The result of simplifying each number (-3)¹/₃ . (-3)¹/₃ . (-3)¹/₃ using the exponent rules is -3
To solve this exercise we have to resolve algebraic operations following the exponent rules.
(-3)¹/₃ . (-3)¹/₃ . (-3)¹/₃
Using the product rule that indicates that: the exponent result will be the addition of these exponents, we have:
(-3)¹/₃⁺ ¹/₃ ⁺ ¹/₃
(-3)³/₃
(-3)¹
-3
<h3>What is an exponent?</h3>
In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.
Example: 3² = 3*3 = 9
Learn more about exponent at: brainly.com/question/847241
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Answer:
1. Choice B
2. Choice C
3. X=-2
4. Choice A
5. y = 5/2 x + 5
Step-by-step explanation:
1.
the slope is down 3 over 2 m =-3/2
point slope form
y-y1= m (x-x1)
y-y1 = -3/2 (x-x1)
Choice B
2. (-3,-1) (1/2,2)
slope = (y2-y1)/(x2-x1)
m=(2--1)/(1/2--3) = (2+1)/(1/2+3) = 3/(3.5) = multiply top and bottom by 2
m = 6/7
point slope form
y-y1 = m(x-x1)
y--1 = 6/7 (x--3)
y+1 =6/7 (x+3)
multiply by 7
7y+7 = 6(x+3)
7y+7 = 6x+18
subtract 7y from each side
7 = 6x-7y+18
subtract 18 from each side
-11=6x-7y
Choice C
3. x=-2
This is a vertical line, the value of x never changes
4. (-1,2) (1,-4)
slope =(y2-y1)/(x2-x1)
= (-4-2)/(1--1) = -6/(1+1) = -6/2 = -3
point slope form
y-y1 = m(x-x1)
y-2 = -3(x--1)
y-2 = -3(x+1)
y-2 = -3x-3
add 2 to each side
y = -3x-1
Choice A
5. (-2,0) (0,5)
the y intercept is 5
slope is change in y over change in x
slope =(y2-y1)/(x2-x1) = (0-5)/(-2-0) = -5/-2 = 5/2
slope intercept form
y= mx+b
y = 5/2 x + 5
Question 1: When sediments and rocks are dropped at the end of the river.
Question 2: An earthquake.
Answer:
37%
Step-by-step explanation:
total is 49
so the probability of yellow is 18/49 × 100 to get the percentage that's 36.73% to the nearest percentage is 37%
