Identify the vertex of the following parabola.
y = x2 - 4x +1

Utilizando los dos puntos dados, veremos que la relacion lineal es:

Una ecuación lineal se escribe como:

y = a*x + b

donde a es la pendiente y b es la ordenada al origen.

Sí sabemos que una linea pasa por los puntos (x₁, y₁) y (x₂, y₂), entonces la pendiente va a ser:

a = (y₂ - y₁)/(x₂ - x₁).

Aca tenemos los dos puntos:

(20km, $190)

(25 km, $242)

Entonces la pendiente será:

a = ($242 - $190)/(25km - 20km) = $10.4 /km

y = ($10.4 /km)*x + b

Para obtener el valor de b, usamos uno de los puntos. Evaluando en x = 20km deberiamos obtener y = $190, entonces:

$190  =  ($10.4 /km)*20km + b

$190 = $208 + b

$190 - $208 = b = -$18

Entonces la ecuación es:

y = ($10.4 /km)*x -$18

B) La tarifa minima es lo que obtenemos con x = 1 km, entonces es:

y =  ($10.4 /km)*1 km - $18 = -$7.6

Notar que da un valor negativo, lo que indica que la relación quizas no es lineal.

C) La cuota por kilometro es la pendiente de la relación lineal, en este caso será: $10.4 /km.

Sí quieres aprender más sobre lineas, puedes leer:

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The relationship between the running speed versus time​ can be positive, negative or none at all.

The question is incomplete, as the graph or table that measures the running speed versus time to complete a marathon​ is not given.

As a general rule, we have the following parameters:

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your answer for this question is y=c hope this helps

Answer:

155.7 & 153

Step-by-step explanation:

the only 2 heights under 161

Answer:

161.7 and 163

Step-by-step explanation:

I do not have one sorry,

Answer:

y = 37

Step-by-step explanation:

the 3 angles lie on a straight line and sum to 180°

sum the 3 angles and equate to 180

y + 29 + 40 + 2y = 180 , that is

3y + 69 = 180 ( subtract 69 from both sides )

3y = 111 ( divide both sides by 3 )

y = 37

The factors of the equation [tex]3x^{2} -11x+8[/tex] will be [tex](3x-8)(x-1)[/tex]

When we split the equation into two groups we will get

[tex]3x^{2} -3x-8x+8[/tex]

[tex]3x(x-1)-8(x-1)[/tex]

Now taking (x-1) common

[tex](3x-8)(x-1)[/tex]

Thus the factors of the equation [tex]3x^{2} -11x+8[/tex] will be [tex](3x-8)(x-1)[/tex]

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Step-by-step explanation:

The 18 Pack why is because it has more Coke than the other one and it is less expensive than the other one if it had 18.

Answer: C

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

srry if im wrong

Answer:

1.  Three terms 2. the coefficient is x

Step-by-step explanation:

1) The polynomial has three terms.

2) The coefficient of the second term is -2.

"It is composed of variables, constants, exponents, and combined using the mathematical operations such as addition, subtraction, multiplication."

For given question,

We have been given a polynomial [tex]3x^3 - 2x + 7[/tex]

For given polynomial, the total number of terms = 3

The second term of given polynomial is -2x.

So, the coefficient of the second term is -2.

Therefore,  1) The polynomial has three terms.

2) The coefficient of the second term is -2.

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Answer:

5.1 pieces

Step-by-step explanation:

You have to divide the measure of foot pipe by the measure of how many pieces to make. So,

1) 5 1/3 / 2/3

2) Simplify the mixed number, 5 1/3,  into an improper fraction

3) 17/5 / 2/3

4) 5.1

Answer:

2.5

Step-by-step explanation:

Add up the 5s of the left side first and you will get 25. Then you add up the 5s on the otherside and you will get 10. Subtract the 10 from the 25 to get 15. Finally, divide 15 by 6 to get the weight of each triangle, 2.5

1: 5 x 5 = 25

2: 5 x 2 = 10

3: 25 - 10 = 15

4: 15/6 = 2.5

The weight of each triangle is 2.5

Have an amazing day!

PLEASE RATE!!

Answer: 2.5

Step-by-step explanation:

What we know:

Both sides need to be equal, and one side already has a constant defined value.

That value is 25 (units)

How to solve:

By using a simple algebraic equation, we can find the value of a triangle's weight. X will represent a square's weight, and y will represent a triangle's weight.

