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PIT_PIT [208]
4 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]4 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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Find the coordinates of the midpoint of the segment whose endpoints are R(9, 3) and S(-1, -9).
amm1812

Answer:

(4, -3 )

General Formulas and Concepts:

<u>Pre-Algebra I</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Midpoint Formula: (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )

Step-by-step explanation:

<u>Step 1: Define</u>

R (9, 3)

S (-1, -9)

<u>Step 2: Find midpoint</u>

  1. Substitute:                    (\frac{9-1}{2}, \frac{3-9}{2} )
  2. Subtract:                       (\frac{8}{2}, \frac{-6}{2} )
  3. Divide:                          (4, -3 )
4 0
3 years ago
When 6 is subtracted from the square of a number, the result is 5 times the number. Find the POSITIVE solution.
valkas [14]

:) Brainliest pls??

Answer:

The positive solution is 6.

Step-by-step explanation:

x^2 - 6 = 5x (Subtract 5x from both sides)

x^2 -5x - 6 = 0 (We can factor this, so there is no need to use the quadratic formula)

(x - 6)(x + 1) = 0

If the product of the two terms is zero then either one being equal to zero will cause the whole expression to be zero.

The solutions are:

x - 6 = 0 (Add 6 to both sides)

x = 6

x + 1 = 0 (Subtract 1 from both sides)

x = -1

The positive solution is 6.

6 0
3 years ago
How can I anwser this ?? help me
lana [24]
Exactly like the previous question you posted.

-3x² - 9x = 0

Divide each side of the equation by -3 :

x² + 3x = 0

Factor the left side:

x (x + 3) = 0

This is true if x=0 or if x=-3 .
8 0
3 years ago
Read 2 more answers
Write the following inequality in slope-intercept form -6x+2y is greater than on equal to 42
andreyandreev [35.5K]

Answer:

\large\boxed{y\geq3x+21}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

-6x+2y\geq42\qquad\text{add}\ 6x\ \text{to both sides}\\\\2y\geq6x+42\qquad\text{divide both sides by 2}\\\\y\geq3x+21

4 0
4 years ago
Tommy pays $550 dollars for a new cell phone plus $121-dollar monthly fee (1) for data. Write an
VladimirAG [237]

Answer:

C=550+121m

Step-by-step explanation:

M equals the number of months while C equals the cost

4 0
3 years ago
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