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Artemon [7]
3 years ago
9

Using the terms below, group like terms

Mathematics
1 answer:
Ahat [919]3 years ago
4 0

Answer:

= 3a + 7b - 8c

Step-by-step explanation:

In addition of algebraic expressions while adding algebraic expressions we collect the like terms and add them. The sum of several like terms is the like term whose coefficient is the sum of the coefficients of these like terms.

Horizontal Method: In this method, all expressions are written in a horizontal line and then the terms are arranged to collect all the groups of like terms and then added.

(6a + 8b - 7c) + (2b + c - 4a) + (a - 3b - 2c)  

= 6a + 8b - 7c + 2b + c - 4a + a - 3b - 2c  

Arrange the like terms together, then add.  

Thus, the required addition  

= 6a - 4a + a + 8b + 2b - 3b - 7c + c - 2c  

= 3a + 7b - 8c

Column Method: In this method each expression is written in a separate row such that there like terms are arranged one below the other in a column. Then the addition of terms is done column wise.

6a + 8b - 7c  

- 4a + 2b +  c  

    a - 3b - 2c  

  3a + 7b - 8c  

 = 3a + 7b - 8c

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What is the slope-intercept form of this equation?
kirill [66]

Answer:

y = -8x + 12

Step-by-step explanation:

Slope intercept form: y = mx + b

m ---> Slope   & b ----> y-intercept

8x + y = 12

Subtract 8x from both sides

y = -8x + 12

5 0
3 years ago
Multiply the following binomials:<br> (x + 10)(x - 5)
SCORPION-xisa [38]

Answer:

X^2+5x-50

Step-by-step explanation:

X^2-5x+10x-50

8 0
3 years ago
Read 2 more answers
The sum of two consecutive even integers is 66. Find the numbers.
evablogger [386]
Let the consecutive even numbers be n and n+2.
From given condition, 
n + n+2 = 66
2n = 64
∴ n = 32.
Therefore, the two consecutive even numbers are.
n = 32 and n+2 = 34.
4 0
3 years ago
!!!!!!!!!!!!Please help!!!!!!!!!!!!!!
aksik [14]

Answer:

The answer to your question is a) (f°g)(x) = 4x² + 2

                                                    b) (f + g)(x) = 4x² + x + 2

                                                    c) (f - g)(-3) = -37

Step-by-step explanation:

Data

f(x) = x + 2

g(x) = 4x²

a) Calculate (f°g)(x)

Just sum the function

(f°g)(x) = (4x²) + 2

-Simplification

(f°g)(x) = 4x² + 2

b) (f + g)(x)

(f + g)(x) = x + 2 + 4x²

-Simplification

(f + g)(x) = 4x² + x + 2

c) (f - g)(-3)

-Calculate (f - g)(x)

(f - g)(x) = x + 2 - 4x²

-Simplify

(f - g)(x) = -4x² + x + 2

-Evaluate in (-3)

(f - g)(-3) = -(4)(-3)² + (-3) + 2

-Simplification

(f - g)(-3) = -4(9) - 3 + 2

-Result

(f - g)(-3) = -36 - 3 + 2

(f - g)(-3) = -37

5 0
3 years ago
Ayden has 6 red rubber ducks, 4 blue rubber ducks, 8 green rubber ducks, and 2 yellow rubber ducks at home. He will randomly sel
Oliga [24]

Answer:

percentage he will select the blue rubber duck over the green ruber duck is (blue duck 1.25) (green duck 0.25)

Step-by-step explanation:

your person without a brain

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2 years ago
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