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Alex Ar [27]
3 years ago
9

Find the vertex of the parabola whose equation is y=-2x^2+8x-5. (2,27), (2,19), (2,3)

Mathematics
1 answer:
Basile [38]3 years ago
4 0

Answer:

Vertex of the parabola is (2,3)

Step-by-step explanation:

The parabola is a negative, it opens down and the maximum place it can reach is 3 (y).

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Community gym charges a $50 membership fee ad a $55 monthly fee.
Harlamova29_29 [7]
55+ 50 would be 105 don’t forget the dollar sign when answering
5 0
3 years ago
Eden just bought a trough in the shape of a rectangular prism for her horses. She needs to know what volume of water to add to t
notsponge [240]

The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let w represent the width, hence:

length = w + 33, height = w - 13

Volume (V) = w(w + 33)(w - 13) = w³ + 20w² - 429w

V(w) = w³ + 20w² - 429w

Rate of change = dV/dw = 3w² + 40w - 429

When w = 38, dV/dw = 3(38)² + 40(38) - 429 = 5423

When w = 53, dV/dw = 3(53)² + 40(53) - 429 = 10118

Rate = 10118 - 5423 = 4695 in³/in

The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in

Find out more on equation at: brainly.com/question/2972832

#SPJ1

4 0
1 year ago
The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4 if the perimeter of the triangle is 13.5 inches find the
marissa [1.9K]

Answer:

The shortest side of the triangle is 3 inches.

Step-by-step explanation:

Given:

The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4.

The perimeter = 13.5 inches.

Now, to find the shortest side.

<em>Let the one side be \frac{1}{6}x</em>

<em>And the second side be  \frac{1}{3}x.</em>

<em>And the third side be  \frac{1}{4}x.</em>

According to question:

\frac{1}{6}x+\frac{1}{3}x+\frac{1}{4}x=13.5

⇒\frac{x}{6}+\frac{x}{3}+\frac{x}{4}=13.5

Adding all the variables by taking common denominator we get:

⇒\frac{9x}{12}=13.5

<em>Multiplying both sides by 12 we get</em>:

⇒9x=162

<em>Dividing both sides by 9 we get</em>:

⇒x=18

Thus, <em>the sides of the triangle are</em>:

<u>1/6×18=3 inches.</u>

<u>1/3×18=6 inches.</u>

<u>1/4×18=9/2=4.5 inches</u>.

Therefore, the shortest side of the triangle is 3 inches.

4 0
2 years ago
PLEASE HELP ASAP WILL MARK BRAINLIEST<br><br> Solve the quadratic equation <br> 18x^2 -153x -172 =0
steposvetlana [31]
X=9.51 or x=-1.01 (to 3 sf)
if you want exact value just continue from where i left off from the pic :)
its the quadratic formula i think thats the name of it

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Someone help with this plllzz fast
kupik [55]
Since you have the square root of x, you would need to square it to reverse the square root, and just have x. Then, you would have to square the 4 on the otherside, to get x=16
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3 years ago
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