Given f(x) = x2 - 10x + 22, what is the domain of f

Answers

Answer 1
Answer:Polynomials have the domain of all Reals.   Plugging any Real number into the equation will give you a value. Domain = {x|x∈R} Step-by-step explanation:The range is dependent on the curve itself.  The axis of symmetry for this function isx = -b/2a = -1(-10)/2(1) = 10/2 = 5 The vertex is F(5) = (5)2 + (-10)(5) + 21 = 21 -50 + 21 = -8Since the leading coefficient is positive, the parabola opens up and the vertex (5,-8) is a local minimum.  It turns out to be an absolute minimum too so the Range = {x|x∈R, x≥-8}

Thank yousunshinemadison101

Answer 2

The domain of function f (x) = x² - 10x + 22 is, (-∞, ∞).

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The function is,

⇒ f (x) = x² - 10x + 22

Now, We know that;

Domain of a function is defined as a set of value for which the value of function is real and defined.

Here, There is no points for x where the function f(x) is non defined.

Hence, Whole number line is the domain for the given function.

So, The domain of function f (x) = x² - 10x + 22 is, (-∞, ∞).

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Related Questions

9x+12x-21=27
How do I solve ?

Answers

You gotta combine like terms which would be 9x and 12x which gives you 21x .

|-5| |-(-5) | Is this equal or which one is more ?

Answers

Answer:

Equal

Step-by-step explanation:

The absolute value of any number is the same as the value between the lines, but instead, it is positive. The lines (|x|)represent the amount of units/numbers |-5| and |-(-5)| is away from 0. They are both 5 numbers away from it, so it is equal.

Answer: Yes it is equal.

Step-by-step explanation:

when a number is an absolute, always assume it is possitive number.

Example: l-2l = 2 or l2l = 2

i hope that made sense.

I need help ASAP
First 6 multiples of 2: 2, 4, 6, 8, 10, 12
First 6 multiples of 4: 4, 8, 12, 16, 20, 24
What is the least common multiple (LCM) of 2 and 4?
A. 8
B. 12
C. 4
D. 6

Answers

The answer is C, 4. It is the smallest number that is a factor for both.

Answer:

C) 14

Step-by-step explanation:

_______________

The area of a parallelogram is 5 cm Squared. explain why you can find the area without knowing the dimensions of the parallelogram. Please help quick!

Answers

Answer:

because a square always has the same length on each side so yo just see what number multiplies to that.

Step-by-step explanation:

The answer is 345. Use these numbers 10, 3, 4, 5, 2, 1, 100 to get 345

Answers

Answer:

Step-by-step explanation:

100 + 100 + 100 + 10 + 10 + 10 + 10 + 5

The question is primarily asking you to use the terms given to get the number given. As there is no rule written for this one, it is easier. Usually, or later on, they may give you a sequence in which you will plug in terms to obtain the results. In cases like that, you must remember to follow PEMDAS.

PEMDAS =

Parenthesis

Exponents & Roots

Multiplication

Division

Addition

Subtraction

& is the order of operation.

~

Answer:  10 × 3 + 4 + 5 × 2 + 1 + 3 × 100

Step-by-step explanation:

10 × 3 + 4 + 5 × 2 + 1 + 3 × 100 = 345

Using PEMDAS, multiply first ... then add/subtract.

30 + 4 + 10 + 1 + 300 = 345

      34 + 10 + 1 + 300 = 345                  

              44 + 1 + 300 = 345

                   45 + 300 = 345      

                           345 = 345            

For the function f(x) = −2(x + 3)2 − 1, identify the vertex, domain, and range.

Answers

Answer:

Vertex: (-3, -1)

Domain: All real numbers or (-∞, ∞)

Range: (-∞, -1]

Step-by-step explanation:

Quadratic Function: f(x) = a(bx - h)² + k

(h, k) is vertex

Step 1: Find vertex

f(x) = -2(x + 3)² - 1

h = -3

k = 1

Vertex = (-3, 1)

Step 2: Graph

When we graph, we should see our domain and range.

Domain is all x-values that can be inputted into the function.

Range is all y-values that can be outputted from the function.

