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Scorpion4ik [409]
3 years ago
8

F(x)=3(12)x−3 ; [−1,2] , Find the average rate of change of the function over the given interval.

Mathematics
1 answer:
Kryger [21]3 years ago
4 0

Step-by-step explanation:

rate of change is the 1st derivative

f'(x)=3×12×dx/dx

f'x=36

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1) the sum of three consecutive integers even is 3,2,1. find the integers.
BabaBlast [244]

3)The original rational number was 17/12.

4)The age of Ruby and Reshma are 20 and 28 years respectively.

Explanation:

3)Let the numerator be x.

So denominator will be (x - 5)

If we add 5 to numberator then it will be (x + 5)

New number is (x + 5)/(x - 5)=11/6

Solve for X by cross multiplying

6(x + 5)=11(x - 5)

6x + 30=11x - 55

5x=85

x=17

So original rational number was 17/12.

4)The ages of Ruby and Reshma are in the ratio 5:7

So, let the present ages of Ruby and Reshma be 5x and 7x respectively.

Also, it is given that four years from now the ratio of their ages will be 3:4

So, the equation - 5x + 4 / 7x + 3 = 3/4

⇒4(5x+4)=3(7x+4)

⇒20x+16=21x+12

⇒21x−20x=16−12

⇒x=4

⇒5x=20 and 7x=28

The age of Ruby and Reshma are 20 and 28 years respectively.

6 0
2 years ago
What is the reason for Statement 3 of the two-column proof?
Ivenika [448]

Refer to the attached image.

Given:

The measure of \angle JMK= 52^\circ and \angle KML= 38^\circ.

Also, Three rays ML, MK, and MJ share an endpoint M. Ray MK forms a bisector as shown in the attached image and the bisector divides angle JML into two parts.

To Prove: \angle JML is a right angle.

Proof:

  Statements                                                                                 Reasons

1. m \angle JMK=52^\circ                                            Given

2. m \angle KML=38^\circ                                           Given

3. m \angle JMK+m \angle KML=m \angle JML  

The reason for statement 3 is Angle addition postulate. As angle JML is composed of 2 angles that is angle JMK and angle KML. So by adding the measures of angles JMK and KML, we will get the measure of angle JML which is referred as Angle addition postulate.

4. 52^\circ+38^\circ = m \angle JML   Substitution property of equality

5. 90^\circ = m \angle JML                  Simplification

6. \angleJML is a right angle.      Definition of right angle

8 0
3 years ago
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Answer:

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Step-by-step explanation:

You would start by dividing 1/4 by 6. You'd have to multiply 1/4 by the reciprocal of 6 (the reciprocal of 6 would be 1/6). Then you get (1/4) * (1/6), which is equal to 1/24.

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