The cost of 4 pounds of bananas is $3.52. What is the constant of proportionality that relates the cost of dollars, y, to the number of pounds of bananas, x?

Answer:

Average rate of change = 0.4

Step-by-step explanation:

Average rate of change of a function in the interval [a, b] is defined by the formula,

Rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

From the table attached,

Rate of change of the function in the interval 20 ≤ x ≤ 40 will be

= [tex]\frac{f(40)-f(20)}{40-20}[/tex]

= [tex]\frac{24-16}{40-20}[/tex]

= [tex]\frac{8}{20}[/tex]

= [tex]\frac{2}{5}[/tex]

= 0.4

Therefore, average rate change of the function in the given interval 20 ≤ x ≤ 40 is = 0.4

Answer

1 is 21 2 is 102 3 is 58 4 is 41 5 is 21 6 62

Step-by-step explanation:

pls mark brainliest

Answer:

7. 21

8. 102

9. 58

10. 41

11. 21

12. 62

Step-by-step explanation:

Answer:

w =2.5

Step-by-step explanation:

the area of the triangle is 6*5 divided by half which is 15. this means that the area of the rectangle is also 15. so to find the value of the width we have to divide the area by the known value to get our answer. 15/6 is equal to 2.5 so that's what the value of w is.

Answer:

23

Step-by-step explanation:

51+(2x+3)=100

54+2x=100

-54         -54

2x=46

x=23

Answer: [0,+infiniti)

Step-by-step explanation:

Answer:

6cm

Step-by-step explanation:

volume of a cubical wooden block

= 12×12×12

= 1728

volume of cubical pieces

= 1728÷8

= 216

length of edge of piece

= square root of 216

= 6cm

Answer:

a -  neither b - perpendicular

Step-by-step explanation:

put them in desmos and look at the lines

Answer:

21

Step-by-step explanation:

168 divided by 8

Answer:

This is an percentage question, meaning you have to calculate the percentage rise.

1) Do 147 * 17.9% (Which equals to 26.3 [1.d.p.])

2) 26.3 is the answer

Hope it helps! :D

Answer:

Step-by-step explanation:

Well, the linear equation of a line is:

y=mx+b

Where  

m

is the slope and  

b

is your y-intercept

So, you can just plug the numbers into the equation

m = − 3

and  

b = − 2

y = − 3x-2

Answer:

y=3x+8

Step-by-step explanation:

y-4=3x+5y

+4       +4

y=3x+5y+4

-5y    -5y

-4y=3x+4

+4       +4

y=3x+8

Answer:

its A.!!!!

Step-by-step explanation:

Answer:

75√2

Step-by-step explanation:

The triangle is isosceles right angled.

y² = 75² + 75² = 2(75²)

y = 75√2

Answer:

$3,333.33 a month

$1,538.46 biweekly

$769.23 weekly

Step-by-step explanation:

40,000/12

40,000/26

40,000/52

Answer:

Division!

40000

40,000 ÷ 12 = 3,333.33 monthly

40,000 ÷ 26 = 1538.46 biweekly

40,000 ÷ 54 = 769.23 weekly

Brainliest appreciated

Answer:

75 years.

Step-by-step explanation:

Divide 150 by 2, that gives you the years.

Answer:

50 miles

Step-by-step explanation:

If one inch is 20 miles do 2 times 20 you get 40. it’s .5 so half and half of 20 is ten, add it up and you get 50.

Answer:

50 miles

Step-by-step explanation:

Answer:

1.5 miles

Step-by-step explanation:

Since Joan need to run 5 miles without stopping and already runs 3.5 miles without stopping, the number of miles more she must run non-stop to achieve her goal of 5 miles without stopping is the difference between her 5 mile goal and her current run of 3.5 miles.

So, number of miles she must run = 5 miles - 3.5 miles = 1.5 miles.

So, Joan must run 1.5 miles more non-stop to achieve her goal.

Answer:

[tex]f(x)=(x-1)^{2}+6[/tex]

Step-by-step explanation:

First, subtract 7 from each side.

[tex]-7=x^{2} -2x[/tex]

Now, add in a blank on each side so you can write in your new term that will complete the square. We'll call that term 's' for now.

[tex]-7+s=x^{2} -2x+ s[/tex]

The next step is to take half of the b term, and then square that. In this case, half of '[tex]-2[/tex]' is [tex]-1[/tex]. If we square that we get [tex]1[/tex]. So that is the term we will put in for [tex]s[/tex].

[tex]-7+1=x^{2} -2x+1[/tex]

Simplify:

[tex]-6=x^{2} -2x+1[/tex]

If you look at the right side of the equation, we can factor. That's because we completed the square. We can use the 'guess and check' method to factor. Remember, this is where we use 2 sets of parentheses and fill in the blanks.

