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Oxana [17]
3 years ago
12

Solve b²-4b+4=0 using the quadratic formula PLEASE EXPLAIN HAS TEST ON FRIDAY!!

Mathematics
2 answers:
kolbaska11 [484]3 years ago
8 0

Answer:

b = 2

Step-by-step explanation by completing the square:

Solve for b over the real numbers:

b^2 - 4 b + 4 = 0

Write the left hand side as a square:

(b - 2)^2 = 0

Take the square root of both sides:

b - 2 = 0

Add 2 to both sides:

Answer:  b = 2

pickupchik [31]3 years ago
4 0

I'm going to use x in place of b. The reason why is because 'b' shows up in the quadratic formula, so there might be some confusion.

So we want to solve x^2 - 4x + 4 = 0 for x

Note how this equation is the same as 1x^2 - 4x + 4 = 0 and it is in the format ax^2 + bx + c = 0

We see that a = 1, b = -4 and c = 4

We will plug these values into the discriminant formula

d = b^2 - 4ac

d = (-4)^2 - 4(1)(4)

d = 16 - 16

d = 0

The discriminant is 0, so the square root of this is also 0. A discriminant of 0 means that there is only one real solution.

It turns out that the solution is equal to x = -b/(2*a) = -(-4)/(2*1) = 4/2 = 2

If the discriminant were nonzero, then the quadratic formula would be a bit messier.

It might be better to factor. Doing so gets you (x-2)^2 = 0 which becomes x-2 = 0 and x = 2

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3 years ago
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kramer

Answer:

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Step-by-step explanation:

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5 0
3 years ago
The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n +C. What does the graph te
MAXImum [283]

Answer:

  C.  <em>c</em> is less than zero

Step-by-step explanation:

The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.

<h3>Function transformation</h3>

The transformation of the parent function y=x^(1/n) into the function ...

  f(x) = a(x +k)^(1/n) +c

represents the following transformations:

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<h3>Application</h3>

The location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...

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The graph says the value of c is less than zero.

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<em>Additional comment</em>

Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...

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8 0
2 years ago
12. If 5t + 2 = 6, then t =
tankabanditka [31]
It would be t=0.8, mainly bc you subtract two from six , that reduces it to four 
then you divide four by five and it should give you your answer
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6 0
4 years ago
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KengaRu [80]

Answer:

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Step-by-step explanation:

The problem is a little bit messy, but i’m guessing you meant that the elf ate 35% of the muffins, which 35% is 710 muffins. so since 35% of muffins is 710 muffins, let’s multiply that by 2 so we can get 70%.

so 710 x 2 is 1420. so 70% of the muffins is 1420 muffins! sadly that’s not all of the muffins. we’re still missing another 30%. since we don’t know how many muffins are in 30%, let’s just take 710 muffins - 5%. when you do that you get 674.5. so now that we know how much is in 30%, let’s take 1420 + 674.5. when you do that you get 2094.5! so you started off with 2094 and a half muffins!

6 0
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