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3 years ago

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You go to the store to buy icecream. The icecream comes in a cylindrical tub that has a diameter of 5 inches and is 4 inches tal

l.
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1 answer:

telo118 [61]3 years ago

5 0

Answer:78.5

Step-by-step explanation:

First you find the volume of a cylinder then you plug in the answers don't forget that to find the radius you do diameter divided by 2

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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em> $x =4$ </em>

Step-by-step explanation:

<u>First factorize the function</u>

$f (x) = -2x ^ 2 + 16x-30$

<em>Take -2 as a common factor.</em>

$-2(x ^ 2 -8x +15)$

<em>Now factor the expression $x ^ 2 -8x +15$ </em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

<u>Then the vertice is:</u>

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

$x = 4$

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0

3 years ago

The perimeter of a rectangle is 128 cm, and the ratio of its sides is 5: 3. Find the area of a rectangle

blondinia [14]

Answer:

Area of the rectangle = $15 cm^2$

Step-by-step explanation:

Perimeter of the rectangle= 128 cm

Ratio of length to width is:

$\frac{Length}{Width}= \frac{5}{3} \\\\Length=5 cm\\\\Width=3 cm$

Area of the rectangle= Length*Width

$=5cm*3cm\\\\=15cm^2$

Area of the rectangle = $15 cm^2$

7 0

3 years ago

Read 2 more answers

If one mile is aprox 1.6 kilometers the how many miles is the race

vodka [1.7K]

I need to know how many miles the race is

5 0

2 years ago

A square painting painting is surrounded by a frame. the outside edges of the frame are 3 inches in length, and the frame is 3 i

sdas [7]

Answer:

Area = 36 $inches ^ 2$

Step-by-step explanation:

There must be an error with the statement, because it is strange that the length of the frame is equal to its thickness.

Assuming that the data supplied is correct, we can do the following procedure.

Let's call L the length of the frame.

We know how much each side of the square measures.

L = 3 inches

We also know that the thickness (s) is:

s = 3 inches.

Then the area of the frame is equal to:

Area = Perimeter * thickness

Area = 4L*s

Area = 3*4*3

Area = 36 $inches ^ 2$

3 0

3 years ago

12.) You purchased a scooter for $6,800 when it was on sale for 30% off. What was the original price of thescooter?

Rina8888 [55]

SOLUTION:

Case: Percentages

Method:

The sale price after 30% off is $6800

Let the original price be 'x'

30% off means 70% of the original price

$\begin{gathered} \frac{70}{100}\times x=6800 \\ 0.7x=6800 \\ x=\frac{6800}{0.7} \\ x=9714.2857 \end{gathered}$

Final answer: (Nearest cents)

The original price was $9714.29

4 0

1 year ago