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kolezko [41]
3 years ago
6

If f(x) = 5x + 2x and g(x) = 3x - 6, find (f+g)(x).

Mathematics
1 answer:
stellarik [79]3 years ago
4 0

Answer:

10x -6

Step-by-step explanation:

f(x) = 5x + 2x  = 7x

g(x) = 3x - 6

f(x) + g(x) = 7x+ 3x-6

                = 10x -6

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What is the sum of the interior angles of a hexagon?
Gala2k [10]

Hello!

So, every interior angle of a regular hexagon measures 120 degrees.

There are six interior angles of a hexagon, so you have to multiply 120 by 6.

120 x 6 = 720

So, the answer to your question is that the sum of the interior angles of a hexagon is 720 degrees.

Hope this helps!

3 0
2 years ago
Suppose that lithium calculator battery with a charge of 3 volts, actually has a voltage with uniform distribution between 2.93
Dmitrij [34]

Answer:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform probability distribution is:

M = \frac{a + b}{2}

The standard deviation of the uniform distribution is:

S = \sqrt{\frac{(b-a)^{2}}{12}}

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Uniform distribution between 2.93 and 3.1 volts

This means that a = 2.93, b = 3.1. So

Mean:

M = \frac{2.93 + 3.1}{2} = 3.015

Standard deviation:

S = \sqrt{\frac{(3.1 - 2.93)^{2}}{12}} = 0.049

What is the probability that a battery has a voltage less than 2.98?

P(X \leq 2.98) = \frac{2.98 - 2.93}{3.1 - 2.93} = 0.2941

So the correct answer is:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

6 0
3 years ago
Nevaeh is decorating the Christmas tree. She has 85 red bulbs, 76 green bulbs, 49 yellow bulbs, and 52 blue bulbs.
vodka [1.7K]

Answer:

A) Red and Blue Bulbs

B) 262 lightbulbs.

Step-by-step explanation:

A) red and blue = 85+52=137

Yellow and green = 76+49=125

Answer to A is Red and Blue bulbs

Bulbs in all: We already know from A that there are 137 and 125 so 137+125 is 262.

Hope this helps plz hit the crown :D

5 0
3 years ago
Hi can I have help? Please...
AnnyKZ [126]

Answer:

500

Step-by-step explanation:

8 0
3 years ago
Help please pre calculus
Jobisdone [24]
Since a log graph is with base 10 and a ln graph is with base e (2.something), the log x graph will clearly have smaller numbers (as, for example, log100=2 and ln100=around 4.6). In addition, you only have to multiply a number by e to increase the power by 1 but you have to multiply a number by 10 (which is significantly larger than e) to increase logx's power by 1, therefore proving that the log x graph will grow slower
6 0
3 years ago
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