1. Verify that the function
satisfies the three
hypotheses of Rolle's
Theorem on the given
interval. Then find all
numbers c that satisfies the
conclusion of Rolle's
The orem.
y=-x^3+ 4x^2 – 3 ; [0, 4]

Answers

Answer 1

Answer:

0 and 8/3

Step-by-step explanation:

y is continuous on [0,4]

It also also differentiable on (0,4)

Plugging in 0 and 4, we get -3 both times so y(0) = y(4).

Therefore there is at least one value c between 0 and 4 inclusive where y'(c) = 0

y' = -3x^2 + 8x

Set that to 0:

-3x^2 + 8x = 0

x(-3x+8) = 0

x = 0 or 8/3

And both values work.


Related Questions

Please help me with this homework

Answers

39) y=20x+175

40) y=20(2)+175, so $215

1+1+13766969+736837737

Answers

Ummmm no I can’t tell you LOL

Find the slope of the line that passes through the two points below."
(7,-1) and (9,0)

Answers

Answer:

0.5

Step-by-step explanation:

Given points (7,-1) and (9,0), m = 1/2 = 0.5.

Answer:

(y2-y1)/x2-x1

(0+1)/(9-7)=1/3

Step-by-step explanation:

2+2=????????????????????????????????

Answers

Answer:

the answer is 4

Step-by-step explanation:

2+2=4

What is the value of (-5)^4

Answers

Answer:

625 ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

625

-5*-5*-5*-5

-25*-25= 625

Would the answer be 7c? If not can you help cuz im slow

Answers

Answer:

There is only six sixes, so that would be 6c.

Step-by-step explanation:

find the area of circle with radius D cm​

Answers

Answer:

i cant help much.

Step-by-step explanation:

To find the area of the circle you do π (pie) x radius squared.

A store is having a sale. The price of a jacket is set to decrease by $1.50 during each hour of the sale. How long will it take for the price of the jacket to decrease by $18.00?

Answers

Answer: It will take 12 hours for the price of the jacket to decrease by $18

Step-by-step explanation: All you got to do for this problem is 18 divided by 1.50 to get $12.

The cost of manufactured goods is rising at the rate of inflation, or at about 2.3% 2.3 % . Suppose an item costs $12 $ 12 today. How much will it cost five years from now due to inflation? Round the answer to the hundredth.

Answers

Answer: $13.44

Step-by-step explanation:

Inflation is causing the manufactured goods to rise at 2.3% per year. The price in 5 years can be calculated using compound interest formula:

= 12 * ( 1 + 2.3%)⁵

= ‭13.444956907696116‬

= $13.44

Identify the coefficient of x.
Equation

Answers

Answer:

A coefficient is a number in front of a variable. For example, in the expression x 2-10x+25, the coefficient of the x 2 is 1 and the coefficient of the x is -10. The third term, 25, is called a constant.

Step-by-step explanation:

Percents
Michael is leaving a 15% tip for his waitress. What percent of the
original price will he pay? Write your answer as a percent, decimal,
and fraction.

Answers

Answer:

As a percent: 115%

As a decimal: 1.15

As a fraction: [tex]\frac{23}{20}[/tex]

Step-by-step explanation:

Percentages

Suppose Michael spends some amount of money on food, and that money is set at 100%. He leaves a 15% tip for the waitress.

Thus, he is really paying 100%+15% = 115% of the original price.

To express a percentage as a decimal, we just divide by 100:

115% = 115/100 = 1.15

The same division should be simplified instead of operated to express the percentage as a fraction:

115% = [tex]\frac{115}{100}[/tex]

Simplifying by 5:

115% = [tex]\frac{23}{20}[/tex]

Summarizing:

As a percent: 115%

As a decimal: 1.15

As a fraction: [tex]\frac{23}{20}[/tex]

Sara rolls a fair dice 114 times. How many times would sara expect to roll a five?​

Answers

Answer:

19 times

Step-by-step explanation:

114:6=19

19.5=95

114-95=19

Answer:

1/6 times so about 19 times plz make brainliest

Step-by-step explanation:

Which is greater than 4?

