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Sergeu [11.5K]
3 years ago
13

Point Q(2, −1) is rotated 90° clockwise about the origin.

Mathematics
1 answer:
kumpel [21]3 years ago
6 0
(1,-2) hope this helps you :)
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The number of bacteria in a petri dish is 50,000 (on day 0) if the amount is doubling each day by when will the number of bacter
Drupady [299]

Answer:

  • f(x) = 50000*2^x
  • 3 days

Step-by-step explanation:

<u>Given:</u>

  • Initial amount of bacteria = 50000
  • Growth rate = 2 times a day

<u>Required equation:</u>

  • f(x) = 50000*2^x

<u>Solve for x:</u>

  • 400000 = 50000*2^x
  • 2^x = 400000/50000
  • 2^x = 8
  • 2^x = 2^3
  • x = 3

After 3 days bacteria numbers will reach 400000

5 0
3 years ago
A video game arcade offers a yearly membership with reduced rates for game play. A single membership costs $60 per year. Game to
Nastasia [14]

Let

x-------> the number of game tokens purchased for a member of the arcade

y-------> the function of the yearly cost in dollars

we know that

the function y of the yearly cost in dollars is equal to

y =\frac{1}{10} x +60

This is the equation of the line

using a graph tool

see the attached figure

<u>Statements</u>

<u>case a)</u> The slope of the function is $1.00

The statement is False

The slope of the function is equal to \frac{1}{10} \frac{\$}{tokens}

<u>case b)</u> The y-intercept of the function is $60

The statement is True

we know that

The y-intercept of the function is the value of the function when the value of x is equal to zero

so

for x=0

y =\frac{1}{10}*0 +60

y =\$60

<u>case c)</u> The function can be represented by the equation y =(1/10)x + 60

The statement is True

The equation of the function is equal to y =\frac{1}{10} x +60

<u>case d)</u> The domain is all real numbers

The statement is False

The value of x cannot be negative, therefore the domain is the interval

[0,∞)

<u>case e)</u> The range is {y| y ≥ 60}

The statement is True

The range of the function is the interval-------> [60,∞)

see the attached figure

8 0
3 years ago
Read 2 more answers
Can someone help please???
Dovator [93]

Answer:

Length: x + 5

Step-by-step explanation:

x² + 8x + 15 = length × width

x² + 8x + 15

x² + 5x + 3x + 15

x(x + 5) + 3(x + 5)

(x + 5)(x + 3)

Width: (x + 3)

Length: (x + 5)

4 0
3 years ago
The weight of a value indicates its
jarptica [38.1K]

Answer:

mean

Step-by-step explanation:

5 0
3 years ago
1/4 X Plus x equals negative 3 plus 1/2 x
ElenaW [278]
1/4x+4/4x = -6/2x+1/2x
5/4x = -5/2x
x=0
5 0
3 years ago
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