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kvasek [131]
3 years ago
7

Solve for x: 5x + one third(3x + 6) > 14

Mathematics
2 answers:
alekssr [168]3 years ago
5 0

Answer:

The correct option is B) x > 2.

Step-by-step explanation:

Consider the provided inequality.

5x+\frac{1}{3}(3x+6)>14

Distributive property:

a(b+c)=ab+ac

By the distributive property.

5x+\frac{1}{3}\times 3x+\frac{1}{3}\times 6>14\\5x+x+2>14

Add the like terms

6x+2>14

Subtract 2 from both sides.

6x+2-2>14-2\\6x>12

Divide both sides by 6.

\frac{6x}{6}>\frac{12}{6}\\x>2

Hence, the correct option is B) x > 2.

MA_775_DIABLO [31]3 years ago
4 0

Answer:

It should be x > 2

Step-by-step explanation:

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A collector's mode
Burka [1]

Answer:

0.22 ft

Step-by-step explanation:

1in/6ft = 0.75in/xft

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1/4.5 = 0.22 ft

4 0
3 years ago
What is the true solution to the equation below 2 log3(6x)-log3(4x)=2 log 3(x+2)
Tanya [424]

Answer: The answer is (C) C. x=1 and x=4.

Step-by-step explanation: We are given to find the true solution of the following equation involving logarithms:

2\log_36x-\log_34x=2\log_3(x+2).

We will be using the following properties of logarithms in the solution.

(i)~a\log b=\log a^b,\\\\(ii)~\log a-\log b=\log\dfrac{a}{b}.

The solution is as follows:

2\log_36x-\log_34x=2\log_3(x+2)\\\\\Rightarrow \log_3(6x)^2-\log_34x=\log_3(x+2)^2\\\\\\\Rightarrow \log_3\dfrac{36x^2}{4x}=\log_3(x^2+4x+4)\\\\\\\Rightarrow 9x=x^2+4x+4\\\\\Rightarrow x^2-5x+4=0\\\\\Rightarrow (x-4)(x-1)=0\\\\\Rightarrow x-4=0,~~~x-1=0\\\\\Rightarrow x=4,~~~x=1.

Since we can find the logarithm of a positive integer only, and both the solutions x = 1 and 4 satisfy this condition after substituting in the given equation, so both the solutions are TRUE.

Thus, the correct option is (C).

6 0
3 years ago
Read 2 more answers
How many solutions does 6(x+3)=6x+18
zhannawk [14.2K]

Answer:

Infinity

Step-by-step explanation:

Distribute on the left side to get

6x+18=6x+18

This is a tautology, it is true for any x.

4 0
3 years ago
If on the 1040EZ form, the amount on line 10 is greater than the amount on
stich3 [128]

Answer:

Not owe any taxes nor get a refund. hope this helps since the other answer is wrong

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Can someone explain how to do this? thank you!
Alisiya [41]
The answer will be <span>Negative

Write sin(</span>\frac{5 \pi }{4}) as sin(\pi+\frac{ \pi } {4}<span>)

Using the summation identity will be:
</span>=sin(\pi)+cos(\pi)sin(\frac{ \pi }{4}<span>)
</span><span>
By following the trivial identity, you should get:
=</span>0*\frac{ \sqrt{2}}{2}+(-1) \frac{\sqrt 2} {2}

<span>Remove the parentheses on -1, then multiply</span>
=0*\frac{ \sqrt 2} {2}-1* \frac{ \sqrt 2} {2}

You should get:
- \frac{ \sqrt 2} {2}
6 0
3 years ago
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