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Contact [7]
3 years ago
7

Simplify each expression by distributing and combining like terms 6(x + 1) – 5(x + 2)

Mathematics
2 answers:
Vlada [557]3 years ago
5 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{x - 9}}}}}

Step-by-step explanation:

\star \: \sf{6( x + 1) - 5(x + 2)}

Distribute 6 through the parentheses

Similarly, distribute -5 through the parentheses

\dashrightarrow{ \sf{6x + 6 - 5x - 10}}

Collect like terms

Like terms are those which have the same base

\dashrightarrow{ \sf{6x - 5x + 6 - 10}}

\dashrightarrow{ \sf{x + 6 - 10}}

The negative and positive integers are always subtracted but posses the sign of the bigger integer

\dashrightarrow{  \boxed{ \sf{x - 4}}}

Hope I helped!

Best regards! :D

Molodets [167]3 years ago
3 0

Answer:

x-4

Step-by-step explanation:

6(x+1)-5(x+2)

=6x+6-5x-10

=x-4

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3 years ago
PLEASE HURRY!!!!!!<br> 10 points !!!!!!!!!!! What is the value of x??
horsena [70]

Answer:

x = 98°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle and 53° and 45° are the opposite interior angles, hence

x = 53° + 45° = 98°

3 0
3 years ago
Given that f(x) is even and g(x) is odd, determine whether each function is even, odd, or neither. (f • g)(x) = ? (g • g)(x) = ?
vekshin1

Answer:

<h2>(f · g)(x) is odd</h2><h2>(g · g)(x) is even</h2>

Step-by-step explanation:

If f(x) is even, then f(-x) = f(x).

If g(x) is odd, then g(-x) = -g(x).

(f · g)(x) = f(x) · g(x)

Check:

(f · g)(-x) = f(-x) · g(-x) = f(x) · [-g(x)] = -[f(x) · g(x)] = -(f · g)(x)

(f · g)(-x) = -(f · g)(x) - odd

(g · g)(x) = g(x) · g(x)

Check:

(g · g)(-x) = g(-x) · g(-x) = [-g(x)] · [-g(x)] = g(x) · g(x) = (g · g)(x)

(g · g)(-x) = (g · g)(x) - even

7 0
3 years ago
Read 2 more answers
Fully Factor 3x^2 – 16x + 20
ryzh [129]

Answer:

C. (3x2 - 10) (x - 2)

Step-by-step explanation:

3x^2 - 16x +20

Step 1: Sum = - 16x

Product = 60x^2

Step 2: Find 2 numbers that their sum is -16 and their product is 60. If you do that correctly, then you will get two numbers: 10 and -6

Step 3: Replace -16x with the two numbers found in step 2, then you will have; 3x^2 - 6x - 10x + 20

Step 4: Factorise the equation in step 3, like so;

(3x^2 - 6x)(- 10x + 20)

3x(x - 2) -10(x - 2)

(3x - 10)(x - 2)

To check if the answer is correct, expand the bracket: (3x - 10)(x - 2)

If the bracket is opened properly, you will get 3x^2 - 16x + 20

4 0
3 years ago
1. Question: What is the number of the parking space covered by the car?
GalinKa [24]

Answer: the number of the parking space covered by the car is 87

Step-by-step explanation:

Numbers are assigned to each parking spot. Looking closely at the numbers assigned to each spot, the numbers are inverted and the number on each successive spot differ by one. The numbers are 86, 87, 88, 89, 90, 91

Therefore, the number assigned to the spot where the car would be 87

4 0
3 years ago
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