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gulaghasi [49]
3 years ago
14

John owns a hot dog stand. He has found that his profit is represented by the equation p(x)=-x^2+62x+77, with p being profits an

d x the number of hot dogs sold. How many hot dogs must he sell to earn the most profit?
Mathematics
2 answers:
dedylja [7]3 years ago
4 0
Using a graphing calculator you can find that the maximum is 1038, so the profit starts to decline at the t value for <span>1038</span>, which is 31


hram777 [196]3 years ago
4 0
We want to maximize the profit, p(x) = -x^2 + 62x + 77.  
The graph of this function is a parabola that opens down.  The x-coordinate of the vertex is x = -b/(2a), which here is x = -62 / (2*-1), or 31.  So, we'll maximize John's profit if we advise him to sell 31 hot dogs.
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#2 and please provide explaination !
quester [9]

Answer:

Total overripe fruit = 48

Step-by-step explanation:

<em>Step 1: Assume the value of oranges</em>

Let oranges be x

Oranges = x

Apples = 32 + x

Overripe oranges = 3/5 of oranges

                              = 3x/5

Overripe apples = 1/3 of apples

                           = 1/3 (32 + x)

<em>Step 2: Find x (oranges)</em>

<em>Number of overripe apples and number or overripe oranges are equal.</em>

3x/5 = 1/3 (32 + x)

3 (3x) = 5(32 + x)

9x = 160 + 5x

4x = 160

x = 40

<em>Step 3: Find the total number of overripe fruit.</em>

Total overripe fruit = Overripe apples + Overripe oranges

Total overripe fruit = 1/3 (32 + x) + 3x/5

Total overripe fruit = 1/3 (32 + 40) + 3(40)/5

Total overripe fruit = 24 + 24

Total overripe fruit = 48

!!

4 0
3 years ago
Dose Congruent Mean Having The Same Measure​
Julli [10]

So Congruent. Two figures are congruent if they have the same shape and size. Two angles are congruent if they have the same measure. Two figures are similar if they have the same shape but not necessarily the same size.

I hope that help u:)

4 0
3 years ago
How to solve this :') please help
blsea [12.9K]

Answer:

3/2

Step-by-step explanation:

sin(3π/4 - β) = sin(3π/4)cosβ - cos(3π/4)sinπ =

\sin(\frac{3\pi}{4}-\beta)=\sin(\frac{3\pi}{4})\cos\beta-\cos\frac{3\pi}{4}\sin\beta\\=\frac{1}{\sqrt{2}}\cos\beta-(-\frac{1}{\sqrt{2}})\sin\beta\\\\=\frac{1}{\sqrt{2}}(\cos\beta +\sin\beta)\\\\\sin^2(\frac{3\pi}{4}-\beta)=\frac{1}{2}\cos\beta +\sin\beta)^2=\frac{1}{2}(\cos^2\beta +\sin^2\beta+2\sin\beta\cos\beta\\=\frac{1}{2}(1+\sin2\beta)=\frac{1}{2}(1-\frac{1}{5}) = \frac{2}{5}\\

Use \cot^2x=\csc^2x-1=\frac{1}{\sin^2x}-1

so

\cot^2(\frac{3\pi}{4}-\beta)=\frac{1}{\sin^2(\frac{3\pi}{4}-\beta)}-1 = \frac{1}{\frac{2}{5}}-1=\frac{5}{2}-1=\frac{3}{2}

7 0
2 years ago
What is the area of the figure?
natima [27]
The answer is 88 in sq


Explanation: you need to multiply the length a width of each shape then add them all together.
5 0
3 years ago
Read 2 more answers
PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!<br><br><br><br><br><br> Only need 4b and 4c
JulsSmile [24]

ANSWER:

b) No

c) Yes

EXPLANATION:

3 (x+1)=3x+3

b)

3 (-8 + 1) = 3 x -8 + 3

(3 x -8) (3 x +1) = 3 x -8 + 3     (just put left and right sides into calcu separately)

-72 = -21

Both sides are not equal and therefore it isn't a solution.

c)

3 (0.5 + 1) = 3 x 0.5 + 3

(3 x 0.5) (3 x +1) = 3 x 0.5 + 3

4.5 = 4.5

Both sides are equal and thereofre it IS a solution.

6 0
3 years ago
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