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Ray Of Light [21]
3 years ago
10

Given that f(x) = 4x + 5 and g(x) = x2 - 2x - 2, find (f + g)(x).

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
4 0

Answer:

A

Step-by-step explanation:

We are given the two functions:

f(x)=4x+5\text{ and } g(x)=x^2-2x-2

And we want to find:

(f+g)(x)

This is equivalent to:

=f(x)+g(x)

Substitute:

=(4x+5)+(x^2-2x-2)

Rearrange:

=(x^2)+(4x-2x)+(5-2)

Combine like terms. Hence:

(f+g)(x)=x^2+2x+3

Our answer is A.

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nikdorinn [45]

it’s 63 because the sides are equal on both sides

7 0
3 years ago
A bottle contains 14/16 ounces of apple juice. One serving of apple juice weighs 1/4 ounce. What is the total number of servings
andrew-mc [135]

Answer:

You have 3.5 Servings.

Step-by-step explanation:

1/4 x 4 = 4/16

14/4 = 3.5

8 0
3 years ago
Data will be collected on the following variables. Which variable can be considered discrete? A. The height of a person B . The
kvv77 [185]

Answer: E: The number of books a person finished reading last month

Step-by-step explanation:

First, a discrete variable is a variable that only can take some given values in a set, the discrete variables are usually not dense, and a continuous variable is a variable that can take any value in a range (where the accepted values are dense).

So, for example, the set of the natural numbers is discrete, and the set of the real numbers can represent a continuous variable.

Here the only option that is really discrete will be the number of books that a person finished reading last month because here only positive whole numbers are accepted (you can not finish a 0.454 of a book)

The other options are continuous because all are classical measures.

For example, the weight of a person can jump between:

75.6kg and 75.7kg.

So you could think that this is discrete because the values between 75.6kg and 75.7g are not shown with our measuring device, but those will be added in the error of the measure because the weights between 75.6kg and 75.7kg are actually possible, so they must be accepted.

4 0
3 years ago
Answer quick find the coordinates
Mekhanik [1.2K]

Answer:

  (-4, -3), (4, -1), (8, 0), (12, 1)

Step-by-step explanation:

The x- and corresponding y-values are listed in the table. Put each pair in parentheses, <em>x-value first</em>. (That is an <em>ordered pair</em>.)

  (x, y) = (-4, -3) . . . . from the first table entry

  (x, y) = (4, -1) . . . . from the second table entry

  (x, y) = (8, 0) . . . . from the third table entry

  (x, y) = (12, 1) . . . . from the last table entry

3 0
3 years ago
In class of 24 students, 8 students did NOT check out a book from the library. What fraction of the students did check out a boo
melomori [17]

Answer:

33/100

Step-by-step explanation:

I am not so sure, I calculated the percentage and tried converting it to a fraction this is what I got, :)

5 0
3 years ago
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