Solving the Quadratic equations by completing the square: 2x^2-7x+2=0

Answer:

150 vouchers to wash trucks were sold

250 vouchers to wash compact cars were sold

Step-by-step explanation:

Here, we are interested in calculating the number of each type of vouchers sold.

Let the number of vouchers to wash trucks be x while the number of vouchers to wash compact trucks be y.

Firstly, we know that both sums up to be 400.

Mathematically;

x + y = 400 •••••••••(i)

Secondly,

since a voucher to wash trucks sell $4, and we sold a total of x, the amount generated from selling is 4 * x = $4x

Same way for the vouchers to wash compact cars, we have a total of $3 * y = $3y

The sum of both gives $1350, which is the total sales.

Mathematically;

4x + 3y = 1350 ••••••(ii)

So we have two equations to solve simultaneously;

x + y = 400

4x + 3y = 1350

Multiply equation i by 4 , we have;

4x + 4y = 1600

4x + 3y = 1350

Subtract equation ii from i, we have 4y-3y = 1600-1350

y = 250

From equation 1, we know that

x + y = 400

This means that;

x = 400 -y

x = 400 -250

x = 150

Answer:

1: 2 and $3.072

Step-by-step explanation:

According to the question, the data provided is as follows

10 half gallons

For this she paid $15.36

Based on the above information,

The ratio in fractional form is

= 1 ÷ 2

= 1 : 2

And, the cost of gasoline per gallon is

Since  half of 10 gallons is 5

And, the amount paid is $15.36

So, the cost of gasoline per gallon is

= $15.36 ÷ 5

= $3.072

(-2,2)

Just took the quiz, this is 100% correct.

Please mark brainliest! :)

A constant function is a function having the same value of range for different values of the domain.

The interval on which the given function is constant is x ∈ [ -2, 2 ].

A constant function is a function having the same value of range for different values of the domain.

We have,

The graph shows that the function is constant at an interval.

The graph of a constant function is always a straight line.

We see that we have a short straight line on the graph.

The straight line starts from the x = -2 till x = 2 on the x-axis.

The straight line has the constant y = -2 on the y-axis.

The x values are called the domain.

The y value is called the range.

The interval on which the graph is constant is x ∈ [ -2, 2 ].

Thus, the interval on which the given function is constant is x ∈ [ -2, 2 ].

Learn more about functions here:

https://brainly.com/question/19595873

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Answer:

20.8 cm

Step-by-step explanation:

Perimeter of square = 4a

Dimension of the thumb print = 1 cm by 1cm

Perimeter of the size of the square (thumb print) = 4 × 1

= 4 cm

We are told in the question that:

The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds.

Hence,

32cm - 4cm = 28cm

What is the perimeter of the square after 1.5 seconds?

We set up a proportion

Time / perimeter

= 1.5/x = 2.5/ 28

Cross Multiply

= 2.5x = 1.5 × 28

x = 1.5 × 28/2.5

x = 16.8.

Therefore, the perimeter of the square after 1.5 seconds

= 16.8cm + perimeter of the square before expansion.

=16.8 cm + 4 cm

= 20.8 cm

Answer:

C:  20.8 centimeters

Step-by-step explanation:

Answer:

-2.83~

Step-by-step explanation:

google :)

Answer:

15%

Step-by-step explanation:

Since a percent is out of 100 we can make 75/500 to have the denominator of 100.

To do that you divide

500/5 = 100

and for the numerator

75/5 = 15

whatever you do to one side you must do to the other that's why I divided both sides by 5. The ending fraction would be 15/100 which is the same as 15%

Hope that helps and have a great day!

Responder:

94,800 pesos

Explicación paso a paso:

Dado que:

Para vender x de un producto diariamente, el precio al que debe vender cada uno de sus productos = 96800 - 10x pesos

Por lo tanto, para vender 200 unidades al día, el precio a cobrar será:

Sustituye 200 en lugar de x en la ecuación de precio anterior,

Es decir ;

x = 200

Precio = 96,800 - 10 (200) pesos

Precio = 96,800 - 2000

Precio = 94,800 pesos

De ahí que el precio a cobrar al vender 200 unidades diarias sea de 94.800 pesos.

Answer:

A

Step-by-step explanation:

Do 5-3=2 and then you have your answer if I got it wrong sorry

Answer: A

Step-by-step explanation:

solve the equation

5+3 =8

plug in each problem.

