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jasenka [17]
3 years ago
14

Which statement describes how to solve √(3x+4)=√3x+4?

Mathematics
2 answers:
PolarNik [594]3 years ago
7 0

Answer:

C.) Square both sides twice and then solve the resulting linear equation.

Step-by-step explanation:

We are given a equation:

  \sqrt{3x+4}=\sqrt{3x}+4

On squaring both sides, we get

  3x+4=3x+16+8\sqrt{3x}

=  8\sqrt{3x}=-12

again on squaring, we get

  64\times 3x=144

⇒   x=3\4

Hence, solving this equation required Squaring both sides twice and then solving the linear equation

Hence, Correct option is:

C.) Square both sides twice and then solve the resulting linear equation.

Bezzdna [24]3 years ago
6 0
C is the best choice
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The city bus station runs buses every 15 minutes. Find the probability that a passenger who arrives at a random time will not ha
Paul [167]
The answer to your problem is A 1/3, is the possibility for a passenger who arrives at noon.
3 0
3 years ago
The areas of two similar triangles are 75m2 and 300m2. The length of one of the sides of the second triangles is 9m. What is the
Ymorist [56]

Answer:

4.5 m

Step-by-step explanation:

The area of two similar triangles are 75 m2 and 300 m2. This gives you the scale factor of the triangles:

\dfrac{A_{small}}{A_{large}}=k^2\Rightarrow k^2 =\dfrac{75}{300}=\dfrac{3}{12}=\dfrac{1}{4}\Rightarrow k=\dfrac{1}{2}.

Then you can find the length of the corresponding side:

\dfrac{side_{small}}{side_{large}}=k\Rightarrow =\dfrac{side_{small}}{9}=\dfrac{1}{2},\ side_{small}=\dfrac{9}{2}=4.5\ m.

4 0
3 years ago
What do you get when using the Quadratic formula for the equation x^2+4=20?
wolverine [178]
x^{2} +4=20
x^{2} =20-4
x^{2} =16
x= \sqrt{16}
x=4
4 0
3 years ago
In the July 2007 issue, Consumer Reports examined the calorie content of two kinds of hot dogs: meat (usually a mixture of pork,
kifflom [539]

Answer:

Since we FAIL to reject the null hypothesis, then if we construct an interval of 95% of confidence, the 0 should be included, because on the test hypothesis we conclude that there would be no significant difference between the means of the two groups analyzed, and the results obtained on the hypothesis test needs to be consistent with the confidence interval.

Step-by-step explanation:

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

\bar x_{meat}=111.7 represent the sample mean of calories for the meat hot dogs

\bar x_{beef}=135.4 represent the sample mean of calories for the beef hot dogs

The system of hypothesis on this case would be:

Null hypothesis: \mu_{meat}-\mu_{beef}=0

Alternative hypothesis: \mu_{meat}-\mu_{beef}\neq 0

On this case we have the p value obtained, after calculate the statistic and we got that p_v =0.124 if we select a 5% significance level \alpha=0.05 we see that p_v >\alpha and on this case we can FAIL to rejec the null hypothesis, so there is not a significant difference between the mean of the two tpes of hot dogs analyzed at 5% of significance.

And since we FAIL to reject the null hypothesis, then if we construct an interval of 95% of confidence, the 0 should be included, because on the test hypothesis we conclude that there would be no significant difference between the means of the two groups analyzed, and the results obtained on the hypothesis test needs to be consistent with the confidence interval.

8 0
3 years ago
What is the product?
RSB [31]

Answer:

15a^5b^15

Step-by-step explanation:

you multiply 5 and 3 to get 15, and then when you are multiplying exponents of variables, you actually add them, so a^2 times a^3 is actually a^5, and b^7 times b^8 is b^15. Because these are all multiplied together, you get the answer of 15a^5b^15.

4 0
3 years ago
Read 2 more answers
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