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inna [77]
3 years ago
13

Find the inverse of the following f(x)=-3x^2+3 X>0

Mathematics
1 answer:
Slav-nsk [51]3 years ago
3 0

Answer

f^-1(x) =√[(3-x)÷3]

Step-by-step explanation:

y=-3x^2+3

interchange 'y' with 'x'

x=-3y^2+3

make y the subject

3y^2=3-x

divide by '3' both sides

y^2=(3-x)÷3

apply square root both sides

√(y^2)=√[(3-x)÷3]

y=√[(3-x)÷3]

f^-1(x) =√[(3-x)÷3]

the inverse of the given function is

f^-1(x)=√[(3-x)÷3]

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find two consecutive intergers who sum is equal to the difference of three times the larger and two times the smaller
vekshin1

Answer:

4 and 6

Step-by-step explanation:

Let integers be x and x+2 Then:-

x + x + 2  = 3(x + 2) - 2x

2x + 2 = 3x + 6 - 2x

2x + 2 = x + 6

x = 4

The numbers are 4 and 6.

3 0
2 years ago
Holly scored an 88, 91, 89, 84, and a 98 on the last five math tests. What is her mean test score?
zaharov [31]

Answer:the mean is 90

Step-by-step

you find the sum of the values then divide them by the amount of numbers in the set

7 0
2 years ago
Tia had a garden that was 2 meters long. Her brother used 458 millimeters of the length at one end as a worm farm
Nastasia [14]

Answer:

154 centimeters

Step-by-step explanation:

Each meter is 1000 millimeters or 100 centimeters, and if Tia's brother used 458 millimeters of 2000 millimeters, you can subtract 458 from 200 and you get 1542. Since the answer options are in centimeters, simply divide by 10 and you get the answer in centimeter form (154)

6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Csf%20%5Csqrt%7B12%7D%20%5Ctimes%20%5Csqrt%7B12%7D" id="TexFormula1" title="\sf \sqrt{12} \t
Darina [25.2K]

Answer:

12

Step-by-step explanation:

\sqrt{12} \times\sqrt{12}

\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a,\:\quad \:a\ge 0

\sqrt{12}\sqrt{12}=12

=12

7 0
2 years ago
A bank teller knows that she received 34 dimes and nickels from a customer. If the change totaled $2.05, how many dimes and nick
ivanzaharov [21]
D = # of dimes
n= # of nickles

d + n = 34 so d = 34 - n
.10d + .05n = 2.05

substitute d = 34 - n into .10d + .05n = 2.05

.10d + .05n = 2.05
.10( 34 - n) + .05n = 2.05
3.4 - .1n + .05n = 2.05
     -.05n = -1.35
  n = 27

d = 34 - n
d = 34 - 27
d = 7

answer

<span>she received 7 dimes and 27 nickels</span>
7 0
3 years ago
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