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Ksenya-84 [330]
3 years ago
12

If f(x)=3^x+10x and g(x)=4x-2, find (f+g)(x)

Mathematics
2 answers:
xxMikexx [17]3 years ago
4 0
Hi there!

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

(f + g)(x) = (3ˣ + 10x) + (4x - 2)

(f + g)(x) = 3ˣ + 10x + 4x - 2

(f + g)(x) = 3ˣ + 14x - 2

~ Hope it helps!
Vikentia [17]3 years ago
3 0
Hi there!

First we need to remember the following.
(f + g)(x) = f(x) + g(x)

Now substitute both of the formulas.
(f + g)(x) = ({3}^{x} + 10x)+ (4x - 2)

Work out the parenthesis.
(f + g)(x) = {3}^{x} + 10x + 4x - 2

And finally collect terms.
(f + g)(x) = {3}^{x} + 14x - 2

~ Hope this helps you!
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What is m∠PTQ???????????
anyanavicka [17]

Answer:

m∠PTQ = 40°

Step-by-step explanation:

From the picture attached,

Two lines PS and RQ are intersecting each other at a point T.

Vertical angles formed at the point of intersection T will be equal in measure.

m∠PTQ = m∠STR and m∠PTR = m∠QTS

Therefore, (x + 28)° = (2x + 16)°

28 - 16 = 2x - x

12 = x

m∠PTQ = (x + 28)°                            

             = 12 + 28

             = 40°

Therefore, measure of angle PTQ is 40°.

5 0
3 years ago
"the life length x (in years) of a dvd player" is exponentially distributed with mean 5 years. what is the probability that a mo
loris [4]
The exponential distribution is:
\lambda e^{- \lambda x}
where \lambda = \frac{1}{mean}=\frac{1}{5}

The probability we want is how likely will a dvd player last more than 8 years, given it has already lasted 5 years
To find this, you use conditional probability.
P(A|B) = \frac{P(A and B)}{P(B)}
where A is P(x>8) and B is P(x>5)
To find these probabilities, integrate over the distribution:
P(x \ \textgreater \ N) = \int_N^{\infty} \frac{1}{5} e^{-x/5} dx = e^{-N/5}

Sub into conditional probability formula:

P(x \ \textgreater \ 8 | x\ \textgreater \ 5) = \frac{P(x\ \textgreater \ 8)}{P(x\ \textgreater \ 5)} = \frac{e^{-8/5}}{e^{-5/5}} = e^{-3/5} = 0.549

Final Answer: Given a dvd player is more than 5 years old, the probability that it will last another 3 more years is about 54.9%
3 0
3 years ago
Liliana wants to determine the height of an enlarged photo that she plans to frame. The original photo was 11 inches wide by 14
vova2212 [387]

For this case, the first thing we must do is find the scale factor.

For this, we use one of the dimensions. We will use the width of the photo.

We have then:

k = \frac {132} {11}\\k = 12

Then, we look for the value of the height of the new photo. To do this, we multiply the scale factor by the original dimension.

We have then:

14k = 14 (12) = 168

Answer:

the new height will be:

d.168 inches


6 0
3 years ago
Read 2 more answers
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zepelin [54]

Step-by-step explanation:

If sine theta is 3/5, taking the sine inverse will give you 36.87°.

4tan theta is 4 × tan36.87 = 3

3sin theta = 3 × sin36.87 = 1.8

6cos theta is 6× cos36.87 = 4.8

Therefore, it becomes 3 + 1.8 - 4.8 = 4.8 - 4.8

The answer is 0

5 0
3 years ago
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Graph the function f(x) = (x + 1)(x – 5). Use the drop-down menus to complete the steps needed to graph the function. Identify t
Black_prince [1.1K]

Answer:

The y intercept formula is

y= mx+b

m= slope

b= the number when the line crosses the y axis

6 0
3 years ago
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