Does the table represent a linear or nonlinear function? Explain.

[imagine included]


x 2 4 6 8

y 7 13 20 28

Answer:

[tex]\displaystyle \frac{7}{24}[/tex]

General Formulas and Concepts:

Algebra I

Calculus

[Area] Limits of Riemann's Sums - Integrals

Integration Rule [Reverse Power Rule]:                                                                    [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                          [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle f(x) = \frac{1}{x^4} \\ \ [1, 2][/tex]

Step 2: Find Area

Topic: Calculus

Unit: Basic Integration/Riemann Sums

Book: College Calculus 10e

Answer:

Step-by-step explanation:

9/5(-30) + 32

-54 + 32 = -22 degrees Fahrenheit

Answer:

x/8=26

X= 168

Step-by-step explanation:

brainlist me plz

Answer:

X=3.25

Step-by-step explanation:

X•8+6=32

      -6   -6

X•8=26

8÷8=26÷8

X=3.25

Check your answer by pluging it in like this

3.25•8=26+6=32

Hope this helps and if it does please mark me brainlist.

Answer:

460=35x+250

Step-by-step explanation:

He starts off with 250, adding 35 each week, which is constant, represented by x

Answer:

460 = 250 + 35x

Step-by-step explanation:

First, let's review some given knowledge. We know how much money he currently has, $250, and how much he plans to save per week, $35. We can represent this as a linear function in the form y = mx + b. The rate of change, aka the slope, is represented by m and the initial amount, aka the y-intercept, is b.

So what do m and b equal? We already have that knowledge! Because b represents the starting amount, we need to find the starting value of the savings account. That amount is $250, and so b = 250.

As for m, that, once more, is the rate of change. Here, that's how much money is added to the savings account in a frame of time. In this case, y represents how much money is in the savings account and x is how many weeks the student has been saving money for. In other words, the amount of money in the savings account is dependent on how many weeks the student has been saving money for.

This is for two reasons: first, in a linear equation of the form y = mx + b, x is the independent variable and y is the dependent variable. The function represents the change in x; this is why y could also be written as f(x),"the function of x" — y is a function of x. Second, it's very rare to find a situation where time is the dependent variable; you can go forward in time, but you (presumably!) can't go backward, unless you happen to have a DeLorean or a TARDIS.

Why is this important? Slope is rise over run; this could also be described as the change in y over the change in x, or [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]. Here, the slope is the change in the amount of money in the savings account over the number of weeks the student has been saving money. That's also the rate of change.

So, how much money is the student saving per week? The problem tells us that amount: he's saving $35 per week.

Now that we have our values, we can write our function. It is y = 35x + 250, where y is the amount of money in the savings account, x is the number of weeks the student has been saving money, 35 is the amount of money saved per week, and 250 is the starting amount of money in the account.

Next, we need to solve for a specific value of x. Here, y is given to us; it's 460, because the student wants to have $460 in his savings account. By substituting 460 for y, we turn our function into an equation. Then, we can solve for x, the number of weeks the student needs to reach his goal of having $460 in his savings account when he started with $250 and is saving $35 per week.

This, once again, makes our function, y = 35x + 250, into 460 = 35x + 250. Now, if we wanted to, we could solve for x by reversing the operations done. If this were a function, it would mean we were finding the inverse. But since this is an equation, we'd just be solving for x, the number of weeks the student will save money for until he reaches his goal.

Phew! This is a long explanation, I know. But my goal here is to help you understand the concept so you don't need to ask questions like this in the future. Hopefully, this answer helps you to reach that level.

It's about 9:00 AM where I am as I finish writing my answer, so good morning and have an awesome day! Keep learning, keep growing, and never stop going! You've got this!

Answer:

Boy I'm really boutta get to yo pickle chin ahh boy, egg head like collard greens head a//ss boy, oh hell nah boy yo dirt ahh boy stank ahh boy afro head ahh, lip gloss chin ahh boy ugly ahh boi

Step-by-step explanation:

Answer:

1 is the answer (or A)

Step-by-step explanation:

Answer:

<1

Step-by-step explanation:

"A"

Answer:

a circle

Step-by-step explanation:

Answer:

v = 10

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

I hope I was able to help you out today! If you have any questions about my answer and how I got it, ask me! If you think my answer was helpful hit that thanks button. And give me a rating to I know how I did! If you would like my help in the future with any of your math, science or history questions, add me as a friend so I actively check out your profile! Have a great day!

