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Kruka [31]
3 years ago
8

F(x) = 3x – 2 and g(x) = x2 + 1, find (f + g)(x)

Mathematics
1 answer:
Pani-rosa [81]3 years ago
3 0

Option A:  x^2 +3x-1 is the correct answer

Step-by-step explanation:

Given functions are:

f(x) = x-2\\g(x) = x^2+1

We have to find (f+g)(x), which is the addition of two given functions

So,

(f+g)(x) = f(x) +g(x)\\= 3x-2 + (x^2+1)\\= 3x-2+x^2+1\\= x^2+3x-2+1\\=x^2+3x-1

Hence,

Option A:  x^2 +3x-1 is the correct answer

Keywords: Functions, addition

Learn more about functions at:

  • brainly.com/question/4550858
  • brainly.com/question/4639731

#LearnwithBrainly

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D
Gelneren [198K]

Answer:

General equation of line : y = mx+c   --1

Where m is the slope or unit rate

Table 1)

p    d

1      3

2     6

4     12

d = Number of dollars (i.e.y axis)

p = number of pound(i.e. x axis)

First find the slope

First calculate the slope of given points

m = \frac{y_2-y_1}{x_2-x_1}   ---A

(x_1,y_1)=(1,3)

(x_2,y_2)=(2,6)

Substitute values in A

m = \frac{6-3}{2-1}

m = 3

Thus the unit rate is 3 dollars per pound.

So, It matches the box 1 (Refer the attached figure)

Equation 1 : p=3d

\frac{p}{3}=d

Since p is the x coordinate and d is the y coordinate

On Comparing with 1

m = \frac{1}{3}

Thus the unit rate is \frac{1}{3} dollars per pound

So, It matches the box 2 (Refer the attached figure)

Equation 2 : \frac{1}{3}d=3p

d=9p

Since p is the x coordinate and d is the y coordinate

On Comparing with 1

m =9

Thus the unit rate is 9 dollars per pound

So, It matches the box 3 (Refer the attached figure)

Table 2)

p        d

1/9      1

1         9

2        18

d = Number of dollars (i.e.y axis)

p = number of pound(i.e. x axis)

(x_1,y_1)=(\frac{1}{9},1)

(x_2,y_2)=(1,9)

Substitute values in A

m = \frac{9-1}{1-\frac{1}{9}}

m = \frac{8}{frac{8}{9}}

m = 9

Thus the unit rate is 9 dollars per pound

So, It matches the box 3 (Refer the attached figure)

3 0
4 years ago
Read 2 more answers
A beetle was running along a number line, Then the bug ran from 24 to 78. What distance did it cover? If this run took the bug 9
Margaret [11]

Answer:

it covered 54 and ran 6 per 9 second

Step-by-step explanation:

step 1. 78-24 = 54

step 2. 54/9 = 6

3 0
3 years ago
Kara did a survey to determine to study the types of pets that students in her school had. She surveyed 300 students and found t
julsineya [31]

Answer:

(C)81

Step-by-step explanation:

Total Number of Students =300

Percentage who had cats, n(C) = 40%

Percentage who had both cats and dogs , n(C \cap D) = 12%

Percentage who had neither cats nor dogs, n(C \cup D)' =45%

Now:

Universal Set, U = n(C)+n(D)-n(C \cap D)+n(C \cup D)'

100 = 40 + n(D)-12+45\\n(D)=100-73\\$Percentage of those who own dogs =27\%

Therefore:

Number of Students who had dogs

=27% of 300

=81

3 0
3 years ago
Ayo can someone help with this I dont get it​
Zielflug [23.3K]

Answer:

D. is the answer

Step-by-step explanation:

the side lengths always have to be equal so 6+8 = 10    and 10 is equal to 10

that means it makes a right triangle

5 0
3 years ago
72 students are out sick There are 600 students total what percent of the student population is ill?
g100num [7]

Answer:

12 percent of the students are ill

Step-by-step explanation:

To find the percent, you want to find the fraction 72/600. If you get your calculator adn divide the fraction, you get 0.12 which is 12 percent. Hope this helps!

5 0
3 years ago
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