The local market is selling fresh fruit in baskets. The weights and amounts charged are shown below. For fruit weighing greater than or equal to 0.01 pounds and less than or equal to 0.5 pounds, the amount charged is $2.00. For fruit weighing greater than 0.5 pounds and less than or equal to 1.0 pounds, the amount charged is $3.50. For fruit weighing greater than 1.0 pounds and less than or equal to 1.5 pounds, the amount charged is $5.00. For fruit weighing greater than 1.5 pounds and less than or equal to 2.0 pounds, the amount charged is $6.50. For fruit weighing greater than 2.0 pounds and less than or equal to 2.5 pounds, the amount charged is $8.00. Which graph represents the function described?

Answers

Answer 1

Answer:

The graph is shown below.

Step-by-step explanation:

Let x be the weight of fruit in pounds and P(x) be the price of fruit.

For fruit weighing greater than or equal to 0.01 pounds and less than or equal to 0.5 pounds, the amount charged is $2.00.

P(x) = $2.00 for 0.01 ≤ x ≤ 0.5

For fruit weighing greater than 0.5 pounds and less than or equal to 1.0 pounds, the amount charged is $3.50.

P(x) = $3.50 for 0.5 < x ≤ 1.0

For fruit weighing greater than 1.0 pounds and less than or equal to 1.5 pounds, the amount charged is $5.00.

P(x) = $5.00 for 1.0 < x ≤ 1.5

For fruit weighing greater than 1.5 pounds and less than or equal to 2.0 pounds, the amount charged is $6.50.

P(x) = $6.50 for 1.5 < x ≤ 2.0

For fruit weighing greater than 2.0 pounds and less than or equal to 2.5 pounds, the amount charged is $8.00.

P(x) = $8.00 for 2.0 < x ≤ 2.5

It is a piecewise floor function. We have open circle on left side of each floor except first floor because the sign of inequality in all other is < .

We have closed circle on right side of each floor because the sign of inequality is ≤ .

The graph is shown below.

The Local Market Is Selling Fresh Fruit In Baskets. The Weights And Amounts Charged Are Shown Below.

Related Questions

Ms. Blankenship had $80 to purchase school supplies for her class. She bought 32 glue sticks and 32 boxes of crayons. Each glue stick cost $1.40, and each box of crayons cost $0.59. How much money did Ms. Blankenship have left after these purchases?

Answers

Answer:

$16.32

Step-by-step explanation:

1. Ms. Blankenship bought 32 glue sticks each for  $1.40, then she spent

[tex]\$1.40\cdot 32=\$44.80[/tex]

for all sticks.

2. Ms. Blankenship bought 32 boxes each for  $0.59, then she spent

[tex]\$0.59\cdot 32=\$18.88[/tex]

for all boxes.

3. Together 32 glue sticks and 32 boxes cost

[tex]\$44.80+\$18.88=\$63.68.[/tex]

4. If Ms. Blankenship had $80, then she had left

[tex]\$80-\$63.68=\$16.32.[/tex]

PLS HELP ASAP
Which equation represents a proportional relationship?


y=32x

y=−2x

y = 4x + 3

y=2(x+1)

Answers

The proportional relationship:

y = ax for a > 0.

Therefore your answer is:

y = 32x

PRE CALC PLEASE HELP!!!
Topic: Rational Functions

If f(x)=2x^3-bx^2+cx+12, Were b and c integers, list all possible rational roots of f(x)

Answers

Answer: [tex]\bold{\pm \{1, 2, 3, 4, 6, 12, \dfrac{1}{2}, \dfrac{3}{2}\}}[/tex]

Step-by-step explanation:

        Q                       P

f(x) = 2x³ - bx² + cx + 12

Possible rational roots are all of the factors of P divided by all of the factors of Q, including both positive and negative signs.

[tex]\quad \pm \dfrac{\text{factors of P}}{\text{factors of Q}}\\\\=\pm \dfrac{\text{factors of 12}}{\text{factors of 2}}\\\\=\pm \dfrac{1,2,3,4,6,12}{1,2}\\\\=\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm \dfrac{1}{2}, \pm \dfrac{3}{2}\\[/tex]

What is the 33rd term of this arithmetic sequence? 7, 17, 27, 37,47

Answers

Answer:

327 FOR A FACTTTTT

Step-by-step explanation:


Answer:

the answer would be 327

Step-by-step explanation:

hope this helps :)

Find the area of this trapezoid. Be sure to include the correct unit in your answer.

