equation of the parabola in vertex form that passes through (4,-7) and has a vertex of (1,-6)

Answer:

Step-by-step explanation:

For A, 7x=21, it is asking, 7 multiplied by what number is 21? We can try to figure it out. Let's start with 0.

7(0)≠21

Then 1.

7(1)≠21

7(2)≠21

7(3)=21

Therefore, for question a, the answer is 3.

For question b, it's asking 6 minus what is 2.

With this one, we can say it is 4, since 6-4=2.

Now moving on to B.

a) 2x+4=16

We need to isolate x in order to find it's value.

So we can begin with subtracting 4 from both sides, getting us:

2x=12

Then, if we divide both terms by 2, we get x.

x=12/2

x=6.

b)

3 x (z/4)=9

Again, we need to isolate z.

So, we multiply both sides by 4, getting us

3z=36

then we divide by 3

z=36/3

z=12

c) 16-x=2

Here we simply subtract 16 from each side, then flip the signs to get positive x.

So, 16-x=2

-x=-14

x=14

d) 4k=20

This is essentially asking, 4 times what number is 20?

So we can divide both sides by 4 and get

k=20/4

k=5

Answer:

62 sq in of wall is covered

Step-by-step explanation:

6 x 14 = 84 -22 = 62

this is for the total

4 x 4 = 16

this is for the inches of the inside wall

2 x 3 = 6

this is for the inches of the outside wall

Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall option (C) is correct.

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

Leah must add the widths of all the places and posters to get the breadth of the wall, so the best course of action is:

Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall.

Thus, the appropriate strategy for Leah to use to find the width of the wall is Leah can draw a picture showing each poster and space. Then she can add the measurements together to find the width of the wall option (C) is correct.

Learn more about the rectangle here:

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#SPJ2

Answer:

5 degrees Fahrenheit

Step-by-step explanation:

-6 + 11 = 5

Answer:

1 1/6

Step-by-step explanation:

First convert 1/2 into twelfths.

1/2= 6/12

Then add:

6/12 + 8/12= 14/12= 7/6= 1 1/6

Hope this helps! :)

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\frac{7}{6}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\frac{8}{12}+ \frac{1}{2}\\\rule{150}{0.5}\\\rightarrow \frac{8}{12}=\frac{8/4}{12/4}=\frac{2}{3}\\\\\rightarrow\frac{2}{3}+ \frac{1}{2}\\\\rule{150}{0.5}\\\rightarrow LCM(3,2): 6\\\\\rightarrow \frac{2}{3} =\frac{2*2}{3*2} =\frac{4}{6}\\\\\rightarrow \frac{1}{2}=\frac{1*3}{2*3}=\frac{3}{6} \\\rule{150}{0.5}\\\rightarrow \frac{4}{6} +\frac{3}{6}\\\\\rightarrow\boxed{\frac{7}{6}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Step-by-step explanation:

hope this helps you dear sis.....

Answer:

Answer:

1. 2/5

2. 3/20

3. 6 1/9

4. 1/5

5. 11

6. 1

7. 3/13

8. 1 5/11

9. 2

10. 6 1/2

11. 20/27

12. 2 3/16

13. 4 13/18

14. 1 45/98

Hope this helps!

Step-by-step explanation:

Step-by-step explanation:

The angles a and b are congruent, also c and x are congruent.

Answer:

81972

Step-by-step explanation:

Help this help

Answer:Message me for full answer

Step-by-step explanation:

Step-by-step explanation:

1. the total amount of pieces they have

2. cup noodle

3. mutiplication

4. four class

5. 9660

Answer:  $208,000

Step-by-step explanation:

Answer:

Isn't it 8000 cubic cm sorry if it's wrong

Answer:

Step-by-step explanation:

Answer:

(-4)³= -64

(-8)²= -64

Step-by-step explanation:

sorry if I did it wrong

Answer:

Slope is 50x (50/1)

Explanation:

let m = slope

m = (y2-y1)/(x2-x)

m = (2,202,100-2,201,900)/(1994-1990)

m = 50/1

m = 50

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Answer:

If Darren's taxable income is $27,481 and he is the head of household, he will be exempted from tax deductions. If he has already paid $3,847 in federal taxes, he will receive an equivalent amount in return if his tax deduction exceeds his collectible tax. Therefore, his money at the end of the year will total to $31,328.  

Step-by-step explanation:

Answer:

Step-by-step explanation:

he will receive a refund of 346 dollars

i just took the test

Answer:

Step-by-step explanation:

Answer:

A. A reflection over the x-axis

Answer:

this is A, a reflection over the x axis

Answer:

18,14,9

Step-by-step explanation:

enjoy

Answer:

[tex]h = \frac{V}{\pi r^{2}}[/tex]

h = 4 cm

Step-by-step explanation:

Given the formula for the volume (V) of a cylinder: V = πr ²h, and the following values for volume and radius:

V = 36π cm³

r = 3 cm

First, solve for h:

V = πr ²h

Divide both sides by πr ²:

[tex]\frac{V}{\pi r^{2} } = \frac{\pi r^{2}h}{\pi r^{2} }[/tex]

[tex]h = \frac{V}{\pi r^{2}}[/tex]

Next, solve for the height of the cylinder by substituting the given values for volume and radius into the formula:

[tex]h = \frac{V}{\pi r^{2}}[/tex]

[tex]h = \frac{36\pi }{\pi (3^{2})}[/tex] → π cancels out.

