A 5 pound bag of potatoes costs $2.77 while the store also sells individual potatoes for $0.59 per pound to make enough mashed potatoes to feed everyone at thanksgiving dinner you will need 7 pounds of potatoes

The equation of the parabola whose focus is (-2,2) and whose directrix is x​= -8 is [tex](y+2)^2=-20(x+5)[/tex]

The standard formula for finding an equation of a parabola is expressed as [tex]y^2=4ax[/tex]

If the curve is shifted to the left and down, the equation becomes [tex](y-k)^2=4a(x-h)[/tex] where:

(h, k) is the vertex of the parabola

If the focus is at (-2, 2) and the directrix is at x = -8, the equivalent vertex of the parabola will be at (-5, -2) and the midpoint between the vertex and directrix is at a = -5

Substitute these values into the formula of the parabola.

[tex](y-k)^2=4a(x-h)\\(y-(-2))^2=4(-5)(x-(-5))\\(y+2)^2=-20(x+5)\\[/tex]

Hence the equation of the parabola whose focus is (-2,2) and whose directrix is x ​​= -8 is [tex](y+2)^2=-20(x+5)[/tex]

Learn more here: https://brainly.com/question/7243813

Answer:

Step-by-step explanation:

You can setup a proportion as follows:

4 lb = 9000 ft2

x lb = 25000 ft2

Solve for x = 25000 ft2 x 4 lb / 9000 ft2 = 11.11 lb ~ 11 lb rounded to a whole number

Answer:

No

Step-by-step explanation:

17/10 is not proportional to 12/5. Proportional relationships are relationships between two variables where their ratios are equivalent.  17/10 as a ratio is 17:10 and 12/5 as a ratio would be 12:5. A proportional relationship for 12/5 would be 24/10.

Hope this helps :)

No, 17/10 and 12/5 do not form a proportion.

A proportion is an equation that sets two ratios at the same value.

We have two fractions,

17/10 and 12/5.

That means,

17/10 = 1.7

And 12/5 = 2.4

And 1.7 is not equals to 2.4.

So, the fraction does not show the proportional relationship.

Therefore,  the fraction does not show the proportional relationship.

To learn more about the proportion:

https://brainly.com/question/7096655

#SPJ2

Answer:

31200=300.5%

Step-by-step explanation:

31200=3+1200

=31+1200

=(31×200200)+1200

=600200+1200=601200

We know that

601200

is the same as

601÷200

Then using

gives us

=3.005

Convert the decimal to a percent:

3.005×100

and rounding to a Max of 2 Decimal Places

=300.5%

Answer: 100

Step-by-step explanation: 50 x 1/2=100

Answer: ???

Step-by-step explanation:

Answer:

Step-by-step explanation:

The volume of the tank= (50x30X20) cm^3

                                       = 30000cm^3

                                       = 30 l

1 l costs 300 tk

therefore 30 l costs= 30X300 taka

                                = 90000 taka

Answer:

The amount of discount is $120

The sale price is $480

Step-by-step explanation:

The amount of discount = Original price × the Percentage off

The amount of discount = $600 × 20 %

The amount of discount = $600 × .20

The amount of discount = $120

The sale price = Original price - Discount

The sale price = $600 - $120

The sale price = $480

If f(x) = g(x)

Then :

(x-4)/(x²+1) = (x² - 4) / (x²+ 1)

We can simplify on both sides by x² + 1 :

x - 4 = x² - 4

x = x²

x - x² = 0

x(1-x) = 0

So either x = 0, or x = 1

S = {0,1}

Good Luck

Answer:

Step-by-step explanation:

( x , y )

( 0 , - 4 )

( 1 , - 1.5 )

[tex]y_{1}[/tex] = - 4

[tex]y_{2}[/tex] = - 1.5

Answer: Thus, after the transformation, the graph consists of points (x,y) satisfying y=2(x−3)2. This is the equation of the transformed graph.

Step-by-step explanation:

Consider the graph y=x2. Suppose the graph is dilated from the x-axis by a factor of 2, and then translated 3 units to the right. What is the equation of the resulting graph?

Solution

The transformation given is Trans(3,0)∘Dilx-axis,2. Denote by (x′,y′) the image of a point (x,y) under this transformation. A point (x,y) is sent to (x,2y) by the dilation, and then to (x+3,2y) by the translation, so (x′,y′)=(x+3,2y).

The original graph consists of points (x,y) such that y=x2. Then it is transformed so that (x,y)↦(x′,y′)=(x+3,2y). We must find what equation is satisfied by x′ and y′.

Since x′=x+3 and y′=2y, we have x=x′−3 and y=y′/2. Thus y=x2 implies

y′2=(x′−3)2or equivalentlyy′=2(x′−3)2.

Answer:

f^-1(x) = [ln (x + 4)]/2

Step-by-step explanation:

f(x) = e^(2x) - 4

y = e^(2x) - 4

x = e^(2y) - 4

x + 4 = e^(2y)

ln (x + 4) = ln (e^(2y))

ln (x + 4) = 2y

y = [ln (x + 4)]/2

f^-1(x) = [ln (x + 4)]/2

Answer:

I think 25.5678

it's the correct answer

Step-by-step explanation:

gamsahamnida

Answer:

m = -6 (slope)

b = (1/2)

The Y posistion is (0, 0.5) and the slope of the graph is -6/1 (down 6, right 1).

Some examples of where the line is could be:

(1, -5.5)

(-1, 6.5)

Anwser: 12 feet long

Answer:

pulmonary function is the blood or gas flow from or to the lungs

Step-by-step explanation:

the lungs take in oxygen and take out c02

The lungs' main role is to bring in air from the atmosphere and pass oxygen into the bloodstream. From there, it circulates to the rest of the body. Help is required from structures outside of the lungs in order to breathe properly.

[tex](a)\\\\m=6.1\times 10^{-5},~~ t=1.7 \times 10^{-6} \\G = \sqrt{\dfrac{m}{t^2}} = \sqrt{\dfrac{6.1\times 10^{-5}}{\left(1.7 \times 10^{-6}\right)^2} } ~=4590\\\\\\(b)\\\\m=6.1\times 10^{-5}(1+ 8\%) = 6.1\times 10^{-5}(1+0.08) = 0.0000648\\\\t=1.7\times 10^{-6}(1+ 5\%)= 1.7\times 10^{-6}(1+0.05) =0.000001785\\\\\\G=\sqrt{\dfrac{m}{t^2}} = \sqrt{\dfrac{0.0000648}{(0.000001785)^2}}=4510[/tex]

Answer:

The quotient is 10x+16

The remainder is 28x^2+10x+22

Answer:

i think it would round to 4031.08

Step-by-step explanation:

3200.00 * 1.08^3

=4032.0784

Answer:

the answer is A

I followed the point slope formula and added in the x and y values

Answer: True

Step-by-step explanation: Because the solutions can not land on the dotted lines.

Answer:

A

Step-by-step explanation:

Because the x doesn't repeating

Hope it can help you lovelots

#LEARN WITH BRAINLY

Answer:

0.014

Step-by-step explanation:

Minused old price from New then divided the answer by the old price then divided that by 6 to get yearly inflation

Answer:

Knewton as of May 15, 2022 8.70%

Step-by-step explanation:

Using the given confidence interval, it is found that the correct option is:

The 95% confidence interval is (0.289, 0.416).

Using the above justification, the correct option is:

A similar problem is given at https://brainly.com/question/17097944