what is the domain of y=x^2-17

Answers

Answer 1

Answer:

The Vertex Form of a Parabola is:

g(x) = a(x - h)2 + k

vertex = (h, k)

rate = a (positive is up; negative is down)

a = -1/4   (downward parabola)

vertex = (17, 61)

There is no domain restriction.

Since the parabola is upside down (downward-facing), it reaches it's maximum at its vertex. In other words, is not possible for g(x) to be greater than 61.

Step-by-step explanation: hope this helped:/


Related Questions

Seven more than twice a number is greater than negative nineteen. Find all numbers that make this statement true.
The answer is I (Type an inequality using x as the variable.)

Answers

Answer:

Hey there,

Let the unknown number be x

Here they say that ,

Seven more than twice a number,

2x + 7

Is greater than,

2x + 7 >

Negative 19,

2x + 7 > -19

Now solve for x

[tex]2x + 7 > - 19 \\ 2x > - 19 - 7 \\ 2x > - 26 \\ \frac{2x}{2} > \frac{ - 26}{2} \\ x > - 13[/tex]

So,

All the numbers which are greater than (-13) makes this statement true.

Examples

[tex]x = { - 12, - 11, - 10, - 9...} \\ [/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

All numbers that makes, the statement "Seven more than twice a number is greater than negative nineteen" True, are the numbers greater than -13.

Let us denote the unknown number as "x",

The given statement can be translated into an inequality as follows:

7 + 2x > -19,

Now, to solve for "x," we separate the variable by subtracting 7 from both sides of the inequality,

We get,

2x > -26

Divide both sides by 2:

We have,

x > -13

Therefore, any number greater than -13 would make the statement "Seven more than twice a number is greater than negative nineteen" true.

In interval notation, this would be written as (-13, ∞), indicating all real numbers greater than -13.

Learn more about Inequality here

https://brainly.com/question/26855203

#SPJ3

I really need help getting these answers please​

Answers

Answer:

[tex]f(x) = \frac{5}{2} x + \frac{21}{2} \\ f(x) = 2 \\ f(x) = - \frac{3}{2} x + 4[/tex]

2. Translate P(4, 0) right 3 units and up 5 units. Give the coordinates of the image point.
O(-5, 1)
O(1,-5)
O (5,7)
O (7,5)

Answers

Answer: (7,5)

Explanation:
4 + 3 = 7 (x value)
0 + 5 = 5 (y value)

The coordinates of the image point will be P''(7, 5).

What is the difference between upward, downward, leftwards and rightwards translation?Upward translation {k units} : When the upward translation take's place then, each point will have its y - coordinate shifted upwards by +k units.Downward translation {k units} : When the downward translation will take place then, each point will have its y - coordinate shifted downwards by -k units.Leftward translation {k units} : When the leftward translation will take place then, each point will have its x - coordinate shifted by -k units to the left.Rightward translation {k units} : When the rightward translation will take place then, each point will have its x - coordinate shifted by +k units to the right

Given is to translate P(4, 0) right by 3 units and up by 5 units.

Rightward translation : P'(4 + 3, 0 + 0) = P'(7, 0)

Upward translation : P''(7 + 0, 0 + 5) = P''(7, 5)

Therefore, the coordinates of the image point will be P''(7, 5).

To solve more questions on Graph translations, visit the link below -

brainly.com/question/12802031

#SPJ2

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Write the fraction in simplest form.
6/22=?

Answers

Answer:

3/11

Step-by-step explanation:

Divide both the numerator and denominator by 2.

[tex]\dfrac{6}{22}=\dfrac{2*3}{2*11}=\dfrac{3}{11}[/tex]

You invest $1200 into an account paying 7% interest compounded quarterly. Determine the annual interest rate to the nearest hundredth of a percent

Answers

171 percent
1200 divided by 7 is 172.428571. rounding up to the nearest hundredth would be 171

2x+10y=20 and passes through (2,3)

Answers

Answer:

No, it doesn't pass through

Step-by-step explanation:

As, if we put the value (2,3) in the equation then,

2x + 10y = 20

=> 2(2) + 10(3) = 20

=> 4 + 30 = 20

=> 34 ≠ 20

Hence,

2x+10y=20 does not pass through (2,3)

Find the area of the figure.

