What are the domain and range of g(x) = -1/4 (x-17)^2 + 61?


What Are The Domain And Range Of G(x) = -1/4 (x-17)^2 + 61?

Answers

Answer 1

Answer:

Step-by-step explanation:

It can not be bigger then 61

Answer 2

The domain and range of g(x) = -1/4 (x-17)^2 + 61 is g(x) ≤ 61 and the domain is that it is all real numbers.

Calculation of the domain and range:

Since the function is g(x) = -1/4 (x-17)^2 + 61

It defined that it is the polynomial and also the whole real number

So based on this, we can say that The domain and range of g(x) = -1/4 (x-17)^2 + 61 is g(x) ≤ 61 and the domain is that it is all real numbers.

hence, the first option is correct.

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Related Questions

a bowl contains 15 gra

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Answer: hi

Step-by-step explanation:

Answer:

And, so...

What about the 15 grams?

Help me please!! I can’t figure this out...

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Answer:

-2

Step-by-step explanation:

-2-4/3-0=-2

you basically take the y value of the first point subtract it from the y value of the 2nd point. you do the same for the x values

Answer:

-2

Step-by-step explanation:

You can use the equation rise over run, which is basically y2-y1 over x2-x1

Y2 is -2 and y4 is 4, x2 is 3  x1 is 0

-2-4 over 3-0=-6/3=-2

Which set of numbers does NOT describe the side
lengths of a right triangle?
a. 3, 4, 5
b. 5, 12, 13
c. 6, 14, 17
d. 7, 24, 25
4

Answers

Answer:

The answer is C

Step-by-step explanation:

You have to do the Pythagorean Theorem.

A. you get 25=25

B. you get 169=169

C. you get 232=289

D. you get 625=625

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation.
(5,7) y=2x+5

Answers

Answer:

y = 2(x-5) + 7

Step-by-step explanation:

Dierections:Factor out the GCF from the following.Make sure your answer is factored completely by taking out any common numbers and or variables

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Answer:

21

Step-by-step explanation:

your mom

Brenda wants to buy a phone case that costs $35. It is on sale for 20% off. What would be the sales price? What are we finding?

A) part
B) whole
C) percent

Answers

Answer:

A

Step-by-step explanation:

An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that the mean income is $24.6, and the standard deviation is known to be $7.9. How large of a sample would be required in order to estimate the mean per capita income at the 80% level of confidence with an error of at most $0.56? Round your answer up to the next integer.

Answers

Answer:

327

Step-by-step explanation:

Calculation for How large of a sample would be required in order to estimate the mean per capita income

First step is to find z 80% confidence level

At 80% confidence level the z will be:

α/2 = 1 - 80% = 1 - 0.80 = 0.20

α/2= 0.20 / 2 = 0.01

Zα/2= Z0.01= 1.28 from z table

Now let calculate the Sample size using this formula

Sample size = n= [( Zα/2* σ ) / E]^2

Let plug in the formula

n = (1.28*7.9/0.56)^2

n= 326.06

n=327 (Approximately)

Therefore How large of a sample would be required in order to estimate the mean per capita income will be 327

What is the transformation!
reflection, rotation, translation, none of them !

Answers

Answer:

translation

Step-by-step explanation:

Sliding: moving a shape without rotating or flipping it.

Determine the intercepts of the line.
y = 80 - 18

Answers

Answer:

Step-by-step explanation:

This equation is in slop-intercept form. This means that the y-int is in the equation, it will always be the constant, so y is -18.

To find x, set y to 0.

0 = 8x - 18

18 = 8x

18/8 = x

9/4 = x

PLEASE I NEED YOUR HELP! THANK YOUU!

Answers

Answer

Maximum point of (-2, 4)

Step-by-step explanation:

the maximum point in this case is the vertex because its the highest point of the graph

WILL GIVE BRAINLIEST
On a field trip, there are 8 adults and 24 students. What is the ratio of students to the total number of people on the field trip?

8 to 24
3 to 4
1 to 4
32 to 24

Answers

Answer:

3:4

Step-by-step explanation:

24 students : 32 people total

Divide both sides by 8

Answer: 3 to 4

this is correct, verified it myself B)

WILL GIVE BRAINLIEST EASY

drag and drop correct answers

Answers

Answer:

X- int: -3,0 and 1,0

Y- int: -3, 0

Domain: -inf to +inf

Range:+in to -4

Minimum Value : -4, 1

ponca city reports a temperature of 3° below zero marshall city reports a temperature of 5° below zero which city has the lower temperature ?

Answers

Answer:ok well it’s 5 because if it’s below zero it’s lower so it’s 5

Step-by-step explanation:

You sure you are in high school?

4 x 7/8 Pls I need help my mom is yelling at me

Answers

Answer:

3.5

Step-by-step explanation:

Answer:

7/2 or 3 1/2

Step-by-step explanation:

4 * 7/8 = 4/1 * 7/8 = 28/8 = 7/2 = 3 1/2

h(n) = -2n² + 4; Find h(4)
A.-28
B.68
C.28
D.-4​

Answers

Answer:

-28

Step-by-step explanation:

h(4)=-2(4)^2+4

-32+4=-28

PLEASE HELP ASAP
Factor 3x+6y-9z

Answers

I’m not sure what the answer is so better I don’t say I don’t want you to get it wrong

Yesterday, the temperature in a city dropped from 9°C to –9°C, as shown below.