Answers

Answer:

the area of this trapezoid= 81 square inches

Step-by-step explanation:

To find area of trapezoid , we use formula

[tex]Area = \frac{a+b}{2} * h[/tex]

Where a,b are the base of the trapezoid

h is the height of the trapezoid

Here a= 3 in

b = 15 in

h = 9 in

Plug in all the values in the formula

[tex]Area = \frac{a+b}{2} * h[/tex]

[tex]Area = \frac{3+15}{2} * 9[/tex]

[tex]Area = \frac{18}{2} * 9[/tex]

Area = 9 * 9 = 81

the area of this trapezoid= 81 square inches


What decimal is represented by this expanded form?

5×10,000+3×1,000+2×10+8×1+ 6×1/100+4×1/1,000

Answers

Answer:

53028.064 I think

Step-by-step explanation:


Algebra 2. Help!

Which grows faster as x increases, x3 or 3x? Explain.

Answers

As x increases, x^3 grows faster than 3x.

As x increases, the growth rate of x^3 (x cubed) is faster than that of 3x. This can be explained by comparing their respective derivatives.

The derivative of x^3 with respect to x is 3x^2, while the derivative of 3x is simply 3.

The derivative represents the rate of change, or the slope of the function at a given point. In the case of x^3, its derivative 3x^2 grows at a faster rate than the derivative of 3x, which is a constant (3).

This means that as x increases, the rate of change of x^3 (3x^2) increases faster compared to the rate of change of 3x (which is constant at 3). In other words, x^3 exhibits exponential growth, while 3x exhibits linear growth. So, as x increases, x^3 grows faster than 3x.

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five more then -8 times a number is 29. What is the number? Let the mystery number be represented by n.

Answers

Answer:

The mystery number is -3

Step-by-step explanation:

five more then -8 times a number is 29.

-8n +5 = 29

Subtract 5 from both sides

-8n +5-5 = 29-5

-8n = 24

Divide by -8 on each side

-8n/-8 = 24/-8

n= -3

The mystery number is -3

The mystery number in the equation is -3, determined by solving the algebraic equation 5 + (-8 × n) = 29.

The equation given in the problem statement translates to the mathematical expression 5 + (-8 × n) = 29, where n is the mystery number. To find the value of n, we can perform the following steps:

Subtract 5 from both sides to get -8n = 24.

Divide both sides by -8 to isolate n, giving us n = 24 / -8.

Calculate the result to find that n = -3.

Therefore, the mystery number is -3.

write an equation of a line that passes through (3,0) and (6,-3) in slope intercept and point slope form

Answers

The point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (3, 0) and (6, -3). Substitute:

[tex]m=\dfrac{-3-0}{6-3}=\dfrac{-3}{3}=-1[/tex]

The point-slope form:

[tex]y-(-3)=-1(x-6)\\\\\boxed{y+3=-(x-6)}[/tex]

or

[tex]y-0=-1(x-3)\\\\\boxed{y=-(x-3)}[/tex]

The slope-intercept form:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

From the second point-slope form we have slope-intercept form:

[tex]y=-(x-3)\\\\y=-x-(-3)\\\\\boxed{y=-x+3}[/tex]

What is 4:2 the same as

Answers

Answer:

4:2 is the same as:

2:1

8:4

or anything that is proportional to 4:2

Step-by-step explanation:

A proportion is anything that corresponds in size or amount to something else.

Answer:

2:1

Step-by-step explanation:

just reduce the ratio b and divivd bith sides by 2

a student phototcopies a drawing without realizing tht the copier is set to enlarge the image by 15%. if the height of the actual drawing is 4.25 inches, approximately how tall is the phototcopied drawing?

Answers

If an image is being enlarged by 15% you would take the base number multiply it by the percent in decimal form and add the result to the base number.

4.25*0.15=0.6275

0.6375+4.25=4.8875

Answer: 4.8875

Final answer:

To find out the height of the photocopied drawing, we first calculate 15% of the original height (4.25 inches) and add this to the original height. The photocopied drawing is approximately 4.89 inches tall.

Explanation:

The student photocopied a drawing with the copier set to enlarge the image by 15%. If the original drawing is 4.25 inches tall, the enlarged photocopied drawing would be larger by 15% of 4.25 inches.

Firstly, to find 15% of 4.25 inches, you multiply 4.25 by 0.15 (the decimal equivalent of 15%), which equals 0.6375 inches.

 

Adding this to the original height of the drawing, we get 4.25 inches + 0.6375 inches = 4.8875 inches, which is approximately 4.89 inches when rounded to two decimal places.

So, the photocopied drawing is approximately 4.89 inches tall.

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Use the drop-down menus to identify the values of the parabola

Answers

Answer:

What drop down menues??????????????????????

Step-by-step explanation:


Answer:

options?

Step-by-step explanation:

a used automobile dealership recently reduced the price of a used compact car by 10 % if the price of the car before discount was $33500 find the discount and the new price

Answers

Answer: The new price is $3350.


Answer:

$3350; $30 150  

Step-by-step explanation:

Original price = $33 500

Discount = 33 500 × 10 %

Discount = 33 500 × 0.10

Discount = $3350

New price = Original price - Discount

New price = 33 500 - 3350

New price = $30 150

What is the eighth term in the arithmetic sequence defined by the explicit formula an=2n+7? Enter your answer in the box.

Answers

Answer:

The 8th term is 23

Step-by-step explanation:

If we are given the formula for the sequence

an=2n+7,

then to find the 8th term we substitute n=8 into the formula.

a8 = 2(8) +7

a8 = 16+7

a8 = 23

The 8th term is 23

Which steps should be used to compare the fractions 2/9 and 5/6

Answers

Answer: you need to get a common denominator.. once you have a common denominator, you can compare numerators to see what is larger..

Step-by-step explanation:

to get the common denominator, you would first see what this would be.. in this case 18, as that's the lowest.  then, you would multiply each fraction by 2/2 for first and 3/3 for second, which are just funky looking ones.  therefore, D is the correct answer.


Answer:It is C

Step-by-step explanation:In the question it says to COMPARE the fraction.

Hope it helps    !!!!! PLZ MARK ME BRAINLIEST!!!!!

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:think as it as coordinates on a graph. Time=x Amount=y. So if the time is 0 and the amount is 60 you would graph a point on (0,60)


Step-by-step explanation:


What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4x + y - 2 = 0?

answers:
4x - y = 13
4x + y = 13
4x + y = -13

Answers

Answer:

The equation of this line would be 4x + y = 13

Step-by-step explanation:

In order to find this equation we must first find the slope of the original line. To do this, we solve the original equation for y.

4x + y - 2 = 0

4x + y = 2

y = -4x + 2

The original slope (the coefficient of x) is -4, which means the new slope will also be -4 because parallel lines have the same slope. Now, we can use this slope along with the point in point-slope form to find the equation of the line. Just plug in the numbers and solve for the coefficient.

y - y1 = m(x - x1)

y + 3 = -4(x - 4)

y + 3 = -4x + 16

4x + y + 3 = 16

4x + y = 13

If a person draws 2 cards at random from a standard deck of 52 cards, what is the probability that they get 2 aces?

Answers

Answer:4/52=1/13

Step-by-step explanation:

The deck has 52 cards and contains 4 aces. When you draw a card, the probability of drawing an ace is 4/52=1/13

the sum of two numbers is 53. their difference is 17. Find the numbers.

Answers

Answer: the two numbers is 35 and 18


Step-by-step explanation: 35+18=53 35-18=17

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Final answer:

The two numbers are 35 and 18. We found these by solving the simultaneous equations x + y = 53 and x - y = 17, representing their sum and difference.

Explanation:

Finding Two Numbers Given Their Sum and Difference

Let's denote the two unknown numbers as x and y. According to the conditions given:

x + y = 53 (Equation 1: The sum of the two numbers)

x - y = 17 (Equation 2: The difference of the two numbers)

We can solve these two simultaneous equations to find the values of x and y.

Add the two equations:

(x + y) + (x - y) = 53 + 17

2x = 70

x = 35

Substitute x in Equation 1:

35 + y = 53

y = 53 - 35

y = 18

Therefore, the two numbers are 35 and 18.

The percent change of 40;50

Answers

Answer:

25%  

Step-by-step explanation:

Change = Final - initial

% Change =(Final - Initial)/Initial × 100%

% Change = (50 - 40)/40 × 100%

% Change = 10/40 × 100%

% Change = 25%

Answer:

25%

Step-by-step explanation:

1) Find the difference of the two numbers, do (Largest Number)-(Smallest Number).

2) Use your difference as a fraction. Use the difference over the initial value.

3) Create a proportion

10/40 = x/100

4) Cross multiply, 10*100 = 200, 40*p = 40p

5) Simplify expression 1,000=40p

6) Solve, 1,000/40 = 25

7) Put it as a fraction, 25/100

8) Make it a percent 25%

pleasee answer the question in the picture

Answers

Answer:

a (5,2)

Step-by-step explanation:

To get to the smiley face, we move 5 units in the x direction from the origin, then we move 2 units up in the y direction  (x,y)  so the point is at (5,

please help me, PLEASE!!!!!!

Tell wheather the sequence is arithmetic. If it is , what is the common difference? -12,-7,-2,3.......

A yes ;5
B yes ;8
C yes :3
D no

Answers

Answer:

C

Step-by-step explanation:

To find whether it is a arithmetic or geometric sequence it is easiest to try to subtract term a2 from a1, seeing if d or r is positive. If that does not heed an answer try dividing a2 by a1 to see if it is a geometric sequence.

The terms go as follows just in case (They would normally be in subscripts)-

a1= -12

a2= -7

a3= -2

a4= 3

Answer: Yes; 5 (choice A)

We add 5 to each term to get the next

-12+5 = -7

-7+5 = -2

-2+5 = 3

and so on. The nth term formula is

an = -12 + 5(n-1)

If you were to plug in n = 1, 2, 3, ... then it should generate the terms shown

Find the x-intercepts (solve for x) for the following AND PLEASE SHOW YOUR WORK! y=−2x^2−9x+5

Answers

Answer:

see explanation

Step-by-step explanation:

To find the x- intercepts set y = 0, that is

- 2x² - 9x + 5 = 0

To factorise the quadratic consider the factors of the product of the coefficient of the x² term and the constant term that sum to give the coefficient of the x- term.

product = - 2 × 5 = - 10 and sum = - 9

The factors are - 10 and + 1

Use these factors to split the middle term

- 2x² - 10x + x + 5 = 0 ( factor the first/second and third/fourth terms )

- 2x(x + 5) + 1(x + 5) ( factor out (x + 5) )

(x + 5)(- 2x + 1) = 0

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

- 2x + 1 = 0 ⇒ x = [tex]\frac{1}{2}[/tex]

x-intercepts are x = - 5 and x = [tex]\frac{1}{2}[/tex]



Solve 100 divided by 5 x 4 + 4³

Answers

Answer:

144

Step-by-step explanation:

4 x 4 x 4 = 64

100/5 = 20

20 x 4= 80

80 + 64 =144

Answer:

100 /( 5 x 4 + 4³) = 1 4/21  

100 / 5 x 4 + 4³ = 144

Step-by-step explanation:

100 /( 5 x 4 + 4³)

PEMDAS tells us to do what is inside the parenthses

We will do the power in side the parentheses first  4^3 = 64

100 /( 5 x 4 + 64)

Now we will multiply

100/(20+64)

Now we add inside the parentheses

100/84

Divide the top and bottom by 4

25/21

Changing from an improper fraction to a mixed number

1 4/21

OR  

100 / 5 x 4 + 4³

If the quantity is not in parentheses

We will do the power  first  4^3 = 64

100 / 5 x 4 + 64

Then we do the multiplication and division from left to right

20 *4+64

80+64

144

Selling price is $70.00. Rate of the sales tax is 60%. That is the sales tax?

Answers

Net Amount (excluding tax) : $70.00
Tax (60.0%) : $42.00
Gross Amount (including tax) : $112.00

Math:
[tex]70.00 \times .60 = 42[/tex]
[tex]70.00 + 42.00 = 112.00[/tex]

The sales tax would be $42.00, making the total cost $112.00.

To calculate the sales tax on an item, one must first convert the sales tax rate from a percentage to a decimal. Converting 60% to a decimal by dividing by 100 gives us 0.60.

Then, multiply this decimal by the selling price to find the amount of sales tax.

Amount of sales tax = price x rate of sales tax

So for a selling price of $70.00, the sales tax would be calculated as follows:

= $70.00 x 0.60 = $42.00

The sales tax on a $70.00 item at a rate of 60% is $42.00.

To find the total cost, one must add this tax to the original selling price.

Total cost = selling price + sales tax

Total cost = $70.00 + $42.00

Total cost = $112.00

Thus, the total amount paid including sales tax would be $112.00.

Question 1(Multiple Choice Worth 1 points) (02.06 MC) Charles wants to determine which car is the fastest. The actual speed of four cars is shown below: Car A B C D Speed (in km/h) 60.34 60.32 60.33 60.35 If the speedometer can only measure to the nearest tenth of a second, which car will have a different measurement?

Answers

Answer:

Car D will have a different measurement because the 60.35 would round up to be 60.31 where all the other would round down and remain at 60.30

Step-by-step explanation:


Write the equation of a line that is perpendicular to the given line and that passes through the given point.
y-3=-1/5(x+2);(-2,7)

Answers

The point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

We have the line

[tex]y-3=-\dfrac{1}{5}(x+2)\to m=-\dfrac{1}{5}[/tex]

If m₁ and m₂ are the slopes of the perpendicular lines, then

[tex]m_1m_2=-1\to m_2=-\dfrac{1}{m_1}[/tex]

Therefore the slope of ouer line is

[tex]m=-\dfrac{1}{-\frac{1}{5}}=5[/tex]

We have the point (-2, 7). Put the coordinates to the equation of a line in the point-slope form:

[tex]y-7=5(x-(-2))[/tex]

[tex]y-7=5(x+2)[/tex]      use the distributive property

[tex]y-7=(5)(x)+(5)(2)[/tex]

[tex]y-7=5x+10[/tex]       add 7 to both sides

[tex]\boxed{y=5x+17}[/tex]

Determine the next three terms in the following sequence: 2, 3, 5, 8, ____, ____, ____,... a. 13, 19, 26 b. 12, 17, 23 c. 12, 16, 20 d. 13, 17, 23 Please select the best answer from the choices provided A B C D

Answers

Answer:

B. 12,17,23

Step-by-step explanation:

2,3,5,8, _,_,_

2,3 is increased by 1

3,5 is increased by 2

5,8 is increased by 3.  theres our pattern, each time it increases it follows the next number so the next 3 numbers it would be increased by is. 4,5,6.

Now knowing it is 4,5,6 we need to add, start adding.

8+4=12. Which answers have 12 in them? B and C.

We know 12 is the next number, now we add 5 to that.

12+5=17.

B has 17 but C doesn't, so that tells you its most likely going to be B. To make sure add 6 to 17.

17+6=23. Its true that it is B, as B is 12.17.23.

Final answer:

The next three terms in the sequence are 13, 21, and 34.

Explanation:

The given sequence is 2, 3, 5, 8.

To find the next three terms in the sequence, we need to determine the pattern.

By observing the sequence, we can see that each term is obtained by adding the two previous terms.

For example,

3 = 2 + 1,

5 = 3 + 2, and

8 = 5 + 3.

Using this pattern, the next term would be obtained by adding 8 + 5, -

8 + 5 = 13

The two terms after that would be

13 + 8 = 21 and

21 + 13 = 34.

Therefore, the next three terms in the sequence are 13, 21, and 34.

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show that the points p(7,12) and q(-3,-12) and r (14,5) lie on a circle with center c(2,0)

Answers

If the points P (7, 12), Q (-3, -12) and R (14, 5) lie on a circle with the center C (0, 2), then the distance OP, OQ and OR are the same.

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute:

[tex]OP=\sqrt{(2-7)^2+(0-12)^2}=\sqrt{(-5)^2+(-12)^2}=\sqrt{25+144}=\sqrt{169}\\\\\boxed{OP=13}\\\\OQ=\sqrt{(2-(-3))^2+(0-(-12))^2}=\sqrt{5^2+12^2}=\sqrt{25+144}=\sqrt{169}\\\\\boxed{OQ=13}\\\\OR=\sqrt{(2-14)^2+(0-5)^2}=\sqrt{(-12)^2+(-5)^2}=\sqrt{144+25}=\sqrt{169}\\\\\boxed{OR=13}[/tex]

OP = OQ = OR, therefore the points P, Q and R lie on one circle.

How do you convert a fraction to a decimal? Say, [tex]\frac{2}{5}[/tex] ?

Answers

Answer:

you divide the top number by the bottom number

Step-by-step explanation:

2/5 = 0.4

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From 6x^27xy+8y^2 subtract the sum of x^23xyy^2 and 2x^2+5xy4y^2 Is the success of the KIPP academy based solely on the extended school day and year? Cite evidance from the essay to support your conclusion? The total cost, including shipping, for ordering five uniforms is $61. The total cost, including shipping, for ordering nine uniforms is $ 105. find the slope. A consumer ________ study seeks to break down a population of individuals into smaller subgroups where individuals in a specific subgroup are similar to each other in terms of important characteristics and possess characteristics different from individuals in other groups. insights response reduction segmentation Which of the following is a characteristic of the Industrial Revolution?A.People began to rely on reason rather than religion to explain natural phenomena.B.People began to question the authority of monarchs and emphasized individualism.C.People began to exchange goods and ideas among vastly different cultures.D.People began to use advanced machinery to replace human labor at many jobs. Why would a Senator use a filibuster? A.to end debate B.to stall or prevent voting on a bill in question C.to stop a Senator from talking for as long as he or she wants D.to convince others to vote in favor of a bill How many calories does someone burn playing basketball for an hour? in the drawing of triangle XYZ, which angle has the least measure? Although a number of things brought about world war 1, there was one event that pushed Europe over the edge what was that event? Steam Workshop Downloader