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Ket [755]
3 years ago
8

Help please what is the inverse of the function

Mathematics
1 answer:
Svet_ta [14]3 years ago
4 0

I hope this helps you

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The junior and senior students at Mathville High School are going to present an exciting musical entitled, "Math, What is it Goo
xeze [42]

Some parts are missing in the queston. Find attached the picture with the complete question

Answer:

                   \large\boxed{\large\boxed{161}}

Explanation:

Let's put the information in a table step-by step.

                                                (number of remaining students)

                                                        Juniors          Seniors

Condition

  • Initially                                           J                     S
  • 15 seniors left                                                   S - 15
  • Twice juniors as seniors         2(S - 15)
  • 3/4 of the juniors left              1/4×2(S - 15)
  • 1/3 of seniors left                                             2/3×(S - 15)

At the end, there were 8 more seniors than juniors:

  • 2/3×(S - 15) -  1/4×2(S - 15) = 8

Now you have obtained one equation, which you can solve to find S, the number of senior students, and then the number of junior students.

Solve the equation:

2/3\times (S - 15) -  1/4\times 2(S - 15) = 8

  • Mutilply all by 12:

8(S - 15)-6(S - 15)=96

  • Distribution property:

8S-120-6S-90=96

  • Addtion property of equalities:

8S-6S=96+120+90

  • Add like terms:

2S=306

  • Division property of equalities:

S=306/2=153

That is the number of senior students that came out to the information meeting, but the number of students remaining to perform in the school musical is (from the table above):

2/3\times (S-15)+1/4\times 2(S-15)

Just substitute S with 153 fo find the number of students that remained to perfom in the musical:

          2/3\times (153-15)+1/4\times 2(153-15)\\ \\ 2/3(138)+1/2(138)

          161

5 0
3 years ago
12<br> x<br> −<br> 15<br> =<br> 6<br> −<br> 3<br> x
11Alexandr11 [23.1K]

Answer:

x= 7/5 (1 2/5 or 1.4)

Step-by-step explanation:

Move the variable to the left-hand side and change its sign.

12x-15+3x=6

Move the constant to the right-hand side and change its sign.

12x+3x=6+15

Collect like terms.

15x=21

Divide both sides of the equation by 15.

x=7/5 (1 2/5 or 1.4)

5 0
3 years ago
Does anyone play Fortnite mobile
inn [45]

Answer:

No

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
PLEASE ANSWER THIS FAST-Name the angles and sides of each pair of triangles that are congruent.
Alexxandr [17]

Answer:

1. Gh is congruent to Gh. Hf is congruent to HL. Gf is congruent to GL. Angle G is congruent to angle G. Angle h is congruent angle h. Angle F is congruent to angle L.

2. Cb is congruent to Jk. Bd is congruent to KL. Cd is congruent to JL. Angle c is congruent to angle j. Angle b is congruent to angle j. Angle d is congruent to angle L.

3. Wx is congruent to Dc. Xy is congruent to Cy. Wc is congruent to Dy. Angle w is congruent to angle d. Angle c is congruent to angle x. Angle y is congruent angle y.

Tip: Label the statement 1 , 2, 3 and do the same to the other one. It will make your life so much easier.

3 0
3 years ago
The population of a town after t years is represented by the function f(t)=7,248(0.983)tf(t)=7,248(0.983)t.
lidiya [134]

Answer:

The population of the town is 0.983 times the population of the town in the previous year.

B is correct.

Step-by-step explanation:

We are given a function which represent population of a town after t years.

f(t)=7248(0.983)^t

It is an exponential function. Exponential function wither decease or increase it depends on factor.

y=a\cdot b^x

b is factor which decides factor of exponential function decrease or increase.

  • If b >1 then function increase
  • If 0<b<1 then function decrease.

If we see our problem f(t)=7248(0.983)^t

Here, b=0.983<1

Function would be decrease by factor of 0.983

Thus, The population of the town is 0.983 times the population of the town in the previous year.

7 0
3 years ago
Read 2 more answers
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