Answers

Answer:

24 units^2

Step-by-step explanation:

bc=6

ab=8

area of a triangle: b*l/2

6*8/2=24

Answer: Area of the figure = 24

Concept:

Here, we need to know how to find the area of a triangle.

Area (triangle) = (1/2) · b · h

b = base

h = height

Solve:

Given coordinates on the graph

A (-5, 5)

B (-5. -3)

C (1, -3)

To find the value of the height, we need to know the value of a vertical line, meaning the [x] value of the points on the line is equal. As we can see from the given coordinates, point A and point B has the same [x] value. The value of the height equals the difference between A and B's [y] value

A (-5, 5)

B (-5, -3)

5 - (-3) = 5 + 3 = 8

To find the value of the base, we need to know the value of a horizontal line, meaning the [y] value of the points on the line is equal. As we can see from the given coordinates, point B and point C has the same [y] value. The value of the base equals the difference between B and C's [x] value

B (-5, -3)

C (1, -3)

1 - (-5) = 1 + 5 = 6

Given expression

A = (1/2) · b · h

Substitute values into the expression

A = (1/2) · (6) · (8)

Simplify by multiplication

A = (1/2) · (48)

[tex]\boxed{A =24}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

what is the answer to this question (-4uv²)³​

Answers

Answer:

     [tex]-64u^{3}[/tex][tex]v^{6}[/tex]

Step-by-step explanation:

Answer:

(-64u³vto the 6th power)

Step-by-step explanation:

(4³u³v to the 6th power)

(-64u³vto the 6th power)

i need help with this

Answers

Answer:

I love you baby

Step-by-step explanation:

I love you baby to quit all night I love you baby

George bought 9 apples that cost 50 cents each. He paid with a five dollar bill. How much change did George receive?

Answers

Step-by-step explanation:

pls follow me this is my new.id

Answer:

He has 9 apples so we add .50 cents 9 times.

If we count this money-wise we would get 4.50, so if he paid with a $5 bill he would recieve 50 cents

Step-by-step explanation:

I need help with those problems

Answers

Answer:

for the first one it's 36

for the second its 13


please someone answer with an explanation if possible!

Answers

Answer:

download gauth math and scan it and will give u the answer

Answer:

C

Step-by-step explanation:

The y intercept is where the line first crosses the y axis, so it would be positive 2. The slope is negative because it's diagonally going the left way, and its 3 because from one point to another it's 3 down and 1. The formula for a slope is rise/run, in this case it would be 3/1 which is 3.

QUICK!!

Which equation represents the relationship shown in the graph??

Answers

Answer:

y=1/2x

Step-by-step explanation:

Look at the graph, all you need is the first point.

Y is at 4 and X is at 2. We can divide y/x to get 4/2=1/2x

PLEASE HELP ME AND HURRY TOO NO LIBKS PLEASE I WILL GIVE BRAINLIEST

Answers

Answer:

[tex] \frac{1}{3} x - 5 - \frac{1}{6} x - 3 = \\ \frac{2}{6} x - \frac{1}{6} x - 8 = \frac{1}{6} x - 8[/tex]

Answer:

option D is the right answer

please mark this answer as brainlist

If 2x-8=3-4x then x=

Answers

Answer:

x = -32

Step-by-step explanation:

Need some help on this question please provide evidence on how you came up with the answer aswell.

Answers

Answer:

No and No

Step-by-step explanation:

Squaring a odd, whole, number results in a even number 99% of the time with the only exception being 1 (1^2 equals 1). If m is 3 and n is 5, mn would be 15, so if both m and n are odd they don't always equal a even number.

Answer:

Step-by-step explanation:

If we are dealing with whole real numbers.

Both answers are based on the same idea.

The product of two numbers is even only if at least one of the two multiplicands is even.

