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nignag [31]
3 years ago
15

Please help!! Will mark brainliest!! Match each function to its domain.

Mathematics
1 answer:
Lapatulllka [165]3 years ago
6 0
<span>f(x) = sqrt(x-5) Domain: all real numbers greater or equal to 5 f(x) = 7/(x-8) Domain: all real numbers except 8 f(x) = sqrt(x) Domain: all positive real numbers and 0 f(x) = 8x Domain: all real numbers The domain of a function is the set of all numbers for which that function is valid. You have 4 functions and 4 possible domains to choose from. Let's work each one out. f(x) = sqrt(x-5) You're not allowed to take the square root of a negative number. So the domain for this function would be all values of x >= 5. That way you're taking the square root of 0 or higher. Let's see if any of your choices match that. And you have the choice "all real number greater or equal to 5" f(x) = 7/(x-8) You're not allowed to divide by 0. And the denomerator becomes 0 if x equals 8. So the domain is all real numbers except 8 which happens to be one of the choices. f(x) = sqrt(x) This is much like the 1st choice. You can't take the square root of a negative number. So the domain is all non-negative numbers. Looking at the choices, there isn't a match, but there's the choice "all positive real numbers and 0" which means the same thing. So that's the answer. f(x) = 8x I don't see anything that would make it impossible to evaluate this expression. So its' domain is all real numbers. And you have that as a choice.</span>
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An apple grower finds that if he plants 80 trees per acre, each tree will yield 26 bushels of fruit. He estimates that for each
hammer [34]

Answer: The maximum revenue is $7482 . To get a maximum yield , The number of trees per acre needed is 43.

Step-by-step explanation:

Solution:

Let x represent the extra tree

So for an additional tree the yield of each tree will decrease by 4 bushels.

(80 +x)(26-4x) by expanding

2080 - 320x +26x -4x^2

Using x= -b/2a

X= 294/ -8

X= - 36.75

So apparently he currently has far too many trees per acre. To get the maximum yield , she needs to reduce the number of trees per acre by 36.75

So the number of trees per acre for maximum yield is

80-36.75

=43.25

Approximately x=43

So by reducing he get extra bushel in the tune of 174.

Total revenue= 174 ×43× 1$

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3 years ago
Heather hits a tennis ball upward with an initial speed of 32 feet per second. After how many seconds does the ball hit the grou
Mrrafil [7]
set h=0 and solve for <span>t

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Find the perimeter of a square with side a. Are the perimeter of the square and the length of its side directly proportional qua
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The perimeter of a square with side a = 7.2 cm is 28.8 cm. Yes there exists a direct proportional relationship between Side length and Perimeter of square

<h3><u>Solution:</u></h3>

Given that side of square "a" = 7.2 cm

We have to find the perimeter of square

<em><u>The perimeter of square is given as:</u></em>

Perimeter of square = 4a

Where "a" represents the length of side of square

Substituting the given value a = 7.2 cm in above formula, we get perimeter of square

Perimeter of square = 4(7.2) = 28.8 cm

<em><u>Are the perimeter of the square and the length of its side directly proportional quantities?</u></em>

\begin{array}{l}{\text { perimeter of square }=4 a=4 \times \text { length of side }} \\\\ {\frac{\text { perimeter of square }}{\text { length of side }}=4}\end{array}

The Perimeter is equal to a constant times the Side length, or the Perimeter divided by the Side length is equal to four. So this is definitely a proportional relationship between Side length and Perimeter.

Two values are said to be in direct proportion when an increase in one results in an increase in the other.

So when length of sides increases, perimeter also increases

Hence perimeter and length of side of square are directly propotional quantities

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