Answer:
(-♾, ♾)
Step-by-step explanation:
A quadratic can accept any real x value. So the domain is All Real Numbers. This in interval notation is
(-♾, ♾)
This is read as negative infinity to positive infinity
Answer:
21.68 minutes ≈ 21.7 minutes
Step-by-step explanation:
Given:

Initial temperature
T = 100°C
Final temperature = 60°C
Temperature after (t = 3 minutes) = 90°C
Now,
using the given equation

at T = 90°C and t = 3 minutes


or

taking the natural log both sides, we get
3k = 
or
3k = -0.2876
or
k = -0.09589
Therefore,
substituting k in 1 for time at temperature, T = 65°C

or

or

or

taking the natural log both the sides, we get
( -0.09589)t = ln(0.125)
or
( -0.09589)t = -2.0794
or
t = 21.68 minutes ≈ 21.7 minutes
<em>Answer:</em>
<em>24</em>
<em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>175% ............. 42</em>
<em>100% ..................x </em>
<em>x = 100*42/175 = 4200/175 = 24</em>
<em>Good luck !</em>
Answer:
Where T is the hight temperature and t is the day
Explanation:
The table shows that every day the<em> High temperature, T (degrees F) </em>increases 1 unit.
Then, this is a linear function with slope = 1ºF / day.
You can use the point-slope equation to determine the <em>function of the high temperature:</em>

- Choose any point from the table and m = 1. I will use the first point (1,95)
Substitute:

Make the variables y = T, and x = t:

In order to know what is the reasonable amount of tile for
Mandana to order, you have to divide the choices with the area of the floor and
deduct with 1 and multiply by 100. You have to assess if the answer you will
get will fall between 15% and 20% which is the goal of Mandana.
<span>a.
</span>131/116.9 = (1.1206 – 1) x 100 = 12.06%, this
does not fall between 15% and 20%
<span>b.
</span>138/116.9 = (1.1805 – 1) x 100 = 18.05%, this
fall between 15% and 20%
<span>c.
</span>133/116.9 = (1.1377 – 1) x 100 = 13.77%, this
does not fall between 15% and 20%
<span>d.
</span>141/116.9 = (1.2062 – 1) x 100 = 20.62%, this
does not fall between 15% and 20%
Therefore, the reasonable amount of tile for Madana to order
that is between 15% and 20% extra of the materials is 138 square feet.