What is the domain of the function h(x)=4log_5(x−6)+1 ? Enter your answer in the box.

Mathematics

2 answers:

Fed [463]3 years ago

8 0

Answer:

All real numbers greater than 6.

Step-by-step explanation:

To find the domain we have to find if there are intervals where the function is not defined.

In this case, we have a logarithm.

Logarithms of any base are not defined for 0 or values less than zero (negative numbers). So the logarithm argument must be greater than zero.

For the above to be true: $x-6$ must be greater than zero.

$x-6$ > 0

$x$ > 6

If x is greater than 6, the argument of the logarithm will be greater than zero and the function will be defined.

The anser is: All real numbers greater than 6.

Kaylis [27]3 years ago

4 0

The domain is all real numbers greater than 6

log functions cannot be less than 0

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2 angles measure 40 degrees each, what does the third angle measure? what type of triangle is it?

zimovet [89]

Answer:

Part a): 100 degrees

Part b): Isosceles Triangle

Step-by-step explanation:

Part a): Since the angle measures of all triangles add up to 180 degrees and since the other two angles are 40 degrees, which add up to 80, we can use subtraction to find the answer.

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Part b): Since only two of the three angles in this triangle have the same measure, we can find that it is an isosceles triangle, with base angles measuring 40 degrees, and the vertex angle being 100 degrees.

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3 years ago

Which of the following shows the correct solution steps and solution to

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$3x + 2 = 17 \\ 3x + 2 - 2 = 17 - 2 \\ \: \: \: \: \: \: \: \: \: 3x = 15 \\ \: \: \: \: \: \: \: \: \: \: \: x = \frac{15}{3} \\ \: \: \: \: \: \: \: \: x = 5$