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irinina [24]
3 years ago
11

What is the x-coordinate of the solution of the following system of equations?

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
8 0

The easiest way to solve this is by elimination. 

3x - y = 6 

6x + y = 21

Since you have a negative and positive y with the same coefficients (1), they cancel, and you add the other terms so it would look like:

9x = 27 

Then solving for x leaves you with x = 3 

Then you take the x value of three and plug it into to either of the equations, so 

3(3) - y = 6

9 - y = 6 

subtracting 9 

-y = -3 

then dividing by -1 

y = 3 

so the solution is x = 3 y = 3 or (3,3)

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A body moves s metres in a time t seconds so that s = t3 – 3t2 + 8. Find:
Lady bird [3.3K]

Using derivatives, it is found that:

i) v(t) = 3t^2 - 6t

ii) 9 m/s.

iii) a(t) = 6t - 6

iv) 6 m/s².

v) 1 second.

<h3>What is the role of derivatives in the relation between acceleration, velocity and position?</h3>
  • The velocity is the derivative of the position.
  • The acceleration is the derivative of the velocity.

In this problem, the position is:

s(t) = t^3 - 3t^2 + 8

item i:

Velocity is the <u>derivative of the position</u>, hence:

v(t) = 3t^2 - 6t

Item ii:

v(3) = 3(3)^2 - 6(3) = 27 - 18 = 9

The speed is of 9 m/s.

Item iii:

Derivative of the velocity, hence:

a(t) = 6t - 6

Item iv:

a(2) = 6(2) - 6 = 6

The acceleration is of 6 m/s².

Item v:

t for which a(t) = 0, hence:

6t - 6 = 0

6t = 6

t = \frac{6}{6}

t = 1

Hence 1 second.

You can learn more about derivatives at brainly.com/question/14800626

7 0
2 years ago
Which statement describes the graph of the system of equations below?
insens350 [35]
1.5x + 0.2y = 2.68....multiply by 0.3
1.6x + 0.3y = 2.98...multiply by - 0.2
------------------------
0.45x + 0.06y = 0.804 (result of multiplying by 0.3)
- 0.32x - 0.06y = - 0.596 (result of multiplying by - 0.2)
----------------------add
0.13x = 0.208
x = 0.208/0.13
x = 1.6

1.5x + 0.2y = 2.68
1.5(1.6) + 0.2y = 2.68
2.4 + 0.2y = 2.68
0.2y = 2.68 - 2.4
0.2y = 0.28
y = 0.28/0.2
y = 1.4

solution (they intersect at) (1.6,1.4)
8 0
3 years ago
Read 2 more answers
What is the equation for x in the diagram ?
mrs_skeptik [129]
I believe the answer is a.
7 0
3 years ago
Which number lint represents the solution set for the inequity -1/2x&gt;4
g100num [7]

Answer:

B. x < -8

Step-by-step explanation:

Well first we need to get x by itself.

To do that we do 4 / -1/2 = -8

And since a negative was divided the > changes to a <.

So x<-8.

If x is less than -8 the line starts at -8 and goes to the left.

<em>Thus,</em>

<em>the answer is choice b.</em>

<em />

<em>Hope this helps :)</em>

5 0
3 years ago
(a+b-c)-(b-a-c)<br><br> I NEED IT RN FOR A TEST OR ELSE I AM DEAD FOR LIFE
Zepler [3.9K]

Answer:

<h2><em><u>2a</u></em></h2>

Step-by-step explanation:

(a+b-c)-(b-a-c)

= a + b - c - b + a + c

= a + a + b - b - c + c

= <em><u>2a (Ans)</u></em>

5 0
3 years ago
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