The function f(x)= -6x+11 has a range given by {-37,-25,-13,-1}.Select the domain values of the function from the list 1,2,3,4,5,6,7,8. explain how you arrived at your answer

Answers

Answer 1
The range is {-37,-25,-13,-1}. So you need to figure out what four numbers from this list of numbers (1,2,3,4,5,6,7,8), when applied to this
function, ( f(x)=-6x+11 ), equals these numbers that are in the range {-37,-25,-13,-1}.

So you apply each of these numbers (1,2,3,4,5,6,7,8) into the function (f(x)=-6x+11)
one by one.

f(1)=-6(1)+11=5
f(2)=-6(2)+11= -1
f(3)=-6(3)+11= -7
f(4)=-6(4)+11= -13
f(5)=-6(5)+11= -19
f(6)=-6(6)+11= -25
f(7)=-6(7)+11= -31
f(8)=-6(8)+11= -37
As you can see, f(2),f(4),f(6),and f(8) equal the numbers that are in the range {-37,-25,-13,-1}.
Answer 2

The domain of the given function f(x)= -6x+11 for the given range is

{2,4,6,8}

Given :

The function f(x)= -6x+11  

range given by {-37,-25,-13,-1)

Range is the f(x) values . Domain are the x values .

To find out domain , we substitute the values of f(x) that is range and solve for x

First we substitute -37 for f(x) in the given function and solve for x

[tex]f(x)= -6x+11 \\x=-37\\-37=-6x+11\\-37-11=-6x\\-48=-6x\\x=8[/tex]

Now substitute -25 for f(x)

[tex]x=-25\\-25=-6x+11\\-25-11=-6x\\-36=-6x\\x=6\\\\\\x=-13\\-13=-6x+11\\-13-11=-6x\\-24=-6x\\x=4\\\\\\x=-1\\-1=-6x+11\\-1-11=-6x\\-12=-6x\\x=2[/tex]

x values are the domain

Domain is {2,4,6,8}

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Related Questions

What has a greater area, a square or an equilateral triangle?

Answers

If the square and equilateral triangle have the same side length, a square would have a larger area.
Use these are equations and you can see which one is greater.
Square area with side length s: s^2
Equilateral triangle area: s^2 * (√3 ) / 4
(√3) / 4 < 1, if you didn't know

I hope this helps. Have an awesome day! :)

Find the greatest possible value of the product xy, given that x and y are both positive and x + 2y = 30

Answers

greatest value of xy
x + 2y = 30, x = 30 - 2y
xy = (30-2y)y = 30y-2y^2
so if -2y^2+30y = 100, then we can take out a (-2), so: y^2-15y=-50, y^2-15y+50=0
(y-5)(y-10)=0
y-5=0, y=5
y-10=0, y=10
Now we can "plug n play": plug each into x = 30-2y
x = 30-2(5) = 30-10 = 20
x = 30-2(10) = 30-20 = 10
So if we make x=20, y=5... xy = 100
And if x=10, y=10... xy = 100
Now we need to try other number variations to see if they can make xy > 100
if y=6, then x = 30-2 (6) = 30-12 = 18
xy = (18)(6) = 108. Ooh! there's a better choice, but let's keep going
if y=7, then x = 30-2(7) = 16, xy = 7*16 = 112
Even higher! But let's check others
If y=8, then x = 30-16=14, so xy = 112
But from here, the higher y gets the product of xy starts to decrease again
So the greatest possible value comes from 7*16 and 8*14, in which x*y was the maximum it could be at 112

Answer: The maximum value of the product x*y is 112.5

Step-by-step explanation:

We have that x + 2y = 30

so we can isolate one of the variables and get:

x = 30 - 2y

now, the product of x*y can be written as:

x*y = (30 - 2y)*y = 30y - 2y^2

now, we want to find the maximum of 30y - 2y^2

because the leading coeficient is negative (-2), we know that the hands of the quadratic function will go downwards, so the zero of the derivate of this quadratic equation will give us the value where the equation has a maximum:

f(y) = -2*y^2 + 30*y

f'(y) = -4*y + 30 = 0

y =  -30/4 = 7.5

So the maximum value is:

f(7.5) = -2*7.5^2 + 30*7.5 = 112.5

Identify the values of a b and c in the quadratic function y = 3x -5x +2

Answers

B is -5 and C is 2  use the formula ax^2+bx+c.