(a) 5,

(b) -5,

(c) -1/2,

(d) -25.

Answers

Answer:

5

Step-by-step explanation:

all of the others are lower than 0

Look at the picture....

Answers

Answer:

D

Step-by-step explanation:

f(x)=/x+0.5/

I hope it helps

20 points!
I need help!
I will also be doing a 50 point giveaway later!

Answers

Answer:

1; 12.75

2; 47.8 or 47.3

Step-by-step explanation:

52× .25 is 13 then you subtract .25 from 13

and

94.60× .5 is 47.3 then you add the tax, 47.3+ .5 is 47.8.

Answer:

1; 12.75

2; 47.8 or 47.3

Step-by-step explanation:

Select the graph for the solution of the open sentence. Click until the correct graph appears.
IX - 1l <4

Answers

Answer:

Here we can not see the options, so i will find the graph by the equation alone.

We start with:

Ix - 1I < 4

We could rewrite this as:

-4 < (x - 1) < 4

Now we can add 1 in the 3 parts, to get:

-4 + 1 < x - 1 + 1 <  4 + 1

-3 < x < 5

This means that the graph will be such that:

x >  -3   (this is a dashed line at x = 3, and we shade the part in the right of that line)

and:

x < 5   (this is a dashed line at x = 5, and we shade the part in the left of that line)

The graph would look something like the one below

(If the graphs are only in one axis, you should see a white dot at x = -3, than a colour line that goes to the right until the point x = 5, where we have another white dot)

Please help out, what is the slope here? This question is worth 20 points

Answers

Answer:

the slope is 1

you find two points that are directly on an intersection of the grid. and then count rise/run

rise is going up and down and run is left and right

start at the point you found furthest to the left and count to the next point that's to the right.

if you have to go down to find it or left to find it, the slope is negative

in this case. theres a point at (-1,0) and (0,1)

you have to count up one and right one, making the slope 1/1 or simplified to 1

Step-by-step explanation:

I hope this helps :)

I need help Knowing What This thing does Before they ban me XD meme life

Answers

Helps I get answers when u need help with school mark brainliest and memes for life

What is the measure of x

Answers

Answer:

x=100°

Step-by-step explanation:

x+80°=180°( straight angle)

x=180°-80°

x=100°

hope it helps.

Identify the slope.
A. 4
B. 0
C. 2
D. 1

Answers

Answer:

2, rise over run. 2/1 =2.

Help me with this one

Answers

Answer:

22/3

Step-by-step explanation:

PLEASE HELP ASAP PLEASE

Answers

26 gallons is how much his gas tank can hold
26 gallons is the answer

Smith Middle School has recycled a total of 283.45 pounds of plastic for the months of September and October. If the amount recycled in October was 130.7 pounds, which equation could be used to find the amount recycled, p, in September?


A) 283.45 + p = 130.7
B) 130.7 - p = 283.45
C) p + 130.7 = 283.45
D) p - 130.7 = 283.45

Answers

Answer:

answer is c

Step-by-step explanation

answer is c

Answer:

C is the answer

Brainliest are appreciated :DDD

Select the correct answer.
Which relation does not represent a function?
А.{(3, 0), (0, 3)}
B.{(6,-2), (5,-2)}
C.{(3, 4), (3,5)}
D.{(5, 5), (-5,-5)}
E.{(1,-2), (-2, 1)}

Answers

That leaves C...because u have repeating x values (3 is ur repeating x value)...so C is not a function

Whatcha of the following represent the solution to the given quadratic inequality? y≤-x^2-3x+10?

Answers

Answer:

correct do

Step-by-step explanation:

Help pls
Show workings

Answers

- the type of pair is vertical angle.

- to find x:

-- vertical angles are equal.

4x + 10 = 5x - 1

10 = x - 1

x = 11

The vertices of a triangle are P[4.1). Q(2.-8), and R(-8.1). What are the vertices of the image reflected across the y-axis?
O A P14.-1), Q12,8), and RX-8.-1)
B. PY-4. 1). Q1-2.-8), and R(8.1)
OC. P(-4,-1). QT-2,8), and R18.-1)
OD. P14.1). Q12.-8), and R1-8.1)

Answers

Given:

The vertices of a triangle are P(4,1), Q(2,-8), and R(-8,1).

