A store manager ordered 28 crates of mangoes.There were 36 mangoes in each crate.WHEN the mangoes were delivered, he sold the ripe mangoes and repacked the rest equally into 73 boxes.There were 12 mangoes in each box.How many ripe mangoes were sold?

Answers

Answer 1

Answer:

Number of ripe mangoes were sold as 132

Step-by-step explanation:

Let's assume number of rip mangoes were sold as 'x'

A store manager ordered 28 crates of mangoes

Number of crates =28

There were 36 mangoes in each crate

Number of mangoes in each crate=36

Total number of mangoes=( Number of crates)*(Number of mangoes in each crate)

Total number of mangoes is

[tex]=28\times 36[/tex]

[tex]=1008[/tex]

WHEN the mangoes were delivered

he sold the ripe mangoes and repacked the rest equally into 73 boxes

There were 12 mangoes in each box

Total number of mangoes is

[tex]=73\times 12+x[/tex]

[tex]=876+x[/tex]

now, we can set them equal

[tex]1008=876+x[/tex]

[tex]x=132[/tex]

Answer 2

To find the number of ripe mangoes sold, multiply the number of crates by the number of mangoes in each crate. Then, multiply the number of boxes by the number of mangoes in each box. Finally, subtract the number of mangoes repacked into boxes from the total number of mangoes delivered.

To find the number of ripe mangoes sold, we need to determine the total number of mangoes delivered and then subtract the number of mangoes repacked into boxes.

First, we find the total number of mangoes delivered by multiplying the number of crates (28) by the number of mangoes in each crate (36): 28 crates * 36 mangoes/crate = 1008 mangoes

Next, we find the number of mangoes repacked into boxes by multiplying the number of boxes (73) by the number of mangoes in each box (12): 73 boxes * 12 mangoes/box = 876 mangoes

Finally, we subtract the number of mangoes repacked into boxes from the total number of mangoes delivered to find the number of ripe mangoes sold: 1008 mangoes - 876 mangoes = 132 ripe mangoes

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Related Questions

Please help me simplify this! I have no idea how to solve this question! Thank you if you do!

Answers

you go it right it's the first one

Consider the scatter plot.


Consider the scatter plot. The line of best fit is



The line of best fit is y = 0.75x + 5.



Choose the best representation for the y-intercept.



The y-intercept of the line of best fit shows that when time started, the distance was 0.75 feet.

The y-intercept of the line of best fit shows that after 0.75 minutes, the distance was 5 feet.

The y-intercept of the line of best fit shows that when time started, the distance was 5 feet.

The y-intercept of the line of best fit shows that when time started, the distance was 0 feet.

Answers

Answer:

The correct answer option is: The y-intercept of the line of best fit shows that when time started, the distance was 5 feet.

Step-by-step explanation:

We are given a scatter plot with a best fit line as shown on the given graph.

The equation of the best fit line is given by:

y = 0.75x + 5

So with the help of the equation and by looking at the given graph, we can conclude about the representation of the y intercept that the the y-intercept of the line of best fit shows that when time started, the distance was 5 feet.

Since the distance shown on the y axis is already 5 when the time started at 0 minutes.

Graphs of Polynomial Functions Gizmo

5 Answer Review


1. What are the degree and leading coefficient of the function y=4x2-3x+7?


A. degree=4 leading coefficient=2

B. degree=2 leading coefficient=4

C. degree=2 leading coefficient=7

D. degree=3 leading coefficient=4


2. What is the lowest degree of the function graphed here? (image is attached to this)


A. 1

B. 2

C. 3

D. 4


3. what is the maximum of x-intercepts that can be found on a graph with equation y=ax5+cx2+f? (the values a, c, and f are real numbers)


A. 2

B. 3

C. 4

D. 5


4. Which polynomial function has a y-intercept of 3?


A. y=2x4+x2-3

B. y=3x2+4

C. y=-4x7-5x+3

D. y=9x3+3x2


5. What is the end behavior of y=-2x13+25x8-3 as x approaches infinity?


a. y=-3

b. y=13

c. y approaches infinity

d. y approaches negative infinity

Answers

Answer:

 degree=2 leading coefficient=4

lowest degree = 3

maximum of 5 x-intercepts

[tex]y=-4x^7-5x+3[/tex] has y intecept 3

y approaches negative infinity

Step-by-step explanation:

