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mojhsa [17]
3 years ago
12

The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression 2.75+0.10x, where x

is the number of years since 1980.
Which part of the expression corresponds to the cost of movie tickets in 1980?
Mathematics
1 answer:
Trava [24]3 years ago
3 0

Answer:

2.75

Step-by-step explanation:

0.10 represents the rate at which prices have increased since 1980..

2.75 represents the price in 1980

This can be confirmed by inputting 0 as the value of x.

2.75+0.10(0) = 2.75

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Help me I’m struggling
Ad libitum [116K]

Answer:

Hey there!

(8^2)^-4=8^2(-4), or 8^-8

8^-8 can be expressed as the third option.

Hope this helps :)

5 0
3 years ago
Solve the following quadratic equation by factoring or Quadratic Formula.
s344n2d4d5 [400]

Answer:

A.

Step-by-step explanation:

x2 - 3x - 10. = 0

x2 + 2x - 5x - 10 = 0

(x2 + 2x) (-5x - 10) = 0

x (x + 2) - 5 (x + 2) = 0

(x - 5) (x + 2) = 0

x - 5 = 0 x + 2 = 0

x = 5 or x = - 2.

6 0
3 years ago
Read 2 more answers
Insert commas to show periods according to Indian as well as International place value system of 2349812
Nata [24]

Answer:

23,49,812

Step-by-step explanation:

3 0
3 years ago
Find four distinct complex numbers (which are neither purely imaginary nor purely real) such that each has an absolute value of
Luda [366]

Answer:

  • 0.5 + 2.985i
  • 1 + 2.828i
  • 1.5 + 2.598i
  • 2 + 2.236i

Explanation:

Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.

Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.

The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:

  • |C| = \sqrt{a^2+b^2}

Then, the work consists in finding pairs (a,b) for which:

  • \sqrt{a^2+b^2}=3

You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:

\sqrt{a^2+b^2}=3\\ \\ a^2+b^2=3^2\\ \\ a^2=9-b^2\\ \\ a=\sqrt{9-b^2}

I will use b =0.5, b = 1, b = 1.5, b = 2

b=0.5;a=\sqrt{9-0.5^2}=2.958\\ \\b=1;a=\sqrt{9-1^2}=2.828\\ \\b=1.5;a=\sqrt{9-1.5^2}=2.598\\ \\b=2;a=\sqrt{9-2^2}=2.236

Then, four distinct complex numbers that have an absolute value of 3 are:

  • 0.5 + 2.985i
  • 1 + 2.828i
  • 1.5 + 2.598i
  • 2 + 2.236i
4 0
3 years ago
what is consecutive whole numbers? I have to write an algebraic expression for the sum of three consecutive whole numbers... :(
Agata [3.3K]

Answer:

Consecutive whole numbers (or integers) are numbers that directly follow one another.

Eg: 1, 2, 3, 4, 5 are consecutive whole numbers.

Step-by-step explanation:

Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108.

or

let the three consecutive whole numbers is x, x+1,and x+2

x + x+1 + x+2 = 4+2(x+1)

3x+3=4+2x+2

3x-2x=6-3

x=3

the other two numbers are 3+1=4,and 3+2=5

so the three numbers are 3,4 and 5

7 0
3 years ago
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