Which relation is a function?

Answer:

the answer is B

Step-by-step explanation:

The elevation is a nonlinear function because it does not have a constant rate of change.

Answer:

B

Step-by-step explanation:

[tex]\\ \rm\rightarrowtail 2x^2-9x+8=0[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{9\pm\sqrt{81-64}}{4}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{9\pm\sqrt{27}}{4}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{9\pm3\sqrt{3}}{4}[/tex]

Check the picture below, so the parabola looks more or less like that.

now, the vertex is half-way between the focus point and the directrix, so that puts it where you see it in the picture, and the horizontal parabola is opening to the left-hand-side, meaning that the distance "P" is negative.

[tex]\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\begin{cases} h=-7\\ k=-2\\ p=-4 \end{cases}\implies 4(-4)[x-(-7)]~~ = ~~[y-(-2)]^2 \\\\\\ -16(x+7)=(y+2)^2\implies x+7=-\cfrac{(y+2)^2}{16}\implies x=-\cfrac{1}{16}(y+2)^2-7[/tex]

Answer :

⠀

Step-by-step explanation:

⠀

[tex] {\longrightarrow \: \sf \: Let \: \: a : b\: = 3: 4 = \dfrac{a}{b} \: = \: \dfrac{3}{4} = k}[/tex]

⠀

Therefore,

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[tex] \dashrightarrow \qquad \sf \: a = 3k[/tex]

[tex] \dashrightarrow \qquad \sf \: b = 4k[/tex]

⠀

Now, Substituting the values :

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[tex]\longrightarrow \qquad \sf \: 15a+9b:16a+5b[/tex]

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[tex]\longrightarrow \qquad \sf \: \dfrac{15(3k)+9(4k)}{16(3k)+5(4k)}[/tex]

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[tex]\longrightarrow \qquad \sf \: \dfrac{45k+36k}{48k+20k}[/tex]

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[tex]\longrightarrow \qquad \sf \: \dfrac{81k}{68k}[/tex]

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[tex]\longrightarrow \qquad \sf \: \dfrac{81 \cancel{k}}{68 \cancel{k}}[/tex]

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[tex]\longrightarrow \qquad \sf \: \dfrac{81}{68}[/tex]

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[tex]\longrightarrow \qquad \bf \: {81} : {68}[/tex]

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Therefore ,

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[tex]{ \pmb{ \sf{\longrightarrow \qquad \: 15a+9b:16a+5b = 81 : 68}}}[/tex]

⠀

Step-by-step explanation:

Length, width and height are three dimensional objects.

I hope this will help you.

Answer:

What color does the letter purple taste like?

Step-by-step explanation:

Answer:

The first four terms is: 390625, 625, 25, 5

Step-by-step explanation:

Given

[tex]f(n) = \sqrt{f(n-1)}[/tex]

To determine the first 4 terms.

We have

[tex]f(1) = 390625[/tex]

[tex]f(2) = \sqrt{f(2 - 1)}[/tex]

[tex]f(2) = \sqrt{f(1)}[/tex]

Substitute 390625 for f(1)

[tex]f(2) = \sqrt{390625}[/tex]

[tex]f(2) = 625[/tex]

For f(3), we have

[tex]f(3) = \sqrt{f(3-1)}[/tex]

[tex]f(3) = \sqrt{f(2)[/tex]

[tex]f(3) = \sqrt{625[/tex]

[tex]f(3) = 25[/tex]

For f(4), we have

[tex]f(4) = \sqrt{f(4-1)[/tex]

[tex]f(4) = \sqrt{f(3)[/tex]

[tex]f(4) = \sqrt{25[/tex]

[tex]f(4) = 5[/tex]

Hence, the first four terms is:

390625, 625, 25, 5

Answer:

E

Step-by-step explanation:

[tex]cos30 = \frac{ \sqrt{3} }{2} [/tex]

Answer:

40%

Step-by-step explanation:

divide 80 by 100 80/100= 0.8 then divide 32 by 0.8 to get 40%

The volume of the sphere that has a radius of 3 inches is: 113.1 in.³

Volume of a sphere is found using the formula, V = 4/3 πr³, where r is the radius of the sphere.

Given the following:

Plug in the values into V = 4/3 πr³:

Volume of the sphere = 4/3 (3.14)(3)³

Volume of the sphere = 113.1 in.³

Learn more about the volume of a sphere on:

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Answer:

5) 0 6 ) 1/4

Step-by-step explanation:

So the slope ( gradient ) of line E is 0 because it is straight and it as no slope

The slope of line F is 1/4 because:

Gradient = y^2 - y^1 / x^2 - x^1

Gradient = 2-0 / 6- -2

Gradient= 2 / 8

2/8 in lowest term is 1/4

YOU MIGHT AVE A DIFFERENT METHOD BUT ANSWERS MUST BE THE SAME.

HOPE IT HELPED

Call the amount of chips ordered : x

-> The amount of hot dogs ordered : 4x

Since there are a total of 20 chips and hot dogs orders, x + 4x = 20 -> 5x = 20

-> x = 20/5 = 4
-> 4x = 4 x 4 = 16

So, there are 16 hot dogs and 4 chips ordered.

Answer:

16 hot dogs

4 chips

Step-by-step explanation:

Let h = number of hot dogs ordered

Let c = number of chips ordered

Given:

⇒ h + c = 20

⇒ h = 4c

Substitute  h = 4c  into  h + c = 20  and solve for c:

⇒ 4c + c = 20

⇒ 5c = 20

⇒ c = 4

Substitute found value for c into  h = 4c  and solve for h:

⇒ h = 4 × 4

⇒ h = 16

Therefore, 16 hot dogs and 4 chips were ordered.