Which is the measurement of 144 ounces? A: 12 pounds B: 9 pounds C: 18 pounds D: 16 pounds

Answers

Answer:

B

Step-by-step explanation:

because the mass value is 16 x 9pounds equals 144

B is the correct answer bro and girl

Is 8 a solution to -2(x + 10) + 4 = -32? True or False

Answers

Step-by-step explanation:

-2(x + 10) + 4 = -32

-2(x + 10) = -32 -4

-2(x + 10) = - 36

x + 10 = (-36)/(-2)

x + 10 = 18

x = 18 - 10

x = 8

8 is a solution ... true

A food truck sells tacos for 6.50 each and burritos for 7.50 each. The food truck's revenue from selling a total of 164 tacos and burritos in one day is 1157.00. How many tacos and burritos were sold that day?

Answers

Answer:

12 burritos and 167 tacos

Step-by-step explanation: 164 x 6.5 = 1066

1157 - 1066 = 91

91/7.5 about 12

164 tacos and 12 burritos

please help,, thankyou!

Answers

Answer:

Shown in the picture

Answer :

[tex]:\implies\bf\:m+n=18\:\longrightarrow\:(I)[/tex]

[tex]:\implies\sf\:2mn=-24\:\longrightarrow\:(II)[/tex]

[tex]:\implies\bf\:mn=-12\:\longrightarrow\:(III)[/tex]

Answer - A :

[tex]:\implies\tt\:\dfrac{5}{3m}+\dfrac{5}{3n}[/tex]

[tex]:\implies\tt\:\dfrac{15(m+n)}{9(mn)}[/tex]

[tex]:\implies\tt\:\dfrac{15(18)}{9(-12)}[/tex]

[tex]:\implies\tt\:-\dfrac{15}{6}[/tex]

[tex]:\implies\:\boxed{\bf{\purple{-\dfrac{5}{2}}}}[/tex]

Answer - B :

[tex]:\implies\tt\:\dfrac{4}{m^2}+\dfrac{4}{n^2}[/tex]

[tex]:\implies\tt\:\dfrac{4(m^2+n^2)}{(mn)^2}[/tex]

[tex]:\implies\tt\:\dfrac{4(m^2+2mn+n^2-2mn)}{(mn)^2}[/tex]

[tex]:\implies\tt\:\dfrac{4[(m+n)^2-2mn]}{(mn)^2}[/tex]

[tex]:\implies\tt\:\dfrac{4[(18)^2-(-24)]}{(-12)^2}[/tex]

[tex]:\implies\tt\:\dfrac{4(324+24)}{144}[/tex]

[tex]:\implies\tt\:\dfrac{348}{36}[/tex]

[tex]:\implies\:\boxed{\bf{\orange{\dfrac{29}{3}}}}[/tex]

Is 4 to 7 the same as 7 to 4? explain why or why not​

Answers

Answer:

Just say, "No, 7 to 4 is not the same as 4 to 7. I don't know why, but I just know because you taught me it wasn't."

Step-by-step explanation:

It worked for me lol

Answer:

4 to 7 is pretty much 4 divided by 7 which = 4/7 and 7/4 is 1 3/4. which is obviously greater. So they both equal different answers.

Step-by-step explanation:

no

Can i have brainliest

Which of the following statements is the most precise and correct to define a circle?

Answers

Answer:

THE SET OF ALL POINTS IN A PLANE THAT ARE THE SAME DISTANCE AWAY FROM SOME GIVEN POINT , WHICH WE CALL THE CENTER.

Step-by-step explanation:

(01.05 LC)Which fraction is equivalent to negative 4 over 6? A.) 6 /-4 B.) - 6/4 C.) 4 /-6 D.) 4/6 I NEED HALP OR ELSE IMANA DIE HERE PLSS HELPPPPP!!!!!!!!

Answers

Answer:

C

Step-by-step explanat:

Hope thats right

Answer: -4 over 9 hope this works

Step-by-step explanation:

The sum of the measures of the angles shown is 90°.
(5x)
(7x + 6)
10. Write an equation to determine the value of x.
11. Find the value of x.

