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Alecsey [184]
3 years ago
12

Given two functions f(x)=2x+4 and g(x)=−1/5x−3 , what is the function rule for (f+g)(x) ?

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
5 0

The definition is pretty simple:

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

So, we only have to sum the expressions:

f(x)+g(x) = 2x+4 - \dfrac{1}{5}x-3 = \dfrac{9}{5}x+1

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Line q has a slope of 5/3. Line r is parallel to line q. What is the slope if line r?​
seropon [69]

Answer:

The slope remains a constant m=\frac{5}{3} as it is parallel.

Explanation:

1. Line Q is defined as a slope of \frac{5}{3}; i.e. y=\frac{5}{3}

2. Line R is defined to be parallel of Line Q.

3. Line Q is linear and has no domain restrictions.

The definition of being parallel requires the same slope.

5 0
3 years ago
If Joseph buys a T.V. At 35% off and it’s original costs $599.99 how much did he pay for the tv?
Monica [59]

Answer: He paid \$389.9935 for the T.V.

Step-by-step explanation:

We need to analize the information provided:

- The original cost of the T.V. was $599.99

- Joseph buys it at 35% off the original cost.

Let be "x" the amount Joseph paid for the T.V.

We can calculate "x" with the following expression:

x=\$599.99-(\$599.99)(0.35)\\\\x=\$389.9935

Therefore, he paid \$389.9935 for the T.V.

7 0
3 years ago
4) The heat is turned on in a room. After 5 minutes, the temperature is 64 °F and after 25 minutes, the
damaskus [11]

Answer:

F=0.4t

Step-by-step explanation:

Find the slope using the formula rise over run or y2-y2 over x2-x1

y2=72 y1=64 x2=25 x1=5

72-64/25-5=8/20=0.4

6 0
3 years ago
Read 2 more answers
Marine scientists categorize signature whistles of bottlenose dolphins by typelong dash—type ​a, type​ b, type​ c, etc. In one s
r-ruslan [8.4K]

Answer:

The 95​% confidence interval for the true proportion of bottlenose dolphin signature whistles that are type a whistles is (0.4687, 0.6123).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 185, \pi = \frac{100}{185} = 0.5405

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5405 - 1.96\sqrt{\frac{0.5405*0.4595}{185}} = 0.4687

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5405 + 1.96\sqrt{\frac{0.5405*0.4595}{185}} = 0.6123

The 95​% confidence interval for the true proportion of bottlenose dolphin signature whistles that are type a whistles is (0.4687, 0.6123).

3 0
3 years ago
Here is a list of ages (years) of children in a room:
dlinn [17]

Answer:

5

Step-by-step explanation:

median basically means the number which is in the middle so 8,8,9, 5 ,10,4,9

6 0
2 years ago
Read 2 more answers
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