Please help with this math question
1 answer:
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Answer:
1.
a. The slope of the function is m = -32500, and it means the change in the value of V(t) for each unitary change in the value of t.
b. The V-intercept is b = 245000, and it means the value of V(t) when t = 0, that is, the inicial value of V(t).
c. The formula is:
2. t-intercept:
The t-intercept means when the function V(t) will be zero, that is, the truck has no value anymore.
3. Graph in the image attached.
4. The domain is t = [0, 7.5385] and the range is V(t) = [245000, 0].
5.
It means the price the truck will have after 8 years. It does not make sense, because the truck can't have a negative price.
6. After 3.6 years.
7. Between 3.23 years and 5.63 years.
Step-by-step explanation:
1.
The inicial value is 245,000, and each year the value decreases 32,500, so we can write the equation:
a. The slope of the function is m = -32500, and it means the change in the value of V(t) for each unitary change in the value of t.
b. The V-intercept is b = 245000, and it means the value of V(t) when t = 0, that is, the inicial value of V(t).
c. The formula is:
2.
To find the t-intercept we just need to use V(t) = 0 and then find the value of t:
The t-intercept means when the function V(t) will be zero, that is, the truck has no value anymore.
3.
The graph of the function is in the image attached.
4.
The domain is t = [0, 7.5385] and the range is V(t) = [245000, 0].
5.
It means the price the truck will have after 8 years. It does not make sense, because the truck can't have a negative price.
6.
After 3.6 years.
7.
Between 3.23 years and 5.63 years.
Triangle LMN has two sides that are of the same size, therefore, triangle LMN is described as: isosceles triangle.
<h3>What is an Isosceles Triangle?</h3>A triangle with two equal sides and two equal base angles is described as an isosceles triangle.
<h3>What is the Distance Formula?</h3>The formula for finding the distance between two coordinate points is called the distance formula, and it is expressed as: .
Given the vertices of the angles of triangle LMN as:
- L(-2, 4),
- M(3, 2),
- N(1,-3)
Use the distance formula to find the length of each side of the triangle.
LM = √[(3−(−2))² + (2−4)²]
LM = √[(5)² + (−2)²]
LM = √29 units
MN = √[(3−1)² + (2−(−3))]²
MN = √29 units
LN = √[(−2−1)² + (4−(−3))²]
LN = √(−3)² + (7)²]
LN = √(9 + 49)
LN = √58 units
Isosceles triangles have two equal sides. Triangle LMN has two sides that are of the same size, therefore, triangle LMN is described as: isosceles triangle.
Learn more about isosceles triangle on:
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