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kaheart [24]
4 years ago
5

Subtract 3x^2 + 8x from -9x^2 +3x -8

Mathematics
1 answer:
Marianna [84]4 years ago
7 0

Answer:

\boxed{ \bold{  \huge  {\boxed{ \sf{ - 12 {x}^{2}  - 5x - 8}}}}}

Step by step explanation

\sf{ - 9 {x}^{2}  + 3x - 8 - (3 {x}^{2}  + 8x)}

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

\dashrightarrow{ \sf{ - 9 {x}^{2}  + 3x - 8 - 3 {x}^{2}  - 8x}}

Collect like terms

\dashrightarrow{ \sf{ - 9 {x}^{2}  - 3 {x}^{2}  + 3x - 8x - 8}}

\dashrightarrow{ \sf{ - 12 {x}^{2}  - 5x - 8}}

Hope I helped!

Best regards!

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Which statement is true?
Elis [28]

Answer: Last option is true,

Step-by-step explanation: All other option are false

8 0
3 years ago
The average of three different positive integers is 8. What is the largest integer that could be one of them.
Trava [24]
Supposing that the integers are x, y and z, and that their average is 8, then

x+y+z
-------- = 8, or x + y + z = 24.
    3

Let's experiment.    Making up a table, we get:

x   y   z   sum (sum MUST be 24)
5  9  10    24
4  9   11    24
3  10  11   24
2   11 11    24
1   11  12   24
1   10  13   24
1    1   22   24

Can't choose integers smaller than 1, so it appears that 22 is the largest possible integer that could be one of x, y and z.
7 0
3 years ago
What is the equation of this line?
cricket20 [7]

Answer:

y=1/2x-2

Step-by-step explanation:

the line is at its y-intercept at (0,-2) letting you know that there will be a -2 after the X.

the line is going up 1 vertical box every 2 horizontal boxes letting you know that the slope is 1/2x

8 0
3 years ago
What are the coordinates of the centroid of a triangle with vertices D(0,1),E(2,6), and F(7,2) enter your answer in the boxes
Daniel [21]

The coordinates of centroid of given triangle are: (3,3)

Step-by-step explanation:

Given

D(0,1) = (x1,y1)

E(2,6) = (x2,y2)

F(7,2) = (x3,y3)

The centroid of a triangle when the vertices are known is given by:

C = (\frac{x_1+x_2+x_3}{3} , \frac{y_1+y_2+y_3}{3})

Putting the values

C = (\frac{0+2+7}{3} , \frac{1+6+2}{3})\\C = (\frac{9}{3} , \frac{9}{3})\\= (3,3)

Hence,

The coordinates of centroid of given triangle are: (3,3)

Keywords: Triangle, centroid

Learn more about triangles at:

  • brainly.com/question/10717746
  • brainly.com/question/10736268

#LearnwithBrainly

7 0
3 years ago
How can you determine the relationship between corresponding terms? Give an example.
stellarik [79]
You have to try to determine the sequence, and you try two basic kind of sequences: aritymethic and geometric.

In aritmetic sequeces the relationships is that the difference between any adjacent terms is constant.

For example

´Number of term (n)     Term, An

1                                   7

2                                   11

3                                   15

4                                   19

Then the relationship between adjacent terms is 19 - 15 = 4 = 15 -11 = 4 = 11 - 7 = 4.

You can find, then, a general expression that relates any term with its position.

It is An = 7 + (n-1)*4

In geometric sequences the relationship is found dividing two adjacent terms, because the ratio is constant.

For example:

Number of term     Term

1                            10
2                            20
3                            40
4                            80

You can then find the relation as: 20/10 = 2 = 40/20 = 2 = 80/40 = 2.

In this case the general term is An = 10 * 2^ (n-1) 
3 0
3 years ago
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