(1) [tex]y=4x^2-3x+7[/tex]

Highest exponent is the degree of the function

Highest exponent =2  so degree =2

Coefficient of x^2 is 4, so leading coefficient is 4

(2) from the graph we can see that

As x approaches infinity, the graph goes down

As x approaches -infinity, the graph goes up

The value of y goes on the opposite direction. So it is a odd degree function. If degree =1  then the graph should be a line

Here the graph is like a curve. Also we have 2 x  intercepts . Hence lowest possible degree of the function is 3

(3) y=ax^5+cx^2+f

Here , the degree of the equation is 5

So we will get maximum of 5 x-intercepts

(4) To find the function that has y intercept of 3, we plug in 0 for x in each function

[tex]y=-4x^7-5x+3[/tex]

[tex]y=-4(0)^7-5(0)+3= 3[/tex]

[tex]y=-4x^7-5x+3[/tex] has y intecept 3

(5) [tex]y=-2x^{13}+25x^8-3[/tex]

Here degree is 13 that is odd  and leading coefficient is -2 ( negative)

Degree is odd and leading coefficient is negative so the graph of y goes down on the right side.

the graph of y approaches negative infinity when x approaches infinity

Final answer:

The degree and leading coefficient of the polynomial function y=4x2-3x+7 are 2 and 4 respectively. The maximum of x-intercepts for a polynomial graph y=ax5+cx2+f is 5. The polynomial function y=-4x7-5x+3 has a y-intercept of 3 and as x approaches infinity in the function y=-2x13+25x8-3, y approaches negative infinity.

Explanation:

1. The degree of the function y=4x2-3x+7 is 2 and the leading coefficient is 4. Therefore B. degree=2 leading coefficient=4 is correct.

2. As the image of the function graphed is not provided, it is impossible to definitively say what the lowest degree of the function is.

3. The maximum number of x-intercepts that can be found on a graph with the equation y=ax5+cx2+f is 5, matching the degree of the polynomial, so D. 5 is correct.

4. The polynomial function y=-4x7-5x+3 has a y-intercept of 3, therefore C. y=-4x7-5x+3 is correct.

5. Since the polynomial y=-2x13+25x8-3 has an odd degree and the leading coefficient is negative, as x approaches infinity, y approaches negative infinity. Therefore D. y approaches negative infinity is correct.

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Blueberries are on sale for $2.80 per pint. The regular price is $3.50 per pint. What is the percent of decrease? Select from the drop-down menu to correctly complete the statement.

0.2
0.25
0.7
20
25
70

Answers

the answer is 0.7
enjoy brainy
homepage10

Answer:

it is 20% can you mark me brainless

Step-by-step explanation:

Lanette drove 248 miles in 4 hours. At the rate, how many hours will it take her to drive a additional 93miles.

Answers

Answer:

1.5 hours

Step-by-step explanation:

using the relationship between distance/ speed / time

distance = speed × time

speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{248}{4}[/tex] = 62 mph

travelling at this rate then

time = [tex]\frac{distance}{speed}[/tex] = [tex]\frac{93}{62}[/tex] = 1.5 hours


Janine is packing carrots. Each large box holds 20 2-pound bags of carrots. If Janine has 800 bags of carrots, how many boxes can she fill?

Answers

Answer: 40 Boxes

Step-by-step explanation: All you need to do is divide 800 by 20.



Answer:

40

Step-by-step explanation:

What is the end behavior of [tex]f(x)=-x^6+2[/tex] ?

Answers

Answer:

A. As x→-∞ f(x) →-∞  and as x→∞ f(x) →-∞

Step-by-step explanation:

f(x) = -x^6 +2

As the numbers get very large, the 2 doesn't matter

Let x go to - ∞

f(-∞) = - (- ∞)^6

Anything to an even power is positive

f(-∞) = - ∞

As x →-∞   f(x) →-∞

Let x go to  ∞

f(∞) = - ( ∞)^6

Anything to an even power is positive

f(∞) = - ∞

As x →∞   f(x) →-∞


The rectangle below has an area of x^2-11x+30x ​2 ​​ −11x+30x, start superscript, 2, end superscript, minus, 11, x, plus, 30 square meters and a length of x-5x−5x, minus, 5 meters. what expression represents the width of the rectangle?

