If f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0? –18 –12 12 18

Answers

Answer 1

Answer:

Option 3: 12 is the correct answer.

Step-by-step explanation:

Given functions are:

[tex]f(x) = 16x-30\\g(x) = 14x-6[/tex]

In order to find the value of x on which (f-g)(x) will be zero, first of all we have to find (f-g)(x) and then equate it equal to zero to find the value of  that will make (f-g)(x)

So,

[tex](f-g)(x) = f(x) - g(x)\\= (16x-30)-(14x-6)\\=16x-30-14x+6\\= 2x-24[/tex]

Now to find the value of x on which (f-g)(x) will be zero, putting (f-g)(x) = 0

[tex](f-g)(x) = 0\\2x-24 = 0[/tex]

Adding 24 on both sides

[tex]2x-24+24 = 0+24\\2x = 24[/tex]

Dividing both sides by 2

[tex]\frac{2x}{2} = \frac{24}{2}\\x = 12[/tex]

For x=12, (f-g)(x) will be zero.

Hence,

Option 3: 12 is the correct answer.

Answer 2

Answer:

C got it right on edge 2022

Step-by-step explanation:


Related Questions

Styles
Because you want to prepare and serve the healthiest food possible, you monitor the fat
and calorie content of items on your menu. Some of the menu items are included in the
graph below

Answers

Your business partner is correct; there is a positive correlation. As fat goes up, the calorie count tends to increase with it

Answer:

Yes, my partner is correct because as the fat increases the calories increase. And when the points are rising from the left to the right, this indicates a positive correlation.

Step-by-step explanation:

All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours.
b
How many hours would it take to fill the order if the number of working machines increased by a factor of 2?

Answers

Answer: 11 hours

Step-by-step explanation:

22/2 = 11

Find the distance between E(5,3) and F(-4,3).

Answers

Answer:

3 - 3 = 0 units There is no distance, the points are in the same place.

Step-by-step explanation:

Write the equation of a line parallel to the line y=2x

Answers

Answer:

to create an equation that is parallel to a line, you keep the slope or rate of change the same, all you do is change the y intercept. so you have to keep

y = 2x, but then you can add any number to the end.

Write an equivalent addition expression to : -10 – (-4)

Answers

Answer:

-6

Step-by-step explanation:

-10-(-4)=-1+4=-6

Hope this helps plz mark brainliest ;D

6x² – x=2
Factor and solve

Answers

Answer:

x=2/3 or x=−1/2

Step-by-step explanation:

6x²−x=2

6x²−x−2=2−2

6x²−x−2=0

(3x−2)(2x+1)=0

3x−2=0 or 2x+1=0

x=2/3 or x=−1/2

Find the length of BD and EC.
A
D
9
8
B
с
BD =
EC =

Answers

i think BD is 16 and EC is 9. hope this helps

Determine an expression for dy
dx given that x = sin3
(t)andy = cos3
(t)

Answers

Answer:

[tex]\frac{dy}{dx} =-\sqrt[3]{\frac{y}{x} }[/tex]

Step-by-step explanation:

Recall that using the chain rule we can state:

[tex]\frac{dy}{dt} =\frac{dy}{dx}*\frac{dx}{dt}[/tex]

and therefore solve for dy/dx as long as dx/dt is different from zero.

Then we find dy/dt  and dx/dt,

Given that

[tex]x=sin^3(t)\\dx/dt = 3 sin^2(t)* cos(t)[/tex]

And similarly:

[tex]y=cos^3(t)\\dy/dt=-3\,cos^2(t)*sin(t)[/tex]

Therefore, dy/dx can be determined by the quotient of the expressions we just found:

[tex]\frac{dy}{dx} =\frac{dy/dt}{dx/dt} =\frac{-3\,cos^2(t)*sin(t)}{3\,sin^2(t)*cos(t)} =-\frac{cos(t)}{sin(t)}[/tex]

now notice that we can find   [tex]cos(t) = \sqrt[3]{y}[/tex]  from the expression for y,

and   [tex]sin(t) = \sqrt[3]{x}[/tex]  from its expression for x.

Therefore dy/dx can be written in terms of x and y as:

[tex]\frac{dy}{dx} =-\frac{cos(t)}{sin(t)}=-\sqrt[3]{\frac{y}{x} }[/tex]

Which expression is equivalent to 4x+6y-8x

Answers

Answer:The expression is 6y - 4x

Step-by-step explanation:

Answer:

-4x+6y

Step-by-step explanation:

4x+6y-8x4

(4x-8x)+6y

−4x+6y


I need help with this can someone help me I have a few other ones as well I don’t understand anyone?

