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andrey2020 [161]
3 years ago
11

Solve equation for the x

Mathematics
1 answer:
Alenkasestr [34]3 years ago
3 0
We can either use the quadratic formula or completing the square.

I'll use the method if completing the square.

x^2 + 10x + 12 = 36

Move the constant over to the other side.

x^2 + 10x = 24

Add (b/2)^2 to both sides.

x^2 + 10x + (10/2)^2 = 24 + (10/2)^2

x^2 + 10x + 5^2 = 24 + 5^2

x^2 + 10x + 25 = 24 + 25

Factor the left side and add the terms on the right side

(x+5)(x+5) = 49

(x+5)^2 = 49

Find the square root of both sides.

x + 5 = +/- 7

Move 5 over to the other side by subtracting it.

x = -5 + -7 = -12

OR

x = -5 - (-7) = 2

So x = -12 or x = 2.


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During a bike challenge riders have to collect various colored ribbons each half mile they collect a red ribbon each 8th mile th
soldi70 [24.7K]

Answer:

Green and Blue ribbon

Step-by-step explanation:

Given

They collect

Red Ribbon = ½ mile

Green Ribbon = ⅛ mile

Blue Ribbon = ¼ mile

To find?

Which colors of ribbons will be collected at the ¾ mile mark.

The interpretation of the question is to test which of the above fractions can divide ¾ without a remainder; in other words, multiples of ¾.

Testing each fraction.

Red Ribbon = ½

¾ ÷ ½

= ¾ * 2

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This is not an exact multiple of ¾. So, the red ribbon won't be passed here.

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= ¾ * 8

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= 3

This is an exact multiple of ¾. So, the green ribbon will be collected.

Testing the last ribbon

Blue = ¼

¾ ÷ ¼

= ¾ * 4

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This is an exact multiple of ¾. So, the blue ribbon will be collected.

Hence, the green and blue ribbons will be collected at ¾ mile mark

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3 years ago
F(x)=2x/3x^2-3 what is the domain of the function?
konstantin123 [22]

Answer:

Step-by-step explanation:

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I Hope I've helped you.

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Is the square root of 3 rational or irrational
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The square root of three is irrational.

Step-by-step explanation:

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