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vitfil [10]
1 year ago
11

A bakery is collecting data to investigate how changing the price charged for a loaf of bread affects the bakery’s daily profit.

The graph shows the data the bakery has collected. Which quadratic function is the best model for the data? y = − 8 ( x + 4 ) 2 + 800 y = − 8 ( x + 4 ) 2 + 800 y = − 8 ( x − 4 ) 2 + 800 y = − 8 ( x − 4 ) 2 + 800 y = − 200 ( x + 4 ) 2 + 800 y = − 200 ( x + 4 ) 2 + 800 y = − 200 ( x − 4 ) 2 + 800
Mathematics
1 answer:
RSB [31]1 year ago
6 0

Considering the vertex of the graph, it is found that the quadratic function that is the best model for the data is given by:

y = -200(x - 4)^2 + 800

<h3>What is the equation of a quadratic function given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)^2 + k

In which a is the leading coefficient.

Researching the problem on the internet, it is found that the vertex is at point (4,800), hence h = 4 and k = 800.

y = a(x - 4)^2 + 800

It has a value of y = 0 at x = 6, hence:

0 = a(6 - 4)^2 + 800

a = -200

Thus, the model is:

y = -200(x - 4)^2 + 800

More can be learned about quadratic functions at brainly.com/question/24737967

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The population of cats in a rural neighborhood has declined in the last year by roughly 30%. Residents hypothesize that this is
zvonat [6]

Answer:

Orinal number of cats=  171

Step-by-step explanation:

Giving the following information:

Decrease in population= 30%

Current population= 120

<u>To calculate the original number of cats, we need to use the following formula:</u>

Orinal number of cats= current population / (1 - decrease)

Orinal number of cats= 120 / (1 - 0.3)

Orinal number of cats=  171

8 0
2 years ago
Four ninths plus nine eighteenths :]
goldenfox [79]

Answer:  17/18

In words, this is seventeen eighteenths

==========================================

Work Shown:

4/9 + 9/18

8/18 + 9/18 ... see note below

(8+9)/18

17/18

----------------

note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.

The diagram below shows a visual representation of why 4/9 = 8/18.

In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.

8 0
2 years ago
Jennifer earned $1000 babysitting over the summer. She spent $250 of her earnings on new clothes. What percent of her earnings d
emmainna [20.7K]

Answer:

25%

Step-by-step explanation:

she earned $1,000

she spent $250

250/1000 = 0.25

0.25 x 100 = 25%

4 0
2 years ago
Read 2 more answers
I WILL GIVE Brainiest IF YOUR RIGHT
n200080 [17]
It would be B, 6.5 inches
4 0
2 years ago
Find the equation of a line that passes through the given points<br>(-6,-5) and (6,-13)
NeTakaya

Answer:

y+5=-3/4(x+6)

or in slope intercept

y= -3/4x-38/4

Step-by-step explanation:

To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:

m=\frac{y_2-y_1}{x_2-x_1}=\frac{-5--13}{-6-6}=\frac{-5+13}{-6+-6}=\frac{8}{-12}=\frac{-3}{4}

Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y--5)=-3/4(x--6)

y+5=-3/4(x+6)

y+5=-3/4x-18/4

y=-3/4x-18/4-20/4

y= -3/4x-38/4



5 0
3 years ago
Read 2 more answers
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