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Lemur [1.5K]
3 years ago
6

John owns a hotdog stand. He has found that his profit is represented by the equation P=-x^2+78x+89, with P being the profit in

dollars,and x the number of hotdogs sold. How many hotdogs must he sell to earn the most profit?
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0
He must sell 158 hot dogs
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What is the product of 3.39 and 10(2)
vladimir2022 [97]
10(2) = 20
20 x 3.39 = 67.8

So, the product of 3.39 and 10(2) is 67.8.
6 0
3 years ago
Can you help me graph and list the (Zeros, Maximums, Minimums, Asymptotes)
Marina86 [1]

The zero of the function is at 33.69 degree , the graph is plotted and attached with the answer.

<h3>What is a Function ?</h3>

A function is a law that relates a dependent variable and an independent variable with each other

It is given that

y = 2tan (x - π/2) +3

To find the zeroes of a function that function has to be equated to zero.

2tan (x - π/2) +3 = 0

2tan (x - π/2)  = -3

tan (x - π/2)  = -3/2

x - 90 = -56.31

x = 33.69 degree

The zero of the function is at 33.69 degree

For finding the maxima /minima

the derivative is

dy/dx = 2 sec² (x - π/2)

the point at which the slope is zero is substituted in the second derivative to find maxima/minima

d²y/dx² = 4 sec² (x - π/2) tan (x - π/2)

if the value is negative then it is a maxima and if it is positive it is a minima.

The vertical asymptote is found by finding the values that make the function undefined

x = 0+ πn

No horizontal or oblique asymptote

To know more about Function

brainly.com/question/12431044

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5 0
1 year ago
True or false: Exterior angles are the angles created when the sides of the triangle are shortened.(1 point)
Lady_Fox [76]

Answer:

This statement is false. Exterior angles are the angles created when the sides of the triangle are extended.

Step-by-step explanation:

Exterior angles are the angle between the any reference side and line extended from the adjacent side.

the sum of exterior and interior angle is 180 as it lies on a straight line.

_______________________________________________

based on above definition the given statement becomes false.

Hence, correct choice is option third

This statement is false. Exterior angles are the angles created when the sides of the triangle are extended.

5 0
3 years ago
A students grade goes from a 95 to a 60 in 3 weeks. Calculate the students rate of grade change.
adoni [48]

Answer: The rate of change is 11.6666...

Step-by-step explanation:

You subtract 95 by 60 and you get 35.

You divide it by 3 because it happened over 3 weeks.

After dividing your answer is 11.6666...

6 0
3 years ago
I need help answering this ASAP
Leokris [45]
Answer:

x greater than and equal to -7

Step-by-step explanation:

Parabola touches at -7 and is going straight towards all positive integers

Therefore the domain is all numbers greater than or equal to -7
8 0
2 years ago
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