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ANTONII [103]
3 years ago
7

Which of the following is the equation of the quadratic function below?

Mathematics
1 answer:
exis [7]3 years ago
7 0

Answer:

A. y = x² - 9x + 18

Step-by-step explanation:

The key thing to look for in this graph is the <u>y-intercept</u> (where the graph will hit the y-axis).

We can't see exactly where y-intercept is, but we know it is a positive number.

In a standard form quadratic equation:

<em>y = ax² + bx + <u>c</u></em>

'<em>c</em>' tells you what the y-intercept is.

The choices with positive y-intercept are <u>A</u> and <u>B</u>.

Again, we can't see exactly where y-intercept is, but we know it is not 1.

y = x² - 9x + 18

has a positive y-intercept that is not 1,

thus the answer is A.

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. The two bottles are similar in shape. The larger bottle holds 100 m/ of perfume. Calculate how many millilitres of perfume the
FromTheMoon [43]

Answer:

The smaller bottle holds 12.5 ml of perfume.

====================

<h2>Given</h2>

  • Two bottles of similar shape;
  • Larger bottle has volume of 100 ml;
  • The length of larger bottle is 10 cm;
  • The length of smaller bottle is 5 cm.

<h2>To find </h2>

  • The volume of smaller bottle.

<h2>Solution</h2>

Find the scale factor, the ratio of corresponding dimensions:

  • k = 5/10 = 1/2

We know the volume is the function of three dimensions, therefore the ratio of volumes is the cube of the scale factor:

  • V_{small}/V_{large} = k^3\\

Substitute the known values and find the volume of small bottle:

  • V_{small}/100= (1/2)^3\\
  • V_{small}/100= 1/8
  • V_{small}= 1/8*100=12.5

The smaller bottle holds 12.5 ml of perfume.

4 0
1 year ago
Read 2 more answers
What area is this composite figure??
klemol [59]

This composite figure consists of a right triangle and semicircle

The area of a triangle is: 1/2(bh)

The area of a semicircle is 1/2(pi)(r²)

Plug in the values:


1/2( 12)(8)

=48


1/2(3.14)(4²)

=25.12


25.12+48=73.12


Hope this helped :)


3 0
3 years ago
Write the first five terms of the sequence in which the nth term is
ziro4ka [17]

Answer:

C) 2,6,24,120,720

Step-by-step explanation:

Here the n-th term An = \frac{(n +2)!}{n + 2}

A1 is the first term

A1 = (1 + 2)!/(1 + 2)

= 3!/3

A1 = 2

A2 is the second term

A2 = (2 +2)!/(2 +2)

= 4!/4

A2 = (1*2*3*4) /4

A2 = 6

A3 is the third term

A3 = (3 + 2)!/(3 +2)

A3 = 5!/5

A3 = 24

A4 is the fourth term

A4 = (4 + 2)!/(4 + 2)

A4 = 6!/6

A4 = 120

A5 is the fifth term

A5 = (5 + 2)!/(5 +2)

A5 = 7!/7

A5 = 720

Answer: C) 2,6,24,120,720

Thank you.

8 0
3 years ago
The formula to find the surface area of a sphere is to take the radius of the sphere and square it and multiply that amount by p
yawa3891 [41]
500=4πr^2. first divide 500 from four which will equal 125, then divide 125 with π and it will equal 39.788 . finally √39.788. the answer will be r=6.3 or 6
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3 years ago
How is 52.86 said in word form
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Fifty-two and eighty-sixth hundredths. 
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