Evaluate the function:

f(x)=x2−x, find f(−10)

Answer:

see explanation

Step-by-step explanation:

Using the product rule

Given

y = f(x)g(x) , then

[tex]\frac{dy}{dx}[/tex] = f(x).g'(x) + g(x).f'(x) ← product rule

(a)

let

f(x) = (3x - 1)³ , then using the chain rule

f'(x) = 3(3x - 1)² × [tex]\frac{d}{dx}[/tex](3x - 1) = 3(3x - 1)² × 3 = 9(3x - 1)²

let

g(x) = 2x + 5 ⇒ g'(x) = 2

Then

[tex]\frac{dy}{dx}[/tex] = (3x - 1)³ . 2 + (2x + 5) × 9(3x - 1)²

    = 2(3x - 1)³ +9(3x - 1)²(2x + 5) ← factor out (3x - 1)²

    = (3x - 1)²[ 2(3x - 1) + 9(2x + 5) ]

    = (3x - 1)² [ 6x - 2 + 18x + 45 ]

    = (3x - 1)²(24x + 43)

--------------------------------------------------------------

(b)

let

f(x) = 3x - 2 ⇒ f'(x) = 3

let

g(x) = 2x² + 3 ⇒ g'(x) = 4x

Then

[tex]\frac{dy}{dx}[/tex] = (3x - 2).4x + (2x² + 3). 3 ← distribute parenthesis

    = 12x² - 8x + 6x² + 9

    = 12x² - 8x + 9

Note

It is usual to simplify after differentiating the expressions

Answer:

where is the question though

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

Answer:

X=-2

Step-by-step explanation:

Let's solve your equation step-by-step.

4(4x−4)+x+4=−46

Step 1: Simplify both sides of the equation.

4(4x−4)+x+4=−46

(4)(4x)+(4)(−4)+x+4=−46(Distribute)

16x+−16+x+4=−46

(16x+x)+(−16+4)=−46(Combine Like Terms)

17x+−12=−46

17x−12=−46

Step 2: Add 12 to both sides.

17x−12+12=−46+12

17x=−34

Step 3: Divide both sides by 17.

17x

17

=

−34

17

x=−2

Answer:

x=−2

Answer:

x=2

Step-by-step explanation:

Hope this helps!! If you need step by step I'll comment it in the comments.

Answer:

-14

Step-by-step explanation:

Plug 3 in for x

-2 (3)² + 3 + 1

-2 (9) + 3 + 1

-18 + 3 + 1

-14

Answer:

f(3) = -14

Step-by-step explanation:

[tex]f(x)=-2x^{2} +x+1\\f(3)=-2(3)^2+3+1\\f(3) = -2(9)+4\\f(3) = -18+4\\f(3) = -14[/tex]

Answer:

1/2 over 7/8

Step-by-step explanation:

becauseim smartt

Answer:

the bridge is 90ft long.

Step-by-step explanation:

3/18=15/x

solve for x

use reciprocals to get x as numerator for easier calculation

18/3=x/15

270/3=x

x=90ft

Answer:

13

Step-by-step explanation: If each glass can hold 1 liter than 13 glasses can hold 13 liters.

Answer:

Answer is C...........................

Step-by-step explanation:

Answer:

C.) y = -2x

Step-by-step explanation:

To solve for y, u gotta divide both sides by -2 to get y by itself. When u do that, u get -2x.

Answer:

32

Step-by-step explanation:

QC = 16 and CS = 16 so 16 + 16 = 32

Answer:

[tex]h(0) = 10[/tex]

[tex]h(4) = NaN[/tex] (Not a number)

Step-by-step explanation:

According to the statement, we get the following piecewise function:

[tex]h(x) = \left\{ \begin{array}{ccc}3\cdot x -4,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x < 0\\2\cdot x^{2}-3\cdot x + 10,\,\,\,\,\, 0\le x < 4\\2^{x}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, x\ge 5\end{array}[/tex]

The value of the function when [tex]x = 0[/tex] is:

[tex]h(0) = 2\cdot (0)^{3}-3\cdot (0) +10[/tex]

[tex]h(0) = 10[/tex]

The value of the function when [tex]x = 4[/tex] is undefined, since 4 is out of any of the intervals covered by [tex]h(x)[/tex].

[tex]h(4) = NaN[/tex] (Not a number)

Answer: h(0)=10

h(4)=30

Step-by-step explanation:

Answer:

b) similar by SSS theorem

Step-by-step explanation:

Answer: 56 785 is written as fifty six thousand, seven hundred and eight five. The number 406 090 is written as four hundred and six thousand and ninety. Numbers with seven, eight or nine digits, are millions. 46 758 442 is forty six million, seven hundred and fifty eight thousand, four hundred and forty two.

Step-by-step explanation:

The number would be 794 in figure form which represents seven hundred and ninety-four.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.

Calculating the number of quantities for an object or the Number of things left in the container are only two examples of the types of mathematical operations that utilize the Number System.

We have to write the number seven hundred and ninety-four in figures

As per the given statement, the expression would be:

⇒ 700 + 94

⇒ 794

Therefore, the number seven hundred and ninety-four in figure form would be 794.

Learn more about the number system here:

https://brainly.com/question/21751836

#SPJ5

Answer:

92

Step-by-step explanation:

161 divided by 7 is 23. so you just multiply 4 by 23. And that gets you the answer. Hope this helps:)

Answer:

x=92

Solve for x by simplifying both sides of the equation, then isolating the variable. hopes this helps have a great day <3 :)

Answer:

2.8

Step-by-step explanation:

0.5a - 1.9b

~Substitute

0.5(17) - 1.9(3)

~Simplify

8.5 - 5.7

~Subtract

2.8

Best of Luck!

