Suponha que, em sua empresa familiar,
Dona Joana vende um salgadinho a x reais
(por unidade). A quantidade vendida por dia
diminui com o preço e é dada por 32 – x.
Portanto, a equação quadrática
x (32 – x) = 31
significa que, com o preço x, o total
apurado nas vendas, isto é, a receita, é igual
a 31 reais por dia.
Qual o menor preço X do salgadinho para
que isto ocorra?​

Answers

Answer 1

Answer:

1 Real

Step-by-step explanation:

Para encontrarmos o menor preço "x", do salgadinho que a empresa familiar Dona Joana costuma vender, basta resolvermos a equação quadrática informada pelo enunciado. Veja:

x(32 − x) = 31

Com a equação de 2º grau na forma fatorada, é possível desmembrarmos em duas outras equações. Uma delas é x = 31, que veio dos termos em negrito: x(32 − x) = 31, e a outra raiz é: 32 - x = 31, que veio dos termos em negrito x(32 − x) = 31.

Calculando as raízes:

x = 31

ou

32 - x = 31 ⇔ -x = 31 - 32 ⇔ -x = -1 ⇔ x = 1

Assim, as raízes são x = 31 e x = 1.

Testando os valores:

Para x = 31:

x(32 − x) = 31

31(32 - 31) = 31

31(1) = 31

31 = 31

Para x = 1

x(32 − x) = 31

1(32 - 1) = 31

1(31) = 31

31 = 31

Ok, está correto! E o menor valor  do salgadinho para que a receite dê R$ 31,00 é R$ 1,00.

Resposta:

Portanto, o menor preço que o salgadinho pode ter para que a receita seja igual  31 reais é R$ 1,00.


Related Questions

1. For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=-3(x-3)^2=5

2. For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=1/2(x+4)^2-13

3. For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=-(x-14)^2+17

Answers

Answer:

1a) opens down

b) don't know because equation has two equal signs

c) don't know because equation has two equal signs

2a) opens up

b) (-4, -13)

c) x = -4

3a) opens down

b) (14, 17)

c) x = 14

Step-by-step explanation:

Plz help me plz
Also phone reval XD

Answers

Answer:

5.50

Step-by-step explanation:

5 = whole number

.

5 = Tenths

0 = Hundreths

5.50

Hope this Helps!
It would be 5.50 5 is the tenths and zero is the hundredth

PLEASE HELP ASAP (8th grade question)

Answers

Answer:

m∠2=35°, m∠1=35°

Step-by-step explanation:

∠2 and ∠4 equal 180° when added, so 180-145=35

all angles of a triangle equal 180°, so 180-∠3-∠2=∠1

180-110-35= 35

Expand and simply
4(2d + 3) – 2(3d – 5)

Answers

Answer:

8d+12-6d+10

2d+22

Step-by-step explanation:

Answer:
8d + 12 - 6d + 10

An item on sale costs 80% of the original price. If the original price was $20 what is the sale price?

Answers

Answer:

$4.00

Step-by-step explanation:

0.80 x $20=16

$20-$16=$4.00

time 0:52:40
Simplify
78 x 7² x 74
7° x 75​

Answers

Answer:

282828

75

Step-by-step explanation:

-2(x - 2) = -3 - 21 I need help with that question, I've been trying to solve it for hours but i cant find the answer ​

Answers

Answer:

x = 14

Step-by-step explanation:

you would first distribute the -2 with x - 2, which should give you -2x + 4, and you want to do the -3 - 21, which would give you -24, then subtract 4 from -2x + 4, then you should have -2x = -28, then divide it by -2, which should give you x = 14

Answer:

x = 14

Step-by-step explanation:

In this problem, we must isolate x

Given: -2(x - 2) = - 3 - 21Simplify the right side: -2(x - 2)= - 24Distribute the -2 to x and -2 (multiply): -2x + 4 = -24Subtract 4 from both sides: -2x = -28Divide both sides by -2: x = 14

For a group of objects made of the same material, the weight of an object varies directly with its volume. If an object has a volume of 20 cubic inches and weighs 28 ounces, what is the constant of variation?

Answers

Answer: 7/5

Step-by-step explanation:


Work out the value of 4⁵

I think it 1024​

Answers

Answer:

1024

Step-by-step explanation:

yeah it's 1024 lol

Answer:

4^5 = 1024

Step-by-step explanation:

Write down the # on the left (4) by the # of times on the left (5)

So it would be: 4x4x4x4x4 = ?

You can cut this problem into pieces.

