Evaluate the function E(z)=(z+1)^2 for the following values of z.

a. E(a)

b. E(a + h), h not equal to 0

Use a & b to evaluate the following, for h not equal to 0
c. E(a + h) - E(a) / h =

Answers

Answer 1

Answer:

a. E(a) = (a+1)²

b. E(a + h) = (a+h+1)²

c. E(a + h) - E(a) / h = (a+h+1)²- (a+1)²/h

Step-by-step explanation:

E(z)=(z+1)²

E(a) = (a+1)²

E(a + h) = (a+h+1)²

E(a + h) - E(a) / h = (a+h+1)²- (a+1)²/h


Related Questions

The spring concert at a certain high school sold 149 tickets. Students were charged $2 each and adults $6 each. The income from the sale of tickets was $626. How many students and how many adults bought tickets?

Answers

The final statement is: 67 student tickets and 82 adult tickets were sold.

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here: Total tickets =149 student ticket=$2 and adult ticket=$6

Tickets sold worth=$626

Let x tickets be bought by students and therefore 149-x be brought by adults then we have

2x+6(149-x)=626

-4x+894 = 626

         x=268/4

         x=67

∴ x=67 & 149-67=82

Hence,  67 student tickets and 82 adult tickets were sold.

Learn more about linear equations here:

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The feet of a poem can easily be compared to _______.

a heartbeat
footsteps
a musical beat
a drum beat

Answers

A footsteps I believe

Answer:

its a heartbeat.

Step-by-step explanation:

sorry for late answer, just answering for any future people.

Jacob decided to start saving for college. After 3 months, he had saved $174. His friend Victoria was inspired to do the same. After 6 months, she had saved $360. If they are both saving money at a constant rate, how many more dollars per month does Victoria save than Jacob?

Answers

Answer:

$2 more.

Step-by-step explanation:

In this question, we have to find how much more money Victoria is saving.

We know that Jacob saved $174 in 3 months.

We also know that Victoria saved $360 in 6 months.

Lets find how much money they save per month:

Jacob:

174 ÷ 3 = 58

Victoria:

360 ÷ 6 = 60

Jacob is saving $58 per month and Victoria is saving $60 per month.

This means that Victoria is saving $2 more than Jacob per month.

Answer:

2

Step-by-step explanation:

multiply by 2 and then divide by 6

Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.

Answers

Angle B is the linear pairs with 60°, so the size is 180-60=120°

Angle ABC is the linear pair with 120°, so the size is 180-120-60°

Angle A corresponds to angle 60°, so they are equal

Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°

Angle ACB is 180-(50+60) = 70°

Answer: ABC is 60

BAC is 50

ACB is 70

Step-by-step explanation: welcome

Giving brainlest if you solve 5-8

Answers

Answer:
5: 1, 2, 4, 11, 22, 44
6: 1, 5, 25, 125
7: 1, 5, 17, 85
8: 1, 3, 13, 39

The admission tickets to an exhibition at $5 for an adult and $2 for a child. A family of 3 adults and 4 children visited the exhibition. What would be the charge if $50 note was used to buy the tickets?

Answers

Given :

The admission tickets to an exhibition at $5 for an adult and $2 for a child.

A family of 3 adults and 4 children visited the exhibition.

To Find :

What would be the charge if $50 note was used to buy the tickets.

Solution :

Charge of 3 adult ticket is, A = $( 5 × 3 ) = $15 .

Charge of 4 children ticket is, C = $( 4 × 2 ) = $8 .

Total amount to pay is :

T = $( 15 + 8 )

T = $23

Therefore, they get $( 50 - 23 ) = $27 change.

On a college test, students receive 4 points for every question answered correctly and lose 7 points for every question answered incorrectly. On a particular test, Terry answered 87 questions correctly and 46 questions incorrectly. What was his score on the test? Show your work.

Answers

Answer:

26

Step-by-step explanation:

correct answers:87

so do 87x4=348

46*7=322

do this because he got some incorrect

348-322=26

so her score is 26

The two triangles shown are congruent: AFHG=AJKL. Based on this information,
which of the following is a true statement?
A) HELL
B) JK= FG
OC) GEL
D

Answers

Answer is c in the photo
the correct answer would be C. also you’re welcome

PLEASEE HELP IM BEGGING YOU

Answers

Answer:

1 7/12

Step-by-step explanation:

Its 1 7

/12

Answer:

1 7/12

Step-by-step explanation:

Hope this helps!

Brainiest?

what is the volume of the figure?

Answers

Answer:

944 cubic feet

Step-by-step explanation:

You need to take the area of the figure separately.

