<span>1067/10000 is the simplest version
</span>
(1/40) - (1/x) = (1/60)
x = 1/(1/40) - (1/60)) =
<span>A.) 120</span> minutes
Its similar to the other question.
Answer:
-4f-5
Step-by-step explanation:
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The name of the sets of the numbers to which each of the given number belongs is:
- 7 = Natural number. Integer. Rational number.
- √23 = Irrational number.
- л = Irrational number.
- O = Rational number. Integer.
- -0.5 = Rational number.
- -2.5 = Rational number.
- √0.09 = Rational number.
- -√0.9 = Irrational number.
<h3>What are sets of numbers?</h3>
These are the various types of number groups that exist for categorizing numbers.
Natural numbers are all positive numbers from 1 to infinity while integers are positive and negative whole numbers. A decimal cannot be an integer as a result.
Rational numbers are discrete which means that they are terminating and eventually stop going while irrational numbers will keep going to infinity and are therefore non-terminating.
Find out more on sets of numbers at brainly.com/question/13081505
#SPJ1
Answer
The vertex is at point (-3, -1)
The axis of symmetry is x = -3
Explanation
We are asked to find the vertex and axis of symmetry of the equation given.
f(x) = x² + 6x + 8
The vertex of a quadratic equation is the point where the graph of the quadratic equation changes from sloping negatively to sloping positively and vice-versa.
The axis of symmetry represents the straight line that divides the graph of the quadratic equation into two mirror parts that are similar to and are mirror images of each other. This axis of symmetry usually passes through the vertex.
To find the vertex, it is usually at the turning point where the first derivative of the quadratic equation is equal to 0.
(df/dx) = 0
f(x) = x² + 6x + 8
(df/dx) = 2x + 6
At the vertex
(df/dx) = 2x + 6 = 0
2x = -6
Divide both sides by 2
(2x/2) = (-6/2)
x = -3
We then insert this into the equation to get the corresponding f(x) value.
f(x) = x² + 6x + 8
f(-3) = (-3)² + 6(-3) + 8
= 9 - 18 + 8
= -1
Hence, the vertex is at point (-3, -1)
And since the axis of symmetry has to pass through the vertex,
The axis of symmetry is x = -3
Hope this Helps!!!
