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slamgirl [31]
3 years ago
11

What is the slope of the line passing through the points (0, 4) and (–8, –1)?

Mathematics
2 answers:
madreJ [45]3 years ago
6 0

Answer:

5/8 is the correct answer I had just taken the test.

Schach [20]3 years ago
3 0
(0,4)(-8,-1)
slope = (-1 - 4) / (-8 - 0) = -5/-8 = 5/8 <=
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George wants to purchase a gift for his father for Father’s Day that cost 67.25 if he has already saved 7/8 of the amount how mu
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3 years ago
Determine whether 33 divides the product of 2⋅3⋅7⋅11. If it does divide the product, find the quotient. If it does not divide th
swat32

Answer:

The answer would be 30

Step-by-step explanation

For positive integers: 2 ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 11 = 2310 For all integers: ± ( 2 ⋅ 3 ⋅ 5 ) = ± 30 For Gaussian integers: ± 1 ± 3 i and ± 3 ± i (all combinations of signs) Explanation: A prime number is a number whose only factors are itself, units and unit multiples of itself. So in the positive integers, the first few primes are: 2 , 3 , 5 , 7 , 11 , ... So the smallest composite positive integer with the five smallest prime positive integers as factors is: 2 ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 11 = 2310 If we extend our interest to include negative integers, then the smallest primes are: 2 , − 2 , 3 , − 3 , 5 , − 5 , ... So the smallest composite integers with the five smallest prime integers as factors are: ± ( 2 ⋅ 3 ⋅ 5 ) = ± 30 If we consider Gaussian integers, then the smallest primes are: 1 + i , 1 − i , − 1 + i , − 1 − i , 1 + 2 i , 1 − 2 i , − 1 + 2 i , − 1 − 2 i , 2 + i , 2 − i , − 2 + i , − 2 − i , 3 , − 3 ,... So the smallest composite Gaussian integers with the five smallest prime Gaussian integers as factor are: ( 1 + i ) ( 1 + 2 i ) = − 1 + 3 i , 1 + 3 i , − 1 − 3 i , − 1 + 3 i , 3 + i , 3 − i , − 3 + i , − 3 − i

5 0
3 years ago
Simplify the function f(x)= 1/2 (27) 2x/3. Then determine the key aspects of the function
jeyben [28]
The given expression is:

f(x)= \frac{1}{2}(27)^{ \frac{2x}{3} } \\  \\ &#10;f(x)= \frac{1}{2}((27)^{ \frac{2}{3} })^{x}      \\  \\ &#10;f(x)=  \frac{1}{2}(9)^{x}

From the above equation, we can answer all the 4 questions.

a) Initial value occurs when x = 0

So,

f(0)= \frac{1}{2}(9)^{0}= \frac{1}{2}

So, the Initial value of the function is 1/2.

b) Simplified Base:
The base of an exponential function is the term which contains the exponent.
From the simplified equation, we can see that the base has been simplified and is equal to 9.

So, the simplified base is 9

c) Domain:
From the equation we can see that there is no such value which makes the function undefined. So all reall numbers are included in the Domain.

So, Domain is Set of All real numbers. 
In Interval notation this can be expressed as: (-∞,∞)

d) Range:
Range is the set of all y values that a function can take. Since the graph is not shifted vertically up or down, the range will be the set of all real numbers greater than zero.

So, Range is equal to All real numbers greater than 0.
In Interval notation, this can be expressed as (0,∞)
4 0
3 years ago
Read 2 more answers
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