Answer:
0.00003051757
Step-by-step explanation:
Answer:
$0.5
Step-by-step explanation:
Given data
Cost of 5 pencils= $2.50
Required
The cost per pencil
The cost per pencil is
Cost of 5 pencils divided by 5
=2.5/5
=$0.5
This is the constant of proportionality
For any number of pencils x
The cost is
Cost =0.5x
Hence the cost of one pencil is $0.5
<h3>
Answer: D) 5/2</h3>
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Explanation:
The parabola is symmetric around its vertex. This means that the roots are the same horizontal distance away from the vertex. Furthermore, we can apply the midpoint formula on the given roots to find the x coordinate of the vertex.
Find the midpoint of 2 and 3 to get (2+3)/2 = 5/2
Note: 5/2 = 2.5
The coordinates of B would be (0,1)
Answer: The correct answer is C: 6x² + x - 26 = 0
Step-by-step explanation: All the variables in the question have been identified, that is, the area, the height and the base of the triangle. The area of a triangle is defined as
Area = ½ x B x H
Area = 13,
Base = B and
Height = 6B + 1
The question states that the height is 1 more than 6 times it's base. Hence the height would be, Base x 6, plus 1, that is, 6B + 1
The area can now be expressed properly as follows,
13 = ½ x B x (6B + 1)
By cross multiplication we now have
2 x 13 = B (6B + 1)
26 = 6B² + B
Subtract 26 from both sides of the equation
6B² + B - 26 = 0
However, the answer uses x as the unknown variable. So if you use x as the base of the triangle instead of B, your answer would result in
6x² + x - 26 = 0
