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3 years ago

A student said that x = 4 was not a solution to the question 3(x -6) = -8

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

6 0

Answer:

Step-by-step explanation:

3 (4 -6) = -8 is correct. The next step is to combine 4 and -6, obtaining

3(-2)

and this 3(-2) should equal -6, which is not the same as -8.

3(4 - 6) = 12 - 18, which differs from the student's solution. This is the reason for the wrong answer.

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(X+2)(4x-3) multiply place in descending powers

VMariaS [17]

Multiplying out the equation (x + 2)(4x - 3) and arranging in descending powers order gives us the quadratic form as; 4x² + 5x - 6

<h3>How to expand quadratic equations?</h3>

We want to expand the quadratic equation given as;

(x + 2)(4x - 3)

Multiplying out gives us;

4x² + 8x - 3x - 6

⇒ 4x² + 5x - 6

Thus, we can conclude that multiplying out the equation (x + 2)(4x - 3) and arranging in descending powers order gives us the quadratic form as; 4x² + 5x - 6

Read more about Quadratic equations at; brainly.com/question/1214333

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7 0

2 years ago

Hi, teacher I was absent these days and I didn’t understand anything about this lesson and I need help this is not count as a te

motikmotik

Given:

There are given that the cos function:

$cos210^{\circ}=-\frac{\sqrt{3}}{2}$

Explanation:

To find the value, first, we need to use the half-angle formula:

So,

From the half-angle formula:

$cos(\frac{\theta}{2})=\pm\sqrt{\frac{1+cos\theta}{2}}$

Then,

Since 105 degrees is the 2nd quadrant so cosine is negative

Then,

By the formula:

$\begin{gathered} cos(105^{\circ})=cos(\frac{210^{\circ}}{2}) \\ =-\sqrt{\frac{1+cos(210)}{2}} \end{gathered}$

Then,

Put the value of cos210 degrees into the above function:

So,

$\begin{gathered} cos(105^{\circ})=-\sqrt{\frac{1+cos(210)}{2}} \\ cos(105^{\operatorname{\circ}})=-\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}} \\ cos(105^{\circ})=-\sqrt{\frac{2-\sqrt{3}}{4}} \\ cos(105^{\circ})=-\frac{\sqrt{2-\sqrt{3}}}{2} \end{gathered}$

Final answer:

Hence, the value of the cos(105) is shown below:

$cos(105^{\operatorname{\circ}})=-\frac{\sqrt{2-\sqrt{3}}}{2}$

4 0

1 year ago

Evaluate the following expression when x=2 and y=3.<br> 6у/x

vfiekz [6]

Answer:

Step-by-step explanation:

6y/x

6*3/2

18/2

8 0

3 years ago

Read 2 more answers

What is the difference in the Volume Formula for a prism and a pyramid. *

Tanzania [10]

Answer:the volume of a prism is the area of the base times the height of the prism. The volume of the pyramid has the same base area and height as the prism, but with less volume than the prism. The volume of the pyramid is one third the volume of the prism.

Step-by-step explanation:

i hope this helps

4 0

3 years ago

A partnership owned equally by 16 partners is worth $1.6 million. The partnership loses a lawsuit worth $6 million. What is the

Marizza181 [45]

Answer:

6250

Step-by-step explanation:

if each partner has a even number of money from 1.6 million, that each person had $100,000, and to pay the lawsuit evenly than each person will have to pay $6250.

1.6 mill divided by 16= 100,000

6 mill divided by 16= 6250.

4 0

3 years ago