Answers

Answer:

10). 5x + (7x + 6) = 90

11). x = 7

Step-by-step explanation:

From the picture attached,

Sum of given angles measures 90°

Measures of the angles are (5x)° and (7x + 6)°

Therefore, equation to determine the values of x will be,

5x + (7x + 6) = 90

By combining similar terms of the equation,

12x + 6 = 90

12x = 90 - 6

12x = 84

x = [tex]\frac{84}{12}[/tex]

x = 7

Therefore, by solving the equation value of x will be 7.

Evaluate each expression. 6 ÷ 6 + z + x − y; use x = 2, y = 5, and z = 6

Answers

Answer:

4

Step-by-step explanation:

6/6+6+2-5=

what is the measure of X?
angles are not necessarily drawn to scale

Answers

Answer:

xº=71º

Step-by-step explanation:

Take the triangle BDH

Once the sum of interior angles of a triangle is 180º:

40º+31º+yº=180º

71º+yº=180º

yº=109º

Once yº and xº are supplementary angles (add up to 180º):

yº+xº=180º

109º+xº=180º

xº=71º

If ∠DBE is 40° and ∠BDC is 31° then the angle x will be equal to 71°.

What is triangle?

A triangle is a two dimensional figure having three sides, three angles and the sum of all the angles is equal to 180°.

How to find angle?

We have been given ∠DBE=40° and ∠BDC=31° and we have to find the angle ∠IHE which is x°.

Let the angle DHB equal to y.

In ΔBDH

∠DBH+∠BDH+Y=180 { Sum of all angles in a triangle is equal to 180}

40+31+y=180

71+y=180

y=180-71

y=109°

We know that sum of two angles on a line is equal to 180°.

So, x=180-109

x=71°

Hence the value of x is 71° if ∠BDC=31° and ∠DBE =40°.

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What is the value of 4s2+10 if s=9?

Answers

Answer:

Step-by-step explanation:

Is the 2 an exponent? if so:

Plug 9 into S

so rewrite as 4(9)^2+10=1306

If not: then 4(9)(2)+10= 82

9. If DF = 42, find DE.
7x+1 4x-3
DEF what is DE​

Answers

Answer:

29

Step-by-step explanation:

So DF = 42, And we know that DF = DE + EF

Therefore (7x+1) + (4x-3) = 42

11x -2 = 42

11x = 44

x = 4

Substitute x = 4 onto DE equation, so 7(4) +1

= 29.

The required measure of line segment DE is 29.

Given that,
A line segment DF is given,
E is a point on the  segment DF, where DE = 7x +1 and EF = 4x - 3
and DF = 42,
To determine the measure of DE.

What is a line?

A line is a straight curve showing the shortest distance between 2 points.

Here,
DF = DE + EF
From the given put the values of  DF = 42, DE = 7x +1 and EF = 4x - 3
42 = 7x + 1 + 4x - 3
42 = 11x - 2
11x = 44
x = 4

DE = 7x + 1
Put the value of x in above equation,
DE = 7 * 4  + 1
DE = 28 + 1
DE = 29

Thus, the required measure of the DE segment is 29.

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In the diagram, what is the measure of WRS?
O 5°
O 7.5°
O 25°
O 37.5°

Answers

Answer : The measure of ∠WRS is 25°.

Step-by-step explanation :

As we know that vertically opposite angles are always equal.

In the given figure,

∠VRT = ∠WRS = (5x)°          (Vertically opposite angles)

And we know that the sum of all angle in a straight line is equal to 180°.

So,

∠TSR + ∠WRS = 180°

Given: ∠TSR = (25x + 30)°

∠TSR + ∠WRS = 180°

(25x + 30)° + (5x)° = 180°

30x + 30° = 180°

30x = 180° - 30°

30x = 150°

x = 5°

∠WRS = (5x)° = (5 × 5)°  = 25°  

Therefore, the measure of ∠WRS is 25°.

