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2 years ago

What’s the number of pretzels that must be sold if the equation is P(x)=-4x^2+3200x-100

Mathematics

1 answer:

cupoosta [38]2 years ago

7 0

The number of pretzels that must be sold to maximize the profit is 400.

<h3>What is the number of pretzels to be sold in the quadratic equation?</h3>

The number of pretzels to be sold can be determined by taking the derivative of the quadratic equation.

Given that:

P(x) = -4x^2+3200x-100

P'(x) = -8x + 3200

P''(x) = -8

At the critical point;

P'(x) = 0

Thus;

8x = 3200

x = 3200/8

x = 400

P''(400) = -8

P'' (400) < 0

Therefore, at x = 400, P(x) will be maximum.

Learn more about calculating the derivative of a quadratic equation here:

brainly.com/question/13759985

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A student raises her grade average from a 75 to a 90. what was the percent of increase in the student's grade average? round you

Leona [35]

Here are some formulas...
percent increase = (new number - original number) / original number...* 100
percent decrease = (original number - new number) / original number...* 100
============
a student raises her grade from a 75 to a 90....since it is going from a smaller number to a larger number, u have an increase
percent increase = (90 - 75) / 70....* 100
= 15/70 * 100
= 0.2142 * 100
= 21.42 rounds to 21.4% increase
-------------------------
36.50 on sale for 32.12...since it goes from a larger number to a smaller number, u have a decrease
percent decrease = (original number - new number) / original * 100
= (36.50 - 32.12) / 32.12...* 100
= 4.38 / 32.12...* 100
= 0.1363...* 100
= 13.63 rounds to 13.6% decrease
------------------------------
23.5 to 21.2......this is a decrease
percent decrease = (original number - new number) / original...* 100
= (23.5 - 21.2) / 23.5....* 100
= 2.3 / 23.5....* 100
= 0.0979 * 100
= 9.79 rounds to 9.8% decrease

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3 years ago

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I need help on this if you know all the answers that would be great but if not I understand I am just struggling

tatyana61 [14]

Answer:

1. 8x+9

2. 3x + 11

3. 9x + 8

4. 11x+9

5. 6x

6. 10x+ 8

7. 7x+7

Step-by-step explanation:

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2 years ago

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0÷2 answer right now 0÷2= right now

77julia77 [94]

0/2=0 because anything divided by zero is zero.

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3 years ago

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kelly subscribes to a service called mysongs for downloading music she pays a $7 fee each month to download an unlimited numbers

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subtract the fee from the total to get the amount actually spent on songs

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3 years ago

A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salari

guajiro [1.7K]

Answer:

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

$F_{critical} = 1.8608$

$F = 2.9085$

The decision rule is

Reject the null hypothesis

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 30$

The sample variance for elementary school is $s^2_1 = 8324$

The second sample size is $n_2 = 30$

The sample variance for the secondary school is $s^2_2 = 2862$

The significance level is $\alpha = 0.05$

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

Generally from the F statistics table the critical value of $\alpha = 0.05$ at first and second degree of freedom $df_1 = n_1 - 1 = 30 - 1 = 29$ and $df_2 = n_2 - 1 = 30 - 1 = 29$ is