[tex]-6=(x-1)(x-1)[/tex]

If we were to FOIL the right side we would end up with [tex]x^{2} -2x+1[/tex].  

Since we have 2 '(x-1)' terms next to each other, we can simplify to:

[tex]-6=(x-1)^{2}[/tex]

Now, all we need to do is add 6 to both sides and we have the vertex form.

[tex]f(x)=(x-1)^{2}+6[/tex]

I hope this helps!

Answer:

P₂  = [tex]\frac{P_{1} V_{1} }{V_{2} }[/tex]  

Step-by-step explanation:

Given expression:

     Boyle's law:

             P₁ V₁   = P₂ V₂

Problem is to find P₂;

Solution:

              P₁ V₁   = P₂ V₂

 To solve this problem, multiply both sides by [tex]\frac{1}{V_{2} }[/tex];

   P₁ V₁  x   [tex]\frac{1}{V_{2} }[/tex]; = P₂ V₂  x  [tex]\frac{1}{V_{2} }[/tex];

     [tex]\frac{1}{V_{2} }[/tex] cancels out V₂ on the right hand side;

              P₂  = [tex]\frac{P_{1} V_{1} }{V_{2} }[/tex]  

Answer:

wait what grade are you in ?

Answer:

y=2/3

y=4

x=1

Step-by-step explanation:

y=2/3

y=x+3

x= -2x+3

x+2x=3

3x=3

x=3/3

x=1

The solution to the system of equations is y=2/3 and x=1.

We have given that,

y = A system of equations. y equals StartFraction 2 over 3 EndFraction x plus 3.

x equals negative 2.

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

y=2/3

y=x+3

x= -2x+3

x+2x=3

3x=3

x=3/3

x=1

The solution to the system of equations is y=2/3 and x=1.

To learn more about the solution system visit:

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9514 1404 393

Answer:

  A) d/900 +14 +d/540 = 16

  B) 675 feet

Step-by-step explanation:

A) The times are all given in minutes, so it is convenient to use units of feet and minutes in this problem. There are 60 seconds in a minute, so the bee's speeds can be rewritten as ...

  15 ft/s = (15 ft/s)(60 s/min) = 900 ft/min

  9 ft/s = (9 ft/s)(60 s/min) = 540 ft/min

We know that time is the ratio of distance to speed, so for distance d, we have a total time of ...

  d/900 +14 +d/540 = 16

B) To solve the equation, we can subtract 14, then combine the fractions. Here, we choose to combine the fractions in a straightforward way, not being too concerned about "least common denominator." We use the formula ...

  a/b + c/d = (ad +bc)/(bd)

  (540d +900d)/(900·540) = 2 . . . . subtract 14, combine fractions

  d = 2(900)(540)/(1440) = 675

The flowerbed is 675 feet from the hive.

Answer:

Nothing :(

Step-by-step explanation:

No money :(

Answer:

Step-by-step explanation:

Black Friday is an informal name for the Friday following Thanksgiving Day in the United States, which is celebrated on the fourth Thursday of November. ... Many stores offer highly promoted sales on Black Friday and open very early, such as at midnight, or may even start their sales at some time on Thanksgiving.

Answer:

b(8b+7)

trust meeeeeee

Answer:

53

Step-by-step explanation:

5 choices × 5 choices × 5 choices = 53 possible 3 digit codes including repeats

 [tex]\boldsymbol{125}[/tex] unique [tex]3[/tex] digit codes can be created from the [tex]5[/tex] digits.

Given that digits are [tex]=\boldsymbol{\{1,2,3,4,5 \}}[/tex].

Number of digits [tex]=\boldsymbol{5}[/tex]

With repetition" means that repetition is allowed. Thus, in each of the three places, we have five choices.

Therefore,

Number of unique three digit codes can be created from the five digits [tex]=5\times 5\times 5[/tex]

[tex]=\boldsymbol{125}[/tex]

So, [tex]\boldsymbol{125}[/tex] unique [tex]3[/tex] digit codes can be created from the [tex]5[/tex] digits.

Find out more information about permutations here:

https://brainly.com/question/26852614?referrer=searchResults

Answer:

m=0

Step-by-step explanation:

8-8

0--2

0

2

0

The slope of the line that passes through points; -2,8 and 0,8 is; 0.

The slope of the lines that passes through the given points is required.

Hence, it follows that;

Slope, m = (8 - 8)/(0-(-2))

Slope= 0/2 = 0.

Read more on slope of a line;

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Step-by-step explanation:

c is greatest angle

where as b is smallest