[tex]8*10*5=400[/tex]

[tex]17*8*4=544[/tex]

400 + 544 =944

Will give brainliest answer

Answers

Answer:

i know the answer

Step-by-step explanation:

the answer is 15


hope this is helpful

Juan drove 715 miles in 13 hours.
At the same rate, how many miles would he drive in 5 hours

Answers

Answer:

275 miles

Step-by-step explanation:

First find the miles per hour. Then multiply it by 5. The miles per hour is 55.

55×5=275

Make sure to mark my answer as brainliest, especially if this helped you the most.

Round 3.456 to the nearest hundredth.
3
3.45
3.46
3.5

Answers

3.5
after the decimal it goes tenth, hundredth, thousandth

Courtney walks 1 mph slower than Brandi does. In the time that it takes Brandi to walk 6.5 mi, Courtney walks 5 mi. Find the speed of each person

Answers

Answer:

Courtney's walking speed = 3.33mph

Brandi's walking speed = 4.33 mph

Step-by-step explanation:

Let x = Courtney's walking speed

then

(x + 1) = Brandi's walking speed

:

Time = Distance/speed

Brandi walks 6.5 mi time = Courtney walks 5 mi time

6.5/x + 1 = 5/x

Cross multiply

6.5x= 5(x+1)

6.5x= 5x + 5

6.5x - 5x = 5

1.5x = 5

x = 5/1.5

x = 3.33 mph is Courtney's walking speed

Note that:

(x + 1) = Brandi's walking speed

3.33mph + 1 = 4.33mph

Therefore,

Courtney's walking speed = 3.33mph

Brandi's walking speed = 4.33 mph

The Courtney's walking speed = 3.33 mph. Brandi's walking speed = 4.33 mph.

We have given that,

[tex]6.5x - 5x = 5[/tex]

Courtney's walking speed = 3.33 mph

Brandi's walking speed = 4.33 mph

Let x = Courtney's walking speed

then (x + 1) = Brandi's walking speed

What is the formula time?

Time = Distance/speed

Brandi walks 6.5 mi time = Courtney walks 5 mi time.

[tex]6.5/x + 1 = 5/x[/tex]

Cross multiply

[tex]6.5x= 5(x+1)[/tex]

Simplify parenthesis right side

[tex]6.5x= 5x + 5[/tex]

1.5x = 5

Isolate x.

x = 5/1.5

x = 3.33 mph is Courtney's walking speed

(x + 1) = Brandi's walking speed

3.33 mph + 1 = 4.33 mph

Therefore,Courtney's walking speed = 3.33 mph

Brandi's walking speed = 4.33 mph

To learn more about the speed visit:

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The equation m=40g gives the distance in miles, m, that a car can travel using g gallons of gas

a. If the car has gone 140 miles, how much gas was used

B. Write an equation the represents the inverse function

Answers

Answer:

3.5 gallons

Step-by-step explanation:

140=40g

140/40=g

a) The car used 3.5 gallons of gas

b) The inverse function is g=m/40

What is an inverse function?

In mathematics, an inverse is a function that serves to “undo” another function. That is, if f(x) produces y, then putting y into the inverse of f(x) produces the output. A function that has an inverse is called invertible and the inverse is denoted by f⁻¹

Given here, distance = 140 and  equation m=40g  then using the equation we get

140 = 40 ×g

g= 3.5 gallons

and the inverse function is given by g = m/40

Hence the car uses 3.5 gallons and we found the inverse function is g=40/m

Learn more about the inverse function here:

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help me plzz i will pay you back what ever

Answers

Answer:

i beleive its A

Step-by-step explanation:

i say its A due to the phrase "no more" is accurate to showing that the 200 is truly "More than or equal too"

14. Quadrilateral ABCD is located at A(2,0), B(3,-4), and C(7,-5). What are the
coordinate of point D that makes the quadrilateral a rhombus?
PLEASE HELPPP

Answers

Answer:

A

Step-by-step explanation:

A rhombus is a quadrilateral whose four sides all have the same length. if you look at the picture I sent, A(6,-1) forms a rhombus where all of the sides are an equal length.

Y’all keep on getting it wrong so do it right

Answers

Answer:

But it's your work so you shouldn't be the one complaining. You are depending on us.

Btw, the answer is deleted.

Answer:

the answer is lemme cop these 5 points real quick

Evaluate the following expression.
1 -4 x (-3) + 8 x (-3)

Answers

Your answer to this is -11

Answer:

1-4×(-3)+8×(-3)

1-(-12)+(-24)

-13+(-24)

-37 or,-11

r(x)=-4/5x+7
what is x?

