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Andrej [43]
2 years ago
10

F(x) = 4x² + 7x-3 g(x) = 6x³ – 7x² - 5 - Find (f + g)(x).

Mathematics
1 answer:
Anika [276]2 years ago
7 0

Answer:

(f + g)(x) = 6x³ - 3x² + 7x - 8  

Step-by-step explanation:

Another way of writing (f + g)(x) is f(x) + g(x). So, this question is asking you to combine both of the functions.

f(x) + g(x)                                          

(4x² + 7x - 3) + (6x³ - 7x² - 5)                      <----- Insert functions

-3x² + 7x - 3 + 6x³ - 5                                 <----- Combine 4x² and -7x²

-3x² + 7x - 8 + 6x³                                       <----- Combine -3 and -5

6x³ - 3x² + 7x - 8                                       <----- Rearrange

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Step 1: Distribute -2 to 5x and 8. Step 2: 6x. Step 3: 16. Step 4: -16.
Ronch [10]

The simplified form of the expression is -10x - 16

<h3>Factorizing expressions</h3>

Given the expression -2(5x + 8)

In order to factorize the expression, we will use the distributive property. Distribute -2 over 5x and 8 to have:

Step 1: Distribute -2 to 5x and 8

-2(5x + 8) =-2(5x) -2(8)

Simplify

-2(5x + 8) = -10x - 16

Hence the simplified form of the expression is -10x - 16

Learn more on factoring here: brainly.com/question/24734894

#SPJ1

3 0
2 years ago
Find the difference. Write your answer in simplest form.<br><br> 1 1/6 - 1/2
vodomira [7]

Answer:

2/3

Step-by-step explanation:

1 1/6 - 1/2

Get a common denominator of 6

1 1/6 - 1/2*3/3

1 1/6 - 3/6

Borrow 1 from the 1 in the form of 6/6

6/6 + 1/6 - 3/6

7/6 - 3/6

4/6

Reduce by dividing the top and bottom by 2

2/3

8 0
3 years ago
Read 2 more answers
Each brochure is 23 centimetres wide.
RideAnS [48]

Answer:

6  brochures

Step-by-step explanation:

Each brochures is 23 centimeters wide.

The table is 1.5 meters wide.

To know how many brochures can be placed side by side on the table first you have to calculate how many centimeters there are in 1.5 meters wide.

One meter equals 100 centimeters.

Therefore in 1.5 meters there are:

1.5*100 = 150 centimeters.

Now we must calculate in how many parts of 23 cm can be divided 150 cm.

To do this we made the division of 150 between 23

\frac{150}{23}= 6.522

This means that up to 6 brochures of 23 cm can be placed side by side on the table

8 0
4 years ago
Lucy scored 65 points in a game. Eva scored e points in the same game
kondor19780726 [428]
I guess you need to find what E is, though sadly this isnt enough information to me....
6 0
3 years ago
Is (-1,-2) a solution to the equation 2x-3y=4?<br> No<br> O Yes
a_sh-v [17]

Answer:

Yes

Step-by-step explanation:

Plug in (-1 , -2) in the LHS of the equation.

2x - 3y = 2*(-1) - 3*(-2)

           = -2 + 6

           = 4 = RHS

So, (-1 , -2) is a solution

6 0
3 years ago
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