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kolezko [41]
2 years ago
7

Using the equation x+3, write one equation that has one solution, one equation that has no solution, and one equation that has i

nfinitely many solutions
Mathematics
1 answer:
neonofarm [45]2 years ago
8 0

9514 1404 393

Answer:

  • one: x+3 = 2x
  • none: x+3 = x
  • infinite: x+3 = x+3

Step-by-step explanation:

A linear equation with variable terms on opposite sides of the equal sign will have one solution when the coefficients of those variables are different.

  x+3 = 2x . . . . has one solution (x=3)

__

There will be no solution if the variable terms on opposite sides of the equal sign have the same coefficient, but the constants are different. Such an equation can be reduced to 0 = 1, which cannot be made true by any value of the variable.

  x +3 = x . . . . has no solutions

__

There will be an infinite number of solutions if the left side of the equal sign is the same as the right side. Every value of the variable will satisfy the equation.

  x +3 = x +3 . . . . has infinite solutions

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Write 2 1/2 miles in 3/4 hour as a unit rate
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3 1/3 mph

Step-by-step explanation:

2.5 ÷ 0.75 = 3.3

or

5/2 ÷3/4 = 5/2 · 4/3 = 20/6 or 10/3 = 3 1/3

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2 years ago
Can someone help me with this math homework please!
jolli1 [7]

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(-3,-6) and (-3,2)

Step-by-step explanation:

A line with an undefined slope is vertical. In this case it must have x coordinates equal to -3

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3 years ago
I need so much help !!!!!!!!!!!<br> !!
lbvjy [14]
Linear because the x are not repeating
AN EXAMPLE OF NON LINEAR”0,1,2,2,” AN EXAMPLE OF LINEAR”0,1,2,3” the non linear the x repeat so the answer is linear
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2 years ago
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True or False: If your expression contains more than one set of parentheses, you should evaluate all of them
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4 0
3 years ago
The circumference of Circle K is pi. The circumference of Circle L is 4xpi.
dmitriy555 [2]

Answer:

Ratio of circumferences: \displaystyle\frac{1}{4}

Ratio of radii: \displaystyle\frac{1}{4}

Ratio of areas: \displaystyle\frac{1}{16}

Step-by-step explanation:

Hi there!

We are given:

- The circumference of Circle K is \pi

- The circumference of Circle L is 4\pi

Therefore, the ratio of their circumferences would be:

\displaystyle\frac{\pi}{4\pi} ⇒ \displaystyle\frac{1}{4} when simplified

The formula for circumference is C=2\pi r, where <em>r</em> is the radius. To find the ratio of the circles' radii, we must identify their radii through their given circumferences.

If the circumference of Circle K is \pi, or 1\pi, then its radius is \displaystyle\frac{1}{2}.

If the circumference of Circle L is 4\pi, then its radius is \displaystyle\frac{4}{2}, which is 2.

Therefore the ratio their radii would be:

\displaystyle\frac{\frac{1}{2}}{{2}} ⇒ \displaystyle\frac{1}{2}*\frac{1}{2} ⇒ \displaystyle\frac{1}{4} when simplified

The formula for area is:

A=\pi r^2

First, let's find the area of Circle K:

A=\pi (\displaystyle\frac{1}{2})^2\\\\A=\displaystyle\frac{1}{4}\pi

Now, let's find the area of Circle L:

A=\pi (2)^2\\A = 4\pi

Therefore, the ratio of their areas would be:

\displaystyle\frac{\frac{1}{4}\pi}{4\pi} ⇒ \displaystyle\frac{\frac{1}{4}}{4} ⇒ \displaystyle\frac{1}{4} * \frac{1}{4} ⇒ \displaystyle\frac{1}{16} when simplified

I hope this helps!

5 0
2 years ago
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