To find:

The vertices of the image reflected across the y-axis.

Solution:

The vertices of a triangle are P(4,1), Q(2,-8), and R(-8,1). It is reflected across the y-axis.

If a figure is reflected across the y-axis, then

[tex](x,y)\to (-x,y)[/tex]

Using this rule, we get

[tex]P(4,1)\to P_1(-4,1)[/tex]

[tex]Q(2,-8)\to Q_1(-2,-8)[/tex]

[tex]R(-8,1)\to R_1(8,1)[/tex]

So, the vertices of the image are [tex]P_1(-4,1), Q_1(-2,-8), R_1(8,1)[/tex].

Therefore, the correct option is B.

Note: Options are not in proper form.

Answer:

P'(–4, 1), Q'(–2, –8), and R'(8, 1)

Step-by-step explanation:

Given: AD || BC and AD ≅ BC

Prove: AB || CD

Answers

here is your answer pls check the answer hope u can understand

What is the slope of the line through the points (-4, 2) and (-16, -6)?
2/3
−5/2
2/5
3/2

Answers

Answer:

The slope is equal to [tex]\frac{2}{3}[/tex] . So the right answer is A.

Step-by-step explanation:

We know that if we are given to points of a function we can find out its slope by using the following formula....

[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Where m is the slope,  [tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the coordinates of the first point, [tex]x_{2}[/tex] and [tex]y_{2}[/tex] are coordinates of the second point.

Let (-4, 2) be [tex](x_{1} , y_{1})[/tex]

Let (-16, - 6) be [tex](x_{2}, y_{2} )[/tex]

then......

The slope of the line will be [tex]\frac{2}{3}[/tex] i.e. option A is the correct answer.

What is slope?

Slope is or gradient of a line is a number that describes both the direction and the steepness of the line.

Slope [tex](m) =\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

We have,

Points (-4, 2) and (-16, -6)

i.e.

x₁ = -4,  x₂ = -16,

And,

y₁ = 2,   y₂ = -6

Now,

Using the above mentioned formula,

Slope [tex](m) =\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]    

i.e.

Slope [tex](m) =\frac{-6-2}{-16-(-4)}[/tex]

On solving we get,

Slope [tex](m) =\frac{-8}{-12}=\frac{2}{3}[/tex]

So, the slope pf the given points is  [tex]\frac{2}{3}[/tex] .

Hence, we can say that the slope of the line will be [tex]\frac{2}{3}[/tex] i.e. option A is the correct answer.

To know more about Slope click here

https://brainly.com/question/3605446

#SPJ2

Find the length of side x in the simplest radical form with a rational denominator

Answers

Answer:

The value of x = 1

Step-by-step explanation:

Given

hypotenuse = √2 angle Ф = 45°

To determine

x = ?

Using the trigonometric ratio

cos Ф = adjacent / hypotenuse

here

Ф = 45°

adjacent of 45° = x

hypotenuse = √2

so substituting Ф = 45°  adjacent = x and hypotenuse = √2  in the equation

cos Ф = adjacent / hypotenuse

[tex]\cos \left(45^{\circ \:}\right)=\frac{x}{\sqrt{2}}[/tex]

switch sides

[tex]\frac{x}{\sqrt{2}}=\cos \left(45^{\circ \:}\right)[/tex]

Multiply both sides by 2

[tex]\frac{2x}{\sqrt{2}}=2\cos \left(45^{\circ \:}\right)[/tex]

[tex]\sqrt{2}x=\sqrt{2}[/tex]             ∵  [tex]\cos \left(45^{\circ \:}\right)=\frac{\sqrt{2}}{2}[/tex]

Divide both sides by √2

[tex]\frac{\sqrt{2}x}{\sqrt{2}}=\frac{\sqrt{2}}{\sqrt{2}}[/tex]

[tex]x=1[/tex]

Therefore, the value of x = 1

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