Answers

Answer:

x=59

Step-by-step explanation:

The sum of the interior angles of a triangle add up to 180 degrees.  That means that (x+12)+(x)+(x-9)=180 degrees in total.  If we combine the like terms (combine the xs and regular constant values), the xs add up to 3x (x+x+x) and the regular constants add up to 3 (12+-9=3).  If we rewrite this in a more simplified form, we get 3x+3=180.  Subtract 3 on both sides to get 3x=177 because we want to isolate x.  3x=177 divide 3 on both sides and we get 59.  x=59

What is 15.23 rounded to the nearest hundredth

Answers

Answer:

15.20

Step-by-step explanation:

Anyone know this or could help me out?

Answers

1. Set both pairs of opposite angles equal to each other.
- Explanation: opposite sides of a quadrilateral parallelogram are congruent

2. Solve for X and Y
- 8x-8 = 6x+4
x=6
- 7y+2 = 6y + 16
y=14

Seven and nine thousands in decimal form

Answers

7.009 for sure

Jdjdnfnfjf

Replace the with <, >, or = to make the statement true.
5 0-3

Answers

5>0-3

Step By Step- 5 is greater than 0-3 because 0-3 would equal a negative number, and all positive numbers are greater than negative numbers

Answer:

5>0-3

Step-by-step explanation:

How much would 7 bottles of water cost

Answers

What is the price of the water bottles

Answer:

$5.25

Step-by-step explanation:

y= -2x+8
what is the value of y when 0 is the value of x?

Answers

Value of y is 8 because if x is zero than zero times anything is zero and you have 8 left over

Not sure what you mean but will be explaining about y = 0 and x =0 anyway.

So for x = 0, that means the value of x is 0.

y = -2(0)+8

y=0+8

y=8

So when x = 0, the value of y is 8 (y = 8) or we can write (0,8)

For y = 0, that means the value of y is 0.

0=-2x+8

-8=-2x

-2x=-8

x=4

So when y = 0, x = 4. We can write as (4,0)

1. Determine the intervals on which each function is increasing or
decreasing
(a) f(x) = x^3 - 11/2x^2 - 4x

Answers

Answer:

[tex]\text{$f(x)$ is increasing for $(-\infty, -\frac{1}{3})$ and $(4, \infty)$} \\ \text{$f(x)$ is decreasing for $(-\frac{1}{3}, 4)$}[/tex]

Step-by-step explanation:

We have the function:

[tex]f(x)=x^3-\frac{11}{2}x^2-4x[/tex]

And we want to determine the intervals for which the function is increasing or decreasing.

We will need to first find the critical points of the function. Note that our original function is continuous across the entire x-axis.

To find the critical points, we need to find the first derivative and then solve for the x. So:

[tex]f^\prime(x)=\frac{d}{dx}[x^3-\frac{11}{2}x^2-4x][/tex]

Differentiate:

[tex]f^\prime(x)=(3x^2)-\frac{11}{2}(2x)-(4) \\ f^\prime(x)=3x^2-11x-4[/tex]

Set the derivative equal to 0 and solve for x:

[tex]0=3x^2-11x-4[/tex]

Factor:

[tex]0=3x^2-12x+x-4 \\ 0=3x(x-4)+(x-4) \\ 0=(3x+1)(x-4)[/tex]

Zero Product Property:

[tex]3x+1=0\text{ or } x-4=0 \\ x=-\frac{1}{3}\text{ or } x=4[/tex]

Therefore, our critical points are -1/3 and 4.

We can thus sketch the following number line:

<————-(-1/3)——————————————(4)—————>

Now, let’s test values for the three intervals: less than -1/3, between -1/3 and 4, and greater than 4.

For less then -1/3, we can use -1. So, substitute -1 for x for our first derivative and see which we get:

[tex]f^\prime(-1)=3(-1)^2-11(-1)-4=3+11-4=10>0[/tex]

The result is positive.

Therefore, for all numbers less than -1/3,f(x) is increasing (since its derivative is positive).

For between -1/3 and 4, we can use 0. Substitute 0 for our derivative:

[tex]f^\prime(0)=3(0)^2-11(0)-4=-4<0[/tex]

The result is negative.

Therefore, for all numbers between -1/3 and 4, f(x) is decreasing (since its derivative is negative).

And finally, for greater than 4, we can use 5:

[tex]f^\prime(5)=3(5)^2-11(5)-4=16>0[/tex]

The result is positive.

Therefore, for all numbers greater than 4, f(x) is increasing (since its derivative is positive.

Therefore:

[tex]\text{$f(x)$ is increasing for $x<-\frac{1}{3}$ and $x>4$}\\ \text{ $f(x)$ is decreasing for $-\frac{1}{3}<x<4$}[/tex]

In interval notation:

[tex]\text{$f(x)$ is increasing for $(-\infty, -\frac{1}{3})$ and $(4, \infty)$} \\ \text{$f(x)$ is decreasing for $(-\frac{1}{3}, 4)$}[/tex]

What is the y-intercept?

