Answer:
f ( x ) = x² - 1
Step-by-step explanation:
hope this will help
Answer:
The correct answer is option D.
Step-by-step explanation:
if the pair of equation has one or more than one solution then it is said to be consistent.
- Only one solution , then independent system.
- More than one solution , then dependent system.
if the pair of equation has no solution then it is said to be inconsistent.
Given : x - 3y = 4 ...[1]
2x - 6y = 8 ...[2]
Solution :
Solving equations with the help of Substituting methods:
x - 3y = 4
x = 4 +3y
Putting value of x from [1] in [2]:



0 = 0
Given , system of equation will have infinite solution. Hence consistent and dependent.
The given system of equations will have infinite solutions.
Answer:
Inez worked for 2 hours 32 minutes more than Joe
Step-by-step explanation:
Here, we are to calculate the difference in the amount of time in which both of them spent working.
Mathematically, that would be the time spent by Inez minus the time spent by Joe
= 7 hrs 23 minutes - 4 hrs 51 minutes
This works like normal arithmetic subtraction;
Since we cannot subtract 51 minutes from 23 minutes, we need to borrow 1 hour ( 60 minutes) from 7 , and it becomes 6 while our minutes become (60 + 23 = 83 minutes).
So the difference here will be (6-4)hrs and (83-51) minutes = 2 hrs 32 minutes
The total length of a boundary defines the perimeter of an equilateral triangle.
<h3>What is the Perimeter of an Equilateral Triangle?</h3>
- The total of the three sides makes up the perimeter of an equilateral triangle.
- The following fundamental characteristics define a triangle as being equilateral:
- The three sides are equal.
- There is a 60° angle between all three.
- The sides of the triangle PQ = QR = RP in the following illustration have equal lengths.
- The triangle's angles are also equal in addition to this. An equilateral triangle is what this is.
- An equilateral triangle's perimeter is now equal to 3a, where a denotes one of the triangle's sides.
- Perimeter of Equilateral Triangle Formula : P = 3a, where 'a' stands for one of the triangle's sides, is a simple formula for calculating an equilateral triangle's perimeter. An equilateral triangle has three equal sides, hence the sum is equal to three equal sides, or 3a.
- Additional equilateral triangle formulas include the following: When we need to determine a triangle's height from its sides, we can apply the following formula: Equilateral Triangle Height = (3a)/2
- The semi-perimeter of an equilateral triangle must be determined in a few situations. Half of a perimeter, or semi-perimeter, is equal to 3a/2, which is derived using the formula semi-perimeter = (a + a + a)/2.
To Learn more About equilateral triangle refer to:
brainly.com/question/15294703
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Answer: 
<u>Step-by-step explanation:</u>
The recursive rule for an arithmetic sequence is:
So, we know that d = 7. It is given that 
The explicit rule for an arithmetic sequence is: 