The expression 9 + (–18) represents the final temperature. Which of the following is an equivalent way to describe this temperature?

|–18| degrees in a negative direction from 9 degrees

|–18| degrees in a positive direction from 9 degrees

|–9| degrees in a negative direction from 9 degrees

|–9| degrees in a positive direction from 9 degrees

Answers

Answer:

I belive the correct answer might be (A)

Need help with geometry question

Answers

Answer:

B. 66

Step-by-step explanation:

idk how to explain it without repeating what it says in the answer

Answer:

The answer is:

B) 66 degrees

Step-by-step explanation:

Since the triangle is an isosceles triangle, angle C is the same as angle B.

57 + 57 = 114

Since you know two of the three angles, and you know that a triangle's angles must equal 180 degrees...

180 - 114 = 66

Angle A must equal 66 degrees for the triangle to equal 180 degrees.

I hoped this helped you! If it did, please consider rating and pressing the 'Thanks' button. Have great day!

A rectangular garden has an area of 35 square miles. If its length is 78 miles, what is its width?
Input your answer as a fraction.

Answers

Answer:

9/20 mi

Step-by-step explanation:

A= b*hFill in the Values

35 = 78 * h

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9/20

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Percent:
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Answers

Answer:

Fraction: 16/25 Decimal: 6.25 Percent: 6%

Step-by-step explanation:

I am 99.99% sure this is right.. I hope it helps you.

The statements "16 out of 25" written in fractional, decimal, and percent form are 16/25, 0.64, and 64% respectively.

What is a fraction?

A fraction is a part of the whole represented by a/b, where a and b are any integers.

The Given statement is "16 out of 25".

The statement in mathematical form is:

16/25 (Fraction)

= 0.64 (Decimal)

= 64% (percent)

Hence, the statements "16 out of 25" written in fractional, decimal, and percent form are 16/25, 0.64, and 64% respectively.

Learn more on fractions here:

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#SPJ2

(03.06 MC) The first four terms of a sequence are shown below: 8, 5, 2, −1 Which of the following functions best defines this sequence? f(1) = 8, f(n + 1) = f(n) + 3; for n ≥ 1 f(1) = 8, f(n + 1) = f(n) − 5; for n ≥ 1 f(1) = 8, f(n + 1) = f(n) + 5; for n ≥ 1 f(1) = 8, f(n + 1) = f(n) − 3; for n ≥ 1

Answers

Answer:

the last one. f(n) - 3; for n ≥ 1

Answer:

D) f(1) = 8, f(n + 1) = f(n) − 3; for n ≥ 1

Solve the problem. Show your work

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Answer:

D correct

Step-by-step explanation:

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Answer:

x=57 degree

Step-by-step explanation:

Answer:

x=57

Step-by-step explanation:

(x-5) + (2x+4) = 180

get all xs on the same side non xs on other side till you get

3x=171

then divide 171 by 3

x = 57

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Answers

Answer: The answer should be 1.5.

Step-by-step explanation:

$6 divided by 12 is .5... Multiply .5 by 3, seeing as 1 pound = $.5

Answer:

$.5

Step-by-step explanation:

hope this helps y'all

What is the value for angle 2?

I need help

Answers

Answer:

120

Step-by-step explanation:

all complementary angles should add up to 180 degrees

Answer:

the value of 2 is 60

Step-by-step explanation:

3,998-(-7)
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Answers

Answer:

4005

Step-by-step explanation:

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Answers

Answer:

9. -2

10. 0

Step-by-step explanation:

It is not undefined because the slope of horizontal lines are 0

Diyva has 70 rocks.she donates half of the rocks to a science center. then she collects 3 rocks on each of her nature hikes

Answers

Answer:

What are you asking here? This is more like a statement.

Step-by-step explanation:

Answer:

I'm just going to assume that your trying to figure out how many rocks she has left, in which case the answer would be 38.

Aiman has 6 pizzas to share at a party. If each person will eat 3/8 of a pizza, how many people can share the pizzas?
A 48 people
B 16 people
C 2 people
D 6 people

Answers

Answer:

The amswer is B, 16 people.

A kid traveled a distance of 9 km by bike, and then walked a distance of km.
a.Find the total distance traveled in terms of
b. If the total distance was less than 30 km, form an inequality in , and
then solve it!

Answers

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question;

A kid traveled a distance of 9 km by bike, and then walked a distance of x km.

a.Find the total distance traveled in terms of  x

b. If the total distance was less than 30 km, form an inequality in x, and

then solve it!

a) Total distance = distance travelled by bike + distance walked

Total distance = 9km + xkm

Total distance = (9+x)km

b)  If the total distance was less than 30 km, the inequality representing this is;

9+x < 30

Subtract 9 from both sides;

9+x-9 < 30-9

x < 21

hence the solution to the inequality is x< 21

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