All categories

3 years ago

evaluate f(6) and f(6.1) and use the results to approximate f '(6). (round your answer to one decimal place.) f(x) = x(5 − x)

1 answer:

mote1985 [20]3 years ago

4 0

F(6) = 6(5 - 6) = 6(-1) = -6
f(6.1) = 6.1(5 - 6.1) = 6.1(-1.1) = -6.71

f'(6) ≈ (-6.71 - (-6))/(6.1 - 6) = -0.71/0.1 = -7.1

You might be interested in

How many 0.45-ounces packages of cinnamon can be made with 3.15 ounces of cinnamon

Studentka2010 [4]

<span>3.15/.45=7 .45 ounce packages of cinnamon.</span>

8 0

3 years ago

PLEASE HELP ME 50 POINTS!!!

Irina-Kira [14]

Answer:

it's 13a+2 pal!

Step-by-step explanation:

3 0

2 years ago

You have to make 1000 buttons.the diameter of the button is 9cm but you have to find it’s area.its $15/m squared and you have to

Semmy [17]

Answer:

$95.38

Step-by-step explanation:

step 1

Find the area of one button

The area is equal to

$A=\pi r^{2}$

we have

$r=9/2=4.5\ cm$ ---> the radius is half the diameter

Convert to meters

$r=4.5\ cm=4.5/100=0.045\ m$

assume

$\pi =3.14$

substitute

$A=(3.14)(0.045)^{2}\\A=0.0063585\ m^2$

step 2

Find the area of 1,00 buttons

Multiply by 1,000

$A=0.0063585(1,000)=6.3585\ m^2$

step 3

Find the cost

Multiply $15 per square meter by the total area of 1,000 buttons

$(15)6.3585=\$95.38$

3 0

3 years ago

Find the value of x

Ivahew [28]

Answer:

x=27

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

90 + x+23 + x+13 = 180

Combine like terms

126 +2x = 180

Subtract 126 from each side

126-126 +2x=180-126

2x =54

Divide by 2

2x/2 = 54/2

x = 27

4 0

3 years ago

5/6(2x+12)-8=4-(x+1)

alekssr [168]

For this case we have the following equation:

$\frac {5} {6} (2x + 12) -8 = 4- (x + 1)$

We apply distributive property on the left side of the equation:

$\frac {5 * 2} {6} x + \frac {5 * 12} {6} -8 = 4- (x + 1)\\\frac {10} {6} x + \frac {60} {6} -8 = 4- (x + 1)$

We simplify the left side of the equation:

$\frac {5} {3} x + 10-8 = 4- (x + 1)$

Different signs are subtracted and the major sign is placed.

$\frac {5} {3} x + 2 = 4- (x + 1)$

On the right side we must take into account that:

$- * + = -$

So:

$\frac {5} {3} x + 2 = 4-x-1\\\frac {5} {3} x + 2 = 3-x$

We add x to both sides of the equation:

$\frac {5} {3} x + x + 2 = 3\\\frac {5 * 1 + 3 * 1} {3} x + 2 = 3\\\frac {5 + 3} {3} x + 2 = 3\\\frac {8} {3} x + 2 = 3$

We subtract 2 from both sides of the equation:

$\frac {8} {3} x = 3-2\\\frac {8} {3} x = 1$

We multiply by 3 on both sides of the equation:

$8x = 3$

We divide by 8 on both sides of the equation:

$x = \frac {3} {8}$

Thus, the solution of the equation is:

$x = \frac {3} {8}$

Answer:

$x = \frac {3} {8}$

4 0

3 years ago