If you break someone's neck can you go to jail for that?
2 answers:
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Answer:
The function has at least 1 zero within the interval [-2,5].
Step-by-step explanation:
The intermediate value theorem states that, for a function continuous in a certain interval , then the function takes any value between
and
at some point within that interval.
This theorem has an important consequence:
If a function is continuous in an interval [a,b], and the sign of the function changes at the extreme points of the interval:
(or viceversa)
Then the function f(x) has at least one zero within the interval [a,b].
We can apply the theorem to this case. In fact, here we have a function f(x) continuous within the interval
[-2,5]
And we also know that the function changes sign at the extreme points of the interval:
Therefore, the function has at least 1 zero within the interval [-2,5], so there is at least one point x' within this interval such that
Answer:
<em>The family will need to purchase 187 square ft carpeting.</em>
Step-by-step explanation:
<u>Area of Rectangles</u>
Given a rectangle with width W and length H, the area is calculated as follows:
A = W * H
The new carpet of the family has the shape provided in the figure. We have completed the shape to add some missing dimensions by adding and subtracting the given lengths. Please refer to the attached image.
The total area of the carpet is the sum of the areas of three rectangles.
The rectangle at the bottom has dimensions 3 ft x 20 ft, thus its area is:
A1 = 3 ft * 20 ft = 60 square ft
The rectangle at the middle has dimensions 3 ft x 17 ft, thus its area is:
A2 = 3 ft * 17 ft = 51 square ft
The rectangle at the top has dimensions 4 ft x 19 ft, thus its area is:
A3 = 4 ft * 19 ft = 76 square ft
The total area of the carpet is:
A = 60 square ft + 51 square ft + 76 square ft
A = 187 square ft
The family will need to purchase 187 square ft carpeting.
