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kiruha [24]
2 years ago
11

The function f(x) = x + 21 is one-to-one.

Mathematics
1 answer:
earnstyle [38]2 years ago
3 0

Answer:

a. D. f⁻¹(x) = x - 21, for all x

b. f(f ⁻¹(x)) = f(x - 21) = x and f ⁻¹(f(x)) = f ⁻¹(x + 21) = x

Step-by-step explanation:

See attached picture.

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Which of the following expressions represents the solution to x – 3 > -4?
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Step-by-step explanation:

x - 3 > -4

= x > -4+3

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A student measured the dimensions of a table and recorded the length as 103.50cm and the width as 73.75cm. according to the stud
PolarNik [594]
The table is usually the shape of a rectangle. The area is equal to the length times the width. To make sure, let's recalculate the solution.

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So, we established that the answer is correct. Now, I'll introduce the concept of significant figures. There are rules regarding significant figures to be applied conventionally in measurements and calculations. This is to increase precision of the data. Significant figures are digits that carry meaning. When you are given data with a specific number of significant figures, the final answer should also contain the same number of significant figures. In convention, the rule says that the zero's after non-zero digits after the decimal point are significant. Also, all non-zero digits are significant. The value 103.50 has 5 significant figures, and 73.75 has 4. When it comes to multiplication, the answer should contain the least significant figures. So, we should have 4 significant figures. Therefore, the final answer to be reported should be 7,633 cm².
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A common tangent is<br><br> segment CD<br> segment ST<br> segment RU
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Read 2 more answers
The journey of a car travelling towards
Nimfa-mama [501]

Answer:

a. The given equation is d = -75·t + 275 is a function

b. f(t) = -75·t + 275

c.  275 km

d. The situation does not makes sense for t > 11/2 hours.

Step-by-step explanation:

a. Given that a relation is a functional relation if for each input of a member in the relation, there is only one output for the other member, therefore;

The given equation is d = -75·t + 275 is a function

As when t = 1, d = 200 km

b. The equation written in functional notation, f(t) is f(t) = -75·t + 275

c. At the start of the journey, t = 0

Therefore;

f(0) = -75×0 + 275 = 275 km

d. The values of t that do no make sense in the function are given as follows

0 = -75×t + 275

t = 275/75 = 11/3 = 3.67 hours

For times above 3.67, the distance becomes negative

Therefore, the situation does not makes sense for t > 11/2 hours.

5 0
4 years ago
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