Answer:

At least 15 weeks

Step-by-step explanation:

If Ella needs at least $360, she will have to save her $25 constantly for about 15 weeks.

25*15=375, which is more than 360, so she will have leftover money.

Answer:

2 weeks + 1day

Step-by-step explanation:

7 days a week. 7 + 7 = 14

25 x 14 = $350, missing another 10 dollars.

25 x 15(adding a extra day) = 275.

in change, you have 15 dollars left.

Answer:

Your answer is D i guess

Step-by-step explanation:

Here you go mate

step 1

30 - 5(15- 10)  equation/question

step 2

30 - 5(15- 10)  simplify

30-(5)^2

30-25

answer

5

Answer: 10 sq units

Step-by-step explanation:

Area of triangle: 1/2 x b x h

1/2 x 2 x 2 = 2

Area of the left triangle is 2 sq units

1/2 x 4 x 2 = 4

Area of the right triangle is 4 sq units

Area of square: l x w

2 x 2 = 4

Area of square is 4 sq units

Area of figure: A of square + A of r tri. + A of left tri.

4 + 4 + 2 = 10

The area of the figure is 10 sq units.

Answer:

0.005

Step-by-step explanation:

10^-5 =0.00001

0.00001x1= 0.00001

0.00001x 500=0.005 miles

Answer:

15.8

Step-by-step explanation:

So top of 15ft + 0.8 ft = 15.8 ft

meaning the strings needs tobe 15.8 ft long

Answer:

B

Step-by-step explanation:

Answer: 4

         ______

           _\ _~-\___

   =  = ==(____AA____D

               \_____\___________________,-~~~~~~~`-.._

               /     o O o o o o O O o o o o o o O o  |\_

               `~-.__        ___..----..                  )

                     `---~~\___________/------------`````

                     =  ===(_________D

Answer:

Ur seriously taking Charles Geometry exam, and post the question here

Step-by-step explanation: Since ur so desperate by asking here evelyn, the answer is D since monica can only throw 75 feet and John is 70 feet away from her.

Answer:

The percent of interest is 12.3% per year

Step-by-step explanation:

According to the question Elwood invested 5000 $ in market account

The market account gives the compound interest annually

let p be the interest per year then

At the end of 1st year

amount =(1+0.p) x 5000  = 1.p x 5000

similarly at the end of 2nd year

amount =(1+0.p) x(1+0.p)x 5000  = [tex](1.p)^{2}[/tex] x 5000

similarly at the end of 3rd year

amount = 7100 $ = [tex](1.p)^3[/tex] x 5000

⇒ [tex]\frac{71}{50}[/tex] = [tex](1.p)^3[/tex]  

1.392 =  [tex](1.p)^3[/tex]

on further solving we get

1.p = [tex](1.42)^{1/3}[/tex] = 1.123

thus 1.p = 1 + 0.p = 1.123

thus p = 0.123

thus the percent of interest is 12.3% per year

Answer:

drop down 1 a slower rate per year

drop down 2 670

Step-by-step explanation:

as in three years you get $7100

you take that and subtract it by your starting amount (5000)

7100-5000= 2100

then divide 2100 by the number of years (3)

to get your annual rate of 700$

then you take the 8 year total and subtract it from your 3 year total

10350-7100= 3250

Then divide that by 5 because that how many years it has been

to get the annual rate of 650

making the 5 year rate slower.

The to find the average rate over all 8 year you take 10350 and subtract it from your starting number 5000

10350-5000= 5350

then take 5350 and divide it by the number of years (8)

you then get you average rate of 668.75

668.75=670

Hope this helps!

Answer:

A company provides commisssion to its agent at the following rate.

-0.5% in the sale upto Rs.15 lakh

-1% in the sale from 15 lakh to Rs.25 lakh

-1.5% in the sale from Rs.25 to Rs.40 lakh

-2% in the sale above Rs.40 lakh

calculate the amount of commission that can be obtained from the following sale amount by using the above rate of commission is 38 lakh

Answer:

The person must leave the money for approximately 14.8 years.

Step-by-step explanation:

This can be calculated using the formula for calculating the future value as follows:

FV = PV * (1 + r)^n …………………………………. (1)

Where;

FV = Future value of the investment = 5600

PV = Present value of the investment = 3000

r = semiannual interest rate = 4.25% / 2 = 0.0425 / 2 = 0.02125

n = number of semiannuals = ?

Substitute the values into equation (1) and solve for n, we have:

5600 = 3000 * (1 + 0.02125)^n

5600 / 3000 = 1.02125^n

1.02125^n = 1.86666666666667

Loglinearizing both sides, we have:

nlog1.02125 = log1.86666666666667

n = log1.86666666666667 / log1.02125

n = 0.271066772286539 / 0.0091320695404719

n = 29.6829509548973

Since n is number of semiannuals, we divide the answer by 2 obtain the number of years as follows:

Number of years = 29.6829509548973 / 2 = 14.8414754774487

Rounding to the nearest tenth of year, we have:

Number of years = 14.8

Therefore, the person must leave the money for approximately 14.8 years.

Answer:

d is false

Step-by-step explanation:

water = 14 and cola is 28

you are half as likely to select a water than cola

Answer:

Step-by-step explanation:

It's C.