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oee [108]
4 years ago
9

Solve the equation for x: 2x + 22 = 4(x+3)

Mathematics
1 answer:
Elina [12.6K]4 years ago
8 0
2x + 22 = 4(x + 3)...distribute thru the parenthesis
2x + 22 = 4x + 12...subtract 2x from both sides, subtract 12 from both sides
22 - 12 = 4x - 2x...simplify
10 = 2x...divide both sides by 2
10/2 = x...reduce
5 = x <==
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HELP!
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Answer:

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Step-by-step explanation:

took the test.

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3 years ago
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kiruha [24]

Answer:

No solution

Step-by-step explanation:

We have

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

For the sum it is not correct to assume

$\sum_{x=8}^{4}x^2= 8^2 + 7^2+6^2+5^2+4^2 = 64+49+36+25+16 = 190$

Note that for

$\sum_{x=a}^b f(x)$

it is assumed a\leq x \leq b and in your case \nexists x\in\mathbb{Z}: a\leq x\leq b for a>b

In fact, considering a set S we have

$\sum_{x=a}^b (S \cup \varnothing) = \sum_{x=a}^b S + \sum_{x=a}^b \varnothing $ that satisfy S = S \cup \varnothing

This means that, by definition \sum_{x=a}^b \varnothing = 0

Therefore,

$\sum_{x=8}^{4}x^2 = 0$

because the sum is empty.

For

9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)

we have other problems. Actually, this case is really bad.

Note that \cos^2(\infty) has no value. In fact, if we consider for the case

$\lim_{x \to \infty} \cos^2(x)$, the cosine function oscillates between [-1, 1] , and therefore it is undefined. Thus, we cannot evaluate

9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)

and then

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

has no solution

7 0
3 years ago
The coefficient of 6x is?<br> A.1<br> B.6<br> C.x
wel
The coefficient is 6.
8 0
4 years ago
Read 2 more answers
If the area of a circle is 98​
Pachacha [2.7K]

Answer:

7 \sqrt{2}

Step-by-step explanation:

given : area =98π

we know area of a circle = π r^2

hence

πr^2=98π { cancelling both π }

r^2=98

r =  \sqrt{98}

r = 7 \sqrt{2}

hope it helps

3 0
3 years ago
The diameter of a plant at its equator is 267,100 kilometers. estimate using scientific notation
yaroslaw [1]

Answer:

2670

Step-by-step explanation:

7 0
4 years ago
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