Describe how the graph of y= [tex]x^{2} [/tex] can be transformed to the graph of the given equation.

y = [tex](x-12) ^{2} [/tex] + 3

Answers

[tex]\bf \qquad \qquad \qquad \qquad \textit{function transformations} \\ \quad \\\\ % left side templates \begin{array}{llll} f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ y=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}} \end{array}\\\\ --------------------[/tex]

[tex]\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}[/tex]

[tex]\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{{{ B}}}[/tex]

with that template in mind, let's see

[tex]\bf y=(x-12)^2+3\implies y=\stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{-12})^2\stackrel{D}{+3}[/tex]

A = 1, so no change there from the parent.

B = 1, no change there either

C = -12, now, C/B is -12/1 or -12, that means a horizontal right shift of 12

D = +3, this means, going up by 3 units.

A baker sells bread for $5 a loaf and rolls for $1 each. The baker needs to sell $35 worth of baked goods by the end of the day. Enter a linear equation that describes the problem.

Answers

Explanation:

Cost of 1 loaf of bread = $5

Cost of 1 roll = $1

The baker needs to sell both items and it should be worth $35.

To find the linear equation, Suppose, the baker sells “b” loaves of bread and “r” rolls.

Then the total cost of the sales has to be $35.

So, the linear equation will be:

5b + 1r = 35

what’s the slope for x+5=y

Answers

The slope is 1, because the slope form is:
[tex]y = mx+b[/tex]

Where the m is the slope. Here, m=1.

What is the playing surface called where the college basketball semi- finals are played

Answers

I think it is called the final(e) floor. I'm not exactly sure tho...
Final answer:

The playing surface where the college basketball semi-finals are played is called the court. It is rectangular in shape and has various markings such as the three-point line and free-throw line.

Explanation:

The playing surface where the college basketball semi-finals are played is called the court or the basketball court. The court is rectangular in shape with a length of 94 feet and a width of 50 feet. It is divided into two halves with a midcourt line and has markings such as the three-point line, free-throw line, and key.

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I WILL MARK BRAINLIEST ANSWER
What is the equation of the following graph in vertex form?

y = (x − 3)2 − 1
y = (x + 3)2 − 1
y = (x − 4)2 − 2
y = (x − 4)2 + 8

Answers

The answer would be, y = (x − 4)2 − 2.

Answer:

y = (x + 3)2 − 1

:)

Megan's DVD club membership, which is $8, is deducted automatically from her bank account every month. Which expression shows the total deductions for the year?
1. (−$8) ÷ 12
2. (−$8) ⋅ 12
3. (−$8) − 12
4. (−$8) + 12

Answers

-8 * 12 = -96....she gets $ 96 deducted every year for the DVD membership

Hello,

100% Correct

The correct answer is B) (-$8) × 12

Hope this helps!!!! :)

(Took the Math test)

**(Vanessa)**

How can I tell if they are none transversal?

Answers

Final answer:

A non-transversal line in geometry is a line that does not intersect two or more lines at distinct points. Similarly, in geology, folds with a horizontal axial line, called non-plunging folds, can be analogous to non-transversal lines as they don't intersect with another structure at a distinct point.

Explanation:

In mathematics, specifcally in geometry, transversal is a line that passes through two lines in the same plane at two distinct points. If a line does not intersect two or more lines at distinct points, it can be considered as a non-transversal line.

According to the information provided, in the context of folds in geology, the axial line becomes a key concept. The axial line refers to an imaginary line drawn along the crest of a fold. If the axial line is horizontal, the fold is referred to as a non-plunging fold and it could be analogous to a non-transversal line in geometry, as it doesn't intersect with another structure at a distinct point.

