Given the function g(x) = x2 + 5x + 1, determine the average rate of change of
the function over the interval -5 < x < 4.

Answers

Answer 1

Step-by-step explanation:

the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

so,

(g(4) - g(-5)) / (4 - -5)

g(4) = 4² + 5×4 + 1 = 37

g(-5) = (-5)² + 5×-5 + 1 = 25 - 25 + 1 = 1

4 - -5 = 4 + 5 = 9

(37 - 1)/9 = 36/9 = 4

the average change rate in that interval is 4 (or fully 4/1).

Related Questions

2x + 4y + z = 2
-2y - 3z = -8
x - z = -1

Answers

Answer:

{3;-2;4}

Step-by-step explanation:

all the details are in the attachment, note, the suggested way of solution is not the only one.

3+2i/-2+i
Please solve this...

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

Given complex number is

[tex]\rm \longmapsto\:\dfrac{3 + 2i}{ - 2 + i} [/tex]

So, on rationalizing the denominator, we get

[tex]\rm \: = \: \dfrac{3 + 2i}{ - 2 + i} \times \dfrac{ - 2 - i}{ - 2 - i} [/tex]

[tex]\rm \: = \: \dfrac{ - 6 - 3i - 4i - {2i}^{2} }{ {( - 2)}^{2} - {i}^{2} } [/tex]

We know,

[tex] \rm \red\longmapsto\:\tt{ {i}^{2} \: = \: - \: 1 \: } \\ [/tex]

So, using this, we get

[tex]\rm \: = \: \dfrac{ - 6 - 7i - 2( - 1) }{ 4 - ( - 1)} [/tex]

[tex]\rm \: = \: \dfrac{ - 6 - 7i + 2}{ 4 + 1} [/tex]

[tex]\rm \: = \: \dfrac{ - 4 - 7i }{5} [/tex]

[tex]\rm \: = \: - \dfrac{4}{5} - \dfrac{7}{5} i[/tex]

please help i can’t fail this text

Answers

Answer:

the answer is c

good luck on your test

helpp me i dont know the answer

Answers

Answer: k = -1

2m = -6 that means m = -3
You can tell by dividing -6 by 2 to get -3

Now we know m = -3 let’s put that in the equation

3(-3) - 4k = -5

-9 - 4k = -5

Just try the option you have to figure it out. You know it’s not -3.5 or 3.5 because it’s a whole number so it wouldn’t be anything that’s a decimal.

-9 - 4(1) = ?

-9 - 4 = 13

Now let’s try doing -1

-9 - 4(-1) = ?

-9 - -4 = -5

!!!!HELP!!!! WILL MARK BRAINLYEST
The table contains the points of an absolute value function. Compare it to the function f(x)=−2|x−7|−4 .

x g(x)
1 −2
2 −1
3 −2
4 −3
Which function has the largest maximum and what is the value of the largest maximum?

A. The function g(x) has the largest maximum which is −1 .

B. The function g(x) has the largest maximum which is −4 .

C. The function f(x) has the largest maximum which is −4 .

D. The function f(x) has the largest maximum which is −1 .

Answers

Sister I have no idea sister sister

Write the equation of a line that is perpendicular to y = 1/2x - 7 with a y-intercept of 15.
What is the perpendicular slope?
What is the new equation?

Answers

Answer:

m = -2

y = -2x + 15

Step-by-step explanation:

so it's asking for the perpendicular slope so perpendicular means negative reciprocal so the negative reciprocal of 1/2 is -2

and since the question has already provided the y intercept, just write out the new equation in slope intercept form so y = -2x + 15. hope this helps

3. Write a paragraph using complete sentences to give an example of a real life
situation where it is important that the coding functions be one-to-one. In
the example give consequences if it is not one-to-one.

Answers

Answer:

Step-by-step explanation:

I hope you had a good day

if f(9) = -14, then what will be the value of f^-1(-14)

Answers

Answer:

Step-by-step explanation:

Since f and f⁻¹ are inverse functions, the domain of the one equals to the range of the other:

f(9) = -14 ⇒ f⁻¹(-14) = 9

10+10 what is the answer

Answers

Answer:

10+10= 20

Step-by-step explanation:

Answer:

20 :)

Step-by-step explanation:

PLEASE HELP !! :c
NO LINKS!!!

Find the perimeter of the figure below. Find the area of each of the three shapes that make up the composite figure. Find the total area of the composite figure below. Be sure to include the proper units.

