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3 years ago

Which of the following equations have infinitely many solutions?

Mathematics

1 answer:

agasfer [191]3 years ago

8 0

Answer:

All of the equations seem to have infinitely many solutions.

Step-by-step explanation:

Since the same equations are equal to each other, whatever you replace x with, it will be equal to the other equation's solution since all answers have equations equal to each other.

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Find the equation of the line through the points (0, –3) and (4, 5)

vekshin1

Answer:

y=2x-3

Step-by-step explanation:

Hi there!

We are given the points (0, –3) and (4, 5)

We want to find the equation of the line between these points

There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

To write the equation of the line in this way, we need to first find the slope of the line
The slope can be found using the formula $\frac{y_2-y_1}{x_2-x_1}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are points

We already have 2 points, but let's label their values to avoid confusion and mistakes when calculating.

m= $\frac{y_2-y_1}{x_2-x_1}$

m= $\frac{5--3}{4-0}$

Simplify

m= $\frac{5+3}{4-0}$

m= $\frac{8}{4}$

Divide

m=2

We found the slope of the line.

Here is the equation of the line so far:

y=2x+b

Now let's find b

As stated before, b is the y intercept of the line, which is the point where the line passes through the y axis; the value of x at the y intercept is 0

One of the points we were given (0, -3) is actually the y intercept of the line!

The value of b is the value of y at the y intercept; in this case, b is equal to -3

Now substitute -3 as b in the equation.

y=2x-3

Hope this helps!

See more on this topic here: brainly.com/question/27172025

5 0

2 years ago

PLEASE HELP ME!!!! WILL REWARD BRAINLIEST!!!!!

Sergeu [11.5K]

Answer:

-4 and -2.

Step-by-step explanation:

First of all,... OH MAN,... that is serious brain twisting logic (if you can call it logic) and to be fair I had to ask a math expert person I'm acquainted with,... cause I didn't know either,... so nothing to be ashamed about,...

If we let 2x equal the lesser of the two consecutive EVEN integers, and we let y equal 2x+2 be the greater of the two consecutive EVEN integers,

(For example, this is like x = 1, so 2x=2, y=4 or x=7, so 2x=14 and y=16, we add 2 to the lesser even integer to get the next CONSECUTIVE even integer.)

This, y=2x+2, is one of the equations we need. To get the other,

"Four times the lesser (4*2x) is (=) 12 less (-12) than twice the greater (2y)."

Doing it all in math, we get:

4(2x) = 2y - 12

This simplifies to:

8x = 2y - 12

And using the first equation (y=2x+2) we can substitute "2x+2" in for "y"

8x = 2(2x + 2) - 12

Simplify the right side by first distributing:

8x = 4x + 4 - 12

Combine like terms on the right.

8x = 4x - 8

Subtract 4x from both sides

4x = -8

Divide both sides by 4

x= -2

Remember, our lesser even integer is 2x, so the lesser integer is 2*(-2)= -4, the greater is (-4)+2= -2.

Final answer: The two consecutive even integers are -4 and -2.

To be even more fair I don't fully understand this completely either,... he explained it to me and I and <em>getting</em> it,... so anyway,... Hope it helps, and

Chow,...!

5 0

3 years ago

Please help .. with this.. it’s math.. asap

alekssr [168]

Option D. ..........………

4 0

3 years ago

Read 2 more answers

Will give brainliest -8(3n-1)-8n plz help asap

cricket20 [7]

Answer:

-32n+8

Step-by-step explanation:

-8(3n-1)-8n

=-24n+8-8n

=-32n+8

hope it helped :)

6 0

3 years ago

Read 2 more answers

the value of a famous painting is increasing at a rate of 6% per year and has a value of 800000 in the year of 2000. what is the

rjkz [21]

I'm not 100% sure but I think this is how you solve it:
1. 800,000 x 0.06 = 48,000
2. 48,000 x 17 = 816,000
3. 800,000 + 816,000 = 1,616,000
The painting is worth $1,616,000 in 2017.

3 0

3 years ago