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3 years ago

Build an equation with at least three different operations that has solution x=2

Mathematics

1 answer:

spayn [35]3 years ago

8 0

Answer: (10x+7)/2 = -13/2

This is not the only answer possible. There are infinitely many possible answers.

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Explanation:

We start with the given equation x = -2

Multiply both sides by some number. I'll pick 10

So if we multiply both sides by 10, we get

10*x = 10*(-2)

10x = -20

Now let's add something to both sides. Let's say we add 7 to both sides

10x+7 = -20+7

10x+7 = -13

Finally, let's divide both sides by 2

(10x+7)/2 = -13/2

You could keep going to add, subtract, multiply, or divide both sides by some number. This process can continue indefinitely. I'll stop here since we have three operations done.

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If we were to solve (10x+7)/2 = -13/2, we would get to x = -2

To solve (10x+7)/2 = -13/2, we follow the steps done in the previous section in reverse.

So we'll undo the "divide both sides by 2" operation by multiplying both sides by 2.

Then we'll undo the "add 7 to both sides" operation to subtract 7 from both sides

Lastly, we'll undo the "multiply both sides by 10" by dividing both sides by 10.

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Use the graph of f '(x) below to find the x values of the relative maximum on the graph of f(x):

Lana71 [14]

Answer:

You have relative maximum at x=1.

Step-by-step explanation:

-Note that f' is continuous and smooth everywhere. f therefore exists everywhere on the domain provided in the graph.

f' is greater than 0 when the curve is above the x-axis.

f' greater than 0 means that f is increasing there.

f' is less than 0 when the curve is below the x-axis.

f' is less than 0 means that f is decreasing there.

Since we are looking for relative maximum(s), we are looking for when the graph of f switches from increasing to decreasing. That forms something that looks like this '∩' sort of.

This means we are looking for when f' switches from positive to negative. At that switch point is where we have the relative maximum occurring at.

Looking at the graph the switch points are at x=0, x=1, and x=2.

At x=0, we have f' is less than 0 before x=0 and that f' is greater than 0 after x=0. That means f is decreasing to increasing here. There would be a relative minimum at x=0.

At x=1, we have f' is greater than 0 before x=1 and that f' is less than 0 after x=1. That means f is increasing to decreasing here. There would be a relative maximum at x=1.

At x=2, we have f' is less than 0 before x=2 and that f' is greater than 0 after x=2. That means f is decreasing to increasing here. There would be a relative minimum at x=2.

Conclusion:

* Relative minimums at x=0 and x=2

* Relative maximums at x=1

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3 years ago

What is probability of randomly selecting a marble and getting black or red? a bag contains 5 black marbles, 10 red marbles, and

seropon [69]

This is a mutually exclusive event because you can't choose both at the same turn you can only pick one or the other. so we add the event chances together,
5/35 + 10/35 = 15/35 or reduced 3/7

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3 years ago

starting at home, nadia traveled uphill to the grocery store for 30 minutes at just 4 mph. she then traveled back home along the

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Distance from home to store = 4 * 0.5 = 2 miles.
Time taken to return home = (2/12) * 60 =10 minutes.
Total distance traveled = 2 * 2 = 4 miles.
Total time taken = 30 + 10 = 40 minutes.
Average speed for entire trip = total distance / total time in hours.
$Average\ speed=\frac{4}{\frac{40}{60}}=\frac{4\times60}{60}=6\ mph$

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3 years ago

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Is 6 (7) + 2 (3²) = 60?

sertanlavr [38]

Answer:

yes 6 (7) + 2 (3²) = 60

Step-by-step explanation:

60 = 60

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2 years ago

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How do you find the missing height of a triangle?

g100num [7]

Answer:

Use the Pythagorean theorem

Step-by-step explanation:

The pythagorean theorem is $a^{2} +b^{2} =c^{2}$ where a is a height, b is a height, and c is the hypotenuse, which is the longest side of a triangle. For example, if the triangle has two side with lengths of three and four we would put them into the equation to get:

$3^{2} +4^{2} =c^{2}$

Simplify the equation to get:

$9+16=c^2$

Add 16 and 9 to get 25 and take the square root of both sides:

$\sqrt{25} =c$

The sqrt of 25 is 5. Therefore, the length of the hypotenuse, or c, is 5.

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3 years ago

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