MATHEMATICS HIGH SCHOOL

Use the graph of f(x) = |x(x2 − 1)| to find how many numbers in the interval [0.5, 0.75] satisfy the conclusion of the Mean Value Theorem.

Answers

Answer 1
Answer:

Answer:

1 time

Step-by-step explanation:

f(x) = |x(x^2 − 1)|

The mean value theorem states

f'(c) = f(b) -f(a)

         -------------

           b-a

b = .75

a = .5

f(b) = abs(.75 * (.75^2 -1)) = abs (.75*(-.4375))=abs(-.328125)

                                        = .328125

f(a) = abs(.5 * (.5^2 -1)) = abs(.5*(-.75))=abs(-.375) = .375


                       .328125- .375

f'(c)  =       -------------------------------------------------

                          .75-.5

f'(c) = -.1875

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Calculate y when x = 5

Y=2x+3

Answers

Answer: y=13

Step-by-step explanation:

y=2(5)+3\nmultiply\ny=10+3\nadd\n10+3=13\ny=13

y=13

Step-by-step explanation:

given that,

x=5

to find,

y=2x+3, when x=5

substitute 5 in the place of "x" we get,

y=2×5+3

according to BODMAS rule( bracket of division multiplication addition and subtraction) first we have to multiply 5 with 2 and then add the product with 3 we get,

y=10+3

y=13

Solve for x. (Geometry)

Answers

Step-by-step explanation:

Hey there!

Solve:forx

Here;

As the lines are parallel lines;

x+124° + x+64° = 180° [Co-interior angles sum is 180°]

2x = 180°-188°

x = ( - 8)/(2)

Therefore the value of x is -4.

Hope it helps...

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The charge of ISD from Biratnagar to Tokyo is Rs 125 for the first 3 minutes and Rs 15 for every additional 10 seconds. If a man made a call from Biratnagar to his friend in Tokyo and paid Rs 305, how long did he make a call

Answers

We know he talked for over 3 minutes since the total is 305 which is > 125 (the cost of 3 minutes). The remaining amount he paid is 305-125= 180. He was charged 15 per 10 seconds which amounted to 180. 180/15=12 which means he was charged 12 times. Each time charged it was because he took 10 seconds so in total he took 12x10= 120 second. That’s 2 minutes. The two minutes he was charged 15s plus the first 3 minutes he was charged 125 is 5 minutes. We can plug in the numbers to make sure we are right. If he talked for 5 minutes then we know for the first three he was charged 125 and the additional two he was charged 15s (s representing 10 seconds). We can put the 125 aside for now to figure out the 15s. If he took two minutes then he took 120 seconds. Divide that by 10 because he’s getting charged per 10 seconds not per second so that’s 12. 15(12) is 180. 125 + 180 is 305

*** he took five minutes talking on the phone***

If an 8 pound bag of rice cost $9.60 , what is the cost of 1 pound of rice ?

Answers

the answer is $1.20
to get this you divide 9.60 by 8

andera deposited 300$ in savings account that pays 3% simple annual interest,How much interest will andera earn at the end of three years

Answers

Answer:

27

Step-by-step explanation:

Simple interest is given by

I = Prt where I is the interest, P is the principle, r is the rate and t is the time

I = 300 * .03 * 3

I =27

27 dollars is made in interest

Answer: $27

Step-by-step explanation:

First you need to find 3% of 300 in order to find the annual interest.

3% = 0.03

300 * 0.03 = 9

The annual interest is $9. Now you need to multiply that by 3 to find the interest in 3 years.

9 * 3 = 27

The interest for 3 years is $27.

How do I evaluate -7 5/6 + (-7 1/4)

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