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Oksana_A [137]
3 years ago
15

For what value of x does 3^4 x = 27^x - 3? a.–9 b.–3 c.3 d.9

Mathematics
2 answers:
Flauer [41]3 years ago
7 0

Answer:

It is -9

Step-by-step explanation:

I took the test

Inessa05 [86]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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If AA and BB are countable sets, then so is A∪BA∪B.
Lostsunrise [7]

Answer with Step-by-step explanation:

We are given that A and B are two countable sets

We have to show that if A and B are countable then A\cup B is countable.

Countable means finite set or countably infinite.

Case 1: If A and B are two finite sets

Suppose A={1} and B={2}

A\cup B={1,2}=Finite=Countable

Hence, A\cup B is countable.

Case 2: If A finite and B is countably infinite

Suppose, A={1,2,3}

B=N={1,2,3,...}

Then, A\cup B={1,2,3,....}=N

Hence,A\cup B is countable.

Case 3:If A is countably infinite and B is finite set.

Suppose , A=Z={..,-2,-1,0,1,2,....}

B={-2,-3}

A\cup B=Z=Countable

Hence, A\cup B countable.

Case 4:If A and B are both countably infinite sets.

Suppose A=N and B=Z

Then,A\cup B=N\cup Z=Z

Hence,A\cup B is countable.

Therefore, if A and B are countable sets, then A\cup B is also countable.

7 0
3 years ago
Read 2 more answers
You buy hammers for $30.00 a dozen and sell them for 3.50 each. What is the percent markup for the hammers?
Paraphin [41]

The percent markup is 40% cost: $2.50/hammer *40%=1.00 Cost+markup=3.50


5 0
3 years ago
Solve this identifying holes, vertical asymptotes, and horizontal asymptotes for
USPshnik [31]

x^2+7x+12=x^2+4x+3x+12=x(x+4)+3(x+4)=(x+4)(x+3)\\\\-x^2-3x+4=-(x^2+3x-4)=-(x^2+4x-x-4)\\\\=-[x(x+4)-1(x+4)]=-(x+4)(x-1)\\\\f(x)=\dfrac{x^2+7x+12}{-x^2-3x+4}=\dfrac{(x+4)(x+3)}{-(x+4)(x-1)}\\\\\text{Vertical asymptotes:}\\\\(x+4)(x-1)=0\iff x+4=0\ \vee\ x-1=0\\\\\boxed{x=-4\ and\ x=1}\\\\\text{Horizontal asymptotes:}

\lim\limits_{x\to\pm\infty}\dfrac{x^2+7x+12}{-x^2-3x+4}=\lim\limits_{x\to\pm\infty}\dfrac{x^2\left(1+\dfrac{7}{x}+\dfrac{12}{x^2}\right)}{x^2\left(-1-\dfrac{3}{x}+\dfrac{4}{x^2}\right)}=\dfrac{1}{-1}=-1\\\\\boxed{y=-1}

6 0
3 years ago
Best explained and correct answer gets brainliest!
sertanlavr [38]
Same side, interior angles of parallel lines cut by a transversal are supplementary.
The sum of the measures of supplementary angles is 180.

Angles 4 and 6 are same side, interior angles, so their measures add to 180.

m<4 + m<6 = 180

109 + m<6 = 180

m<6 = 180 - 109

m<6 = 71

Answer: m<6 = 71 deg.
8 0
3 years ago
What is the greatest whole number that rounds to 621860
konstantin123 [22]
621,864
Since the 4 is a smaller digit than a 5, the 6 in the tens place would stay the same while the 4 would become a 0.
8 0
3 years ago
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