Answer:

X=9

Hope this helps! :)

The answers to the Speed question are:

Speed is known to be the distance that is said to be traveled and it is per unit of time. It is seen as the rate of which an object is said to be moving.

Note that Speed is calculated in this case as 1/2mv².

Therefore, to calculate the variables are:

If the speed of the bottle is 2 m/s, then

= ½ (0.250) (2) ^2

= 0.5

If the speed of the bottle is 3 m/s, then

= ½ (0.250) (3) ^2              

=1.125

If the speed of the bottle is 4 m/s, then

= ½ (0.250) (4) ^2.              

= 2

If the the speed of the bottle is 5 m/s, then

= ½ (0.250) (5) ^2            

=  3.125

= ½ (0.250)(6)^2                

=4.5

Therefore, the answer given above are correct.

Learn more about speed from

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#SP9

Answer:

0.5, 1, 2, 3, & 5

Step-by-step explanation:

did it on edgeinuity

Answer:

Midpoint is (1,4)

The value of h'(1) is -8

Given the following expression;

[tex]h (x) = 5 f(x) - 4g (x) + 3x^2 - 2[/tex]

Differentiating the function above:

[tex]h' (x) = 5 f'(x) - 4g' (x) + 6x[/tex]

Given the following parameters

[tex]f' (1) = 2\\g' (1) = 6[/tex]

Get h'(1)

[tex]h' (1) = 5 f'(1) - 4g' (1) + 6(1)\\h' (1)=5 (2) - 4(6) + 6(1)\\h' (1)= 10-24+6\\h' (1)=-8[/tex]

Hence the value of h'(1) is -8

Learn more here: https://brainly.com/question/1557484

Answer:

3150

Step-by-step explanation:

principal =45000

compound interest =3.5%

Time =2years

then,

3.5/100*45000=1575

2years

1575*2=3150

Answer: At least $91.91

Step-by-step explanation:

From the question, we are informed that to avoid a service​ fee, the checking account balance must be at least ​$500 at the end of each month.

Since the current balance is ​$525.17 and $117.08 has been spent, the balance will now be:

= $525.17 - $117.08

= $408.09

Since the checking account balance must be at least ​$500 at the end of each month and we currently have $408.09, this means that there will still be a need to add $91.91.

= $500 - $408.09

= $91.91

At least $91.91 must be added to avoid the fee.

Answer:

The slope equals the rise divided by the run

Step-by-step explanation:

Answer:

0.10

Step-by-step explanation:

If one meter is 100 centimeters and you're trying to find how much of a meter is in 10 centimeters all you need to do is divide the meter by 10, just like they did to get the amount of centimeters.

Answer:

(-3, 3)

explanation:

if reflected over y axis, use the formula: (x,y) → (-x, y)

If translated vertically, there will be change in y axis

(-3, 5-2) → (-3, 3)

Answer:

-3,3

Step-by-step explanation:

I really dont know how to explain

[tex]e^{x^2y} - e^y = e^y(e^{x^2} - 1) = x[/tex]

We should ISOLATE x

[tex]e^y= \frac{x}{e^{x^2} - 1}[/tex]

Find the Natural Log of Both Sides to Make the Left Side "y"

[tex]y = ln(\frac{x}{e^{x^2}-1})[/tex]

Now, FIND THE DERIVATIVE Using Chain Rule!!!

[tex]y' = \frac{1}{\frac{x}{e^{x^2}-1}} * \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)^2}= {\frac{e^{x^2}-1}{x}}* \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)^2} = {\frac{1}{x}}* \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)} = {\frac{1}{x}}* \frac{(e^{x^2}-1 - 2x^2e^{x^2})}{(e^{x^2}-1)}[/tex]

Answer:

48 i think

Step-by-step explanation:

Answer:

$48

Step-by-step explanation:

Changing the subject of an equation involves solving for another variable in the equation

The equation of t is [tex]t=\frac{\sqrt{y_i-y_o}}{N}[/tex]

The equation is given as:

[tex]N=\sqrt[2]{\frac{y_i-y_o}{t^2}}[/tex]

Rewrite the equation as:

[tex]N=\sqrt{\frac{y_i-y_o}{t^2}}[/tex]

Evaluate the square root of t^2

[tex]N=\frac{\sqrt{y_i-y_o}}{t}[/tex]

Multiply both sides by t

[tex]Nt=\sqrt{y_i-y_o}[/tex]

Make t the subject, in the above equation

[tex]t=\frac{\sqrt{y_i-y_o}}{N}[/tex]

Hence, the equation of t is [tex]t=\frac{\sqrt{y_i-y_o}}{N}[/tex]

Read more about subject of formula at:

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Answer:    0.435 repeating

Step-by-step explanation:

Answer:

-8c + 6

Step-by-step explanation:

2 (-6c + 3) + 4c

Distribute the 2 with the expression in the parenthesis:

-12c + 6 + 4c

*Parenthesis are no longer needed

Combine Like terms:

-8c + 6

*Ask yourself is it in its simplest form? If no, continue your work. If yes, you have your answer.

Answer:

7.561 – 2.37=5.191 if you wanted me to show work, comment and ill change it.

Step-by-step explanation: