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nordsb [41]
3 years ago
9

Find the nonpermissible replacement for a in this expression 8/-9a

Mathematics
2 answers:
Soloha48 [4]3 years ago
7 0
The variable a  cannot be zero because that would make -9a = zero  and   8 divided by zero is indeterminate.
yuradex [85]3 years ago
4 0

the answer is 0 everyone. got it right on my sisters test

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Several ordered pairs from a continuous exponential function are shown in the table.
Sunny_sXe [5.5K]

Answer:

The domain is {x : x ∈ R} , the range is {y : y > 0}

Step-by-step explanation:

* Lets explain how to solve the problem

- The general form of the continuous exponential function is

  y=a(e)^{kx} where a is the initial value and k is the growth factor

- We have some ordered pairs from the continuous exponential

  function

- The ordered pairs are:

  (0 , 4) , (1 , 5) , (2 , 6.25) , (3 , 7.8125)

- Lets substitute the values of x and y in the equation to find a , e^{k}

∵ y=a(e)^{kx}

∵ x = 0 and y = 4 ⇒ 1st ordered pair

- Substitute x and y in the equation

∴ 4=a(e)^{k(0)}

∴ 4=a(e)^{0}

- The value of e^{0} = 1

∴ a = 4

- Substitute the value of a in the equation

∴ y=4(e)^{kx}

∵ x = 1 and y = 5 ⇒ 1st ordered pair

- Substitute x and y in the equation

∴ 5=4(e)^{k(1)}

∴ 5=4(e)^{k}

- Divide both sides by 4

∴ e^{k} = 1.25

- Substitute the value of e^{k} in the equation

∴ y=4(1.25)^{x}

- The domain of the function is all the values of x which make the

  function defines

- The range is the values of y corresponding to x

∵ There is no value of x makes the function undefined

∴ <u><em>The domain is all real numbers</em></u>

∵ y never takes a negative value

∴ <u><em>The range is all the real positive numbers</em></u>

* <em>The domain is {x : x ∈ R} , the range is {y : y > 0}</em>

4 0
2 years ago
Read 2 more answers
The goat population on a farm is decreasing at a rate of 7.25% each year. If there were 75 goats originally, how many goats will
Natasha2012 [34]

Answer:

53

Step-by-step explanation:

x/75=7.25/100

Cross Multiply

100x = 543.75

Simplify

x=5.4375

Multiply By The Number Of Years

5.4375 x 4 = 21.75

Subtract From The Original Number

75-21.75 = 53.25

<h2>Round it down (You cant have a quarter o a sheep. It would be dead)</h2><h2>53</h2>
3 0
3 years ago
The _____of a segment divides the segment into two segments of equal length.
Cloud [144]
The midpoint of the segment is the answer
5 0
2 years ago
Read 2 more answers
Find m(angle) ABC<br><br>21 <br><br>132<br><br>48<br><br>19
Brut [27]

I don't like these algebra problems which pretend to be geometry.

These are supplementary angles adding to 180 degrees; geometry done.

7x - 1  + 3x - 9 = 180

10 x = 190

x = 19

ABC=3x - 9 = 3(19) - 9 = 48

Answer 48°


5 0
2 years ago
Read 2 more answers
A hiker walked 12.8 miles from 9:00 a.m. to noon. He walked an additional 17.2 miles from 1:00 p.m. to 6:00 p.m. What is his ave
marishachu [46]
The average speed is the distance divided by the time.

Total distance:
12.8 miles + 17.2 miles = 30 miles

Total time:
noon - 9:00 a.m. = 3 hours
6:00 p.m. - 1:00 p.m. = 5 hours
Total time = 3 hours + 5 hours = 8 hours

average speed = 30 miles / 8 hours = 3.75 miles per hour
6 0
3 years ago
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