Answers

Step-by-step explanation:

the perimeter =

4+4+6+4.5+2+4+4+2 =

30.5 cm

the area of:

• the bigger rectangle = 6×4 = 24 cm²

• the smaller triangle = 4×2 = 8cm²

• the triangle = ½×2×4 = 4cm²

the total area = 24+8+4 = 36cm²

A grocery store sells a case of 24-500ml bottles of water for $2.99. They also Sell a case of 6-1.5 L bottles for $2.99. Which bottles are the best by? How much are you saving per liter?

Answers

Answer:

24 - 500ml bottles; $.08 per L

Step-by-step explanation:

1 liter = 1,000 ml

so 500ml = .5 L

Now compare the amount of water: 24 at .5L = 12L

6 at 1.5L = 9L

So the 12L /24 = .5 L per bottle cost about $.25

1.5L/ 6 = .25 L per bottle cost about $.33

stan loona SLAY BOMB yass bomb stan loona

Answers

STAN LOONA

STAN LOONA STAN LOONA

STAN LOONA

please help this is trigonometry

Answers

I think you take the total degree of the triangle subtract the degrees you have already from the total degree and that should give you your answer

10.962 rounded to the nearest tenth

Answers

Answer:

11.0

Step-by-step explanation:

10.962 rounded to the nearest tenth:

10.962 ≈ 11.0 ⇒ round up 9 to 10 since the previous number is greater than 5, it adds 1 to 10 and makes it 11, and 9 is replaced with zero

Round up 1 by 1

[tex]\\ \sf\longmapsto 10.962[/tex]

2<5

[tex]\\ \sf\longmapsto 10.96[/tex]

6>5

[tex]\\ \sf\longmapsto 10.0+1[/tex]

[tex]\\ \sf\longmapsto 11.0[/tex]

what is y=5x
y=-x-6 using substition?

Answers

Answer:

Step-by-step explanation:

Given that x = 2.2 correct to 1 decimal place, find the interval that

contains the value of 4x + 3. Give your answer as an inequality.

Answers

Answer:

11.8

Step-by-step explanation:

The solution is 11.0 < 4x + 3 < 12.0

The inequality equation is 11.0 < 4x + 3 < 12.0 , where the value of the equation 4x + 3 = 11.8 , when x = 2.2

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the equation is P = 4x + 3

The value of x = 2.2

Correcting the value of x to one decimal place , we get x = 2.2

Substitute the value of x in the equation , we get

P = 4x + 3

when x = 2.2

P = 4 ( 2.2 ) + 3

P = 8.8 + 3

P = 11.8

Now , the inequality equation is 11.0 < 11.8 < 12.0

Hence , the inequality equation is 11.0 < 4x + 3 < 12.0 , where 4x + 3 = 11.8

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ2

(−4 + 5) − (6 + 7) = x x 0

Answers

Add the numbers

(

−

)

−

(

)

({\color{#c92786}{-4}}+{\color{#c92786}{5}})-(6+7)=xx^{0}

(−4+5)−(6+7)=xx0

(

)

−

(

)

({\color{#c92786}{1}})-(6+7)=xx^{0}

(1)−(6+7)=xx0

Add the numbers

−

(

)

1-({\color{#c92786}{6}}+{\color{#c92786}{7}})=xx^{0}

1−(6+7)=xx0

−

(

)

1-({\color{#c92786}{13}})=xx^{0}

1−(13)=xx0

Multiply the numbers

−

⋅

1{\color{#c92786}{-1}} \cdot {\color{#c92786}{13}}=xx^{0}

1−1⋅13=xx0

−

1{\color{#c92786}{-13}}=xx^{0}

1−13=xx0

Subtract the numbers

−

{\color{#c92786}{1-13}}=xx^{0}

1−13=xx0

−

{\color{#c92786}{-12}}=xx^{0}

−12=xx0

Combine exponents

−

-12={\color{#c92786}{xx^{0}}}

−12=xx0

−

-12={\color{#c92786}{x^{1}}}

−12=x1

Show less

Solution

−

Mark has a container in the shape of a cube. He uses 64 cubes with sides lengths of 1 inch to completely fill the container.
What is the edge length of the container?

Hint: The volume of the container is 64 cubic inches.

Include in Your Answer:
The formula to find the volume of a cube.
The calculations showing how to find the length of one side (edge) of the cube.
Your final answer written as ___ inches.

Answers

Answer:

4 inches

Step-by-step explanation:

Volume of container

64(1in³)64in³

Now

edge³=64

edge=4in

The formula for volume=side³

final answer 4in

Calculation is bit before

expand the following numbers 349056

Answers

Answer:

easyy

Step-by-step explanation:

It's B

lin drew a triangle and a dilation of a triangle with scale factor 1/2. what is the center of the dilation?

