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2 years ago

When the expression 3(x²+6-3x) - (2x²-8) + 3(x² + 4x) is simplified, the coefficient

Mathematics

1 answer:

DochEvi [55]2 years ago

5 0

The correct answer is option C which is 3.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The given expression will be solved as follows:-

E = 3( x² +6 -3x)- ( 2x² - 8 ) +3(x² + 4x )

E = 3x²+18-9x-2x²+8+3x²+12x

E= 4x² +3x+8

We can see the coefficient of x is 3.

Therefore the correct answer is option C which is 3.

To know more about Expression follow

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This number was rounded to the nearest hundred thousand. List the possible digits that could go in the ten thousands place to ma

aleksklad [387]

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3 years ago

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Tickets for a minor league baseball game for an adult and two children cost a total of $21 the adult ticket is three dollars mor

oksian1 [2.3K]

Answer:the cost of one child's ticket is $6

the cost of one adult ticket is $9

Step-by-step explanation:

Let x represent the cost of one child's ticket

Let y represent the cost of one adult ticket.

Tickets for a minor league baseball game for an adult and two children cost a total of $21. This means that

2x + y = 21 - - - - - - - - - - 1

The adult ticket is three dollars more than a child's ticket. This means that

y = x + 3

Substituting y = x + 3 into equation 1, it becomes

2x + x + 3 = 21

3x + 3 = 21

3x = 21 - 3 = 18

x = 18/3 = 6

y = x + 3 = 6 + 3

y = 9

6 0

3 years ago

Enter your answer and show all the steps that you use to solve this problem in the space provided.

rodikova [14]

Answer:

$\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}$

Step-by-step explanation:

f(x) = 9x³ + 2x² - 5x + 4; g(x)=5x³ -7x + 4

Step 1. Calculate the difference between the functions

(a) Write the two functions, one above the other, in decreasing order of exponents.

ƒ(x) = 9x³ + 2x² - 5x + 4

g(x) = 5x³ - 7x + 4

(b) Create a subtraction problem using the two functions

ƒ(x) = 9x³ + 2x² - 5x + 4

-g(x) = <u>-(5x³ - 7x + 4) </u>

ƒ(x) -g(x)=

(c). Subtract terms with the same exponent of x

ƒ(x) = 9x³ + 2x² - 5x + 4

-g(x) = <u>-(5x³ - 7x + 4) </u>

ƒ(x) -g(x) = 4x³ + 2x² + 2x

Step 2. Factor the expression

y = 4x³ + 2x² + 2x

Factor 2x from each term

y = 2x(2x² + x + 1)

$\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}$

5 0

2 years ago

Are the two triangles similar?

Tpy6a [65]

Answer:

Option B Yes by AAA

Step-by-step explanation:

we know that

If the two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

$\frac{HM}{MK}=\frac{GM}{MJ}$

substitute the values and verify

$\frac{8}{12}=\frac{6}{9}$

simplify

$\frac{2}{3}=\frac{2}{3}$ -------> is true

therefore

The triangles are similar by AAA------> the three angles are congruent

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3 years ago

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2 years ago