Process:

Set up equation                                                 5x = 2x + 6y

Substitute                                                           5(5) = 2(5) + 6y

Simplify                                                               25 = 10 + 6y

Cancel out                                                         -10    -10

                                                                           15 = 6y

Separate variable                                              /6    /6

Solve                                                                   2.5 = y

Solution: y (triangle weight) = 2.5

You can check this by adding 2.5 6 times (15) to 5 2 times (10). This will equal 25, which would balance out the other side

Answer/Explanation:

The answer is B!

A mixed number from an improper fraction is when you take that improper fraction and fix it into whole numbers. It's kind of like a decimal but with fractions.

Examples:

6/4 = 1 and 2/4 or 1 and 1/2

9/2= 4 and 1/2

17/6= 2 and 5/6

Make sense?

improper fraction into a mixed number
1. divide the numerator by the denominator

2. the quotient becomes the whole number

3. the remainder becomes the numerator

4. the denominator remains the same.

12 : 5 = 2 remainder 2

[tex]\tt \dfrac{12}{5}=2\dfrac{2}{5}[/tex]

Answer:

Factor x2−4x

x2−4x

=x(x−4)

Answer:

x(x−4)

Step-by-step explanation:

Answer:

x (x-4)

Step-by-step explanation:

Answer:

Each person will get 6 and 3/4 cups of popcorn

Step-by-step explanation:

20.25 divided by 3 equals 6.75 which is 6 3/4

Answer: 4d + 2y + 10

Step-by-step explanation: Hoped This Helped! Thx For The Points!

Answer: julie spent 4 more dollars than mindy

Step-by-step explanation: julie spent 36 dollars in the dress while mindy spent 32 dollars

Julie spend  [tex]\$4[/tex]  more money than Mindy on the dress.

Off/Discount is an amount that is subtracted from the regular price of an item.

The original price of dress [tex]= \$39.99[/tex]

Julie buys the dress for [tex]10\%[/tex] off at its original price.

So,

Julie buys the dress for  [tex]= 39.99-(39.99*\frac{10}{100} )[/tex]

                                         [tex]= \$35.991[/tex]

Mindy buys the same dress for [tex]20\%[/tex] off at its original price.

Mindy buys the same dress for [tex]= 39.99-(39.99*\frac{20}{100} )[/tex]

                                                    [tex]=\$31.992[/tex]

So,

Julie spend more money than Mindy on the dress [tex]=35.991-31.992[/tex]

                                                                                    [tex]=\$3.999[/tex]

                                                                                    [tex]=\$4[/tex]

Hence, we can say that Julie spend  [tex]\$4[/tex]  more money than Mindy on the dress.

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Answer:

11.25

Step-by-step explanation:

I hope you have a good day

Answer:

x=5

Step-by-step explanation:

An isosceles trapezoid has two pairs of congruent base angles. This means angle F has to equal angle E. So we have 2x^2+21=3x^2-4. Move the variables to one side and we get 25=x^2. Square root both sides and we get two values x=5 and x=-5. Since angles cannot necessarily be negative, we only want the positive value. In this case x=5.  

Answer:

ø=14.48⁰ and. y=75.52⁰

Explanation:

angle thetha = 14.48⁰

sinø=opposite/hypotenuse

sinø=12/48

ø=sin¹(12/48)

ø=14.48

y=180⁰-(14.48⁰+90⁰)

y=75.52⁰

sum of angles in a triangle = 180⁰

Answer: A

Step-by-step explanation:

Answer:

b.8

Step-by-step explanation:

6x+2+40+90=180

6x+132=180

6x=180-132

6x=48

x=48/6

x=8

Answer:

Leg: BC (or CB)

Leg: AC (or CA)

Hypotenuse: AB (or BA)

Answer:

Leg 1: BC (CB) 3cm

Leg 2: AC (CA) 4cm

Hypotenuse: AB (BA) 5cm

Step-by-step explanation:

Answer:

4z-10

Step-by-step explanation:

Hope this helped idek if its an option but so srry if its wrong.

28% x 63

28 over 100 x 63 over 1

=

17.64

Answer:

[tex]\displaystyle 17\frac{16}{25}[/tex]

Step-by-step explanation:

[tex]\displaystyle 28\%\:of\:63 \\ \\ \frac{7}{25} \times 63 = \frac{441}{25} \\ \\ \boxed{\boxed{17\frac{16}{25}}}[/tex]

To turn 63% into a fraction, write it as a fraction over 100, then simplify it:

[tex]\displaystyle \boxed{\frac{7}{25}} = \frac{28}{100}[/tex]

I am joyous to assist you at any time.

Answer:

i think the answer is b

Step-by-step explanation: