What is the vertex of the graph f(z)= 2z² +82 +37

Answers

Answer 1
Answer:

The vertex of the function is located at coordinates (119, 0).

Step-by-step explanation:

1. Write the function and simplify it.

\(f(z)= 2z^{2}+82+37\\ \\f(z)= 2z^{2}+119\)

2. Find the derivative with respect to z.

Check the attached image.

\(\frac{d}{dz} (2z^{2}+119)\\ \\f'(z)=2*2z^{2-1}\\ \\f'(z)=4z\)

3. Find the roots of the resulting function.

\(f'(z)=4z\\ \\4z=0\\ \\z=0\)

4. Evaluate the calculated value in the original function.

\(f(0)= 2(0)^{2}+119\\ \\f(0)=119\)

5. Conclude.

The vertex of the function is located at coordinates (0, 119).

What Is The Vertex Of The Graph F(z)= 2z +82 +37

Related Questions

Delilah does 184 jumping jacks in 4 minutes. She does her jumping jacks at a constant rate.
How many jumping jacks can Delilah do per minute?​

Answers

Answer:

46 jumping jacks per minute

Step-by-step explanation:

184/4= 46

Answer:

she did 46 jumping jacks per minute

Step-by-step explanation:

complete each function table. Then state the Domain and range of the function. ​

complete each function table. Then state the Domain and range of the function.

Answers

Answer:

Last option (c) on the list of answers

Step-by-step explanation:

f(x) = { -10, -9, -2, 3}

Domain = {-3, -2, 5, 10}

Range = {-10, -9, -2, 3}

a) What is the area of the top face of this
cuboid?
b) What is the area of the bottom face of
this cuboid?
4 cm
9 cm
7 cm

Answers

The area of the top face would be 4cm and the area of the bottom face would be 9cm

The area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).

To find the area of each face of the cuboid, we'll use the formulas for finding the area of a rectangle (which is the shape of each face of the cuboid).

Given dimensions:

Length (L) = 9 cm

Width (W) = 7 cm

Height (H) = 4 cm

a) Area of the top face of the cuboid:

The top face is a rectangle with dimensions 9 cm (length) and 7 cm (width).

Area = Length × Width

Area = 9 cm × 7 cm

Area = 63 square centimeters (cm²)

b) Area of the bottom face of the cuboid:

The bottom face is also a rectangle with dimensions 9 cm (length) and 7 cm (width).

Area = Length × Width

Area = 9 cm × 7 cm

Area = 63 square centimeters (cm²)

Therefore, the area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).

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Yes or no
Just pick one

Answers

Answer:

Yes

Step-by-step explanation:

WHAT IS THE AVERAGE OF -2.5, 5.2, 1.7, -0.8?

Answers

The average is 0.9

-2.5 + 5.2 + 1.7 + (-0.8) = 3.6

3.6 / 4 = 0.9

Answer:

0.9

Step-by-step explanation:

-2.5 + 5.2 + 1.7 + -0.8 = 3.6

3.6 / 4 = 0.9

PLEASE HELP An algebraic ___ is a mathematical phrase
With numbers, variables, operations for days.


is it coefficient , expression or evaluate​

Answers

Answer: I think its, Algebraic expression​

Step-by-step explanation:

A mathematical phrase involving at least one variable and sometimes numbers and operation symbols.

Answer:

The answer to this question is algebraic expression.

Step-by-step explanation:

Got it right on edge 2020!!!

Hope this helps!!!

what is a Pythagoras theorem

Answers

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

What is mathematical representation of Pythagoras theorem?

From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;

C² = a²+b²

Where:

'C' represents the hypotenuse which is the longest part of the triangle and is always diagonal connecting the two other points.

'a' represents the perpendicular length that forms the angle 90° of the right angle triangle.'b' represents the base of the triangle.

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how to write MMCCCXLI in Hindu-Arabic Numerals

Answers

Answer:

2341.

Step-by-step explanation:

Answer:

2338

There you go

Hope this helps

what are two ratios that are equivalent to 12:13?​

Answers

Answer:

24:26 and 36:39 are two ratios that are equivalent to 12:13.

Step-by-step explanation:

Darnell and Ebony each use 12 cups of pineapple juice to make fruit punch. Who will make more punch? How much more?

Answers

Answer: I'm sorry this question cannot be answered because of the lack of information, please resubmit your question with a picture of the page.

Step-by-step explanation:

Ms C's car uses 20 gallons of gas to travel 400 miles. If she currently has 3 gallons of gas in her car, how much gas is needed to travel 250 miles? Round your answer to the nearest tenth.

Answers

Using the concept of proportion, amount of gas needed to travel 250 miles is 9.5 gallons.

Given that,

Ms C's car uses 20 gallons of gas to travel 400 miles.

We have to first find the number of gallons of gas to be used to travel 250 miles.

Amount of gas used to travel 400 miles = 20 gallons

Using the concept of proportion,

Amount of gas used to travel 1 mile = 20 / 400

                                                           = 0.05 gallon

Amount of gas used to travel 250 miles = 0.05 × 250

                                                                  = 12.5 gallons

There is already 3 gallons of gas in her car.