Answers

Your Welcome x= gfdghjiijjbfr

PLEASE HELP Maya wants to make a pyramid out of plaster for social studies class. How much plaster does she need to make a rectangle prism of what the dimensions shown below?

Answers

Maya needs 176 cubic inches of plaster to make the rectangular pyramid

In order to determine the amount of plaster needed, we need to determine the volume of the rectangle pyramid.

Characteristics of a  rectangle pyramid

It is a 3-dimensional shape. It is made up of a rectangular base and 4 triangular faces. The 4 triangular faces are joined at a vertex.

Volume of a pyramid = 1/3 x ( length x base x height)

[tex]\frac{1}{3}[/tex] x ( 11 x 8 x 6) = 176 in³

To learn more about rectangle pyramid, please check : https://brainly.com/question/15246882?referrer=searchResults

Which description is paired with its correct expression? seven less than the quotient of two and a number squared, increased by six; 7 minus StartFraction 2 Over n squared EndFraction + 6 nine times the difference of a number cubed and three; 9 (n cubed minus 3) eight more than the quotient of a number squared and four, decreased by seven; 8 + StartFraction 4 Over n squared EndFraction minus 7 twice the difference of a number cubed and eight; 2 n cubed minus 8 Mark this and return

Answers

Answer:

its a

Step-by-step explanation:

you can tell by the ways the set up the problem

Answer:

a on edge

Step-by-step explanation:

Need help with this one.

Answers

Yo honestly I don’t know but I wish you the best keep going bruv

Answer:

7.82

Step-by-step explanation:

What is the GCF of 35 and 47

Answers

Answer:

The GCF of 35 and 47 is 1

Which fractions is greater than 1/2?
2/3
3/4
2/6
1/3
3/8
5/8
1/4
5/6

Answers

Answer: 2/3, 3/4, 5/8, 5/6

Step-by-step explanation:

First,

We must turn all of them into denominators that can be divided by 1/2.

2/3 = 4/6. 3    1/3 = 2/6  

Now we see which is greater.  

2/3 > 1/2.  

3/4 > 1/2.

2/6 < 1/2.

1/3 < 1/2.

3/8 < 1/2.

5/8 > 1/2.

1/4 < 1/2.

5/6 > 1/2.

So the answers are 2/3, 3/4, 5/8, 5/6.

Find two points for each labeled line in the graph below. Then use those two sets of coordinate points to help you find the slope and use whichever method for finding equations that you prefer to find the equation of each line listed. You only need to write the equation of each line for your answer. Remember, you must first put the equations in slope-intercept form. Label your answers m and b to represent the slope and y-intercept.

A:
B:
C:
D:

Answers

Answer:

???

Step-by-step explanation:

wheres y

Answer:

the equation to find slope is (y2-y1)/(x2-x1)

A: (-4,1) (0,3) (for all of these except for the last one, i included the y-intercept as one of the points)

3-1/0-(-4)

2/4

m=1/2

y= 1/2x +3

B: (0,-1) (3,1)

3-0/1-(-1)

m=3/2

y=  3/2x -1

C: (0,-3) ( 6,-1)

-1 -(-3) / 6-0

2/6

m= 1/3

y = 1/3x -3

D: (3,-3) (6,0)

0 -(-3) / 6-3

3/3

1

m= 1

y -y1 = m (x - x1)  (this is point-slope form, plugging in the slope and a point on the line, and then solving it will give you slope-intercept form)

y - 0 = 1(x -6)

y = 1x -6

Step-by-step explanation:

I hope this helped :)

what is 3/12 divided by 7

Answers

3/12 is 0.25.
0.25/7 is 0.035714

Step-by-step explanation:

the answer is 3/84 hope this helps but btw the answer isn't simplified so if u want simplified ask

a. tan2 -sin= sin2 tane

Answers

Step-by-step explanation:

tan²θ - sin²θ

= sin²θ/cos²θ - sin²θ

= sin²θ * (1/cos²θ - 1)

= sin²θ * (csc²θ - 1)

= sin²θ * tan²θ. (shown)

Help This is a Test after I submit it I WONT BE ABLE TO CHANGE MY ANSWERS PLEASE make sure your answers are correct

Answers

Answer:

No.of pens the store has to sell is 3480 pens

Step-by-step explanation:

Multiply the boxes and the no.of pens in each box!

it's simple!

newibfib

bewbhbhdcwebcwbch

Answers

Step-by-step explanation:

Peter Piper picked a pack of pickled peppers. If Peter Piper picked a pack of pickled peppers, How many packs of pickled peppers did Peter Piper pick?

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