However, if the axial line is tilted (plunging), it might be considered as a transversal in the sense that it 'intersects' the horizontal plane at a distinct angle. Similarly, if a line in geometry is tilted and intersects two or more lines at distinct points, it is a transversal line.

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This year, the parade had 127 floats. That was 34 fewer floats than last year. How many floats were in te parade last year ?

Answers

The question already told you that this year has 127 floats, but that is 34 less than last year. 

This means that there were 127 + 34 floats last year which is 161 floats.

Hope this helps!

-Jabba

Answer:

Last year were 161 floats, that is, 34 more than this year.

Step-by-step explanation:

Givens

There are 127 floats this year.That represents 34 fewer floats than last year.

The second given statement expresses that this year there are 34 LESS floats. So, to know how many floats were there last year, we just need to sum

[tex]127+34=161[/tex]

Therefore, last year were 161 floats, that is, 34 more than this year.

Evaluate 32 + (7 − 2) ⋅ 4 − 6 / 3.
a. 24
b.54
c.27
d.28

Answers

For some reason I keep getting the result 50.

Madison wants to make cookies for her little sisters birthday party. She is cutting a roll of cookie dough into pieces that are 1/2 inch thick. If the roll is 13 inche long, how many cookies can she make

Answers

If the roll is 13 inches long and Madison is cutting the dough into 1/2 inch thick slices, then she will have 26 cookies. Cross multiply 1/2 and 13/1.

Answer:

26 cookies

Step-by-step explanation:

13 times 2

Graph this equation on this graph

Answers

Plot these points (0,5) (1,-1) (2,-3) (3,-1) (4,5) and then make the parabola from there
Well you have that y-int=5 which is a good start

Now let's solve for the vertex form.
y=2x^2-8x+5
y-5=2x^2-8x
y-5=2(x^2-4x)
y-5+8=2(x^2-4+4)
y+3=2(x-2)^2

Thus the vertex is at (2,-3)
Now that you know this, plug in values(-1,0,1,2,3,4,5) to get (15,5,-1,-3,-1,5,15) respectively

Maths question below please help

Answers

AB and CD
İ hope it helped
AB AND CD!! Hope this helps

What is the 8th term in the sequence?


an=25−3n


Enter your answer in the box.

Answers

The 8th term is of the sequence is1.
Answer:

Hence, the 8th term of the sequence is:

[tex]a_8=1[/tex]

Step-by-step explanation:

We are defined the nth term in the sequence with the help of the relation or expression as:

[tex]a_n=25-3n-------(1)[/tex]

We are asked to find the 8th term of the sequence i.e. we are asked to find the value of [tex]a_n[/tex] when n=8.

so, we will put n=8 in the given expression (1).

[tex]a_8=25-3\times 8\\\\a_8=25-24\\\\a_8=1[/tex]

Hence, the 8th term of the sequence is:

[tex]a_8=1[/tex]

Colby worked three more hours on tuesday than he did on monday. on wednesday, he worked one hour more than twice the number of hours that he worked on monday. if the total number of hours is two more than five times the number of hours worked on monday, how many hours did he work on monday>

Answers

Monday = X
Tuesday = X + 3 (Problem says three more hours than he worked on Monday)
Wednesday = 2x + 1
(Problem says he worked 1 hour more than two times the number of hours on monday) 
This side of the equation would be - 
X + (X +3) + (2X + 1) 
That's monday plus tuesday plus wednesday. 
Then you would set up the other side of the equation. 
This would be the total number of hours so it would be equal to monday, tuesday and wednesday combined. 
2 + (5x) 
Two hours more than five times the amount of Monday (X) 

Now we put this together to have an equation 
X + (X + 3) + (2x+ 1) = 2 + 5x 
Now we need to collect like terms
4x + 4 = 2 + 5x 
I just simplified the left side of the equation
Now I will subtract 4x from the left side to get all the variables on one side 
4 = 2 + x 
Now I subtract 2 to get the numbers both on one side
2 = x 
So, Colby worked 2 hours on Monday.

