Does the MVT apply? Explain why or why not.
y=x^2/4x + 4 ;
[-6, -2]

Answers

Answer 1

Hello!

[tex]\large\boxed{\text{Yes, it does.}}[/tex]

In order to use the MVT, the function must be continuous over the given interval.

[tex]y = \frac{x^{2} }{4x}+4[/tex]

Simplifies to:

[tex]y = \frac{x}{4} + 4[/tex]

This is a linear equation that is continuous on the interval (-∞, ∞), which  means that it would also be continuous on the interval [-6, -2]. The MVT would apply to this function.


Related Questions

semejanza y congruencia ​

Answers

Answer:

English pls

Step-by-step explanation:

given the function f defined by the formula f (x)=2x+1 find the following:
evaluate f(-5)
f(-5)=
f(-5)=
f(-5)=​

Answers

Answer:

f(-5)=-9

Step-by-step explanation:

f(x)=y

So knowing that -5 is equal to x plug it in

y=(2)(−5)+1

y=−9

If you have more questions just ask.

I BEG u pls answer this question.. im using my remaining points for these and i will give u brainliest if they are correct

Answers

Answer:

Step-by-step explanation:

1. Alternate interior angles. Inside the transversal and opposing sides

8. Set all three angles equal to 180, since they're supplementary

34+41+x = 180

180 = 75+x

105 = x

how do you write 2x simplified?

Answers

Answer:

Simplify the numerator with the sine expression by taking A = B = x and simplify the denominator using A = x and B = 2x. The resulting denominator will have sin (2x) and cos (2x) which you can write in terms of sin (x) and cos (x) using the expressions above.

Step-by-step explanation:

How much fertilizer containing 30% nitrogen should be mixed with a fertilizer containing 10% nitrogen to get 10L of a fertilizer containing 12% nitrogen?

Answers

Answer:

1L of 30% fertilizer and 9L of 10% fertilizer

Step-by-step explanation:

Let x = the amount of fertilizer containing 30% nitrogen.

Let y = the amount of fertilizer containing 10% nitrogen

x + y = 10 because the two fertilizers together will be 10L

0.3x will be the amount of nitrogen in the 30% nitrogen fertilizer, and 0.1y will be the amount of nitrogen in the 10% fertilizer. If you add those together, you will get 12% of the nitrogen in the 10L mixture. This makes this equation:

0.3x + 0.1y = 0.12(10)

0.3x + 0.1y = 1.2

Now we have our two equations.

x + y = 10

0.3x + 0.1y = 1.2

We can use substitution to solve this system of equations.

x = 10 - y

Substituting this into the second equation, we have:

0.3(10-y) + 0.1y = 1.2

3 - 0.3y + 0.1y = 1.2

3 - 0.2y = 1.2

1.8 = 0.2y

9 = y

10 - 9 = 1L

There will be 9L of 10% nitrogen fertilizer and 1L of 30% nitrogen fertilizer.

3+x=x^2+3x Rewrite the equation by completing the square. What are the solutions to the equation?

Answers

Answer:

hope this helps

Step-by-step explanation:

3+x=x²+3x

Simply the equations.

= x+3=x²+3x

Subtract x²+3x from both sides.

x+3−(x²+3x)=x2+3x−(x²+3x)

−x2−2x+3=0

Factor left side of equation.

(−x+1)(x+3)=0

−x+1=0 or x+3=0

Answer:

x=1 or x=−3

Jason earns $78,000 per year. If he is paid weekly what is his weekly pay?

Answers

In one week he's made $1,500

Answer:

1,500 fffffffffffffffffffffffffffffffff

                                                     

I need help please solve for x given that TSU ~ FSG

Answers

Answer: X = 4

Step-by-step explanation:

TS/FS = SU/SG

3x-2/5 = 6/3

3(3x-2) = 6* 5

9x - 6 = 30

9x -6 + 6 = 30 + 6

9x = 36

x = 36/ 9

x = 4

Answer:

[tex]x = \frac{9}{6}[/tex]

Step-by-step explanation:

The first step is figuring out what the scale factor is

       since [tex]2 \overline{\rm US} = \overline{\rm GS}[/tex] we know the scale factor is two

The second step is setting up the equation then solving the equation

       [tex]2(3x -5) = 5[/tex]

       [tex]6x - 4 = 5[/tex]

       [tex]6x = 9[/tex]

       [tex]x = \frac{9}{6}[/tex]

Jules goes on a hike that will last five hours total she brings 12 cups of water after an hour she has drunk 3 cups of water at that rate. How many cups would use need for all 5 hours

Answers

Answer:

15

Step-by-step explanation:

If she drinks 3 per hour and she will be there for 5 hours (3 x 5 = 15) than he will need 15 cups of water and not 12.

She would need 15 cups

please help me!!!!!!

Answers

Answer:

x = 25.5

Step-by-step explanation:

Since there is a pair of parallel lines and a line cutting across the lines, ∠5 and ∠12 are interior angles and add up to 180°.

∠5 + ∠12 = 180°

5x - 11 + x + 38 = 180

Evaluate like terms.

6x + 27 = 180

Isolate 6x.

6x = 180 - 27

    = 153

Find x.

x = 153 ÷ 6

x = 25.5

x=25.5
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The perimeter of a rectangle is 58 cm. The length is 4x cm, and the width is 9 cm. Find the value of x and write out an equation that you could set up to solve for x.​

Answers

to solve perimeter, you need to add all sides. so, you would do 4x + 4x + 9 + 9=58. next you combine like terms, and you would get 8x+18=58. next, subtract 18 to get x by itself. this would be 8x=40. next step, divide by 8.

x=5

help meeeeeeeeeeeeee​

Answers

Answer:

18

Step-by-step explanation:

basic math .... hopefully it helped

Answer:

18

Step-by-step explanation:

If Frank builds a concrete rectangular walkway that is 4 feet wide by 1.5 feet deep, by 20 feet long from the house to the storage shed, what is the volume of concrete used to pave the walkway?

Feet Cubed

Answers

Answer:

120 ft

Step-by-step explanation:

Please review the full explanation below

Answer:

........................................................................................

Step-by-step explanation:

How are √25 and √-25 different in the terms of a solution for both? *

Answers

Answer:

For [tex]\sqrt{25}[/tex] it will be plus or minus [tex]\sqrt{5}[/tex]

For [tex]\sqrt{-25}[/tex] it will be plus or minus [tex]\sqrt{5i}[/tex]

Step-by-step explanation:

Well for [tex]\sqrt{-25}[/tex] it will be 5i

Because i = -1  

In AABC, AB=8, BC=10, and AC=12. Let M, N, and K be the midpoints of the sides of AABC. Find length of each side of AMNK.​

Answers

Answer:

4,5,6

Step-by-step explanation:

A midsegment connects two midpoints, and this triangle would be made up of all midsegments.  If we know that midsegments are half of the side length, then we can get our answer.

HELP ILL GIVE BRAINLIEST AND THANKS
I think my teacher is sleep deprived
I have actually no idea how to do this- none of the answer choices seem to be correct or maybe i'm just... anyways help me!!!

Question: -4pv+ 9= -5
a.3.5
b. -14
c. -45

Answers

Answer:

B. -14

Step-by-step explanation:

sana maka tulong ako sayo

at ano ba ang grade nyo

Determine the intercepts of the line.
x-intercept ( , )
y-intercept ( , )

Answers

Answer:

y-100

x-250

Step-by-step explanation:

because the lines are insecting the other lines on that line

Original: $100, Discount: 13%

Answers

Answer:

Step-by-step explanation:

$87

Complete the square and put this function in vertex form: f(x)=x^2+20x+96

Answers

Answer:

f(x) = (x+10)^2 - 4

Step-by-step explanation:

vertex form is y = a(x-h)^2+k

to complete the square, we want to add a number on both sides so x^2+20x+whatver the number is, is the square of something

to find that number take 20, divide by 2, and then square it to get 100.

so, you would get f(x)+100 = x^2+20x+100+96

subtract 96 on both sides: x^2+20x+100 = f(x) + 4

factor: f(x) = (x+10)^2 - 4

Determine weather the following graph represents a function

Answers

Answer:

it doesn't because there are places where there are two y values which just doesn't work out.

2x^2 - 3x - 2 = X + 4
The equation is represented by the system shown
here.
Check all of the solutions to this equation
-1, 3, 7, (-1, 3), (3, 7)

Answers

Answer:-1 and 3

Step-by-step explanation:

Took it on edge :)

The required solution of the given equation is (3, -1) which is the correct option (C).

What is a quadratic function?

The quadratic function is defined as a function containing the highest power of a variable is two.

The equation is below represented by the system shown here.

2x² - 3x - 2 = x + 4

Rearrange the terms of variables and constants in the above equation

2x² - 3x - 2 - x - 4 = 0

Apply the arithmetic operation in the likewise terms,

2x² - 4x - 6 = 0

2x² - 6x + 2x - 6 = 0

2x(x - 3) + 2(x - 3) = 0

(x - 3)(2x + 2) = 0

(x - 3) = 0 and (2x + 2) = 0

x = 3 and 2x = - 2

x = 3 and x = - 1

Therefore, the required solution of the given equation is (3, -1).

Learn more about the quadratic function here:

brainly.com/question/14083225

#SPJ2

PLS HELP FOR A GRADE DUE TODAY BRUH PLS

Answers

Answer:

A Yes, because every x-vaule has a single y-vaule

Step-by-step explanation:

None of the points share a point on the x axis meaning none of them are directly vertical of each other they are all seperate from each other.