The square of an odd number can only result in an odd number. The reverse is true as well. The square root of an odd number can only be an odd number.

This comes from number theory where multiplication is the repeated addition of one number a certain number of times.

If the first number is even, then every time you add itself again results in an even number, It does not matter if you add an even or odd number of times.

If the first multiplicand is odd, the sum of two odd numbers is always even, adding a third odd multiplicand again results in an odd number, the fourth is even, the fifth is odd, the pattern continues forever. The summation of an even number of odd multiplicands results in an even number. The summation of an odd number of odd multiplicands results in an odd number.

A scientist was in a submarine below sea level studying ocean life over the next 10 minutes she dropped 23.5 feet how many feet has she been below sea level if she was 89.2 feet below sea level after she dropped

Answers

Answer:

65.7 ft.

Step-by-step explanation:

at first, let's say she was x fts. below sea level.

over the next 10 minutes she drops 23.5 ft.

that is her height below sea level then becomes

(x + 23.5) ft.

and it's given that she dropped to 89.2 ft. below sea level.

x + 23.5 = 89.2

x = 89.2 - 23.5

x = 65.7 ft.

and x was the height she's been below sea level.

Therefore ,she's been 65.7 ft. below sea level.

Answer:

65.7

Step-by-step explanation:

We need to find out how many feet she was at. So it is really simple you have to subtract 23.5 from 89.2 and you will get 65.7 which was how many feet she was.

Kendrick went to the playground. He played on the swings for 30 minutes and went on the slide for 30 minutes. It was 11:15 A.M. when Kendrick left the playground. What time was it when Kendrick arrived at the playground? Include A.M. or P.M. in your answer (for example, 11:58 A.M.).

Answers

10:55 am i’m pretty sure

The square root of 75 is closet to wich is not following

Answers

The answer is b. 9 .

Answer:

B.) 9

Step-by-step explanation:

The square root of 75 is 8.660254038 (or 8.6). The 6 tells us that we need to round up to a whole number which makes it the closest to 9

please help on all asap, tysm <33

Answers

Answer:

1. 4.22

2. 19.415

3. nine and thirty- five

4. Three and four hundred twelve

Step-by-step explanation

Please help. I need all of them answered. I will give extra point and brainiest to best answer.

Answers

Answer:

See below

Step-by-step explanation:

Open the parenthesis:

#1y = (x - 7)(x + 2) = x² + 2x - 7x - 14 = x² - 5x - 14#2y = 4(x + 5)(x - 1) = 4(x² - x + 5x - 5) = 4(x² + 4x - 5) = 4x² + 16x - 20#3y = - 2(x + 1)(x - 2) = -2(x² - 2x + x - 2) = -2(x² - x - 2) = -2x² + 2x + 4

Evaluate the expression. −3(−15−2(−9))2 What is the value of the expression? Enter your answer in the box.

Answers

-3(-15-2(-9))2= -3(-15+18)2= -3(3)2= (-9)2= -18

please mark this answer as brainlist

The value of the numerical expression −3[−15 − 2(−9)]² will be negative 27.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The expression is given below.

⇒ −3[−15 − 2(−9)]²

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.

⇒ −3[−15 − 2(−9)]²

⇒ −3[−15 + 18]²

⇒ −3[3]²

⇒ −3 × 9

⇒ −27

The value of the numerical expression −3[−15 − 2(−9)]² will be negative 27.

More about the value of the expression link is given below.

brainly.com/question/23671908

#SPJ5

Evaluate a1 (r)^n-1 for a1 = 2, r= 3, and n = 4.
A. 216
B. 18
C. 32
D. 54

Answers

Option D

[tex]a1(r) {}^{n - 1} [/tex]Putting values:

[tex]2(3) {}^{4 - 1} [/tex][tex]2(3) {}^{3} [/tex][tex]2 \times 27[/tex][tex] = 54[/tex]Hence, Proved.

