Answer:
Range is {y | y ≥ –11}
Step-by-step explanation:
This is quadratic equation.
<em>A quadratic equation's range can be found if we find the vertex.</em>
For quadratic equations that have a positive number in front of
, it is upward opening and thus <u>all the numbers greater than or equal to the minimum value of vertex is the range.</u>
The formula for vertex of a parabola is:
Vertex = 
Where,
is the coefficient of 
is the coefficient of 
From our equation given,
and 
Now,
coordinate of vertex is 
coordinate of the vertex IS THE MINIMUM VALUE that we want. We get this by plugging in the
value [
] into the equation. So we have:

Hence, the range would be all numbers greater than or equal to
Third answer choice is the right one.
We can use the arc length formula to solve this.
Arc length = 
Given arc length is 7 and radius is 5, we can plug in the values and solve for q.

ANSWER:
We can use the equation
to find the value of q. And, the value of q is 80.21°.
Answer:

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.
For the intercept of 135 represent the amount initial amount of weight for the scale.
Step-by-step explanation:
We assume that they use least squares in order to create the regression equation
For this case we need to calculate the slope with the following formula:
Where:
With these we can find the sums:
And the slope would be:
The means for x and y are given by:
And we can find the intercept using this:
For this case we know that the line adjusted is:

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.
For the intercept of 135 represent the amount initial amount of weight for the scale.
Answer:3x-2/6
Step-by-step explanation:When you multiply 1/2 by 6 you would get 3, so 6x is turned to 3x, and when you multiply 1/2 by -2/3, you get -2/6, so your new equation is, (3x-2/6)
Answer:
x=130, x=-77.5, x=1/3
Step-by-step explanation:
1st equation:
1/5x + 24 = 50
1/5x = 26
x = 26(5)
x = 130
2nd equation:
0.4x + 18=-13
0.4x = -31
x=-77.5
3rd equation:
3x - 5/6 = 1/6
3x = 1
x=1/3