Answer: 25°

Step-by-step explanation:

Easy peasy go bedsy

Betty makes pies. to make 6 pies, she uses 7 1/2 cups of flour. How many cups of flour are needed to make one pie Please submit the improper fraction and a mixed number. If you don´t, be surprised when your answer gets reported <3

Answers

Answer:

1 1/4 or  5/4 cups of flour

Step-by-step explanation:

7 1/2 divided by 6 equals 1 1/4.

hope this helps you :)

Answer:yes

Step-by-step explanation:

Mikayla bought a bag of 84 pieces of candy and she wants to divide them up evenly and place into bags but doesn't won't more than 20 bags list the possible ways she can fill the bag

Answers

Answer:

[tex]1.0736 \times 10^{19}[/tex] ways

Step-by-step explanation:

Given that:

Mikayla bought a bag of 84 pieces of candy.

she wants to divide them evenly and place them into bag such that they are not more than 20 bags.

Therefore, the number of possible ways she can do that is ;

[tex]^{84}C__{20}[/tex]

= [tex]\dfrac{84!}{20!(84-20)!}[/tex]

= [tex]\dfrac{84!}{20!(64)!}[/tex]

[tex]= 1.0736 \times 10^{19}[/tex] ways

The possible ways she can fill the bag = [tex]1.0736 \times 10^{19}[/tex] ways

Three fences on a ranch measure 15/16 mile, 7/8 mile, and 7/16 mile. Which is the best estimate of the total length of all three fences. *

Answers

Answer:

deez

nuts

Step-by-step explanation:

What is the range of the data? 2,8,7,8,6,15,6,3,8

Answers

Answer:

13

Step-by-step explanation:

The range of a data set is the difference between the greatest and least values in the set. In this case, the greatest value is 15 and the least value is 2 so the range is 15 - 2 = 13.

You and a friend are heading to the movies. You each buy a ticket and you also want to buy some refreshments. The total cost of admission per person is, a, is $7.50 and you spent $15.50 on refreshments. Write an expression to represent the total cost of the trip. Then, find the total cost.

Answers

$7.50•2= $15.00
15.00+$15.50= $30.50 in total good luck :)))

Answer:

how did you find the answer of 1 ticket

Step-by-step explanation:

find three consecutive integers for which 3 times the sum of the first and the third is -342

Answers

Answer:

The integers are -58, -57, -56.

Step-by-step explanation:

The difference between two consecutive integers is 1.

If you let the smallest of the three consecutive integers equal x, then the next greater one is x + 1, and the greatest of the three is x + 2.

Integers: x, x + 1, x + 2

The sum of the first and third is: x + x + 2

3 times the sum of the first and third is: 3(x + x + 2)

That product equals -342.

3(x + x + 2) = -342

3(2x + 2) = -342

Divide both sides by 3.

2x + 2 = -114

Subtract 2 from both sides.

2x = -116

Divide both sides by 2.

x = -58

x + 1 = -57

x + 2 = -56

The integers are -58, -57, -56.

what is the value of x (x+2)(x-3)=0

Answers

Answer:

x = 3 or x = -2

Step-by-step explanation:

Solve for x over the real numbers:

(x + 2) (x - 3) = 0

Hint: | Find the roots of each term in the product separately.

Split into two equations:

x - 3 = 0 or x + 2 = 0

Hint: | Look at the first equation: Solve for x.

Add 3 to both sides:

x = 3 or x + 2 = 0

Hint: | Look at the second equation: Solve for x.

Subtract 2 from both sides:

Answer: x = 3 or x = -2

can someone help me solve -2(8m+8)=-16

Answers

-2(8m+8)=-16

divide both sides of the equation by -2

8m+8 = 8

then cancel like terms on both sides

8m = 0

divide both sides by 8

m= 0

Brainliest for correct answer

Answers

Here. The paper gives a little bit of an explanation...

Please help me out! :(

Answers

Ans: option 2

By substituting each x and y value in respected equation and u will get the ans.

Hope this can help.

pleas help. I only have 3 minutes left and i really dont get it. An estate agent has three houses for sale. The prices of the houses were
in the ratio 6:4:3 and the cheapest house was priced at $240 000. What
were the prices of the other two houses? (SHOW WORKING)​

Answers

Answer:

d a m n been 5 minutes

Step-by-step explanation:

wanna talk

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