Calculate the average rate of change of the function f(x) = mx + b over the interval 2 ≤ x ≤ 13.
A) 1
B)
11
C) m
D) b

Answers

Answer 1

Answer:

m

Step-by-step explanation:

The slope of a line is constant. This means no matter the two points on the line that you use to calculate the slope you will get the same number for the slope. Your equation is in slope-intercept form, y=mx+b where m is slope and b is y-intercept. So your equation is in that exact form with the same use of constant numbers m and b where m is slope and b is y-intercept.

So the answer is m.

However, we could use slope formula = change in y divided by change in x.

Change in y from x=2 to x=13 is [(m(13)+b)-m(2)+b)]=13m+b-2m-b=13m-2m+b-b=11m+0=11m.

Change in x is 13-2=11.

So the slope is 11m/11=m.


Related Questions

2. Select all of the trips that would take 4 hours. a. Drive 40 miles per hour between Gotham City and Smallville, which are 160 miles apart. Take a plane going 900 kilometers per hour from Town A to Town Z. which are 3,600 kilometers apart. c Walk 3.2 miles per hour to the grocery store, which is 8 miles away.​

Answers

Answer:

i think the answer is 50 if not im sorry if there is another go for that one.

Step-by-step explanation:

A relationship between x and y is defined by the equation − 5 x + 3 y = 12 , where x is the input and y is the output. Indicate whether each of these statements about the relationship is true or false by selecting a box in each row. Statement True False y is a function of x . The graph of the relationship is a line. The graph of the relationship passes through the origin. When the input is 6, the output is 14.

Answers

Answer:

Step-by-step explanation:

y is a function of x . TRUE

The graph of the relationship is a line.  TRUE

The graph of the relationship passes through the origin.  - it in standard form, when you plugin 0 for x or y, you get the other intersect( x-intercept: (12/-5,0) y-intercept: (0,4)) so it dosent go throught the origin. FALSE

When the input is 6, the output is 14. TRUE

-5(6)+3(14)=12

-30+42=12

12=12

Answer:

y is a function-TRUE

The graph of the relationship is a line-TRUE

The graph of the relationship passes through the origin-FALSE

When the input is 6, the output is 14-TRUE

It costs $22 to enter an amusement park and $0.50 to ride a ride. You have $23. Write an equation that represents the number r of rides you can ride.

Answers

Answer:

21.50 + 0.25r = 22.25

Step-by-step explanation:

Thats ur equationnn

I'm not exactly sure how to do this. I know how you would graph it but I don't know the transformation.

Answers

Answer:

Its D.

Step-by-step explanation:

The 3 as the exponent makes it cubic and since the x+1 is in parenthesis you would move it 1 unit to the left

Twice a number diminished by seven

A) 7x - 2
B) 2x + 7
C)2x - 7
D) 7x + 2

PLZ HELP IM NOT SURE WITH MY ANSWER π-π​

Answers

Answer:

2x-7

Step-by-step explanation:

let the no be X

twice the no =2X

diminished by 7= 2X-7

Answer:

C)2x - 7..................

As long as he's hired by someone, roughly how much can James earn in a month from his part-time job? Assume that his net pay is $8/hour and assume 4.5 weeks

Answers

Answer:

36

Step-by-step explanation:

8 * 4.5 = 36

James will earn 252 dollars if he work in a month from his part-time job. when his per hour pay is 8 dollars and assuming 4.5 weeks.

What is net earnings of James?

Whenever an employee work for a company he recieves a salary for his work now james is working as a part-time employee so he is getting 8 dollars for per hour working.

Suppose james is working one hour every day as a part timer so his income in one month or in 4.5 weeks will be

[tex]\rm James\ income =8\times 4.5\times 7[/tex]

[tex]\rm James\ Income= 252[/tex]

Hence James will earn 252 dollars if he work in a month from his part-time job. when his per hour pay is 8 dollars and assuming 4.5 weeks.

To know more about income follow

https://brainly.com/question/25745683

Ok I cut the freaking cute please help me uwu stuff could yall just answer me like 10 points
−2/9x+2.7=4
find x

Answers

Answer:

Step-by-step explanation:

−2/9x+2.7=4

subtract 2.7 from both sides

-2.9x = 1.3

divide -2.9 from both sides

x= -.4482 or x= -.45

14.
Jan spent 3 hours doing homework last week.
She spent 5 hours doing homework this week.
How many more hours did Jan spend on homework
this week than last week?
A. 1 hour
B. 1 hour
D. 11 hours
C. 14 hours

Answers

Answer:

D. [tex]\mathrm{1\frac{1}{2}\:hours}[/tex]

Step-by-step explanation:

As it asks how many more, it means plus, plus means addition. So, let find the difference between the two fractions.

This week should be at first, and last week should be after the minus sign.

[tex]5\frac{1}{4} - 3\frac{3}{4}[/tex]

[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction}[/tex]

[tex]5\frac{1}{4} = 4\times5=20+1=21\\\\\frac{21}{4} \\\\3\frac{3}{4} = 4\times3=12+3=15\\\\\frac{15}{4}[/tex]

[tex]\frac{21}{4} - \frac{15}{4}[/tex]

[tex]\mathrm{Subtract\: the\: numerators,\: not \:the \:denominators.}[/tex]

[tex]\frac{21}{4} - \frac{15}{4}\\\\21-15=6[/tex]

[tex]\frac{6}{4} \\\\\mathrm{\underline{Simplify:}}\: \bold{1\frac{1}{2}}[/tex]

A television was originally priced at $1250.00 It is now on sale. If the TV is 30% off what is the sale price of the television?

Answers

Answer:

$875.00

Step-by-step explanation:

You multiply 1250 by .3 to get 375. Then you subtract that from your total to get your sale price. Hope this helps :))

What is p^m multiplied by p^n equal to?

Answers

Step-by-step explanation:

p^m × p^n .....since the base is the same, add the powers

p^(m + n)

p^m + n

Please help! This is due in 25 minutes!! Will give brainliest, 5 star rating, 10 points, and a thanks!!!!

Answers

Answer:

333

666

Step-by-step explanation:

333 / 9 = 37

666 / 9 = 74

yeah-ya...... right?

Answer:

333

Step-by-step explanation:

we see that all three digits are the same so heres a list of numbers it could be 222 333 444 555 666 777 and we know that numbers divisible by nine mean all the digits added up have to be divisible by nine and we can see that 333 equals 9 when the digits are added together so this is the answer.

Harry is paying for a meal with groups of friends. They received great service, so he is giving a $20% tip. The meal came to $225.10 before sales tax. How much will he leave as a tip?

Answers

Answer:

  $45.02

Step-by-step explanation:

The tip here is being figured on the bill before tax. It is the product of the bill amount and the tip rate:

  $225.10 × 20% = $45.02

Harry will leave $45.02 as a tip.

In total there are 53,444 adults at a football match there are 4300 more women then men at the match how many men are at the match

Answers

Answer:

There are 24,572 men.

Step-by-step explanation:

Let men = m, let women = w.

m + w = 53,444

w = 4300 + m

m + (4300 + m) = 53,444

m + m + 4300 = 53,444

2m + 4300 = 53,444

2m = 53,444 - 4300

2m = 49144

m = 49144/2

m = 24,572

Determine if the point is a solution to the system of linear equations [tex] \huge \{{ \large \begin{array}{} 2x + 3y = 2 \\ 6y = 5 - 4x \end{array}} [/tex] ​

Answers

Answer:

The system has no solutions.

Step-by-step explanation:

If you stare at it for the bit you can tell the system is impossible. Let's see why:

First of all, rewrite the second equation by bringing all unknowns on the LHS:

[tex]4x+6y=5[/tex].

Then take twice the first equation, doubling every coefficient:

[tex]4x+6y=4[/tex] See how the LHS is the same? The system is asking you to find a quantity (4x+6y) which is at the same time equal to four AND five - emphasis on that "and" - which is obviously impossible, because it implies that 4=5. So the point - which you didn't provide - is not a solution. Nor is any other point.

Please help me with this question! It's a writing question.

Answers

Answer:

That he made a medicine that reduces coughing

Step-by-step explanation:

HELP 35 POINTS

State the domain and range to each of these functions and determine function or not.

Answers

Answer:

see below

Step-by-step explanation:

2.x<1, y=all real numbers

3. -1<=x<=3 -3<=y<=2

4. x= all real numbers, y>-2

5. 7<=x<5, 3<=y<1

6.x>-4, y>-1

Question
Select the factored form of the expressions 3x2−11x−4

A (3x−4)(x+1)

B (3x−2)(x+2)

C (3x+1)(x−4)

D (3x−1)(x+4)

Answers

C) (3x+1)(x-4) hope this helps

Identify whether the following expression is a polynomial. If it is, identify the type according to the number of terms.
6x^2 + x + 1

Answers

Answer:

The expression is a polynomial.

Trinomial (according to the number of terms)

Step-by-step explanation:

Given the algebraic expression, 6x² + x + 1:

A term comprises of a product of numerical coefficient and one of more variables raised to powers.  Like terms have the same variables and exponents.

While a polynomial is a term (or finite sum of terms), comprising of variables with positive or zero integer exponents. Strictly defined, the terms within a polynomial expression cannot include variables as a denominator.  

A monomial is a single-termed polynomial.

A binomial is a polynomial with two terms.

A trinomial is a polynomial that has exactly three terms.

With these given definitions, we can infer that the given polynomial expression, 6x² + x + 1,  is a trinomial, given that it has three terms:

6x² is the leading term with the highest degree or exponent. Specifically, the name of this term is quadratic, given its exponent of 2. x is a linear term, given its exponent of 1. 1 is a constant term.

Therefore, the given expression is a polynomial containing three terms, making it a trinomial.    

help me pls. will mark brainliest

Answers

Answer:

(1,1) and (2,2)

Step-by-step explanation:

you have to locate points that will overlap with both shaded area

pls help i dont get it

Answers

Answer:

Step-by-step explanation: it’s 41%

Zane calculated the missing side length of one of these triangles using the pythagorean theorem. Which triangle is it? a b c d.

Answers

Answer:

d

Step-by-step explanation:

A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 95% pure antifreeze. The company wants to obtain 285 gallons of a mixture that contains 55% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?

Answers

Answer:

premium: 165 gallonswater: 120 gallons

Step-by-step explanation:

Let 'a' represent the amount of 95% antifreeze in the mix. Then the amount of water is (285 -a). The mix has this amount of antifreeze in it:

  0.95a +0(285 -a) = 0.55(285)

  a = 0.55/0.95(285) = 165 . . . gallons of 95%

  285 -a = 285 -165 = 120 . . . . gallons of water

There are 120 gallons of water and 165 gallons of premium antifreeze in the mixture.

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Answer:

15lb

Step-by-step explanation:

1lb=453.59

order -9, -16, -13, 0 from least to greatest

Answers

Answer:

_16,-13,-9,0

Step-by-step explanation:

hope this helps u out!!

On what interval is the function increasing.

Answers

The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

Grogg draws triangle ABC. Side BC is 4 inches shorter than side AB. and side AC is 6 inches longer than side BC. The perimeter of the triangle is 31 inches. What is the length of side AB?

Answers

Answer:

AB = 11

Step-by-step explanation:

AB = x

BC = x - 4

AC = 6 + BC    Substitute BC

AC = 6 + (x - 4)

AC = 2 + x

The perimeter of the triangle  is 31

Perimeter =  AB + BC + AC  perimeter is the sum of the sides

 31 = (x )+ (x - 4 ) + (2 + x)

  31 = 3x - 2

   33 = 3x

   11 = x

AB = x = 11 inches

Check:  

AB = x  ;    AB = 11

BC = x - 4;  BC = 11 - 4; BC = 7

AC = 2 + x;  AC = 2 + 11; AC = 13      

  P = 11 + 7 + 13

      = 31

Find the lowest common multiple (LCM) of 18 and 21.

Answers

LMC (18,21) = 126

ok done. Thank to me :>

Mary is a lawyer who has an annual salary of $ 147,362. She has to pay
state income tax of 8%. What is the amount that Mary pays in state
income tax?
A $ 12,365.96
B) $ 11,788.92
C)$ 11,788.96
D $ 12,365.92

Answers

Answer:

3

Step-by-step explanation:

To calculate the amount that Mary pays in state income tax, we need to find 8% of her annual salary.

Given that Mary's annual salary is $147,362, we can calculate the state income tax as follows:

State Income Tax = (8/100) * Annual Salary

State Income Tax = (8/100) * $147,362

State Income Tax = $11,788.96

Therefore, Mary pays $11,788.96 in state income tax.

The correct answer is C) $11,788.96.

[tex]\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}[/tex]

♥️ [tex]\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}[/tex]

What dp they mean 2 to the fourth equal 16.

Answers

Answer:

See Below

Step-by-step explanation:

I think you mean 2 the the fourth power, showing 2, with an exponent of 4.

To calculate this, you multiply your base, 2, by itself as many times as the exponent states. Like, 2x2x2x2 because you are multiplying it 4 times by 2.

2x2=4, then 4x2=8, then 8x2= 16.

Hope this helps!

I need with this please! It due tonight.

Answers

Answer:

x = 17

Step-by-step explanation:

1. First, we should know that all angles in any triangle add up to 180°.

This means that x + 17 + 6x + 10 + 4x - 34 = 180

2. (Solving)

Step 1: Simplify both sides of the equation.

[tex](x+6x+4x)+(17+10-34)=180[/tex] [tex]11x -7 = 180[/tex]

Step 2: Add 7 to both sides.

[tex]11x - 7 + 7 = 180 + 7[/tex] [tex]11x = 187[/tex]

Step 3: Divide both sides by 11.

[tex]\frac{11x}{11} =\frac{187}{11}[/tex] [tex]x = 17[/tex]

Step 4: Check if solution is correct.

[tex](17)+17+6(17)+10+4(17)-34=180[/tex] [tex]17 + 17 + 102 + 10 + 68 - 34 = 180[/tex] [tex]214 - 34 = 180[/tex] [tex]180 = 180[/tex]

Therefore, x = 17.

Answer:

x=17

Reasoning:

The three interior angles of a triangle will always have a sum of 180°. Thus, you could make an algebraic equality with this information.

[tex]6x+x+4x+17+10-34=180[/tex]

[tex]11x-7=180[/tex]

[tex]11x=187[/tex]

[tex]\frac{11x}{11} =\frac{187}{11}[/tex]

[tex]x=17[/tex]

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