All categories

4 years ago

Find the average rate of change of the function over the given interval.

Mathematics

1 answer:

Minchanka [31]4 years ago

6 0

Answer:

Average rate of change = 20.2

Rate of change at the left endpoint : f' (5) = 4t = 20

Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4

Step-by-step explanation:

The average rate of change of the function

F(t) = 2t^2 - 1 , [ 5,5.1 ]

solution

$\frac{f(5.1)-f(5)}{5.1 - 5}$ = $\frac{2*(5.1)^2-1-(2*5^2-1)}{0.1}$ = [ 2 ( 26.01 - 25 ) / 0.1 ]

= 2.02 / 0.1 = 20.2

Rate of change at the left endpoint : f' (5) = 4t = 20

Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4

You might be interested in

You split $1500 between two savings accounts one pays 4%interest and the other pays 5% after one year you have earned $69.50 in

ANTONII [103]

Answer:

Step-by-step explanation:

Use the basic simple interest formula:

P * r * t = I and put the info into a table with those variables along the top, formig the columns we need:

P * r * t = I

Acct 1

Acct 2

If we have a total of 1500 to split up between 2 accounts, we put x amount of money into one and then have 1500-x left to put into the other. We will fill those in along with the interest rates in decimal form and the time of 1 year:

P * r * t = I

Acct 1 x .04 1

Acct 2 1500-x .05 1

Looking at the formula we are told that Prt = I, so we will multiply P times r times t and fill in the I column:

P * r * t - I

Acct 1 x .04 1 .04x

Acct 2 1500-x .05 1 .05(1500-x)

The total Interest earned by the addition of the interest earned from both accounts is 69.50. So we add the interest column together and set it equal to 69.50:

.04x + .05(1500 - x) = 69.50 and

.04x + 75 - .05x = 69.50 and

-.01x = -5.5 so

x = 550

That's how much money is in the account earning 4% interest.

7 0

3 years ago

Which function is equivalent to F(x)=-4(x+7)^2-6?

Gemiola [76]

$\huge\mathfrak\orange{answer}$

Simplify this quadratic function given in vertex form into standard form by simplifying the exponents and adding like terms.

$f(x) = \red{-4(x+7)^2 - 6}$

$f(x) = -4(x^2 + 14x + 49) - 6$

$f(x) = -4x² - 64x - 196 - 6$

$\underline{f(x) = -4x² - 64x - 202}$

(good luck :) and mark me brainliest if you're satisfied with my answer)

7 0

3 years ago

Find the product of 0.51 x 2.427

Natalka [10]

Answer:1.23777

Step-by-step explanation: Calculators answer

7 0

2 years ago

Please please help mane :((( give explanation plsss :(((

Deffense [45]

Answer:

$2x - 1 > 4x + 6 \\ 2x - 2x - 1 > 4x - 2x + 6 \\ - 1 > 2x + 6 \\ - 6 - 1 > 2x \\ - 7 > 2x \\ \frac{ - 7}{2} > x$

I hope I helped you^_^

3 0

3 years ago

Find the cosine of ∠T.

Ostrovityanka [42]

ANSWER: ∠T = 32.4°

Remember the formula for the basic trig functions: SOH CAH TOA

Since you want to find cosine for <T, you need the adjacent side length as well as the hypotenuse's length which can be found using the Pythagoras's Theorem $a^2+b^2=c^2$ with a and b being the side lengths and c being the hypotenuse.

Using the theorem, we get c=37

Now use the cosine formula to get <T = 12/37 to get the final answer.

4 0

3 years ago