?− 4 = –11 please answer in steps
1 answer:
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Answer:
x = 1
Step-by-step explanation:
The line of symmetry is defined as the x value of the vertex of a parabola.
To find the vertex of a parabola, we need to convert to vertex form.
Vertex form looks like this:
, where -h is the x value of the vertex and k is the y value of the vertex.
H is also defined as where a is the coefficient of x squared and b is the coefficient of the x term.
The coefficient of the x squared term is 1 and the coefficient of b is -2.
Plugging in, we get , which is equal to 1. This can then be plugged into the equation as
, but k doesn't matter because all we need is the x-term. Now, our x-term is negative h, which is negative negative one, which is positive one. Therefore, our answer is x = 1.
Answer:
The equation is: <em>y</em> = 15·<em>x</em>
Step-by-step explanation:
It is provided that at the Speedy Bike Works, 15 bicycles are produced each hour.
Consider the table below.
Number of Hours: 1 3 6 10
Number of Bicycles Produced: 15 45 90 150
Compute the ratio of number of bicycles produced and number of hours for every data above as follows:
The ratio of the number of bicycles produced and number of hours is same for every data value.
Thus, the relationship between the number of bicycles produced and number of hours is proportional.
The equation for the relationship is:
<em>y</em> = 15·<em>x</em>
<em>y</em> = number of bicycles produced
<em>x</em> = number of hours