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PIT_PIT [208]
3 years ago
7

The equation y=x^2-12x+45 models the number of books y sold in a bookstore x days after an award-winning author appeared at an a

utograph-signing reception. What was the first day that at least 100 copies of the book were sold?
Mathematics
1 answer:
romanna [79]3 years ago
7 0
Answer: The first day the author reaches 100 days is on day 16.

To solve this problem, you could use a graphing calculator to graph the given equation. Then, determine when this line crosses 100. It crosses when x = 15.539. Therefore, we would have to round up to 16 so it is at least 100.

You could use the quadratic equation to solve: 100 = x^2 -12x + 45

Either you will get 16. If you use the quadratic formula, make sure to only use the positive answer.
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A rectangular painting by Leonardo da Vinci measured 62cm along its diagonal. If the painting has a height of 42 cm how wide is
IRINA_888 [86]

ANSWER

45.6cm to the nearest tenth.

EXPLANATION

The diagonal of the rectangular painting is 62cm.

The height of the painting is 42 cm.

The height of the painting h , the diagonal, and the width of the painting forms a right triangle with the diagonal being the hypotenuse.

From the Pythagoras Theorem,

{w}^{2}  +  {42}^{2}  = {62}^{2}

{w}^{2} = {62}^{2} -  {42}^{2}

{w}^{2}  = 2080

{w} =  \sqrt{2080}

w = 4 \sqrt{130}

The width of the painting is 45.6cm to the nearest tenth.

4 0
3 years ago
Find the center, vertices, and foci of the ellipse with equation x squared divided by 400 plus y squared divided by 625 = 1
Inessa05 [86]

Answer:

x^2/400 + x^2/625

(x-0)^2/400) +(y-0^2/625)

x^2=400

X=sqrt. 400

x = 20

y^2=625

y = sqrt. 625

y= 25

a^2-c^2=b^2

sqrt 400-625 = c

20-25=c

The correct answer is c=-5

(-5,0)

(5,0)

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Dimensions definition
Travka [436]
Marie has a small copy of Rene margrittes famous painting. The Schoolmasters. Her copy has dimensions of 2 inches by 1.5 inches. The scale of her copy is 1 inch:40 cm What is the dimensions of the original painting?


Every 1 inch on her copy is the same as 40 cm on the original. 
You just have to multiply by 40 and convert to centimetres.

2 x 40 = 80
1.5 x 40 = 60

So the original painting is:
80cm by 60cm
3 0
3 years ago
3.3x10^-3 in standard notation
const2013 [10]
First you do the exponents so 10^-3 is:

1/10^3 (change it so it is not a negative exponent, so make it its reciprocal)

1/(10*10*10) = 1/1000 = 0.001
4 0
3 years ago
40 students at a particular school are randomly selected for a survey. 18 have blue eyes. If there are 400 students at this scho
podryga [215]
A reasonable estimate would be 180 students with blue eyes
7 0
2 years ago
Read 2 more answers
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