Amount of gas needed = 12.5 - 3 = 9.5 gallons

Hence the amount of gas needed is 9.5 gallons.

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Q1 ? Help Robert is 7 ½ years old. How many months old is he? ​

Answers

Answer:

Step-by-step explanation:

If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.  

7x12=84  

1/2x12=6

6+84=90

1. Which set of ordered pairs DOES NOT represent a function?
a. (0, 1), (2,3), (3,4), (5,6)
b. (1, 1), (2, 2), (3,3), (4,4)
c. (1,4), (1, 5), (1,6), (1,8)
d. (0,7), (2, 4), (4,7), (5,7)

Answers

Answer:

C.

Step-by-step explanation:

because x value cannot be repeated in an ordered pair

7x-7=2x-1 what is x please help

Answers

Answer:

x= 1.2

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

Step 2: Add 7 to both sides.

Step 3: Divide both sides by 5.

Hope this helped :)

Answer:

7x+=2x-1

7x+2x=7+1

9x=8

x=9-8

x=1

I think of two numbers.
When I add the numbers, the answer is 8.
When I subtract the numbers, the answer
Is less than 6.
What can the numbers be?
The two numbers can be _ and _ .

Answers

Answer:

There are a variety of possible answers, including the following:

4 and 4     (4 + 4 = 8........4 - 4 = 0.......... 6 > 0)

6 and 2     (6 + 2 = 8........6 - 2 = 4.......... 6 > 4)

5 and 3     (5 + 3 = 8.........5 - 3 = 2.......... 6 > 2)

And for the subtraction, each can be reversed (2 - 6 ...... 3 -5 ...... etc.)

Answer:

2 and 3 is the answer we know it right

If to DEF?
A 23
B. 16°
C. 32°
D. 58°

Answers

The calculated measure of the angle D is (c) 32 degrees

How to determine the measure of the angle

From the question, we have the following parameters that can be used in our computation:

The triangles ABC and DEF

The triangles are similar triangles

This means that the corresponding angles are equal

Given that

A = 32 degrees

And the corresponding angle is D

We have

D = 32 degrees

Hence, the measure of the angle is (c) 32 degrees

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If to DEF?A 23B. 16C. 32D. 58

Joyce works at Fortunato's Furniture. She is paid on commission. She receives 10% of her first $1,200 in sales and 15% of the balance of her sales. Last week she earned $950. What was the value of the furniture she sold? show your work.

Answers

The total value of the furniture sold by Joyce last week is A = $ 6,733.33

Given data ,

Let's call the value of the furniture Joyce sold "x".

She receives 10% commission on the first $1,200 of sales, which is $120:

Commission on first $1,200 = 0.1 * 1200 = 120

The remaining sales that she earns commission on is the difference between the total value of the furniture sold and the first $1,200:

Remaining sales = x - 1200

She earns 15% commission on the remaining sales, which is 0.15 times the remaining sales:

Commission on remaining sales = 0.15 * (x - 1200)

Her total earnings from commission last week was $950. So we can write an equation:

Commission on first $1,200 + Commission on remaining sales = $950

Substituting the expressions we found for the two commissions, we get:

120 + 0.15(x - 1200) = 950

120 + 0.15x - 180 = 950

On simplifying the equation , we get

0.15x - 60 = 950

0.15x = 1010

x = 6,733.33

Hence , the value of the furniture Joyce sold last week was $6,733.33

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If a Meat-E-Um pizza is cut into 6 pieces, about how much should one slice cost? (Round if needed)

Answers

Using division operation, if a Meat-E-Um pizza is cut into 6 pieces and the total cost is $36.60, the cost per slice is $6.10.

What is division operation?

Division operation is one of the four basic mathematical operations. Other mathematical operations are addition, subtraction, and multiplication.

Division operation involves the following parts: dividend, divisor, and quotient.

The total cost of the Meat-E-Um pizza = $36.60

The number of pieces the pizza is cut = 6

The unit cost of each slice = $6.10 ($36.60 ÷ 6)

Thus, a slice of a Meat-E-Um pizza cut into 6 pieces will cost $6.10 per slice.

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Question Completion:

The total cost of a Meat-E-Um pizza is $36.60.

Can someone please correct my answers

Can someone please correct my answers

Answers

Answers

A is false, similar triangle sides are not the same, but they have the same ratio of dilation. Similar figures are not congruent.

B is false, a rigid transformation does not change the shape or size of the preimage. The non-rigid transformation will change the size but not the shape of the preimage.

C is false, similar means that the figures have the same shape, but not the same size.
Similar figures are not congruent.

D is true, if you dilate a line segment, the original line segment will always be parallel to (or on the same line as) the image. Dilation does not change any other characteristics of a shape, so Parallel lines are still parallel.

(10 POINTS) answer ASAP if you can

(10 POINTS) answer ASAP if you can

Answers

Answer: As soon as possible

Step-by-step Explanation: You just say ASAP for As soon as possible

is this graph a minimum or a maximum pls help

is this graph a minimum or a maximum pls help

Answers

The vertex of the graph is a maximum at (-2, 4)

Calculating if the vertex of the graph a maximum or a minimum?

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a quadratic function

From the graph, we can see that the graph has a maximum value

This maximum value represents the vertex of the graph

And it is located at (-2, 4)

So, we have

Maximum = (-2, 4)

Hence, the maximum value of the function is (-2, 4)

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Select all of the factors of X cubed + 5 x squared plus 2x - 8

Answers

Answer: 8

x³+5x²+2x-8

Step-by-step explanation:

solve for brainliest

solve for brainliest

Answers

Answer:

\(y=\dfrac{5}{4}x\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}\)

Given points:

Let (x₁, y₁) = (8, 10)Let (x₂, y₂) = (28, 35)

Substitute the points into the formula to find the slope:

\(\implies m=\dfrac{35-10}{28-8}=\dfrac{25}{20}=\dfrac{5}{4}\)

As the points form a proportional relationship, the equation of the line containing the given points is:

\(\implies y=\dfrac{5}{4}x\)

To graph the line:

Plot a point at the origin (0, 0).Translate the point 5 units up and 4 units right.Draw a line through the points.

(See attachment).

solve for brainliest

Question below


Answer choices

A) Zhen spends 6 1/2 hours working for every hour of the completed audiobook.
B) Zhen completes 6 1/2 audiobooks in an hour
C) Zhen spends 6 1/2 hours working per audiobook



DISCLAIMER I AM IN MIDDLE SCHOOL NOT COLLEGE

Question belowAnswer choices A) Zhen spends 6 1/2 hours working for every hour of the completed audiobook.B)

Answers

for every completed length of audiobook, Zhen spends 6.5 hours working.

C.Zhen spends 6 1/2 hours working per audiobook

Helppp please on this question

Helppp please on this question

Answers

Answer:

Answer h = 34 i hope it is helpful have a nice day

Answer:

h = 34

Step-by-step explanation:

64 = h + 30

64-30 = h

34 = h

h = 34

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PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS

Answers

Answer:

x = 42°

Step-by-step explanation:

We have from figure

x + 48° = 90°

x = 90° - 48°

= 42°

HOPE THIS HELPS AND HAVE A NICE DAY <3

Wyatt was out at a restaurant for dinner when the bill came. He wanted to leave a tip of 19%. What number should he multiply the cost of the meal by to find the total plus tip in one step?

Answers

Answer:

The cost of the meal should be multiplied by 1.19.

---------------------------------------

Let the cost of the meal be x.

Adding a tip of 19%:

x + 19% = x + 0.19x = x (1 + 0.19) = 1.19x

Answer:

Wyatt should multiply with 1.19.

Step-by-step explanation:

Forming the expression,

→ 1 + (19% of 1)

Now the required number is,

→ 1 + (19% of 1)

→ 1 + ((19/100) × 1)

→ 1 + (19/100)

→ 1 + 0.19 = 1.19

Hence, required number is 1.19.

283838383838382828 + 838383838

Answers

Answer:2.8383838e+17

Step-by-step explanation:

Answer:

2.8383838e+17

Step-by-step explanation:

283838383838382828 + 838383838=2.8383838e+17

The base of a triangle is 1 cm more than the height. If the area is 10 cm², find the base and the height.
Part 1 of 2
What is the base of the triangle?

What is the height of the triangle?

Answers

Answer:

Base of triangle = 5 cmHeight of triangle = 4 cm.

Step-by-step explanation:

It's given that, The base of a triangle is 1 cm more than the height

Let's assume height of the triangle be x and base of the triangle be 1 + x

Also the area of the triangle is 10 cm².

We know that area of triangle is calculated by,

Area = 1/2 × Base × height

Putting the values we get ,

\( \frac{1}{2} (1 + x) x = 10 \\ \\ (1 + x)x = 10 \times 2 \\ \\ {x}^{2} + x = 20 \\ \\ {x}^{2} + x - 20 = 0\)

Further solving by factorisation,

\(x^2 + x-20 = 0 \\ \\ x^2 +5x-4x - 20 = 0 \\ \\ x(x+5)-4(x+5)= 0 \\ \\ (x-4) (x+5) = 0 \\ \\ (x-4) = 0 \: or \: (x+5)=0 \\ \\ { \underline{x= 4 \: or \: x = 5 }}\)

Since value can't be negative.

So, x = 4.

Hence, height of triangle x = 4 cm

base of triangle = x + 1

= 4 + 1

= 5 cm

Therefore the Base of traingle will be 5 cm and Height of the triangle will be 4 cm.

(1, 4) is a solution to the system that includes y=3x + 1 and y = -x + 5.

Answers

Answer:

yes

Step-by-step explanation:

y=3x + 1

y = -x+5

Check if (1,4) solves the first equation

4 = 3(1)+1

4 = 3+1

4=4

This is true

Check the second equation

4 = -1+5

4=4

This is true

(1,4) is a solution to the system of equations

Answer: True, the point (1, 4) is a solution to that system of equations

Step-by-step explanation:

(1, 4) is a solution to the system that includes y=3x + 1 and y = -x + 5.
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