Answers

Answer:

[tex](x-6)[/tex] meters

Step-by-step explanation:

We  have been given that the area of a rectangle is [tex]x^2-11x+30[/tex] square meters and a length of [tex](x-5)[/tex] meters.

Since the area of a rectangle is product of its width and length.

[tex]\text{Area of rectangle}=\text{Width of rectangle*Length of rectangle}[/tex]

We can find width of our rectangle by dividing area of rectangle by length of rectangle.

[tex]\text{Width of rectangle}=\frac{\text{Area of rectangle}}{\text{Length of rectangle}}[/tex]

Let us substitute our given values in above formula.

[tex]\text{Width of rectangle}=\frac{x^2-11x+30}{x-5}[/tex]

Let us factor out numerator by splitting the middle term.

[tex]\text{Width of rectangle}=\frac{x^2-6x-5x+30}{(x-5)}[/tex]

[tex]\text{Width of rectangle}=\frac{x(x-6)-5(x-6)}{(x-5)}[/tex]

[tex]\text{Width of rectangle}=\frac{(x-6)(x-5)}{(x-5)}[/tex]

Upon cancelling out x-5 from numerator and denominator we will get,

[tex]\text{Width of rectangle}=(x-6)[/tex]

Therefore, the expression [tex](x-6)[/tex] meters represents width of the rectangle.

Answer:

the answer is x - 6, have a nice day

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

(5 - 3i)(6 + 2i)


Multiply and simplify.

Answers

Answer:


Step-by-step explanation:

(5 - 3i)(6 + 2i)

30 + 10i - 18i - 6i²

i² = - 1

30 - 8i - 6 - (- 1)

30 - 8i + 6

- 8i + 36

36 - 8i


Alternative D


I hope I helped you.

Answer: D

Step-by-step explanation:

  (5 - 3i)(6 + 2i)

= 5(6 + 2i)  -3i(6 + 2i)

= 30 + 10i  -18i - 6i²

= 30 - 8i -6(-1)    because i² = -1

= 30 - 8i + 6

= 36 - 8i

IF YOU THINK YOUR SMART OR AT A HIGH RANK THEN ANSWER 3 QUESTIONS FOR ME....BTW I'LL GIVE YOU BRAINLIEST.


1. Ronald is making hats and scarves for charity. He has enough yarn to make 5 hats and 8 scarves. It takes him 12 hours to knit a hat and 6 hours to knit a scarf; he has 20 hours to knit.

Let x represent the number of hats made. Let y represent the number of scarves made.

Which inequalities are among the constraints for this situation?

Select each correct answer.

A) y≤8

B) 12x+6y≤20

C) x≤5

D) 5x+8y≤20

E) x+y≤20


2. Which ordered pairs lie on the graph of the exponential function f(x)=2^(x+4) −8?

Select each correct answer.


A) ​​ (−2,−4)
​ B) (2,  56) ​
​ C) (8,  0) ​ ​
​​ D) (24,  1) ​


3. The expression 15.85(1+x) gives the total cost of a toy, where x is the sales tax written in decimal form.

What does 1 + x represent in the expression?



A) percent of original price being paid in tax
B) cost of toy
C) percent of tax
D) amount of tax

Answers

Answer:

B, D, E- 12 per hat so 12x / 6 per scarf 6x

A -  Graph then find the order pair on the line

?


Problem 1

Answer: Choice A, Choice B, and choice C

---------

Explanation:

x = number of hats made,

12*x = total time to knit just hats (12 hrs to do 1 hat)

y = number of scarves made

6*y = total time to knit just scarves (6 hrs to do 1 scarf)

In total, it takes 12x+6y hours to knit everything (scarves+hats) and we want this total time to be 20 or less, so this means choice B is one of the answers

Choice A and choice C are also answers because they restrict how many scarves and hats we can make. Choice A says we can make at most 8 scarves. Choice C says the max number of hats we can make is 5.

The other inequalities won't apply so they can be crossed off the list.

