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2 years ago

What is the vertex of the graph of y = x^2+ 4x?

Mathematics

1 answer:

xxTIMURxx [149]2 years ago

6 0

Answer:

(-2, -4)

Step-by-step explanation:

You can complete the square of the equation to get

y+(4/2)^2 = x^2+4x+(4/2)^2

y+4 = x^2 + 4x + 4

y+4 = (x+2)^2

y = (x+2)^2 - 4

This gives the form y = a(x-h)^2 + k where (h, k) is the vertex of the equation. You can also arrive at the same conclusion by making some observations of the equation. (x+2)^2 minimum value is going to be 0 since and negative values resulting from x+2 is going to become positive because of the square. So the minimum value is when x+2 is 0 or when x is equal to -2 and when it's at that minimum value of 0 it's going to have 4 subtracted from it which gives the vertex of (-2, -4)

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3 years ago

I need help with three and four

mart [117]

Answer:

3: $a^{2}+2ab+b^{2}$

4: $8x^{3} -12x^{2}+6x-1$

Step-by-step explanation:

Question 3 can be re-written as:

$(a+b)(a+b)$

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$a^{2}+2ab+b^{2}$

Question 4 can be re-written as:

$(2x-1)(2x-1)(2x-1)$

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$(4x^{2} -4x+1)(2x-1)$

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2 years ago

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Kimane and a friend picked apples. Kimane picked 4 2/3 and his friend picked 5 5/6 pounds. About how many pound of apples do the

Gala2k [10]

Answer:

$9\dfrac{1}{2}$

Step-by-step explanation:

To find many more pounds of apples Kimane and his friend needs to get, we first need to find out how many pounds of apples they picked together.

Kimane = $4\dfrac{2}{3}$

Friend = $5\dfrac{5}{6}$

We add them together to find out how many pounds of apples they currently have.

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Just to make the equation clearer, we separate the whole numbers from the fractions.

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We multiply both the numerator and denominator by 2 to have the same denominator.

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Now that we know how many pounds Kimane and his friend collected, we simply subtract 20 and the total amount Kimane and his friend had already collected.

$20-10\dfrac{1}{2}$

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So Kimane and his friend still need to get $9\dfrac{1}{2}$ more pounds of apples to get 20 pounds of apples.

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