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ivolga24 [154]
3 years ago
12

What is the invers function of f(x)=(n+1)^3?

Mathematics
1 answer:
zimovet [89]3 years ago
8 0

Answer:

f^{-1}(x)=\sqrt[3]{x}-1

Step-by-step explanation:

f(x)=(x+1)^3\\\\y=(x+1)^3\\\\x=(y+1)^3\\\\\sqrt[3]{x}=y+1\\\\y=\sqrt[3]{x}-1\\ \\f^{-1}(x)=\sqrt[3]{x}-1

Graphing both inverses, they will be symmetrical about the line y=x.

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The CBGC pays college and high school students $5.75 per hour to tutor the younger boys and girls. If one of those tutors works
Levart [38]

Answer:

1. $35.075

2. 43.5 hours

3. 70%

4. Danny is correct

5. Abe's score out of the 30 points of the last quiz to get an overall checkup quiz grade of 80% should be 28.5

Step-by-step explanation:

The pay per hour for student tutors = $5.75

1. A tutor who worked 3.4 hours on Monday and 2.7 hours on Thursday has worked, 3.4 + 2.7 = 6.1 hours for the week, therefore

The week earning for the tutor = 6.1 × 5.75 = $35.075

2. The Club's tutoring budget per week = $250

The number of tutoring hours that can be provided per week is given by the relation;

\frac{The \, Club's \ tutoring\  budget \ per \, week}{The \, pay \ per \, hour\,  for\,  student\,  tutors} = \frac{\$250}{\$5.75/hour} = 43.47826  \approx 43.5 \, hours

3. The score of 21 out of 30 as a percentage is given as follows;

\frac{21}{30} \times 100 = 70\%

4. Where the second score is 45 out of a total of 60 points, we have;

\frac{45}{60} \times 100 = 75\%

Therefore, the increase in Abe's score is 5%, therefore, Danny is correct

5. To raise his checkup quiz grade to 80% overall, then we should have;

\frac{70 + 75 + Q}{300} =\frac{80}{100}

Where:

Q = The percentage grade of the last quiz

(145 + Q)×100 = 80×300 = 24000

145 + Q = 240

Q = 240 - 145 = 95%

Therefore, he has to score, 95% of 30 on the last quiz, which is thus;

\frac{95}{100} \times 30 = 28.5

Abe's score out of the 30 points of the last quiz to get an overall checkup quiz grade of 80% = 28.5 points.

7 0
3 years ago
PLEASE HELP ME ASAPPP!!! WORK DUE SOON :(
Dominik [7]

Answer:

 1) The third option.

2) The last option.

Step-by-step explanation:

1) f(x) is greater on the interval (0,3), which is opened, because if  you substitute x=2 you obtain the following result:

f(2)=4\\g(2)=(2)^{2}-6(2)=-8

2) If x=3, you obtain that:

 g(3)=-9\\f(3)=9

Therefore: f(3)>g(3)


4 0
3 years ago
What is the value of x????
AlekseyPX

In a 45 · 45 · 90 triangle, the hypotenuse is √2 · legs, because a 45 · 45 · 90 triangle is isosceles, so the legs are the same length. So, we have 3√2 · √2 = 6, so the hypotenuse is 6.

x=6

8 0
3 years ago
~!!!! HELPPPPPPPPP IM IN 7Th GRADE LEARNING 9TH AND 8TH HELP PLEASE !!!!~
Dafna1 [17]

Answer:

Step-by-step explanation:

Plug the point (-1,20) into the equation.

20 = a|-1|+7

13 = a|-1|

13 = a ⋅ 1

a= 13

:::::

(1,20) is another point on the graph.

5 0
3 years ago
In sale the normal price is reduced by 10% Nathalie bought a pair of shoes in the sale of 54 whats the original price
Sholpan [36]
$59.40 was the original price for the shoes

5 0
4 years ago
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