Answer:

[tex]54[/tex]

Answer D is correct

Step-by-step explanation:

[tex]a_1 \: {r}^{n - 1} \\ 2 \times {3}^{4 - 1} \\ 2 \times {3}^{3} \\ 2 \times 3 \times 3 \times 3 \\ 2 \times 9 \times 3 \\ 2 \times 27 \\ = 54[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

I need help I don’t understand

Answers

Answer:

*Replace each "x" with the required numbers .

1) g (14) ; Ans;

[tex] g(x) = 2x \\ g(14) = 2(14) \\ g(14)= 28 [/tex]

___o_o___

2) f (-8) ; Ans;

[tex]f(x) = x + 3 \\ f( - 8) = - 8 + 3 \\ f( - 8) = - 5[/tex]

___o_o___

3) j (3) ; Ans;

[tex]j(x) = ( - 1)^{x + 2} \\ j(3) = {( - 1)}^{3 + 2} \\ j(3) = {( - 1)}^{5} \\ j(3) = - 1[/tex]

___o_o___

4) h (4) ; Ans;

[tex]h(x) = {3}^{x} \\ h(4) = {3}^{4} \\ h(4) = 81[/tex]

___o_o___

5) f (2.8) ; Ans;

[tex]f(x) = x + 3 \\ f(2.8) = 2.8 + 3 \\ f(2.8) = 5.8[/tex]

___o_o___

6) j(-5) ; Ans;

[tex]j(x) = {( - 1)}^{x + 2} \\ j( - 5) = {( - 1)}^{ - 5 + 2} \\ j( - 5) = {( - 1)}^{ - 3} \\ \\ j( - 5) = \frac{1}{ {( - 1)}^{3} } \\ \\ j( - 5) = \frac{1}{ - 1} \\ \\ j( - 5) = - 1[/tex]

___o_o___

7) g(3/4); Ans;

[tex]g(x) = 2x \\ \\ g( \frac{3}{4} ) = 2( \frac{3}{4} ) \\ \\ g( \frac{3}{4} ) = \frac{3}{2} \\ \\ g( \frac{3}{4} ) = 1.5[/tex]

___o_o__

8) [h(6.2)]² ; Ans;

[tex]h(x) = {3}^{x} \\ h(6.2) = {3}^{6.2} \\ h(6.2) = 908.13785497 \\ \\ {(h(6.2))}^{2} = ({3}^{6.2})^{2} \\ {(h(6.2))}^{2} = 824714.36364715[/tex]

___o_o___

9) j(2) + g(-3) ; Ans;

[tex]j(x) = {( - 1)}^{x + 2} \\ j(2) = {( - 1)}^{2 + 2} \\ j(2) = {( - 1)}^{4} \\ j(2) = 1 \\ \\ g(x) = 2x \\ g( - 3) = 2( - 3) \\ g( - 3) = - 6 \\ \\ \\ j(x) + g(x) \\ j(2) + g( - 3) \\ 1 + ( - 6) \\ 1 - 6 \\ j(2) + g( - 3) = - 5[/tex]

___o_o___

10) h(1) - f(-10) ; Ans;

[tex]h(x) = {3}^{x} \\ h(1) = {3}^{1} \\ h(1) = 3 \\ \\ f(x) = x + 3\\ f( - 10) = - 10 + 3 \\ f( - 10) = - 7 \\ \\ \\ h(x) - f(x) \\ h(1) - f( - 10) \\ 3 - ( - 7) \\ 3 + 7 \\ = 10 \\ h(1) - f( - 10) = 10[/tex]

___________o____o__________

**We look at the table. If f(4) or f(-2) is required, it came from f(x) by substitution each x with the required numbers, and the result is in the table f(x) .

***But if he says that f(x) is equal to a number, he means the resulting table f(x) and asks for the "x" that you take from the table "x" .

