The function f(x) = -(x-3)² + 9 can be used to represent the area of a rectangle with a perimeter of 12 units, as a
function of the length of the rectangle, x. What is the maximum area of the rectangle?
O3 square units
O 6 square units
O9 square units
O 12 square units

Answer: If i did it right it should be -0.866

Step-by-step explanation:

Chris can obtain a random sample of 50 residents by surveying the first 25 women and 25 men at a grocery store, surveying every 10th woman and every 10th man from a list of people living in the town, surveying one person from every 10th home in the town, or surveying the first 50 people he saw at the airport as he got off the plane.

Random sampling is an important method used to obtain a representative sample of the population of interest. Random sampling involves selecting a sample of elements from a population in such a way that each element has an equal probability of being selected. This ensures that the sample is not biased in any way and that it is representative of the population.In order to obtain a random sample, Chris could use a variety of methods. He could survey the first 25 women and 25 men he met at a grocery store, survey every 10th woman and every 10th man from a list of people living in the town, survey one person from every 10th home in the town, or survey the first 50 people he saw at the airport as he got off the plane.Each of these methods would result in a sample of 50 people that is randomly selected from the population of 500 residents. This would ensure that the sample is representative of the population and that the results of the survey are not biased in any way. Furthermore, the sample size of 50 is large enough to be considered representative of the population of 500.

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The inequality to buy an apple can be given as 2x ≤ 16

The number of apples we can buy is 8

What is an inequality?

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to size-compare two numbers on a number line.

We are given that we have only$16 dollar to buy apples and each costs $2

Let the number of apples we can buy be x

Hence the inequality can be given as

2x ≤ 16

Now dividing both sides by 2 we get,

x ≤ 8

Hence we can buy at most 8 apples

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Answer:

4(x + 6 )= 112

the tangent is only horizontal at the critical points of the equation, so

\(y=2x^3+3x^2-12x+3\implies \cfrac{dy}{dx}=6x^2+6x-12\implies \cfrac{dy}{dx}=6(x^2+x-2) \\\\\\ \stackrel{\textit{setting the derivative to 0}}{0=6(x^2+x-2)}\implies 0=x^2+x-2 \\\\\\ 0=(x+2)(x-1)\implies \boxed{x= \begin{cases} -2\\ 1 \end{cases}} \\\\[-0.35em] ~\dotfill\\\\ y=2(-2)^3+3(-2)^2-12(-2)+3\implies y=-16+12+24+3\implies \boxed{y=23} \\\\\\ y=2(1)^3+3(1)^2-12(1)+3\implies y=2+3-12+3\implies \boxed{y=-4} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \text{\LARGE (-2~~,~~23)\qquad (1~~,~~-4)}~\hfill\)

11 inches on the scale drawing represents 88 feet of the actual cafeteria.

Length is a physical measurement of the size of an object, from one end to the other. It is one of the most common physical measurements used in everyday life. Length is measured in a variety of units, including meters, feet, inches, and centimeters. It is important to note that length does not measure the width, depth, or height of an object, which are all different measurements. Length is used to describe the distance between two points, such as the length of a road or the distance between two cities.

Giselle used a scale of 1 inch : 8 feet. This means that for every inch on the scale drawing, it represents 8 feet of the actual cafeteria. Therefore, 11 inches on the scale drawing represents 88 feet of the actual cafeteria.

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According to the 1.5 outlier rule, there are two outliers.

An outlier is a number that is way smaller or way larger than that of other numbers in a data set.

The 1.5 rule for large outliers is :

Q3 - (1.5 x IQR)

Where:

IQR = 13 - 6 = 7

13 + (1.5 x 7) = 23.50

Outliers are numbers that are greater than 23.50. These are 26 and 39.

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Answer:

hope this helps !

your answer should be FG-220.2 feet

Step-by-step explanation:

The base of the triangle is FH

The perpendicular of the triangle GH=57 feet

The hypotenuse of the triangle is FG

We know that

sin∠F=Perpendicular/Hypotenuse

Hypotenuse= Perpendicular/sin∠F

Hypotenuse= 57/sin∠15

Hypotenuse=220.23109

Round of to nearest tenth

Hypotenuse=220.2 feet

Answer:

an equation between two variables that gives a straight line when plotted on a graph.

Step-by-step explanation:

Answer:

Initial value

177000

Final value

174,876

Decrease

1.2%

Difference

-2,124

Answer:9

Step-by-step explanation: 1+2 is 3 then 6 divided by 2 is 3 then it would be 3 times 3 which equals 9 I think.

Answer:

The answer to your problem is, 9

Step-by-step explanation:

First split up the problem which is

6 ÷ 2

&

1 + 2

6 ÷ 2 =

3.

1 + 2 =

3.

Since there are no equations such as + - / x that means it will be a multiplication problem.

3 x 3 =

9. Which is our answer

Thus the answer to your problem is, 9

Answer: 8nx−7p−6x

Step-by-step explanation:

Answer:

A

Step-by-step explanation:0.25 is a quarter so 1/4 is also a quarter so you juts add the subcalculus and you get the sum

Answer:

shirt box : y=7.5x + 30

just tee: y= 10.5x

Step-by-step explanation:

just got right on edge 2020

Answer:

D on the first one and B on the second.

