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3 years ago

Given the function f(x) = 3x + 1, evaluate f(a + 1). 3 a + 2 3 a + 4 3 a + 1

Mathematics

1 answer:

Tanya [424]3 years ago

5 0

Answer:

f(a + 1) = 3a + 4

Step-by-step explanation:

Given the function is:

f(x) = 3x + 1

To determine f(a + 1) we have to substitute (a + 1) in place of 'x'.

Therefore, we have:

f(a + 1) = 3(a + 1) + 1

= 3a + 3 + 1

= 3a + 4

['a' could be any real number.]

So, f(a + 1) = 3a + 4 is the answer.

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Use the figure below to find the value of x and PQ.

Scilla [17]

Answer:

x=14

PQ=46

Step-by-step explanation:

PT and TQ are equal, so we can set up the equation like this: PT=TQ

23=2x-5

calculate to find x

x=14

PQ is just PT+TQ so 23+23=46

7 0

3 years ago

7/8 = /48 A. 1 B. 6 C. 42 D. 13

Vsevolod [243]

7/8 = x/48

Cross multiply, which is: a/b = c/d ⇒ ad = bc

After cross multiplying, we get:

8x = 7(48)

8x = 336

Divide 8 on both sides

x = 42

Your final answer is B. 42.

6 0

3 years ago

Susie is paying $555.26 every month for her $150,000 mortgage. If this is a 30 year mortgage, how much interest will she pay ove

andrey2020 [161]

Answer:

$49,893.6

Step-by-step explanation:

$555.26/mo(30yr)(12 mo/yr) - $150000 = $49,893.6

5 0

3 years ago

Connor is five years older than Charlie. If the product of their ages is 14, find Connors age and Charlie’s age

fiasKO [112]

2.8 because 14 times 2.8 is 5

5 0

3 years ago

Children arrive at a house to do Halloween trick-or- treating according to a Poisson process at the unlucky rate of 13/hour. Wha

Art [367]

Answer:

0.4204 probability, option b.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Children arrive at a house to do Halloween trick-or- treating according to a Poisson process at the unlucky rate of 13/hour

13 arrivals during an hour, which means that the mean time between arrivals, in minutes is of $\mu = \frac{13}{60} = 0.2167$

What is the probability that the time between the 15th and 16th arrivals will be more than 4 minutes ?

This is P(X > 4). So

$P(X > 4) = e^{-0.2167*4} = 0.4204$

So the correct answer is given by option b.

3 0

3 years ago