[tex]h = \frac{36}{9}[/tex]

h = 4 cm

Queremos encontrar y resolver un sistema de ecuaciones para encontrar el número de novillos comprados y el valor de cada uno.

Encontramos que las soluciones son:

La información que tenemos es:

El comerciante compro un dado número de novillos, digamos N.

El precio total fue de 1,440,000 colones.

Entonces si el precio de cada novillo es P, tenemos que:

N*P = 1,440,000

Sabemos que vendio 20 a 22,000 colones cada uno, es decir, obtuvo:

20*22,000 colones = 440,000 colones.

Es decir, de momento se tiene una perdida de:

1,440,000 - 440,000 = 1,000,000 colones.

Sí quiere obtener una ganancia de 200,000 colones, debe vender los (N - 20) novillos restantes a 2,000 colones más que P.

De esto planteamos la ecuación:

(N - 20)*(P + 2,000)= 1,000,000 colones + 200,000 colones = 1,200,000 colones.

Entonces tenemos el sistema de ecuaciones:

N*P = 1,440,000

(N - 20)*(P + 2,000) = 1,200,000

Para resolver esto comenzamos por aislar una de las variables en la primera ecuación, aislaremos N

N = (1,440,000)/P

Ahora reemplazamos esto en la otra ecuación:

(N - 20)*(P + 2,000) = 1,200,000

( (1,440,000)/P - 20)*(P + 2,000) = 1,200,000

Ahora debemos resolver esto para P.

1,440,000 - 20*P - 20*2,000 + 2,000*(1,440,000)/P = 1,200,000

- 20*P + 2,000*(1,440,000)/P = -180,000

Multiplicando ambos lados por P, obtenemos:

-20*P^2 + 2,880,000,000 = -180,000*P

Reescribimos esto como una ecuación cuadratica:

-20*P^2 +   2,880,000,000 + 180,000*P = 0

Y podemos resolver esto usando la formula de Bhaskara.

[tex]P = \frac{-180,000 \pm \sqrt{(180,000)^2 - 4*(-20)*(2,880,000,000)} }{2*-20} \\\\P = \frac{-180,000 \pm 512,640.22471 }{-40}[/tex]

Solo nos interesa la solución positiva, que es:

[tex]P = = \frac{-180,000 - 512,640.22471 }{-40} = 12,820.5[/tex]

Es decir, cada novillo le costó 12,820.5 colones.

y sabemos que:

N = 1,440,000/P = 1,440,000/12,820.5 = 112.3

Redondeamos al proximo numero entero, que es 112, donde ese 0.3 debe venir de algun error de redondeo (o más probablemente a un problema mal planteado).

Sí quieres aprender más puedes leer:

https://brainly.com/question/20868687

Answer:

not sure about it this one is tuff

Answer:

40770

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

Answer:

40,770

Step-by-step explanation:

Answer:

2^2 * 3^2

Step-by-step explanation:

2 * 2 * 3 * 3

We are multiplying 2 twos and we are multiplying 2 threes 3^2

The base is the number and the exponent is the number of the times

2^2 * 3^2

Answer:

285

Step-by-step explanation:

assuming youre saying 1265 = 660 + 325 + g

The equation of the tangent line is [tex]y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}[/tex]

To find the tangent to the hyperbola [tex]\frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} }[/tex] at (x₀, y₀), we differentiate the equation implicitly to find the equation of the tangent at (x₀, y₀).

So, [tex]\frac{d}{dx} (\frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} }) = \frac{d0}{dx}\\\frac{d}{dx} \frac{x^{2} }{a^{2} } - \frac{d}{dx}\frac{y^{2} }{b^{2} }= 0\\\frac{2x }{a^{2} } - \frac{dy}{dx}\frac{2y }{b^{2} } = 0\\\frac{2x }{a^{2} } = \frac{dy}{dx}\frac{2y }{b^{2} } \\\frac{dy}{dx} = \frac{b^{2}x }{a^{2}y }[/tex]

So, at (x₀, y₀)

[tex]\frac{dy}{dx} = \frac{b^{2} x_{0} }{a^{2} y_{0} }[/tex]

So, the equation of the tangent line is gotten from the standard equation of a line in point-slope form

So, [tex]\frac{y - y_{0} }{x - x_{0} } = \frac{b^{2} x_{0} }{a^{2} y_{0} } \\y - y_{0} = \frac{b^{2} x_{0} }{a^{2} y_{0} }(x - x_{0}) \\y = \frac{b^{2} x_{0} }{a^{2} y_{0} }(x - x_{0}) + y_{0} \\y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}[/tex]

So, the equation of the tangent line is [tex]y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}[/tex]

Learn more about equation of tangent line here:

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Answer:

y = x + 3

Step-by-step explanation:

→ Rewrite y - x + 3 = 0 in y = mx + c format

y = x - 3

→ Find the gradient of L4

1

→ Rewrite into y = mx + c format

y = x + c

→ Substitute in ( 0 , 3 )

3 = 0 + c

→ Find c

c = 3

→ Rewrite into y = mx + c

y = x + 3