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3 years ago

How do I find the maximum value for each function and determine which function has the largest maximum y-value?

Mathematics

1 answer:

Sonja [21]3 years ago

7 0

Hey!!

Answer: f(x) = -4(x-6)^2 + 3

Maximum value is found by solving the root of the first derivative. that root is where the maximum value is.

f ' (x) = -8(x - 6) = 0.

So x = 6 and that's the maximum value. f(6) = 3

2cos(2x - π) + 4 is a trig function. The maximum value of cosine function is 1.

So the maximum value would be 2(1) + 4 = 6.

Hope this helps!

~LENA~

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Fei Yen's dog eats 8 ounces of dog food each day.Fei Yen's bought a 28 pound bag of dog food.How many 8 ounce servings are in a

joja [24]

Answer:

Step-by-step explanation:

Recall that 1 lb = 16 oz, meaning that 1/2 lb = 8 oz.

Thus, we need only divide 28 lb by 1/2 lb to determine the number of 8 oz servings are contained in a 28 lb bag of dog food:

28 lb

--------------------- = 56 8-oz servings

1/2 lb/ serving

8 0

3 years ago

Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States. In Australia, only 1.5% of

Naddik [55]

Answer:

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

Step-by-step explanation:

For each U.S. resident, there are only two outcomes possible. Either they have blood type AB, or they do not. This means that we can solve this problem using binomial probability distribution concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem, we have that:

50 U.S residents are sampled, so $n = 50$

4% of the U.S population has blood type AB, so $p = 0.04$ .

What is the probability that exactly 2 of the U.S. residents have blood type AB?

This is P(X = 2). So:

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 2) = C_{50,2}.(0.04)^{2}.(0.96)^{48} = 0.2762$

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

5 0

3 years ago

What’s the answer (no link I give brainly)

mixer [17]

Answer:

I belive it is C

Step-by-step explanation:

6 0

3 years ago

The Morris family rented

Taya2010 [7]

The total amount spent on gas is $9.

<h3>How much is spent on gas?</h3>

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the method that is used to add a number by itself a particular number of times. The sign used to denote multiplication is x. Other mathematical operations are subtraction, division and addition.

In order to determine the total amount spent on gas, multiply the cost of one gallon by the number of hours skied and the amount of galloons used per hour.

The total amount spent on gas = cost of one gallon of gas x number of hours skied x number of gallons used per hour

2 x 3 x $2.25 = $9

To learn more about multiplication, please check: brainly.com/question/3385014

#SPJ1

6 0

1 year ago

Zara has a rectangular garden. The length of her garden is 12 feet and the width is 7 feet. She extends the width

prisoha [69]

Given the perimeter and length of the garden, the width of the garden was extended by 4 feet

<h3>How to find width of the garden</h3>

Length of the garden = 12 feet
Width of the garden = 7 feet

Width extension =( 7 + w) feet

Perimeter = 46 feet

Perimeter = 2(length+ width)

46 = 2{12 + (7 + w)}

46 = 2(12 + 7 + w)

46 = 2(19 + w)

46 = 38 + 2w

46 - 38 = 2w

8 = 2w

w = 8/2

w = 4 feet

Learn more about perimeter:

brainly.com/question/24571594

4 0

2 years ago