based on the graph how many pieces of popcorn were eaten per minute in the first 4 minutes​

Answer:

D

Step-by-step explanation:

Find the vertex

¼(x-5) = (y-2)²

x-5 = 4(y-2)²

x = 4(y-2)² + 5

This is a right-opening parabola with vertex (5,2).

focal length p = 1/(4·coefficient of y²) = 0.0625

directrix: x = 5-p = 4.9375

D

The equation of directrix of the parabola will be x = 4, i.e. Option A.

Directrix is a straight line distance to which from any point of a conic section is in fixed ratio to the distance from the same point to a focus. The directrix is perpendicular to the axis of symmetry and does not touch the parabola.

We have,

[tex]\frac{1}{4} (x - 5) = (y - 2)^2[/tex]

Now,

Rewrite as,

[tex](x - 5) = 4(y - 2)^2[/tex]

Now,

[tex]x= 4(y - 2)^2+5[/tex]

Now,

Comparing it with the vertex form,

i.e.

[tex]x = a ( y - h )^ 2 + k[/tex]

Vertex of parabola = (2, 5),

So,

Focus at (a, 0),

So,

Focus of the parabola = (4, 0),

i.e., a = 4

Now,

The Equation of directrix is given by x = a

So,

The equation of the directrix of this parabola,

x - a = 0,

i.e.

x - 4 = 0

⇒

x = 4

Hence, we can say that the equation of directrix of the parabola will be x = 4, i.e. Option A.

To know more about directrix click here

https://brainly.com/question/4333610

#SPJ2

Answer:

x^3-2x^2-5x+6

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

ill reply to this gimmie a moment

Answer:

(-∞, 3] or x[tex]\leq[/tex]3

Step-by-step explanation:[tex]inf[/tex]

we treat it like a normal linear problem.

We can add 3 on both sides to get:

-10w[tex]\leq[/tex]-30

we can divide both sides by -10 to get...

w[tex]\leq[/tex]3

Or if nessessary, the interval notation is (-∞, 3]

Hope this helped!

Answer:

just search up Mathaway in your browser you will get your answer and a step by step explanation!

Step-by-step explanation:

Answer:

60y+48

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

Answer:

B. 20

Step-by-step explanation:

64 ÷ 8 + 6(2)

64 ÷ 8 + 12

8 + 12

20

Answer:

B) 20

Step-by-step explanation:

64/8+6(2)

8+6(2)

8+12

20

Answer:

1 Adult ticket=$35

1 Children ticket=$20

Step-by-step explanation:

21C+15A=945

6C+6A=330

we find adult tickets 1st

42C+30A=1890

42C+42A=2310

12A=420

A=35

we will find children ticket next

42c+30a=1890

30c+30a=1650

12c=240

C=20

Answer:

x=12

Step-by-step explanation:

the 2 triangles are proportionately identical.

the larger one is 1/3 larger, so x would be 9 plus 1/3 of 9- 12

Answer:

If you have a conversion table that would be 6600 feet.

Step-by-step explanation:

brainliest? >.<

Answer:

I think it's 3,960 ft!

Please give brainliest!

Answer:

the area of above figure is 0.31 cm^2

Answer:

A ≈ 0.03 cm²

Step-by-step explanation:

Area of a circle = πr²,

where π (pi) ≈ 3.14 or 22/7 as a close fraction is the ratio (factor) between the circumference and the diameter (2 times / twice the radius),

and r² is the radius squared or multiplied by itself once.

Given that the radius is 0.1 cm in this situation,

the area of this circle is as follows:

A = πr² → A = π (0.1)² cm² → π(0.01) cm² → 0.01π cm² →

(1/100)(π) cm² → π / 100 cm² → 3.14 / 100 cm² →

0.0314 cm² ≈ 0.03 cm²

Answer:

Da^^ good luck that looks hard

Step-by-step explanation:

Answer:

148

Step-by-step explanation:

Answer:

8x^2 + 18x - 35.

Step-by-step explanation:

Area = (4x - 5)(2x + 7)

= 8x^2 + 28x - 10x - 35

= 8x^2 + 18x - 35.

Answer:

3400

Step-by-step explanation:

if you add it all up in cm, which is 340cm then divide by 10 you get 3400.

Answer:

$102

Step-by-step explanation:

3000 x Y = 3060

3060/300 = Y

Y = 1.02

100 x 1.02 = $102

Hope this helps!!

Answer:

B

Step-by-step explanation:

Answer:

The two numbers are 9 and 11

Answer:

20%

Step-by-step explanation:

4+5+3 equals 12. in all, all of the frequencies combined is 30. because of that, it equals 20%. pls give brainliest

Answer:

41/91

Step-by-step explanation:

edggggge

Answer:

2

There is a picture the website is Math-way I use it all the time to help out or just to check my answers.

Answer:

i was abt to answer but too late prolly

Step-by-step explanation:

if u still wanna know,

Answer:

its less than one i think cause ive answered this same question not to long ago

Step-by-step explanation:

Answer:it’s greater than

Step-by-step explanation: because in the measures of DEF those are bigger

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

See the thing on the left?

▢ unknown

-  =  -

▢   1

Fraction lines that look like minus signs, missing units, poor formatting—it’s ridiculously unclear!

::::;

Julius’s walking rate is

(12 miles)/(3 hours) = (4 miles)/(1 hour)

time walked in 1 hour = 1 hour × (4 miles)/(1 hour) = 4 miles

time walked in 2.5 hours = 2.5 hours × (4 miles)/(1 hour) = 10 miles

time walked in 13 hours = 13 hours × (4 miles)/(1 hour) = 52 miles

time required to walk 27 miles = 27 miles × (1 hour)/(4 miles) = 6.75 hours

time required to walk 106 miles = 106 miles × (1 hour)/(4 miles) = 26.5 hours

Answer:

23

Step-by-step explanation:

20+3=23

Answer:

30 ft^2

Step-by-step explanation:

Break the figure into smaller pieces:

5*2=10

10*2=20

Add the areas

20+10=30

The are of the figure is 30 ft^2