=============================

Problem 2

Answer: choice A and choice B

---------

Explanation:

If you plug in x = -2 and simplify, you'll end up with f(x) = -4, so that helps confirm A is one of the answers. Choice B is the other answer because x = 2 leads to f(x) = 56

In contrast, if you plugged in x = 8, you'd end up with 4088 which is way off of the y coordinate 0 listed. The same story happens with x = 24 but the result is much much larger.

=============================

Problem 3

To be honest, I'm not sure what to make of this problem. If x is the decimal form of the sales tax, then 1+x would be the multiplier to help get the total cost. For example, if x = 0.02 then 1+x = 1+0.02 = 1.02, meaning that the final cost (after tax) is 102% of the original cost (before tax)

1+x isn't the amount of tax as that would be 15.85*x

The percent of tax would be 100*x (eg: x = 0.02 so 100*x = 100*0.02 = 2% tax rate)

The cost of the toy is given to be 15.85 so that answer is out as well.

=============================


What is the explicit rule for this geometric sequence?

a1=4; an=13·an−1




an=4(1/3)n−1

an=1/3⋅4n

an=1/3⋅4^n−1

an=4(1/3)n

Answers

[tex]\text{The explicit rule of geometric sequence}\\\\a_n=a_1 r^{n-1}\\------------------------------\\\text{We have the recursive form}\ a_1=4,\ a_n=\dfrac{1}{3}\cdot a_{n-1}.\\\\\text{Therefore}\ r=\dfrac{1}{3}.\ \text{Substitute:}\\\\\boxed{a_n=4\left(\dfrac{1}{3}\right)^{n-1}}[/tex]

Answer:

Anne found the 10th term of the following sequence. Her steps are shown below.

3, 7, 11, 15, …

1. common difference = 4, a1 = 3

2. an = 3 + (n - 1)4

3. an = 3 + 4n - 4

4. an = 4n - 1

5. a10 = 4(10) – 1

6. a10 = 39

Analyze Anne’s work. Is she correct? If not, what was her mistake?

Yes, she is correct.

No, she needed to find the common ratio because it is a geometric sequence.

No, she substituted the wrong values into the rule to find the equation that represented the sequence.

No, she solved for the 10th term incorrectly.

Step-by-step explanation:

During a sale atthe book store sold for 3$ and magazinssold for2.50. Jan spent 16$ and bought a total of 6 books and magazines. How many of each did she buy.

Answers

Answer:

6 books and 10 magazines

Step-by-step explanation:


If property damage due to erosion along the coast is $60 million each year, how many money would be spent in 4 years?

Answers

$240 million is spent every year

60 x 4 = 240

Hope this helps :)

This is the sum of all the results included in the sample divided by the number of observations. It is the same as the average.

Answers

Answer:

Mean is the sum of all the results included in the sample divided by the number of observations.

Explanation:

Suppose we have the score of 5 randomly selected students in a class.

The scores are:

[tex]45,48,52,65,78[/tex]

Now the mean of the 5 randomly selected students will be:

[tex]Mean = \frac{Sum-of-scores-of-five-students }{Number-of-students}[/tex]

          [tex]=\frac{45+48+52+65+78}{5}[/tex]

          [tex]=\frac{288}{5}[/tex]

          [tex]=57.6[/tex]

Therefore, the mean is 57.6


What is the solution of the system?

Use the substitution method.

{3x+2y=11x−2=−4y

The only solution is (12, −52) .

The only solution is (4, −12) .

There is no solution.

There are an infinite number of solutions.

Answers

Answer: [tex]\bold{\text{b.}\bigg(4,-\dfrac{1}{2}\bigg)}[/tex]

Step-by-step explanation:

x - 2 = -4y  →  x = 2 - 4y

3x + 2y = 11  

3(2 - 4y) + 2y = 11     replaced "x" with (2 - 4y)

6  - 12y + 2y = 11     distributed "3" on left side

6   - 10y        = 11      added like terms (-12y + 2y)

     - 10y        =  5      subtracted "6" from both sides

          y         [tex]= -\dfrac{1}{2}[/tex]       divided both sides by -10


Next, solve for x:

x = 2 - 4y

   [tex]= 2 - 4(-\frac{1}{2} )[/tex]

   = 2 + 2

   = 4

Answer:

your answer would be b

Step-by-step explanation:

I have tryed to find this problem and I can't everytime I try the numbers that are to high for the answer what I'm I doing wrong the problem is 51/2*21/3=

Answers

Answer:

1071/2

when you multiply the top you get 1071 and when you multiply the bottom you get 6. But if u want to simplify the answer could be 357/2



Plzzz give brainlest and thank me


Answer:

178.5

Step-by-step explanation:

First, Do 51/2, which is 25.5

Second do 25.5*21, which is 535.5

Third, do 535.5/5, which would be 178.5

So, the answer is 178.5

Hope this helps :)

Jaime has 6 quarters and some dimes in his pocket . The total value of the coins in 4.50. How many dimes does he have in his pockets

Answers

Hi there! :)

Answer:

Jaime has 30 dimes in his pocket.


Step-by-step explanation:

First off, you need to know that:

A quarter is equal to = $0.25

A dime is equal to = $0.10


Jaime has 6 quarters, which means that he has 6 times $0.25:

6 × 0.25 = $1.50


Jaime has a total of $4.50 → Subtract the amout of money represented by the quarters and you'll be left with the amout of money represented by the dimes:

4.50 - 1.50 = $3


Jaime has $3 worth of dimes in his pocket. In order to know how many dimes $3 represents, you'll need to divide "3" by 0.10, which is what 1 dime is worth:

3 ÷ 0.10 = 30 → YOUR ANSWER


There you go! I really hope this helped, if there's anything just let me know! :)

Mario purchases a prepaid phone plan for $50 at $0.13 per minute. How many minutes can Mario talk on this plan

Answers

The number rounded is 385 mins.

I found this by mutilplying 0.13×384=around 50.

Please vote my answer brainliest. Thanks!

Mario can talk for 384 minutes on his prepaid phone plan, calculated by dividing his plan's cost, $50, by the per-minute rate of $0.13.

To determine how many minutes Mario can talk on his prepaid phone plan, you would divide the total amount of the plan by the cost per minute. Mario has $50 and the cost per minute is $0.13. To calculate the total minutes, use the formula:

Total Minutes = Total Plan Cost / Cost Per Minute

Let's do the math:

Total Minutes = $50 / $0.13

Total Minutes = 384.6154

Since we cannot have a fraction of a minute in this context, we round down to the nearest whole minute.

Therefore, Mario can talk for 384 minutes on his prepaid plan.

How to solve
3 log 2x=4

Answers

Answer:

  = 5  * 10 ^ 1/3

Step-by-step explanation:

3 log 2x=4

Divide each side by 3

3/3 log 2x=4/3

log 2x=4/3

Raise each side to the power of 10

10 ^(log 2x)=10 ^(4/3)

2x = 10 ^(4/3)

Divide by 2

2/2x =  1/2 * 10 ^(4/3)

x = 1/2 * 10 ^4/3

10 ^ 4/3  = 10 * 10 ^ 1/3

x = 1/2  ( 10)  10 ^ 1/3

  = 5  * 10 ^ 1/3

The product of the roots of $2x^2 - 7x + N = 0$ is $-5.$ Find $N.$

Answers

By the fundamental theorem of algebra, we can factorize the quadratic as

[tex]2x^2-7x+N=2(x-r_1)(x-r_2)[/tex]

so that expanding the right hand side gives

[tex]2x^2-7x+N=2x^2-2(r_1+r_2)x+2r_1r_2[/tex]

[tex]\implies\begin{cases}-2(r_1+r_2)=-7\\2r_1r_2=N\end{cases}[/tex]

We're told that the product of the roots is -5, or [tex]r_1r_2=-5[/tex], so we get

[tex]2(-5)=N=-10[/tex]

The value of N for given conditions is -10. It can be calculated as shown below.

Given that:

The quadratic equation given is:  [tex]2x^2 -7x + N = 0[/tex]

The product of roots of given equation is: -5

To find: Value of N

Explanation for product of roots and Calculations:

For quadratic equation [tex]ax^2 + bx + c = 0[/tex], we have:

[tex]\text{Product of roots} = \dfrac{c}{a}\\\\\text{Sum of roots} = \dfrac{-b}{a}[/tex]

For given quadratic equation, we have:

a = 2, b = -7, c = N

Thus, by above formula:

[tex]\text{Product of roots} = \dfrac{c}{a} = \dfrac{N}{2} = -5\\\\N = -5 \times 2 = -10[/tex]

Thus, value of N for given conditions is -10.