Answer:

A

Step-by-step explanation:

please answer thank u i give brainliest to best answer

Answers

Answer:

A, B, C,

Step-by-step explanation:

Just use a calculator...?

a)

[tex]2^-^2*2^8=\frac{1}{2^2}*2^8=\frac{2^8}{2^2}=2^8^-^6=2^6=64\\[/tex]

b)

[tex]3^-^5*3^1=\frac{1}{3^5}*3=\frac{3}{243}=\frac{1}{81}[/tex]

c)

[tex]4^4*4^-^3=\frac{4^4}{4^3}=4^1=4[/tex]

d)

[tex]5^3*5^-^1=\frac{5^3}{5^1}=5^2=25[/tex]

e)

[tex]6^-^8*6^-^6=\frac{6^6}{6^8}=6^-^2=\frac{1}{6^2}=\frac{1}{36}[/tex]

f)

[tex]8^2*8^-^4=\frac{8^2}{8^4}=8^-^2=\frac{1}{8^2}=\frac{1}{64}[/tex]

the answers are A B and C

I NEED HELP ASAP PLEASE AND THANK YOU.

Answers

Answer:

C

Step-by-step explanation:

Happy Holidays ❄️☃️

Use substitution to solve the system x=2y-5 and -2x+5y=11

Answers

Answer:

(-3, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations by substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

x = 2y - 5

-2x + 5y = 11

Step 2: Solve for y

Substitution

Substitute in x:                    -2(2y - 5) + 5y = 11Distribute -2:                       -4y + 10 + 5y = 11Combine like terms:           y + 10 = 11Isolate y:                              y = 1

Step 3: Solve for x

Define original equation:                    x = 2y - 5Substitute in y:                                     x = 2(1) - 5Multiply:                                                x = 2 - 5Subtract:                                               x = -3

ab and bc length and midpoint

Answers

Is there a picture of the figure?

Emily has 5 packs of gum. Each pack has 50 pieces of gum. If Emily eats 9 pieces of gum, how many pieces of gum are left in all? Emily that’s a lot of gum...

Answers

she will have 241 pieces of gum

Ms. Ochoa recorded the age and shoe size of each
student in her physical education class. The graph
below shows her data.
Ages and Shoe Sizes of Students
in Ms. Ochoa's Class
9
.
83
8 8
.
Shoe Size of Student
7
6
0
13
14
11 12
Age of Student (years)
Which of the following statements about the graph
is true?

Answers

Answer:

The graph shows no trend.

Step-by-step explanation:

See attachment for given graph

Required

What is true about the graph?

From the attached graph, the following points can be deduced:

The data points show no patternThe data points at the same horizontal or vertical level are far away from one anotherWe can not conclude if y increases or decreases as x increase or decreases

Because of the highlighted points, it is safe to conclude that the graph shows no trend.

Answer:

D

Step-by-step explanation:

PLS HALP ASAP WILL GIVE BRAINLIEST FOR BEST ANSWER!!!

Steve set up a business making friendship bracelets. He earned $70 in January. He is projected to earn 120% more in February. How much is Steve projected to make in February? (1 point)

Question 30 options:

1)

$84

2)

$98

3)

$154

4)

$190

Answers

Answer:

70+120/100x70(1+100/100)=(100/100+120/100)= 220/100 hope helps you

Step-by-step explanation:

Answer:

154 dollary doooos

Step-by-step explanation:

I WILL GIVE BRAIN THING

Use algebra tiles to model the expression and combine like terms. Complete the statements. x + x + x + x + 4 – 1 Combine the x tiles to get . Combine the integer tiles to get . The equivalent expression is . You can use to verify the expressions are equivalent.

Answers

Answer:

1) Combine the x tiles to get: [tex]\mathbf{4x}[/tex]

2) Combine integer tiles to get: 3

3) The equivalent function is: [tex]\mathbf{4x+3}[/tex]

4) If we Substitute any value of x both expressions will be equivalent

Step-by-step explanation:

We are given expression: [tex]x+x+x+x++4-1\\[/tex]

We need to complete following statements.

1) Combine the x tiles to get:

[tex]x+x+x+x\\=4x[/tex]

Combine the x tiles to get: [tex]\mathbf{4x}[/tex]

2) Combine integer tiles to get:

[tex]+4-1\\=3[/tex]

Combine integer tiles to get: 3

3) The equivalent function is:

[tex]x+x+x+x++4-1\\\\4x+3[/tex]

The equivalent function is: [tex]\mathbf{4x+3}[/tex]

4) If we Substitute any value of x both expressions will be equivalent

Verifying:

[tex]x+x+x+x+4-1=4x+3\\Let\: x = 1\\1+1+1+1+4-1=4(1)+3\\4+4-1=4+3\\7=7[/tex]

So, Both expressions are equivalent.

The answer is "4x" for the first box

                        "3" for the second box

                        "4x + 3" for the third box

And "Substitution"  for the last box

                                               You're Welcome!

    PS: I want to thank the first person for answering, you are amazing,

                                                       thanks!

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