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3 years ago

Simplify: x(x-2)-3x(2x-1)

Mathematics

2 answers:

n200080 [17]3 years ago

6 0

Answer:

x^2-2x-6x^2+3x

x^2+x-6x^2

-5x^2+x

julsineya [31]3 years ago

4 0

Answer:

-5x^2 +x

Step-by-step explanation:

x(x-2)-3x(2x-1)

Distribute

x^2 -2x -6x^2 +3x

Combine like terms

-5x^2 +x

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23. Angle F and G and Hare the angles of a triangle. Angle G is 8 more than twice angle'F.

vlabodo [156]

Answer: Your asnwer would be........................... 278

Step-by-step explanation: Angle F stands for numbers alll the letters do so if we were to understand all the coordnation then multiply them together you would get 278. However if this way was too hard can explane it on YT so come check out my three channels CAMERON the OG Football madnesss X and math nerds sub to all and check out my latest vid on Math nerds that will help you and you can also help me by subscribing

5 0

2 years ago

Which equation is y = –6x^2 + 3x + 2 rewritten in vertex form? y = negative 6 (x minus 1) squared + 8 y = negative 6 (x + one-fo

mart [117]

Answer:

$y = -6(x - \frac{1}{2})^2 -\frac{7}{2}$

Step-by-step explanation:

Given:

$y = -6x^2 + 3x + 2$

Required

Rewrite in vertex form

The vertex form of an equation is in form of: $y = a(x - h)^2+ k$

Solving: $y = -6x^2 + 3x + 2$

Subtract 2 from both sides

$y - 2 = -6x^2 + 3x + 2 - 2$

$y - 2 = -6x^2 + 3x$

Factorize expression on the right hand side by dividing through by the coefficient of x²

$y - 2 = -6(x^2 + \frac{3x}{-6})$

$y - 2 = -6(x^2 - \frac{3x}{6})$

$y - 2 = -6(x^2 - \frac{x}{2})$

Get a perfect square of coefficient of x; then add to both sides

------------------------------------------------------------------------------------

Rough work

The coefficient of x is $\frac{-1}{2}$

It's square is $(\frac{-1}{2})^2 = \frac{1}{4}$

Adding inside the bracket of $-6(x^2 - \frac{x}{2})$ to give: $-6(x^2 - \frac{x}{2} + \frac{1}{4})$

To balance the equation, the same expression must be added to the other side of the equation;

Equivalent expression is: $-6(\frac{1}{4})$

------------------------------------------------------------------------------------

The expression becomes

$y - 2 -6(\frac{1}{4})= -6(x^2 - \frac{x}{2} + \frac{1}{4})$

$y - 2 -\frac{6}{4}= -6(x^2 - \frac{x}{2} + \frac{1}{4})$

$y - 2 -\frac{3}{2}= -6(x^2 - \frac{x}{2} + \frac{1}{4})$

Factorize the expression on the right hand side

$y - 2 -\frac{3}{2}= -6(x - \frac{1}{2})^2$

$y - (2 +\frac{3}{2})= -6(x - \frac{1}{2})^2$

$y - (\frac{4+3}{2})= -6(x - \frac{1}{2})^2$

$y - (\frac{7}{2})= -6(x - \frac{1}{2})^2$

$y +\frac{7}{2} = -6(x - \frac{1}{2})^2$

Make y the subject of formula

$y = -6(x - \frac{1}{2})^2 -\frac{7}{2}$

Solved

7 0

3 years ago

Read 2 more answers

If you get this correct I will give you brainlest 5 stars and thanked please help on it

sweet-ann [11.9K]

Answer:

6:7 is 24:x

6:7is18:y

24/6=4. 4*7=28!

Therefore 24 : 28

18/6=3. 3*7=21.

Therefore 18:21

Please brainlest and thanks and 5 star rating! Your welcome and I am so happy to help you!

Step-by-step explanation:

5 0

3 years ago

If you help with the correct answer u are a god .pt2

Brrunno [24]

a. Answer: D: (∞, ∞)

R: (-∞, ∞)

Step-by-step explanation:

Theoretical domain is the domain of the equation (without an understanding of what the x-variable represents).

Theoretical range is the range of the equation given the domain.

c(p) = 25p

There are no restrictions on the p so the theoretical domain is All Real Numbers.

Multiplying 25 by All Real Numbers results in the range being All Real Numbers.

a) D: (∞, ∞)

R: (-∞, ∞)

*********************************************************************************

b. Answer: D: (0, 200)

R: (0, 5000)

Step-by-step explanation:

Practical domain is the domain of the equation WITH an understanding of what the x-variable represents.

Practical range is the range of the equation given the practical values of the domain.

The problem states that p represents the number of cups. Since we can't have a negative amount of cups, p ≥ 0. The problem also states that Bonnie will purchase a maximum of 200 cups. So, 0 ≤ p ≤ 200

The range is 25p → (25)0 ≤ (25)p ≤ (25)200

→ 0 ≤ 25p ≤ 5000

b) D: (0, 200)

R: (0, 5000)

5 0

3 years ago

If 10 candy cost $35. How much candy can I buy with $20

Alika [10]

Answer:

6 candies

Step-by-step explanation:

(find unit rate, cost / quantity)

35/10 = 3.5

20/3.5 = = 5.7142857142857

candies cannot be in decimal so you must round to the nearest whole

8 0

2 years ago