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A line has a slope of -4/5. Which ordered pairs can be points on the line is perpendicular to this line

Answers

Answer:

Any ordered pairs which have a slope of 5/4.

Step-by-step explanation:

The line has a slope of -4/5 which means the y values have a difference of -4 and the x values have a difference of 5. If the line is perpendicular to this line then its slope must be the negative reciprocal which is 5/4. Any points which have a difference in y values of 5 and a difference of x values of 4 will be on some line perpendicular to the original.

Show you work for full credit Use the SUBSITUTION method or ELIMINATION method to solve this system of equations:

Answers

3x-2(-2x+4)=6
3x +4x-8=6

7x-8=6
Add 8 to both sides
7x=14
X=2. (2,
-3(2)+4=y
-6+4=y
-2=y

(2,-2)
y=-2x+4
3x-2(-2x+4)=6
3x+4x-8=6
7x=14
x=2
y=-2x+4
y=-2(2)+4
y=0

Suppose there are 10 green, 8 brown, 3 yellow, 8 blue, and 6 red candies in a bag. If you randomly pick out one candy, what is the probability it is red or yellow?

Answers

Answer:

9/35, 0.257 or 25.7%

Step-by-step explanation:

The basic and simple way to calculate the probability of an event happening is by using this equation:

Number of desired outcomes------------------------------------------------- = Probability Number of all possible outcomes

Our desired outcomes are picking either red or yellow candies. The number of desired outcomes in this case is the total number of red and yellow candies. 6 red + 3 yellow = 9

Number of desired outcomes = 9

Number of all possible outcomes in this case is the total number of candies in the bag. 10 green + 8 brown + 3 yellow + 8 blue + 6 red = 35

Number of all possible outcomes = 35

Use the formula and we get that the probabbility of drawing out a yellow or red candy is: 9/35, 0.257 or 25.7% (those are 3 different ways to write the probability)


What is the justification for each step in solving the inequality?

3x+5/8≥4x−1/2

Select from the drop-down menus to correctly justify each step.

3x+5/8≥4x−1/2 Given

3x≥4x−9/8 ?????

−x≥−9/8 ?????

−x/−1≥−9/8/−1 ?????

x≤9/8 ?????

Chose from
Multiplication or Division property of order
Distributive property
Addition or Subtraction property of order

Answers

Step-by-step explanation:

[tex]3x+\frac{5}{8}\geq 4x-\frac{1}{2}[/tex]

Subtract 5/8 on both sides

To subtract 5/8 we make the denominators same

[tex]3x\geq 4x-\frac{1*4}{2*4}-\frac{5}{8}[/tex]

Addition or Subtraction property of order is used

[tex]3x\geq 4x-\frac{9}{8}[/tex]

Subtract 4x on both sides

Addition or Subtraction property of order is used

[tex]-x\geq -\frac{9}{8}[/tex]

Now divide both sides by -1

Multiplication or Division property of order is used

[tex]\frac{-x}{-1} \geq \frac{-\frac{9}{8}}{-1}[/tex]

Multiplication or Division property of order is used

[tex]x\leq \frac{9}{8}[/tex]



Final answer:

The justification for solving the inequality involves using the Addition or Subtraction property of order to combine like terms and isolate the variable, and the Multiplication or Division property of order to solve for the variable, with an important note that dividing both sides by a negative number reverses the inequality symbol.

Explanation:

The justification for each step in solving the inequality 3x + 5/8 ≥4x − 1/2 can be broken down as follows:

3x + 5/8 ≥4x − 1/2 Given

3x ≥4x − 9/8 Addition or Subtraction property of order, subtracting 5/8 from both sides

−x ≥ − 9/8 Addition or Subtraction property of order, subtracting 4x from both sides

−x / −1 ≥ −9/8 / −1 Multiplication or Division property of order, dividing both sides by −1

x ≤9/8 Multiplication or Division property of order, understanding that dividing by a negative number reverses the inequality symbol

Each step involves manipulating the inequality while maintaining the balance, and the direction of the inequality changes when both sides are multiplied or divided by a negative number.

This set of points is on the graph of a function.

{(−2, 5), (−1, 2), (0, 1), (2, 5)}

Which points are on the graph of the inverse?

Select each correct answer.


(−5, 2)

(2, −1)

(0, 1)

(5, 2)

Answers

Answers: (B) (2, -1) and (D) (5, 2)

Step-by-step explanation:

Inverse is when the x's and y's are swapped

Given: (-2, 5), (-1, 2), (0, 1), (2, 5)

Inverse: (5, -2), (2, -1) (1, 0), (5, 2)

The correct answer would be options (B) (2, -1) and (D) (5, 2)

What is an inverse function?

The inverse function is defined as a function obtained by reversing the given function.

To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.

Given that the set of points is on the graph of a function.

{(−2, 5), (−1, 2), (0, 1), (2, 5)}

We have to find the inverse of the function below :

{(−2, 5), (−1, 2), (0, 1), (2, 5)}

When the values of x and y are switched, the inverse is true.

(-2, 5) ⇒ (5, -2),

(-1, 2) ⇒ (2, -1),

(0, 1) ⇒ (1, 0),

(2, 5) ⇒ (5, 2)

Hence, the points {(5, -2), (2, -1) (1, 0), (5, 2)} are on the graph of the inverse.

The correct answer would be options (B) (2, -1) and (D) (5, 2)

Learn more about the inverse function here:

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Together, Tran and Luis take 6 hours to deliver newspapers. If Tran works alone, it takes him 9 hours. How long would it take Luis, working alone, to deliver all the newspapers?


Options:

12 hours

15 hours

18 hours

16 hours

Answers

Answer:

18 hours

Step-by-step explanation:

We work in fractions of the job done per hour.

So in the case of Tran alone he does 1/9 of the job per hour.

We have the equation 1/9 + 1/x = 1/6  where x is the time taken for Luis to deliver the newspapers.

1/9 + 1/x = 1/6

Multiply through by the LCM 18x:-

2x + 18 =  3x

18 = x

the answer is:

18 hours !

A square of area 36cm is cut to make two rectangles a and b the ratio of area a to b is 2:1 work ou the dimensions of rectangles a and b

Answers

Answer:

The dimensions of rectangle a are 6x4 and dimensions of rectangle b are 6x2.

Step-by-step explanation:

We are given a square with area 36 squared cm. Therefore, dimension of the square will be 6 cm.

The square is cut into two rectangles with areas in the ratio 2:1.

Let the dimensions of the rectangles be 6*a and 6*b. Therefore, we can set up the ratio of areas as:

[tex]\frac{6a}{6b}=\frac{2}{1}  \\a=2b[/tex]

Moreover, we can set the combined area of rectangles equal to the area of square to form another equation:

[tex]6a+6b=36\\a+b=6[/tex]

Using substitution method, we can solve for 'a' and 'b' as shown below:

[tex]2b+b=6\\3b=6\\b=2[/tex]

And

[tex]a=2b\\a=2(2)\\a=4[/tex]

Therefore, dimensions of the two rectangles are 6x4 and 6x2, respectively.

(r3 +6r2 −21r−18)÷(r−3) solve using synthetic division

Answers

Answer:

y = x^2 + 9x + 6    No remainder.

Step-by-step explanation:

The divisor will be 3 The sign on the divisor switches.

3 || 1    +     6    -    21    -   18 ||

                 3         27     + 18

================================

      1          9         6          0


The answser is x^2 + 9x + 6

What is the first step when rewriting y=6x^2+18x+14 in the form y=a(x-h)^2+k?

Answers

Answer:

Factor 6 from the first two terms.

Step-by-step explanation:

By factoring out "a", you can better see what "h" needs to be.

y = 6(x^2 +3x) +14 . . . . 6 factored from first 2 termsadd the square of half the x-coefficient inside parentheses; add the opposite outside: y = 6(x^2 +3x +2.25) +14 -6(2.25)rewrite as a square; combine the constants: y = 6(x+1.5)^2 +0.5

In a survey of music preference, 82 out of 450 student said that they preferred country music . What percent of the students preferred country music ?

Answers

[tex]\frac{82}{450}\cdot100\%=\frac{164}{9}\%=18\frac{2}{9}\%[/tex]

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