Step-by-step explanation:

Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.

To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:

1. Write the second row of Pascal's triangle: 1, 1.

2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.

3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.

4. Apply the difference quotient formula: f(x + h) - f(x) / h.

5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.

6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.

7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.

8. Divide both terms in the numerator by h: 2x + h.

9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.

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Therefore, when h = 6 and j = 5, the value of hj - h² is -6.

Arithmetic operations are basic mathematical operations that involve manipulating numbers to perform calculations. There are four main arithmetic operations:

Addition: Adding two or more numbers together. The symbol used to represent addition is "+", and the result is called the sum.

Subtraction: Subtracting one number from another. The symbol used to represent subtraction is "-", and the result is called the difference.

Multiplication: Multiplying two or more numbers together. The symbol used to represent multiplication is "×" or "*", and the result is called the product.

Division: Dividing one number by another. The symbol used to represent division is "÷" or "/", and the result is called the quotient.

These operations can be combined to perform more complex calculations. Additionally, there are other arithmetic operations, such as exponentiation (raising a number to a power) and finding roots, which involve using arithmetic principles.

by the question.

To evaluate the expression hj - h² for h = 6 and j = 5, we simply substitute these values into the expression and perform the arithmetic operations:

hj - h² = (6)(5) - 6²

= 30 - 36

= -6

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Answer:

X= 110/7 or 15.7 or rounded to 16

Answer:

x=15.714285

Step-by-step explanation:

-0.35x=-3-2.5

-0.35x=-5.5

-0.35/-0.35= -5.5/0.35

X=-5.5/-0.35

X=15.714285

The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.

The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.

The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.

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Answer:

I would divide each loaf into 4 pieces, which gives eight. There would be one piece left over.

Step-by-step explanation:

Answer:

3a/b^8

Step-by-step explanation:

Answer:

you have to copy and paste it onto google

Step-by-step explanation:

To answer this question, we need to compare the ratios of miles traveled to gallons of gas used for car A and car B when they both use 1 gallon of gas.

For car A, we can see from the graph that 50 miles are traveled for every 2 gallons of gas used, or in other words, 25 miles are traveled for every 1 gallon of gas used. Therefore, car A can travel 25 times the distance for 1 gallon of gas.

For car B, we can see from the table that 40 miles are traveled for every 2 gallons of gas used, or in other words, 20 miles are traveled for every 1 gallon of gas used. Therefore, car B can travel 20 times the distance for 1 gallon of gas.

To compare the two ratios, we can divide the ratio of miles traveled to gallons of gas used for car A by the ratio for car B:

25/20 = 1.25

Therefore, car A can travel 1.25 times the distance car B can travel when both cars use 1 gallon of gas.

Answer:

There are 12 boys and 18 girls

Step-by-step explanation:

Equations

There are 30 students in a class. Let's call:

x = number of boys

Since the sum of boys and girls is 30:

30 - x = number of girls

The ratio of boys to girls is 2:3, thus:

\(\displaystyle \frac{x}{30-x}=\frac{2}{3}\)

Crossing denominators:

3x = 2(30 - x)

Operating the parentheses:

3x = 60 - 2x

Adding 2x:

5x = 60

Dividing by 5:

x = 60/5 = 12

x = 12

There are 12 boys and 30-12=18 girls

Answer:

2x + 2y = 4  does not belong

Step-by-step explanation:

2x + y = 4     → y = -2x + 4

y = -2x + 4    → y = -2x + 4

f(x) = -2x + 4 → y = -2x + 4

2x + 2y = 4   → y = -x + 2

Answer:

The Answer is A. The height of the water increases 0.3cm per year. I Just took the Quiz and And got it correct

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

The cost of 20 T-Shirt will be 2560 when cost of one t-shirt is 128.

When a selling price and profit are provided, cost price equals selling price plus profit. When the selling price and loss are disclosed, cost price equals selling price plus loss.

Profit is calculated as S.P. - C.P. If the selling price is less than the cost price, the difference between the two is the loss incurred. Loss is also equal to C.P. - S.P.

We must divide the gross profit by the entire revenue for the year, multiply by 100, and then find the gross profit margin. We must divide net income (or net profit) by the entire annual revenue before multiplying the result by 100 to get the net profit margin.

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Step-by-step explanation:

\( \frac{1}{4} \boxed{?} \frac{3}{8} \\ \\ \frac{1}{4} = \frac{2}{8} \\ \\ \because \: 2 < 3 \\ \therefore \: \frac{1}{4} \boxed{ < } \frac{3}{8} \)

The linear function for the total cost C is:

A function is an expression, rule, or law that defines a relationship between one variable.

Example:

\(f(\text{x}) = 2\text{x} + 1\)

\(f(1) = 2 + 1 = 3\)

\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The total cost for x cubic yards.

\(\bold{C = 28 + 48x}\)

Thus, the function is C = 28 + 48x.

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Answer:

4(2 on top) + 3(2 on top) + 2(2 on top)

Step-by-step explanation: