The solutions of the quadratic equation x² - 5x - 36 = 0 are -4 and 9.
The graph is attached below.
- We are given a quadratic function.
- A polynomial equation of degree two in one variable is a quadratic equation.
- The function given to us is :
- y = x² - 5x - 36
- We need to find the solution of the quadratic function.
- To find the roots, let y = 0.
- x² - 5x - 36 = 0
- Use the quadratic formula.
- In elementary algebra, the quadratic formula is a formula that gives the solution(s) to a quadratic equation.
- x = [-b±√b²-4ac]/2a
- x = [-(-5) ± √25 - 4(1)(-36)]/2(1)
- x = (5 ± √25 + 144)/2
- x = (5 ± √169)/2
- x = (5 ± 13)/2
- x = 9 or x = -4
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Answer:
Commutative Property
Step-by-step explanation:
Commutative property is the property where if you change the order of the operands, it does not change the result.
Answer:
= 0.857143 miles per hour
Step-by-step explanation:
This the fractions 3/4 miles and 7/8 hours are equal to
0.75 miles and 0.875 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 0.875
<u>0.75 miles</u> ÷ 0.875
0.875 hours ÷ 0.875
=
<u>0.857143 miles</u>
1 hour
so the answer would be...
= 0.857143 miles per hour
1/5 cups of sugar are used for every cup of water.
Use elimination and subtitution method to solve the problem.
First, eliminate x and you'll find the value of y
x - 4y = 12
x - y = 0
--------------- - (substract)
-3y = 12
y = 12/-3
y = -4
Second, subtitute -4 as y and you'll find the value of x
x - y = 0
x- (-4) = 0
x + 4 = 0
x = -4
The solution
x,y = -4,-4