1. 4x4 = 16

2. 4x4 = 16      

3. 16x16 = 256 (use standard multiplication method)

4. 256 x 4 = 1024

I hope this helps:)

5.
a. Are triangles ABC and DEF similar?
Show or explain your reasoning.

Answers

YES they are!!!
explanation : if you rotate the angel to the right way they are very similar in shape and angels!!

Yes, the triangles are similar to each other by AA rule and EF = 8.

What is similarity in triangles?

When two triangles have congruent corresponding angles and corresponding sides in equal ratio, then they are said to be similar.

Given are the triangles, Δ ABC and Δ DEF,

In Δ ABC,

∠A + ∠B + ∠C = 180°

∠B = 180°- (60°+20°)

∠B = 100°

In Δ DEF,

∠D + ∠E + ∠F = 180°

∠F = 180° - (60°+100°)

∠F = 20°

∠A ≅ ∠D

∠B ≅ ∠E

∠C ≅ ∠F

We see, all the corresponding angles are congruent.

Therefore, according to definition of similar triangles Δ ABC ~ Δ DEF,

And,

AB/DE = BC/EF = AC/DF = 3/4

BC/EF = 3/4

6/EF = 3/4

EF = 8

Hence, the triangles are similar to each other by AA rule and EF = 8.

For more references on similarity in triangles, click;

https://brainly.com/question/25882965

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Find two positive numbers satisfying the given requirements.
The product is 152 and the sum is a minimum.

Answers

Answer:

8 and 19

Step-by-step explanation:

To some this, let's first list all the factors of 152. They are;

1, 2, 4, 8, 19, 38, 76, 152.

Now, let's arrange them to reflect being multiplied to get 152.

Thus;

1 × 152 = 152

2 × 76 = 152

4 × 38 = 152

8 × 19 = 152

Also, let's do the same for their sum;

1 + 152 = 153

2 + 76 = 78

4 + 38 = 42

8 + 19 = 27

Looking at the figures above, the ones that their product is 152 but have the least sum are 8 and 19

What are the coordinates of the point P?

Answers

Answer:

P (6 , -3)

Step-by-step explanation:

point P : (6 , -3)

Triangle EFG is rotated and dilated by a scale factor other than 1 to create triangle E'F'G'. Do triangle EFG and triangle EFG' have the same area? Justify your answer.
Respond in the space provided.

Answers

Answer:

yes

Step-by-step explanation:

it was just rotated not dilated

The area of triangle ΔEFG changes after rotation and dilation.

What is Scale factor?

The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.

Suppose the scale factor is k for the dilation of triangle.

Now, new dimensions of ΔE'F'G' is k times the dimension of ΔEFG.

Area of triangle ΔEFG = 1/2 × b × h

Then, triangle area for ΔE'F'G' = 1/2 × kb × kh = k²(1/2 × b × h)

Thus, the area becomes k² times.

Hence, the given triangles ΔEFG and ΔE'F'G' do not have the same area.

To know more about scale factor click on,

https://brainly.com/question/29464385

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This is accounting plz help

Answers

Yh i think that simon may be gay? Do you think? Maybe-

HELP PLS IF YOU KNOW THE ANSWER

Answers

Answer:

x = 1

Step-by-step explanation:

Since the triangles are congruent then AB ≡ DE , that is

DE = AB

5x - 4 = 2x - 1 ( subtract 2x from both sides )

3x - 4 = - 1 ( add 4 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1

3
Select the correct answer from each drop-down menu.
A cross section is the intersection of a __ and a __

Answers

Answer:

nolo se

Step-by-step explanation:

There are a total of 375 flamingos, parrots, herons, and chachalacas at the Famous Bird Sanctuary. The ratio of flamingos to parrots to herons is 10:7 … :3, respectively. There are twice as many flamingos as chachalacas. How many chachalacas are at the sanctuary? BRAINLIEST TO FIRST TO ANSWER.

Answers

Answer:

75

Step-by-step explanation:

Since the ratio between flamingos and chachalacas is 2:1, we see that the ratio of flamingos to chachalacas to parrots to herons is 10:5:7:3. The sum of these numbers is 25, so every 'ratio number' gets 375/25 = 15 animals. So the number of chachalacas is 15 * 5 = 75.

LOTS OF POINTS a. Andre deposited $24.50 into his bank account each week for 5 weeks. What was the total amount Andre deposited?

b. Four friends did a job together that paid $85.20. How much should each get if they all get an equal amount?


