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1 year ago

What is the y-value of the vertex of 4x^+ 8x - 8?

Mathematics

1 answer:

deff fn [24]1 year ago

5 0

Answer: The y-value of the vertex is

Step-by-step explanation: we know that

The equation of a vertical parabola into vertex form is equal to

where

(h,k) is the vertex of the parabola

In this problem we have

-----> this a vertical parabola open upward

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side

Rewrite as perfect squares

The vertex is the point

The y-value of the vertex is

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Calculus. Find the area.

matrenka [14]

Answer:

8/3 square units.

Step-by-step explanation:

First, visualize the area. You can refer to the attachment below.

To find the area then, we will integrate y from x = 0 to x = 2. Therefore:

$\displaystyle A=\int_0^2x^2\, dx$

Integrate:

$\displaystyle A=\frac{1}{3}x^3\Big|_{0}^2$

Evaluate:

$\displaystyle A=\frac{1}{3}[2^3-0^3]=\frac{1}{3}(8)=\frac{8}{3}$

The area is 8/3 square units.

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2 years ago

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Hint: the distance on the map from Charlotte to<br> Winston-Salem is 1.6 cm.

Kobotan [32]

Answer:

120km

Step-by-step explanation:

If 1cm=75 km then 1.6cm=120km

Just multiply 1.6 with 75

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3 years ago

What's the answer to 16-n=25 in mathematics equation

galina1969 [7]

Answer:-9

Step-by-step explanation:25-16=9

9+16=25

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3 years ago

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What is 0.625 as a fraction

Mashutka [201]

Answer:

5/8

Step-by-step explanation:

.625 can equal 625/1000

and you can shrink the answer down with simplification.

cause you can divide both numerator and denominator by 5

625/1000 = 125/ 200

And we can divide both sides again by 5.

125/ 200 = 25/ 40

and we can divide both sides again by 5 once again.

25/ 40 = 5/ 8

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3 years ago

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A path is traced from point A to point B by using the segments shown in the diagram. Paths are traced only upwards, to the right

balu736 [363]

Step-by-step answer:

If one is constrained to move to the right, or up, or diagonally upwards (i.e. remain in the first quadrant), then

there are three choices at A.

At the next position, whichever path one has taken, there are also three choices.

At the following position, there are no more choices.

Therefore, there are 3*3 = 9 different paths.

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3 years ago