Answer:

a,b,c

Step-by-step explanation:

i guessed and then they told me the right answer .

4/3 of a number is 20. What is the number?

Answers

Set up an algebraic equation:

[tex] \frac{4x}{3} = 20[/tex]

Now solve:

[tex]4x = 60[/tex]
[tex]x = 15[/tex]

Hope this helps!

A 3-cup bottle of dish soap costs $5.28. What is the price per fluid ounce?

Answers

1 cup = 8 fluid ounces
3 cups = 24 fluid ounces

To find the unit price, divide the price by the number of fluid ounces.
($5.28)/(24 fl oz) = $0.22/fl oz

Answer:A 3-cup bottle of dish soap costs $3.36. What is the price per fluid ounce.

Step-by-step explanation:

convert 0.000064 to scientific notation

Answers

the answer is 6.4×10−5
it is 6.4 times 10 to the -5 power

What are the odd numbers between 3497 and 3511?

Answers

The odd numbers between 3497 and 3511 are:
3497
3499
3501
3503
3505
3507
3509
3511

Mike and Julie surveyed students to determine how many had a grade of A in math. They recorded their findings for each survey in the table below.

                              Students with an A in Math
Number of A grades                                       Number of students surveyed
           20
                                                                                             4
           40
                                                                                             8
            60
                                                                                            12
             80
                                                                                            16

What is the constant of proportionality of the ratio of students surveyed to the number of A grades?
0.2
0.5
2
5

Answers

20/4 = 5

40/8 = 5

60/12 = 5

80/16 = 5


Answer is 5

Answer:

Option D 5

Step-by-step explanation:

Mike and Julie surveyed students to determine how many had a grade of A in math as given in the table.

We have to find the proportionality constant of the ratio of students surveyed to the number of A grades.

Since proportionality constant = [tex]\frac{\text{Students Surveyed}}{\text{number of A grades}}[/tex]

=[tex]\frac{20}{4}=5[/tex]

Similarly we can get the constant form other data which is equal to 5.

Therefore, Option D. 5 is the correct option.

what is 5 divided by 9374

Answers

0.00053339 hope this helps!!

For anyone taking or has taken vlacs algebra one, I really need a paragraph describing what was in module #1 for a discussion based assessment. Please help :!

Answers

i have that class i need to know the name of all the different titles in module one. so basically everything inside it. and then i can let you know

Annette drives her car 120120 miles and has a mean of a certain speed. if the mean speed had been 3mph3⁢mph more, she could have traveled 128128 miles in the same length of time. what was her mean speed?

Answers

So Annette's speed was 45 mph.

Let's make 2 equations to represent Annette's speed.

T*S = 120
Where
T = the time Annette has been driving.
S = her mean speed.
120 = number of miles she's traveled.

and another equation that's
T*(S+3) = 128

So we now have 2 equations with 2 unknowns. They are
T*S = 120
T*(S+3) = 128

Let's divide the top equation by S on both sides and the bottom equation by (S+3) on both sides giving
T = 120/S
T = 128/(S+3)

So we now know that 120/S is equal to 128/(S+3). So let's make that equation and solve for S
120/S = 128/(S+3)

Multiply both sides by S(S+3)
120(S+3) = 128S

Distribute the 120 on the left
120S + 360 = 128S

Subtract 120S from both sides
360 = 8S

And divide both sides by 8
45 = S

So Annette's speed was 45 mph.

Determine the exponential function that satisfies the given conditions:
The initial mass is 1.4g and it is halving every 4 days.

Answers

The function is represented by the below symbols if x stands for days. f(x) = (1/2)^(x)*1.4 From x = 0 - 4
Final answer:

To determine the exponential function, use the general form of an exponential function and substitute the given values. The equation is y = 1.4 * (1/2)^(x/4).