Answer:

v = 10

Step-by-step explanation:

8(v +1) = 88

8v + 8 = 88 (Distribute)

   - 8     - 8   (Subtract)

8v = 80  (Divide)

v = 10

Hope this helps :)

Answer:

Step-by-step explanation:

b. -2/5 - 4p/3

d. -4p/3 + (-2/5)

Answer:31.69

Step-by-step explanation:

31.69

Answer:

x : 3 :: y : -1

9 : 3 :: y : -1

3y = -9

y = -3

Answer:

-34

Explanation:

Y varies directly as x then the equation relating them is

y= kx ⬅️k is the constant of variation

To find k use the condition y= -51 when x=3

k= -17

y= -17x⬅️equation of variation

when x=2, then

y= -17*2=-34

Answer:

Step-by-step explanation:

Any rational expression can be expressed as the ratio between two integers. Since the square root of 5 or 3 are irrational the only rational expression is 1/3+4/5 because it can be expressed as 17/15 both of which are integers.

Answer:

No, because using the distributive property, you would get 5b+15  and 3b+15. The number of b you have is different.

Answer:

No?

Step-by-step explanation:

If we were to give b a value, let's say 2,

then 5(2+3) would = 25, and 3(2+5) would = 21.

therefore no, they are not equivalent.

Answer:

150

Step-by-step explanation:

To solve this problem, first start setting up the equation.

Start with bob first - this is the easiest. Let x = bob

To get the part for susie - he has $24 more than twice the amount of bob, so his part of the equation would be set up as: 2x + 24

Combine these parts:

x + (2x + 24)

Combined they have $150, so you would set the equation above equal to 150

x + (2x + 24) = 150

Combine like terms:

3x + 24 = 150

Solve the equation for x

3x   +   24   =   150

      -   24         -24

3x               =   126      isolate x by itself on one side of the equation

divide both sides by 3 to get x by itself

3x    =    126

3              3

x    =   42

Now that you have solved for x, you know the amount that bob has... $42

With this information you can substitute 42 for x in the equation that was created for susie

2x + 24   would now by (2*42) + 24  which is $108

So, the amount that bob has is $42 and susie has $108

You can double check your work by adding $42 and $108 together to see if you get $150 (which you do)

Hope this helps!!!

Answer:

Step-by-step explanation:

9mi(2hr/4mi)=4.5hr

Answer:

5

Step-by-step explanation:

Im not sure if you mean subtraction but if you find the difference im pretty sure you take 20.0 subtract 15.0 from it giving you the answer 5 or 5.0 im not that good with decimals sorry

Answer:

A. 4/3

3/4 *16/9 =

(3*16)/ (4*9) =

48/36 =

12*4/12*3 =

4/3

Answer:

N=2m+58000

Step-by-step explanation:

Answer:

1/4 I think, reduction?

Step-by-step explanation:

Answer:

wait 2022?!?!?!!?

Step-by-step explanation:

Answer:

x + gh = -11

Step-by-step explanation:

x + gh

= -3 + 4(-2)

= -3 + (-8)

= -11

Answer:

- 11

Step-by-step explanation:

= -3+4x-2

=-3+ (-8)

= -3-8

=-11

Answer:

t = (m / g) * p

Step-by-step explanation:

Since we are given a variable for every part of the equation that we need we can go ahead and create the following equation where t equals the total cost

t = (m / g) * p

In this equation, we need to first divide the total number of miles by the number of miles that the car gets per gallon. This would give us the total number of gallons that the car would use during the entire trip. We then multiply the number of gallons by the price per gallon to get the final cost of the entire trip.

Answer:

2.4

Step-by-step explanation:

[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{1}{6}[/tex]

using the rule for division by fractions, you get:

[tex]\frac{2}{5}*\frac{6}{1}[/tex]

simplify

[tex]\frac{12}{5}[/tex] = 2.4