What are the domain and range of the logarithmic function f(x) = log7x?

Mathematics

1 answer:

kap26 [50]3 years ago

6 0

The domain is (0, ∞)
The range is (-∞, ∞)

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The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is th

Dafna11 [192]

Answer:

$a + b \geq 30$

$b - a \geq 10$

Step-by-step explanation:

Given

The sum of the two positive integer a and b is at least 30, this means the sum of the two positive integer is 30 or greater than 30, so we write the inequalities as below.

$a + b \geq 30$

The difference of the two integers is at least 10, if b is the greater integer then we subtract integer a from integer b, so we write the inequality as below.

$b - a \geq 10$

Therefore, the following system of inequalities could represent the values of two positive integers a and b.

$a + b \geq 30$

$b - a \geq 10$

6 0

3 years ago

Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16. Find AC. The diagram is not to scale.

Lunna [17]

Answer: The measure of AC is 32.

Explanation:

It is given that the Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16.

The midpoint theorem states that the if a line segments connecting two midpoints then the line is parallel to the third side and it's length is half of the third side.

Since F and D are midpoints of AE and EC respectively.

So by midpoint theorem length of AC is twice of DF.

$AC=2\times DF$