8-2= 6

Answer:

9>a

Step-by-step explanation:

The greater than symbol is >

The less than symbol is <

It can be helpful to imagine the signs as little crocodile mouths. They will turn their heads to the biggest catch, or in this case, the greater number. So the open end of the sign will be towards the greater number.

Answer:

9>a

Step-by-step explanation:

the side with the bigger opening means that side of the inequality has a greater value  so since 9 is greater than a the bigger opening will go to 9.

Answer:

3d(5-4cd)

Step-by-step explanation:

15d - 12cd²  (we see that the highest common factor of 15 and 12 is 3, hence we can factor 3 out)

= 3 (5d - 4cd²)      (we also notice that d appears in both terms in the parantheses. hence we can also factor d out)

= 3d(5-4cd)

Answer:

x = 22

Step-by-step explanation:

158 + x + 148 + 32 must sum up to 360 as this is a quadrilateral.  Thus:

x + 338 = 360.

Subtracting 338 from both sides, we get x = 22

Step-by-step explanation:

what is your name what is 1000 divided by 1000

Answer:

x^10

Step-by-step explanation:

exponent multiplication is like addition for exponents

Answer:

x^24

Step-by-step explanation:

Answer:

sorry dont know the answer im new to this website

Step-by-step explanation:

Answer:

1.x=11

2.x=+5=+2.2362

3.x=+3.750=+1.93649

when you divide 6/13 by 6/12 you should be getting 12/13

step by step :

take the reciprocal ( flipping the numerator and denominator ) of the second fraction and changing the division sign to multiplication :

6/13 × 12/6

the next step is to multiply the numerator and denominator

6 × 12 / 13 × 6 = 72/78

the fraction can be reduced by dividing numerator and denominator by greatest common factor of 72 and 78

here the greatest common factor will be 6

72 ÷ 6 / 78 ÷ 6

you should get 12 / 13 as an answer

so that's it :)

hope this helped !

Answer:

it is irrational

Step-by-step explanation:

hav a nice dAY

Answer:

The correct answer is D. 2

Step-by-step explanation:

i think answer is D.2

Step-by-step explanation:

you can see the steps above

Step-by-step explanation:

Hey there!!!

see explanation in picture.

Hope it helps...

Answer:

58

Step-by-step explanation:

Use a number line.

-4 + 4 = 0.

So, you already have 4 Fahrenheit.

Then, add the distance of 54 from 0 to 54.

4 + 54 = 58.

That is your answer, here to help!

Answer:

Xmin = –π  Xmax = 3π

Step-by-step explanation:

Domain window settings Xmin = 0 & Xmax = 720° would be appropriate if you want to graph the function for exactly two periods.

The distance between the repetition of any function is called the period of the function.

For example, for the cosine function, the distance between the repetition of the function is [tex]2\pi[/tex]. So the period of the cosine function is [tex]2\pi[/tex].

If you want to graph the function for exactly two periods the difference between the first and last element of the domain should be two times the period of the function.

i.e. If the domain is [a, b] the value of [tex]b-a = 4\pi[/tex].

Option(1) b-a =720° [tex]=4\pi[/tex]

Option(2) b-a =[tex]2\pi[/tex] [tex]\neq 4\pi[/tex]

Option(3) b-a =360 [tex]\neq 4\pi[/tex]

Option(4) b-a =[tex]3\pi[/tex][tex]\neq 4\pi[/tex]

So, correct option is option(1) i.e. Xmin = 0 & Xmax = 720°

Hence, domain window settings Xmin = 0 & Xmax = 720° would be appropriate if you want to graph the function for exactly two periods.

To get more about the period of a function visit:

https://brainly.com/question/3511040

Answer:

     j/k + 6

Step-by-step explanation:

Add 6 to the quotient of j and k comes out to:

                                  j/k + 6

Answer:

La respuesta es

Step-by-step explanation:

Escribe la expresión en forma exponencial con base 5

Eso es

Usando las reglas de los logaritmos que

Simplifica la expresión

Tenemos la respuesta final como

Espero que esto te ayude

Answer:

p=7

Step-by-step explanation:

2 (5p-4)=3p-7

(10p-8)=3p-7

10p=3p+1

7p=1

p=7

Answer:

x = 6

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