DO EACH PART OR I WILL REPORT THANK YOU °ω°

Answers

Answer:

122.50

380.80

Step-by-step explanation:

that's both answers have fun go play

Answer:

A. $122.5

B. $340.8

Step-by-step explanation:

A. $24.50 × 5 weeks = $122.5

- He only deposited one time each week so take the amount he puts in every week and multiply it by the amount of times he did it which is 5

B. $85.20 × 4 = $340.8

- 4 friends get the same amount of money just multiply that money amount they earned by all of them which is 4.

The chess clubcab have at most 36 members. The are 3 times as many boys as girls in the chess club. Which inequality could be used to determine the possible number of girls, x, in the chess club?

Answers

Answer:

The number of girls is at most 9 girls

y ≤ 9

Step-by-step explanation:

The chess clubcab have at most 36 members.

At most means : Less than or equal to 36 members and it is represented by the inequality = ≤

The are 3 times as many boys as girls in the chess club.

Boys = x

Girls = y

Hence,

x = 3y

Which inequality could be used to determine the possible number of girls, x, in the chess club?

Therefore,

x + y≤ 36

3y + y ≤ 36

4y ≤ 36

y ≤ 36/4

y ≤ 9

Girls = y

The number of girls is at most 9 girls

Please help due today

Answers

Answer:

60 cm^2

Step-by-step explanation:

Answer:

48 cm^2

Step-by-step explanation:

Surface area of a prism is just the sum total of each individual shape's area.

SA = [(3 * 4) + (3 * 3) + (3 * 5) + (1/2 * 3 * 4) + (1/2 * 3 * 4)] cm^2

((Area of rectangle/square is base times height.

Area of triangle is one-half times base times height.))

For every dime spent DeVita receive 15 food Pepsi the animals in the petting zoo David has fed the animals a total of 135 food pebbles right in Savon equation to find the number of dimes Davida spent at the petting zoo

Answers

Answer:

9

Step-by-step explanation:

135 divided by 15 and u got ur answer

NEED HELP WITH THIS PLEASE DUE TODAY the third picture its together with the second one

Answers

Answer:

-3

-2.5

-2

-9/8

-1

-1/4

0

1/4

1

9/8

2

8/3

2.5

3

OK OK PLSSS HELPP PLSSS

Answers

Answer:

[tex]18in^{2}[/tex]

Step-by-step explanation:

[tex]A=2*2+7*2=18in^{2}[/tex]



Each time you take your dog to the dog park it costs $175. Write an expression that represents the cost of n visits to the dog park.

Answers

Answer:

equation could represent the total cost (y), in dollars, for x teacher ... first 3 days she takes care of a dog and $25 for each day thereafter..... An amusement park has a group rate.

Answer:

c=175n

Step-by-step explanation:

Mr mcnall brought $562 freezer using a credit card that charges 18% annual interest if he does not make any payments or any additional charges how much will he owe after one month

Answers

Respuesta: el deberá $8.43 de interés en un mes.

Explicación paso a paso:

Regla de 3

$562 -- 100%

x --- 18%

x = 101.16

$101.16 es la cantidad de intereses que deberá en un año, pero ¿en un mes?

Para saberlo solo lo dividimos entre la cantidad de meses en un año (12)

101.16 ÷ 12 = 8.43

It is 101.16 , have a nice day!

25 times 10*6 in normal form

Answers

ANS to 25 times 10^6

25000000
the answer is 250000000

respuesta
[tex]( + 2) ^{5} [/tex]

Answers

32
I hope this helps :)

Help please I don’t understand

Answers

Answer:

Both are opposite rays

Step-by-step explanation:

[tex] \overrightarrow {OP} [/tex] and [tex] \overrightarrow {PO} [/tex] are two opposite rays, because their directions are different.

What is the probability of the spinner stop on an even number? ​

Answers

Answer:

Depends on what numbers are there.

Step-by-step explanation:

If the numbers are 0-10 then there is a 50% chance of the spinner stopping on an even number because there is 5 even numbers and 5 uneven numbers.

The probability of the spinner stopping on an even number will be equal to 5/10.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

The total number on the spinner is 10

The total even number on the spinner is 5.

Probability = 5/10

Therefore, The probability of the spinner stopping on an even number = 5/10

Learn more about probability here;

brainly.com/question/11234923

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Complete question:

Use a math drawing to explain why LaTeX: \frac{4}{5}=\frac{4\:\times3}{5\:\times3}\:=\frac{12}{15}4 5 = 4 × 3 5 × 3 = 12 15 .

Answers

Answer:

....................

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