Explanation:

An exponential function represents exponential growth or decay. In this case, the given information states that the initial mass is 1.4g, and it is halving every 4 days. We can use the general form of an exponential function, y = ab^x, where a is the initial value, b is the growth/decay factor, and x is the time in days.

Since the mass is halving every 4 days, the decay factor is 1/2, since the mass is halving. The equation becomes y = 1.4 * (1/2)^(x/4).

This equation represents the exponential function that satisfies the given conditions.

At a discount grocery store, Jessica paid 0.72 for an 8-ounce bottle of spring water. What is the cost of the spring water per ounce?

Answers

Hey there!

The cost of the spring water per ounce is .09.
How?
You just divide. .72/8= .09

Which property justifies this statement?

x−4=x−4

A. Substitution Property of Equality

B. Transitive Property of Equality

C. Reflexive Property of Equality

D. Symmetric Property of Equality

Answers

D. Symmetric Property of Equality 

Answer:

C. Reflexive Property of Equality

Step-by-step explanation:

[tex]x-4=x-4[/tex]

A. Substitution Property of Equality

Some value is substituted for any variables. In the given equation, the value for x is not substituted.

B. Transitive Property of Equality

If [tex]c=b+1 \ and \ b+1=4[/tex] then c=4. Given equation does not represent transitive property.

C. Reflexive Property of Equality

When both sides are equal , then it is reflexive property

[tex]x-4=x-4[/tex] represents reflexive property of equality

D. Symmetric Property of Equality

If [tex]1+2=a[/tex] then [tex]a=1+2[/tex]

Given equation does not represents symmetric property

Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each session.if Allison already practiced 3 hours this week, how many more sessions remain for her to meet or exceed her weekly practice goal ?

Answers

She would need 7 sessions to practice to reach 12 minutes and 15 minutes of practice.

A conjecture and the paragraph proof used to prove the conjecture are shown.
Drag an expression or statement to each box to complete the proof.

It is given that ∠1≅ ∠4 ​. By the vertical angle theorem, [blank] ≅∠1 . Therefore, ∠2≅∠4 by the substitution property. By the [blank] , ∠4≅∠3 . So, ∠2≅[blank] by the [blank]

choices:
verticle angle theorim, transitive property of congruence, ∠4, ∠3, ∠2, ∠1

Answers

Answer:

∠2; vertical angle theorem; ∠3; transitive property of congruence

Step-by-step explanation:

∠2 and ∠1 are opposite angles that share only a vertex.  This is the definition of vertical angles, and by the vertical angle theorem they are congruent.

Substituting ∠2 for ∠1 in our "given" statement, we now know that ∠2≅∠4.

∠4 and ∠3 are opposite angles that share a vertex.  This makes them vertical angles, and the vertical angle theorem states that they are congruent.

The transitive property, algebraically, states "if a=b and b=c, then a=c."  Applied to this proof, it states "if ∠2≅∠4, and ∠4≅∠3, then ∠2≅∠3."

The required solution for the blacks,
Blank 1 = ∠2;
Blank 2 =  vertical angle theorem;
Blank 3 = ∠3; the transitive property of congruence.

It is given that
∠1≅ ∠4 ​. By the vertical angle theorem, [blank] ≅∠1 . Therefore, ∠2≅∠4 by the substitution property. By the [blank] , ∠4≅∠3 . So, ∠2≅[blank] by the [blank].
To determine the missing statement at the place of blanks in the statement.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Since
Black 1
∠2≅∠4
and  ∠1≅ ∠4

So ∠2 ≅ ∠1

Blank 2
∠2≅∠4 are equal by the vertical angle theorem.

Blank 3
∠4≅∠3
∠3 ≅∠1
So,
∠2 ≅ ∠1 ; ∠2≅∠3 and ∠4≅∠3  it is transitive property of congruence.

Thus, the required solution for the blacks,
Blank 1 = ∠2;
Blank 2 =  vertical angle theorem;
Blank 3 = ∠3; the transitive property of congruence.

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