Answers

The y intercept is 2,8

Juan's book has 248 pages this is 10 more pages than there are in Kevin's book how many pages are in Kevin's book

Answers

Answer:

238

Step-by-step explanation:

juans has 10 more than kevin's, so you just subtract 10 from 248, getting 238

fill in the blanks thanks

Answers

Answer:

Um threre is no blanks or there is no question.

Step-by-step explanation:

Geometry
What is the range of possible values for x? The diagram is not to scale.

Answers

Where is the diagram? How do we answer without it?

WILL GIVE BRAINLIEST Katya is wanting to put artificial turf in her back yard. Her yard is 20 feet by 30 feet. She figures that she will need the drainage rock under the turf to be 1 foot deep. She goes to the home improvement store and sees the following signs for rock. What is the unit rate of brand B?

Answers

12 i think but maybe not

Can someone solve this equation for me? 34 + 12x = 3x - 22
Thanks. Any help is appreciated! :)

Answers

Answer: x= -56/9

Step-by-step explanation:

34+12x=3x-22

Subtract 12x from both sides

34=-9x-22

Add 22 to both sides

56=-9x

Divide -9 by both sides to get x alone

56/-9=x

So

x=-56/9

PLEASE HELP ILL GIVE AS MANY POINTS AS YOU WANT!!

Answers

Answer:

-2= y=-13, (x,y)= (-2,-13)

0= y= -3, (x,y)= (0,-3)

1= y= 2, (x,y)= (1,2).

Step-by-step explanation:

Please mark as brainliest. :)

Solve for x.
10x−3x+5=26

Answers

Answer:

x = 3

Step-by-step explanation:

10x−3x+5=26 (Given)

7x + 5 = 26 (Combine like terms)

7x = 21 (subtraction Property of equaity)

x = 3 (division Property of equaity)

What is 8 divide 1/5?
What is 8 divide by 1/5

Answers

They are both 40 lol, it’s the same

Answer:

40

Step-by-step explanation:

Factor by Grouping
2y2 + 7yz + 5z2

Answers

Here you go! Hope this helps

After 10 years, the principal on this mortgage is $136,683. How much of the next payment will go towards interest ​

Answers

Answer:

26123 is the answer have a good day

What is the equation of the line that passes through the point (5,2) and has a slope
of -3/5

Answers

Answer:y = -0.6x + 5

Step-by-step explanation:

Answer:

yessir the one on top is right btw

Step-by-step explanation:

hope this helped

Find the general solution of the given system. Use a computer system or graphing calculator to construct a direction field and typical solution curves for the system

Answers

Answer:

hello your question is incomplete attached below is the complete question and solution

answer :  general solution ( X ) = [tex]C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.[/tex]

Step-by-step explanation:

attached below is the detailed solution to determine the general solution of the given system

general solution ( X ) = [tex]C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.[/tex]

Other Questions
Why is Mg++ smaller than Mg atom? Tiffany took her friends out to dinner. If the dinner was $29.53 and she gave a 20% tip, how much money did she spend on dinner? Which sentence best corrects the clause fragment?As soon as I clean my room. My friends and I are going out for ice cream.My friends and I will clean my room as soon as I go out for ice cream.As soon as my room is clean, My friends and I are going out for ice cream.My friends and I are going out for ice cream. As soon as I clean my room.As soon as I clean my room, my friends and I are going out for ice cream. Do you think tariffs were beneficial to the Republic of Texas? Why or why not? 5 to the 2 powerhelp Which answer choice shows 12.444 rounded to the nearest half? A. 11 B. 11.5 C. 12 D. 12.5 Where were the trading posts for the Portugal Empire? Can somebody help me? Thanks. References inserted initially as footnotes can be converted to endnotes through an option in the software.A. TrueB. False roast me. best roast will get 5 stars, thanks, braliest. 807 x 491AND THEM ESTIMATE THE ANSWER Find f(4) if f(x)=3x2+11x+37 In a chemical reaction, which aspect of the reactants changes?(1 point)A. atomsB. massC. nucleiD. total mass I really need help with something please help i will give you a site that you can chat people on the first answer gets it. 50x50= How to prevent discrimination around the world? help!! Please answer! Correct answers get brainiest. Hailey is at the beach in the hot sun. Which of the following is an example of how her body will maintain homeostasis? O A. Tanning to stop UV rays from damaging the body O B. Burning to stop UV rays from damaging the body C. Napping to decrease body temperature D. Sweating to decrease body temperature, what did spain lose at the end of the "spanish american" war? If a certain town started with 45 people and had 360 people 15 months later, what is the growth rate? (r can also be per month instead of per year) For which equations is the solution for x the same number?i. 15 - X = -3ii. x/2 + 6 = 15iii. -1/3x - 5.7 = 0.3O A. i and iiO B. i and iiiO C. ii and iiiO D. i, ii and iii O E. none of the questions