2 years ago

Graph the equation 6x-y=-1

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

8 0

What does x and y represent?

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Consider the function f(x)=−2x3+2x2−2x+2 Find the average slope of this function on the interval (4,9). By the Mean Value Theore

____ [38]

Answer:

Average slope =-242

c=6.67

Step-by-step explanation:

We are given that a function

$f(x)=-2x^3+2 x^2-2 x+2$ and interval (4,9)

We have to find the average slope of the given function and value of c in the given interval.

Using mean value theorem

${f(b)-f(a)}{b-a}=f'(c)$

a=4 and b=9

$f(9)=-2(9)^3+2(9)^2-2(9)+2$

f(9)=-1312

$f(4)=-2(4)^3+2(4)^2-2(4)+2$

$f(4)=-128+32-8+2=-102$

Substitute the values then we get

$f'(c)=\frac{f(9)-f(4)}{9-4}=\frac{-1312+102}{5}=-242$

Hence, the average value of slope is -242.

We know that f'(c)=-242

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

Substitute x=c

Then $f'(c)=-6c^2+4c-2$

$-6 c^2+4 c-2=-242$

$-3 c^2+ 2c -1=-121$

Dividing on both sides by 2

$3c^2-2c+1-121=0$

$3c^2-2 c-120=0$

$3c^2-20c+18c-120=0$

$(3c-20)(c+6)=0$

$3c=20$ and $c+6=0$

$c=\frac{20}{3}$ and c=-6 It is not possible because it does not lie in the given interval

Therefore,c=6.67 lie in the given interval

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3 years ago

Please I need help I mark brainliest!

jeyben [28]

Answer:

C) Subtract the sum 15 and 12 from 40

Step-by-step explanation:

15 + 12 = 27

40 - 27 = 13

Therefore Monica's change would be $13.

Hope this helps! :)

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3 years ago

Find the proportion of test worth 75 points; test score of 96%

tester [92]

75*96%

=75*0.96

=72

so 72 points you get

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3 years ago

About how many inches does a 30 inch diameter tire roll in one turn?

ki77a [65]

Answer:

10 inches

Step-by-step explanation:

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Alaina is selling wreaths and poinsettias for her chorus fundraiser wreaths cost $27 each poinsettias cost $20 each if she sold

Olegator [25]

she sold 9 wreaths that day

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