Answers

Answer:

Depends on what the original triangle was, do the triangle divided by 1/2 which would equal what the cent of the dilation is.

Step-by-step explanation:

ex: y axis over the x axis/ (2,4) (5,8)

4 - 8 over 2 - 5 = which would equal 4/3

Square will be centered at the origin on the coordinate plane. A rigid transformation of preimage is performed to image ′′′′. Determine which of the following characteristics or corresponding parts will not remain the same.

A. The measure of ∠′ after a reflection across the line y = x

B. The coordinates of A' after rotations of 360°

C. The coordinates of B' after a translation of 3 units left and 2 units up

D. The perimeter of square A'B'C'D'

Answers

Answer:c

Step-by-step explanation:

Transformation involves changing the position of a shape in a coordinate plane.

The corresponding parts that will not remain the same is (c) the coordinates of B' after a translation of 3 units left and 2 units up

Reflection is a rigid transformation;

This means that, options (a) and (d) will remain unchanged for the image and the pre-image of square ABCD

Rotating a shape 360 degrees will return the shape to its original position.

This means that: (b) will remain unchanged

The coordinates of B' after translation will not remain the same, because the points will move to (x + 3, y + 2).

Hence, option (c) is true

Answers

Answer:

Step-by-step explanation:

of what means a division or a distribution

so this could mean percentage, a unit or just a number

to find a distributor we multiply and this should be the given equals number -6

Therefore we can find answer with applying multiply sign to get

-2 x - 6 = 12

As -12 / -2 means -2 of 12 = -6

can somebody do my homework

Answers

Answer:

SO WHERE? :l

Step-by-step explanation:

4.what equation passes through the 2 points
(2, 1) and (6, 9)

Answers

Answer:

y = 2x - 3

Step-by-step explanation:

Finding the slope:

[tex]\frac{y2-y1}{x2-x1}[/tex]

= (9-1)/(6-2)

= 8/4

= 2

Slope: 2

Substituting this value into the equation 'y=mx+c':

y = 2x + c

Substituting any points (in this case, (2,1)) into the above equation:

1 = 2(2) + c

1 = 4 + c

c = 1 - 4

c = -3

Hence,

y = 2x - 3

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

y=2x-3

Step-by-step explanation:

first put in the equation:

[tex]\frac{9-1}{6-2}[/tex] and you get 8/4 which equals 2. so this is your slop.

now put in this equation:

[tex]y-y_{1}=m(x-x_{1})[/tex]

so you put in (2-1)

[tex]y-1=2(x-2)[/tex]

and you get

y-1=2x-4

and if u add 1 to both sides you get y=2x-3

Solve the system by graphing.
1-3x - y = -10
[4x – 4y = 8

Answers

change the first to

3x + y = 10

and the second to

x - y = 2

Stephanie's phone bill is $70 each month. Her
phone costs her an additional $25.99 per
month. If her phone bill in September was $119,
how much was she charged for taxes and fees?

Answers

$23.01 is the answer … enjoy

Someone help me with this please

Answers

Answer: oof ur on ur own sheesh

Step-by-step explanation: just look it up! u got this

please help!! i am super confused

Answers

Answer:

The train appears to go the same distance each minute

9mins

The cost for each person appears to be the same

Step-by-step explanation:

So for the first qu you basically want to find the distance the train travels each minute, so for

3mins : 9km

therefore

1min : 3km

basically divide 9 by 3

then the train travels 27km, how long does it take?

if 3km = 1min

then 27/3 = 9

so it takes the train 9 minutes

Then for the second qu you'll do the same thing

2ppl : $16

so one person : 16/2

so 1 person costs $8

so for 8 ppl you multiply 8 by 10

8ppl : $80

hope this helps:))))

What is your preferred method to construct parallel lines? Explain why your method works by describing what construction properties guarantees that they are parallel. You may upload any diagrams to support your thinking.

Answers

Answer:

Step-by-step explanation:

hug js at Udinehebdg sorry this is for points , lol I wish I knew but sorry I dontbut good luck !

you said Gabriel might have written $$.

What expression do you think Kayla might have written?

Answers

Answer:

The expression i think Gabriel might have written is

3x + 6

Step-by-step explanation:

i may not be right

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Given the function g(x) = x2 + 5x + 1, determine the average rate of change of the function over the interval -5 < x < 4.

Answers

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Given the function g(x) = x2 + 5x + 1, determine the average rate of change of
the function over the interval -5 < x < 4.