I need help with this question

Answer:

y= 0.2(0.05)^x

Answer:

The equation of the Parabola

 (y - 6 )² = 8 (x -6)

Step-by-step explanation:

Step(i):-

Given directrix  x = 4

we know that    x = h - a = 4

               h -a =  4  ...(i)

Given Focus  = ( 8,6)

we know that the Focus of the Parabola

         ( h + a , k ) = ( 8,6)

   comparing  h + a = 8 ...(ii)

                  k = 6

solving (i) and (ii) and adding

   h - a + h+ a = 8 +4

           2 h = 12

              h =6

   Put h = 6 in equation (i)

  ⇒     h - a =4

  ⇒   6 - 4 = a

  ⇒      a = 2

Step(ii):-

The equation of the Parabola ( h,k) = (6 , 6)

( y - k )² = 4 a ( x - h )

(y - 6 )² = 4 (2) (x -6)

(y - 6 )² = 8 (x -6)

Answer:

x ≥ 42

Step-by-step explanation:

If you must be at least 42 inches tall to ride the bumper cars at an amusement park, this means that the minimum average height you can have is 42in i.e you can be more than 42inches tall.

The right inequality sign to represent this situations is a "greater than or equal to sign"(≥)

If x represent the heights of people who are allowed to ride the bumper cars, the required inequality expression will be x ≥ 42

Answer:

I believe it represents the volume of the basketball when the radius is r?

Answer:

9.76 years turns 900 dollars into 1200 dollars.

Step-by-step explanation:

A(t) = 900*(1.03)^t

1200 = 900 * (1.03)^t       Divide by 900

1200/900 = (1.03)^t

1.333 = 1.03^t                   Take the log of both sides.

1.249 = 0.0128*t

1.249/0.0128 t = 9.76 years.

Answer:

Area of the shaded region = 16(π - 2) in²

Perimeter of the shaded region = 4(π + [tex]2\sqrt{2}[/tex]) in

Step-by-step explanation:

Since, BDC is a quarter of the circle with radius = 8 in.

Area of the quarter of the circle = [tex]\frac{1}{4}(\pi)(r)^2[/tex]

                                                     = [tex]\frac{1}{4}(64)\pi[/tex]

                                                     = 16π in²

Area of ΔBCD = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = [tex]\frac{1}{2}(8)(8)[/tex]

                        = 32 in²

Since, area of the shaded part = Area of quarter of the circle - Area of triangle BCD

= (16π - 32)

= 16(π - 2) in²

Therefore, area of the shade region = 16(π - 2) in²

Similarly, length of arc BD = [tex]\frac{1}{4}(2\pi r)[/tex]

                                            = [tex]\frac{8\pi }{2}[/tex]

                                            = 4π in.

Length of the diagonal of a square = (Side)√2

                                                          = 8√2 in

Perimeter of the shaded region = Length of arc BD + Length of diagonal BD

= 4π + 8√2

= 4(π + 2√2) in.

Answer:

Therefore the total amount that Jackson's Bakery made in one week from sheet cakes is: = $2,238

Step-by-step explanation:

Step One:

To arrive at the total amount made from the sheet cakes, we have to assign the prices of each type of cake. They are:

Step Two:

If the new pastry sold 17 small, 11 medium and 20 large sheet cakes respectively, the total money made comes to the following:

= (36 x 17) + (11 x 46) + (56 x 20)

= 612 +  506 + 1120

Therefore the total amount that Jackson's Bakery made in one week from sheet cakes is:

= $2,238

Cheers!

THe 3rd equation is true

Answer:

False

Step-by-step explanation:

to determine if the points are collinear, determine the rate of change(slope) between (-2, -9) and (0, -4) and then the rate of change between (0, -4) and (3,6) and rate of change between (-2, -9) and (3, 6). if the rates are equivalent then the points are all collinear

between (-2, -9) and (0, -4):

m=(y2-y1)/(x2-x1)

  =(-4-(-9))/(0-(-2))

  =5/2

between (0, -4) and (3,6):

m=(y2-y1)/(x2-x1)

  =(6-(-4))/(3-0)

=10/3

because 5/2 does not equal 10/3 the rates of change are not equal and the points are not collinear, do not need to consider slope between (-2, -9) and (3, 6)

Answer:

9 inches

Step-by-step explanation:

Given that,

For the graph, 1/2 inch represents 20 miles.

We need to find the distance between the cities on the map if the actual distance between the two cities is 360 miles.

1/2 inch = 20 miles

1 mile = [tex]\dfrac{\dfrac{1}{2}}{20}=0.025\ \text{inches}[/tex]

For 360 miles, = 0.025 × 360

= 9 inches

Hence, the required answer is 9 inches.

Answer:

graph the point (0, -5) and from that point go up 1 unit and to the right 5 units (5, -4) and plot that point; connect the two points

Step-by-step explanation:

The answer is A

Step-by-step explanation:

Answer: x and y = 3

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

hhehehehhehehehehh hope this helps

Answer:

2(4a+b-2)

Step-by-step explanation:

All you need to do is factor out 2 from the expression. (sorry if this is wrong)

Answer:

$13.16

Step-by-step explanation:

Answer:

Just remove the Negative from the number you got for question #1

Example:

|19| = 19

|-19| = 19

|8.2| = 8.2

|-7.8| = 7.8

Answer:

113

Step-by-step explanation:

I have no idea Imao

Answer:

f(x) = -100(1.05)^(x+5) + 50

Step-by-step explanation:

Here, we want to write an equation that represents the transformation

5 units right means 5 units on the positive x-axis

50 units up means we add this to the total y value

So the resulting equation will be;

f(x) = -100(1.05)^(x+5) + 50

Answer:

as per linear pair axiom it will be X + 84= 180

this answer is 106 degrees

Answer:

y=-4x+5

Step-by-step explanation:

8x+2y=10

2y=10-8x

divide by 2

y=5-4x

y=-4x+5

Answer: one hosta = $5

One shrub = $8.

Step-by-step explanation:

Let the cost of one hosta be h

Let the cost of one shrub be s

Kayla spent $80 on 8 hostas and 5 shrubs. This can be written as:

8h + 5s = 80 ..... i

Totsakan spent $85 on 9 hostas and 5 shrubs. This can be written as:

9h + 5s = 85 ..... ii

8h + 5s = 80 ..... i

9h + 5s = 85 ..... ii

Subtract i from ii.

h = 5

The cost of one hosta is $5

Since 8h + 5s = 80

8(5) + 5s = 80

40 + 5s = 80

5s = 80 - 40

5s = 40

s = 40/5 = 8

One shrub cost $8.

Answer:

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -1

(-5, 5)    ⇒   x₀ = -5,  y₀ = 5

The point-slope form of the equation:

y - 5 = -1(x + 5)

So:

y - 5 = -x - 5         {add 5 to both sides}

y = -x             ←  the slope-intercept form of the equation

Answer: $9.26

Step-by-step explanation:

The total cost for each of their smoothies was:

= 4.95 * 2

= $9.90

Including taxes it will rise to:

= 9.90 * (1 + tax)

= 9.90 * (1 + 8.5%)

= $‭10.74

Change she will receive is:

= 20 - 10.74

= $9.26

Answer:

2x-18

Step-by-step explanation:

2(x-9)

distribute the 2 in the ( )

2x-18

Hope this Helps!!!