Table (1) Ans;

f(4) = –3

f(-2) = – 6

If f(x)= -3 ,then x = 4

If f(x) = 1 , then x = 3

___o_o___

Table (2) Ans;

f(4) = –7

f(-2) = 1

If f(x)= -3 ,then x = 0

If f(x) = 1 , then x = - 2

___o_o____

Table (3)Ans;

f(4) = 7

f(-2) = 3

If f(x)= -3 ,then x = 6

If f(x) = 1 , then x = 0

I hope I helped you^_^

Write the word namefor the decimal 31.903

Answers

Thirty-one and 903 thousandths

A triangle has side lengths of (5.9d – 1.1f) centimeters, (3.4d – 9.1g)

centimeters, and (8.1g – 9.3f) centimeters. Which expression represents the

perimeter, in centimeters, of the triangle?

Answers

Answer: 9.3d−g-10.4f

Step-by-step explanation:

Kylie just accepted a job at a new company where she will make an annual salary of $43000. Kylie was told that for each year she stays with the company, she will be given a salary raise of $5000. How much would Kylie make as a salary after 6 years working for the company? What would be her salary after tt years?

Answers

Answer:5600

Step-by-step explanation:

Because I just did it

find -x , when x=-16/51

Answers

Answer:- 1.066667 i think

Step-by-step explanation:

Lisa and Molly were digging holes in the sand at the beach to build their sandcastles. Lisa dug an 11 foot hole and Molly dug a 14 foot hole. Find the difference in depth.

Answers

the difference in depth is 3 feet, you can find this by the equation 14-11



pls help!!! i don’t know how to do this .

Answers

Answer:

-30 ,-2

5, -3

hope it will.help u

Other Questions
ty againIn March, Isaiah and Freddie had the same amount of money in their savings accounts. In April, Isaiah deposited $210 into his account. Freddie increased the money in his account by 15%. When they compared their balances, they found that they were still equal.How much money did they both have in their accounts in March?Enter your answer in your box. Write in words. Use commas and hyphens.38,492 can you halp me? i have not meny time In this lesson you discovered the Angle Blsector Conjecture. Write the converse of the Angle Blsector Conjecture. Do you think it's true. Why or why not? Plz help me NO LINKS 50 POINTS!!! To find 623, I can just take the value of 613 then either multiply it by 12 or divide it by 2. Do you agree with her? Explain why or why not. What does this picture represent?. 0Hot PlateB.Graduated cylinder.GogglesD.Electronic Balance a father and his son are racing down a mountain. if they're traveling at the same velocity who has more kinetic energy How is economic migration related to population growth and decline? PLEASE HELP/ NO GUESSING. Enclude two significant examples if foreshadowing from "the lottery" explain what its foreshadowing? Question 31 ptsIn populations with adensity, individuals are crowded together in their habitat. Inpopulations with adensity, individuals are spaced far apart. by what date must taxes be filed in the united states? Translate to english Salut!J'espre que tu vas bien ! Je suis en vacances Paris 1997alors je voulais t'envoyer une carte postale. Il y a aussi DESune photo de ma famille avec la carte. J'ai un petit frreet une grande sour. Ma sur s'appelle lodie. Elle a 17ans et elle est trs intelligente. Mon frre s'appelleBenjamin et il est trs amusant. Il a 11 ans et il a toujoursfaim. Mes parents sont srieux mais ils sont gentils.Oh, j'ai oubli de te parler de moi ! Je suis rousse etpetite. Et je suis toujours heureuse ! Et toi alors?Parle-moi de ta famille ! la prochaine !Emilie Nach der Schule _____ ich Musik, oder ich _____ Freunde und wir _____ Karten. Am Nachmittag _____ ich schwimmen, und am Abend _____ ich Fernsehen. Ich _____ auch andere Interessen: ich _____ Breifmarken und Comics. Which factor of production would tools fall under? A) Land B) Labor C) capital D) entrepreneurship Write the equation of a line with a slope of 3 that passes through the point (3, -4) in point-slopeform. Then change to slope-intercept form. do you want high or low interest rate on loan/credit explain name the gas produced when nitric acid is added to copper metal A piece of pipe that is 8 feet long is cut into 1 4 ft pieces. How many pieces can be cut from the pipe? There are 20 black, 15 white, 12 green, 12 red, 9 blue, and 2 yellow candies in a box. How many candies should you take (without looking at them) to be sure that you have at least 3 candies the same color