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3 years ago

If possible, determine the slope. 5 + 2x = 2 + 3x

Mathematics

2 answers:

Citrus2011 [14]3 years ago

8 0

This is not a straight line rather number line.

Kryger [21]3 years ago

4 0

Equations with two variables produce graphs that are lines. If the line on the graph
is straight, then it has one slope at every point on it. If the line on the graph has any
curves in it, then it has different slopes at different points on it. That's for equations
with two variables.

The equation in this question only has one variable, and it only produces a number . . . the number that 'x' must be in order to make the equation a true statement. It's
not too hard to find:

5 + 2x = 2 + 3x

Subtract 2x from each side:

5 = 2 + x

Subtract 2 from each side:

3 = x

And that's it. 'x' is 3.

If you want to graph that, then what you get is a vertical line on the graph.
It crosses the x-axis at the point where 'x' is 3 .

The slope of a vertical line is 'undefined', just like the slope of a brick wall.
That means that some people would look at it and call it "infinity", but in real
math, it's just 'undefined' ... it has no name at all.

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I need answers to this

ololo11 [35]

Answer:

x = -5, and y = -6

Step-by-step explanation:

Suppose that we have two equations:

A = B

and

C = D

combining the equations means that we will do:

First we multiply both whole equations by constants:

k*(A = B) ---> k*A = k*B

j*(C = D) ----> j*C = j*D

And then we "add" them:

k*A + j*C = k*B + j*D

Now we have the equations:

-x - y = 11

4*x - 5*y = 10

We want to add them in a given form that one of the variables cancels, so we can solve it for the other variable.

Then we can take the first equation:

-x - y = 11

and multiply both sides by 4.

4*(-x - y = 11)

Then we get:

4*(-x - y) = 4*11

-4*x - 4*y = 44

Now we have the two equations:

-4*x - 4*y = 44

4*x - 5*y = 10

(here we can think that we multiplied the second equation by 1, then we have k = 4, and j = 1)

If we add them, we get:

(-4*x - 4*y) + (4*x - 5*y) = 10 + 44

-4*x - 4*y + 4*x - 5*y = 54

-9*y = 54

So we combined the equations and now ended with an equation that is really easy to solve for y.

y = 54/-9 = -6

Now that we know the value of y, we can simply replace it in one of the two equations to get the value of x.

-x - y = 11

-x - (-6) = 11

-x + 6 = 11

-x = 11 -6 = 5

-x = 5

x = -5

Then:

x = -5, and y = -6

5 0

3 years ago

Find the sum that amounts to Rs 9,144 in 3 years at 9% per year simple interest.

Hunter-Best [27]

Given:

Amount = Rs. 9,144

Time = 3 years.

Rate of simple interest = 9%

To find:

The principal value.

Solution:

The formula for simple interest is:

$I=\dfrac{P\times r\times t}{100}$

Where, P is principal, r is the simple rate of interest, and t is the number of years.

Putting $r=9,t=3$ in the above formula, we get

$I=\dfrac{P\times 9\times 3}{100}$

$I=\dfrac{27P}{100}$

$I=0.27P$

We know that,

$\text{Amount}=\text{Principal + Interest}$

$9144=P+0.27P$

$9144=1.27P$

Divide both sides by 1.27, we get

$\dfrac{9144}{1.27}=P$

$7200=P$

Therefore, the principal value is Rs. 7200.

8 0

3 years ago

Evaluate f(x)=4x+1 when x=−1, x=0, and x=3.

larisa86 [58]

Answer:

when

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

6w-19 + k when w=8 and k = 2

ddd [48]

Answer:

31.

Step-by-step explanation:

1. Write out the problem.

6w-19 + k; w=8 and k=2

2. Figure out the first part of the problem.

So, if w=8 and 6 and w are next to each other, we should multiply 6*8, which is 48. Next, it says to subtract 19. 48-19=29.

3. Find out what the last part of the problem is.

Since the first part of the problem is 29 and k=2, we should add 29+2=31, which is the final answer.

Hope this helped :)

3 0

4 years ago

Read 2 more answers

This assignment is due tomorrow please help :(

Mariulka [41]

The answer would be 9 units squared hope this helped(:

6 0

3 years ago

Read 2 more answers