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morpeh [17]
3 years ago
12

3 + root 3 *2 +root 2​

Mathematics
1 answer:
icang [17]3 years ago
4 0

Answer:

6 + 3\sqrt{2} + 2\sqrt{3} + \sqrt{6}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Given

(3 + \sqrt{3} )(2 + \sqrt{2} )

Each term in the second factor is multiplied by each term in the first factor, that is

3(2 + \sqrt{2} ) + \sqrt{3} (2 + \sqrt{2} ) ← distribute both parenthesis

= 6 + 3\sqrt{2} + 2\sqrt{3} + \sqrt{6}

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What can you say about the y-values of the two functions f(x)=3^(x)-3 g(x)=7x^2-3
Mice21 [21]

Answer: g(x) has the smallest possible y-value of -3

<u>Step-by-step explanation:</u>

f(x) = 3ˣ - 3   <em>This is an exponential graph shifted down three units. So, it has an asymptote at y = -3, which means it approaches -3 but does not touch it.</em>

Range: y > 3   (-3, ∞)

   g(x) = 7x² - 3  

⇒ g(x) = 7(x - 0)² - 3   <em>This is a parabola with vertex at (0, -3) </em>

Range: y ≥ 3   [-3, ∞)



5 0
3 years ago
Read 2 more answers
After John worked at a job for 10 years, his salary doubled. If he started at $x, hls salary after 10 years is​
Sholpan [36]

Answer:

$2x

Step-by-step explanation:

  1. x × 2 = 2x

I hope this helps!

4 0
3 years ago
Parcc chapter 7 pythagorean theorem
Bumek [7]
So, we know that a^2 + b^2 = c^2.  Right?  That is called the Pythagorean Theorem.

In this case.  We can say that 39 is a, 40 is b, and x is c.
NOTE: It doesn't really matter whether 39 is a or b.  a & b are just the two legs of the right triangle.

So, if we say that 39 is a, 40 is b, and x is c.  We can plug it into the Pythagorean Theorem.

39^2 + 40^2 = x^2

I'll let you take it from there.



7 0
3 years ago
List the angles in order from largest to smallest. A) ∠R, ∠P, ∠Q B) ∠R, ∠Q, ∠P C) ∠Q, ∠P, ∠R D) ∠Q, ∠R, ∠P
mars1129 [50]

Answer: A

Step-by-step explanation:

Angles opposite shorter sides of a triangle are smaller, and angles opposite longer sides in a triangle are larger.

8 0
2 years ago
The body temperatures of adults are normally distributed with a mean of 98.6degrees° F and a standard deviation of 0.60degrees°
Schach [20]

Answer:

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 98.6, \sigma = 0.6, n = 36, s = \frac{0.6}{\sqrt{36}} = 0.1

If 36 adults are randomly​ selected, find the probability that their mean body temperature is greater than 98.4degrees° F.

This is 1 subtracted by the pvalue of Z when X = 98.4. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{98.4 - 98.6}{0.1}

Z = -2

Z = -2 has a pvalue of 0.0228

1 - 0.0228 = 0.9772

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

6 0
3 years ago
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