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Kipish [7]
3 years ago
6

Which function is the inverse of function f? f(x)=9x^2–12

Mathematics
1 answer:
Leona [35]3 years ago
4 0

Answer: D

Step-by-step explanation:

If the equation is f(x) = 9x^2 -12, you can solve for the inverse by switching the x and y like this.

x = 9y^2-12.

Then you solve for y.

x = 9y^2-12.

x+12=9y^2

y^2=(x+12)/9

y=sqrt((x+12)/9)

y=sqrt((x+12))/3 which is D

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Someone help please❤️ & Thankyou!!
S_A_V [24]

Answers:

  • 300 = 12i+36s
  • i = 10
  • Yes it's reasonable
  • i = -11

Refer to the diagram below.

The explanation for each part is below as well.

========================================================

Part 1

i = number of individual nail polish bottles

s = number of sets of 4

12i = money earned from just selling the individual bottles only

36s = money earned from just selling the sets of 4 only

12i+36s = total money earned = 300

12i+36s = 300 is the equation to set up

This is the same as 300 = 12i+36s  because A = B is the same as B = A.

========================================================

Part 2

Plug in s = 5 to represent she sold 5 sets. Let's solve for i

12i+36s = 300

12i+36(5) = 300

12i+180 = 300

12i = 300-180

12i = 120

i = 120/12

i = 10

If she wants to sell $300 worth of product overall, and she already sold 5 sets so far, then she needs to sell 10 individual bottles to reach this monthly goal.

========================================================

Part 3

Yes it's reasonable to reach this goal. This is because the value of i (from part 2) was some positive whole number.

========================================================

Part 4

We'll repeat part 2 but with s = 12

12i+36s = 300

12i+36(12) = 300

12i+432 = 300

12i = 300-432

12i = -132

i = -132/12

i = -11

As the instructions state, we get a negative value. This is not reasonable because we can't sell a negative number of items. A negative number of items in general doesn't make sense.

The instructions further state that $432 was already made and that she exceeded her goal. Meaning that she doesn't have to worry about selling the individual bottles if selling the sets has her reach something over $300.

6 0
3 years ago
Algebra 2 (picture shown)
TEA [102]

Answer:

<em>M(13)=14.3 gram</em>

Step-by-step explanation:

<u>Exponential Decay Function</u>

The exponential function is used to model natural decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

C(t)=C_o\cdot(1-r)^t

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The element has an initial mass of Mo=970 grams, the decaying rate is r=27.7% = 0.277 per minute.

The equation of the model is:

M(t)=M_o\cdot(1-r)^t

M(t)=970\cdot(1-0.277)^t

Operating:

M(t)=970\cdot 0.723^t

After t=13 minutes the remaining mass is:

M(13)=970\cdot 0.723^{13}

Calculating:

M(13)=14.3 gram

4 0
3 years ago
7 x 1 = 7 shows the _______ property
Nimfa-mama [501]

Answer:

multiplication property of one or identity

Step-by-step explanation:

3 0
2 years ago
For a class project, students collect data about the ages of the male students (a) and their heights in inches (h). There was a
otez555 [7]
Since the equation, <span>h=1.6a+41, is linear, we know that the coefficient of x, or in this case a, is the slope. Therefore the correct answer would be

</span><span>The model predicts that for each year older a male student is, he is about 1.6 inches taller.</span>
8 0
4 years ago
Read 2 more answers
A cyclist rides her bike at a speed of
gayaneshka [121]
OK so basically when converting 2 meters per second to kilometers per hour you will get 7.2 kilometers per hour. OK so times that by 4 and you will get 28.8 kilometers in 4 hours.
8 0
3 years ago
Read 2 more answers
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