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2 years ago

If f(x) = 10 + 2x and g(x) = 6x + 5, then (f+ g)(x) =

Mathematics

2 answers:

Alexxandr [17]2 years ago

7 0

Answer:

8x +15

Step-by-step explanation:

f(x) = 10 + 2x and g(x) = 6x + 5

(f+ g)(x) = 10 + 2x + 6x + 5

Combine like terms

= 8x +15

never [62]2 years ago

4 0

Answer:

8x+15

Step-by-step explanation:

(f+g)(x) = f(x)+g(x)

= (10+2x) + (6x+5)

= 8x+15

hope it helped, please mark me brainliest.

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What is the limiting sum of the following geometric series?<br> 2000 - 1200 + 720 - 432 ...

irina1246 [14]

Answer:

your answer is 1088

Step-by-step explanation:

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7 0

3 years ago

A scientist claims that 7% 7 % of viruses are airborne. If the scientist is accurate, what is the probability that the proportio

Reptile [31]

Answer:

The probability is $P(|p-\^{p}| > 0.03) = 0.0040$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.07$

The mean of the sampling distribution is $\mu_p = 0.07$

The sample size is n = 600

Generally the standard deviation is mathematically represented as

$\sigma_p = \sqrt{\frac{p (1 -p)}{n} }$

=> $\sigma_p = \sqrt{\frac{0.07(1 -0.07)}{600} }$

=> $\sigma_p = 0.010416$

Generally the probability that the proportion of airborne viruses in a sample of 600 viruses would differ from the population proportion by greater than 3% is mathematically represented as

$P(|p-\^{p}| > 0.03) = 1 - P(|p -\^{p}| \le 0.03)$

=> $P(|p-\^{p}| > 0.03) = 1 - P(-0.03 \le p -\^{p} \le 0.03 )$

Now add p to both side of the inequality

=> $P(|p-\^{p}| > 0.03) = 1 - P( 0.07-0.03 \le \^{p} \le 0.03+ 0.07 )$

=> $P(|p-\^{p}| > 0.03) = 1 - P(0.04 \le \^{p} \le 0.10 )$

Now converting the probabilities to their respective standardized score

=> $P(|p-\^{p}| > 0.03) = 1 - P(\frac{0.04 - 0.07}{0.010416} \le Z \le \frac{0.10 -0.07}{0.010416} )$

=> $P(|p-\^{p}| > 0.03) = 1 - P(-2.88 \le Z \le 2.88 )$

=> $P(|p-\^{p}| > 0.03) = 1 - [P(Z \le 2.88) - P(Z \le -2.88)]$

From the z-table

$P(Z \le 2.88) = 0.9980$

and

$P(Z \le -2.88) = 0.0020$

$P(|p-\^{p}| > 0.03) = 1 - [0.9980 - 0.0020]$

=> $P(|p-\^{p}| > 0.03) = 0.0040$

7 0

3 years ago

Is the right answer is 110

taurus [48]

Answer: 140

Step-by-step explanation:

Angles 3 and 4 have equivalent degree values. Set them equal to each other: x + 30 = 2x - 80

Solve for x: add 80 to both sides

x + 110 = 2x

Then subtract x from both sides

110 = x. This is x, not the final answer. The question asks for the measure of angle 3.

To get the measure of angle 3, plug in 110 for x.

Instead of x + 30, calculate 110 + 30.

So, angle 3 is 140 degrees.

8 0

3 years ago

a plumber charges a $65 fee for a repair plus $35 per hour. write an equation to model the total cost y of a repair that takes x

PIT_PIT [208]

The equation is y=35x+65

6 0

3 years ago

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A circular post in an office building has a diameter of 5 feet. Which of

kompoz [17]

Answer:

15.7

Step-by-step explanation:

Circumference = πd

π = 3.14

d = diameter (5 feet)

C = 3.14(5)

C = 15.7

4 0

3 years ago

Read 2 more answers