{3(x^2+2)}\\\\=\frac{x(x^2-1)(16x-37)}{x(x^2+2)}=\frac{16x^3-37x^2-16x+37}{x^2+2}$

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3 years ago

Find the number of letters from the word MAXIMUM where two consonants cannot occur. (Permutation)

Hunter-Best [27]

Answer:

Step-by-step explanation:

In word MAXIMUM, consonants are M & X. According to the question itself, consonants should not occur together.

So, we have to put vowels at each even position; only then the condition will be satisfied.

We can put this in 3! ways (permutations of A, I & U).

For odd positions we can put 3-M's & a X. Total ways is 4!/3! (as repetitions of M).

Hence, the answer is 4!/3! x 3! = 24 ways.

24=4!.

5 0

2 years ago

The measure of an angle is 8 degrees less than three times the measure of the angle's supplement. Find the measure of the angle.

Liula [17]

Answer:

262

Step-by-step explanation:

3(90) - 8 = x

270-8 = x

262 = x

4 0

3 years ago

Which of the following describes the correct process for solving the equation 2x + 6 = 22 and arrives at the correct solution?

gulaghasi [49]

Answer:A

Step-by-step explanation:

we need to first find the answer to the equation.

2x+6=22

6-6=0

22-6=16

2x=16

divide both sides by 2

x=8

4 0

2 years ago

Read 2 more answers

Domain and Range for this equation? F(x)= 3x^7+0x^6-0x^5-2x^4-3x^3-2x^2-x^1+x^0

sp2606 [1]

The domain is equal all real numbers
$D=\mathbb{R}$

The degrees of the polynomial is odd (3x^7, 7 is odd), therefore the range is equal all real numbers

$R=\mathbb{R}$

8 0

2 years ago