The function y= -3(x-2)^2 +6 shows the daily profit in hundreds of dolars of a hot dog stand where x is the price of a hot dog in dollars find and interpret the zeros of this function

Answer:

C=4x+3y Constraints: x is greater than or equal to 0 2x + 3y is greater than or equal to 6 3x - 2y is less than or equal to 9 x + 5y is less than or equal to 20

A, Time (pages)

Explanation

Step 1

define

independent variable= reading the page

dependent variable=time needed it to complete it

Hence,

the time needed it for complete the task depend of the page,then

I hope this helps you

Uncle Makhosi needs approximately 1.56 kilograms of butter.

To determine the amount of butter in kilograms, we'll use the conversion rate of 1 kg = 2.25 pounds.

First, we need to convert 3 and a half pounds to a decimal form. Since half a pound is equal to 0.5 pounds, we can express 3 and a half pounds as 3.5 pounds.

Next, we'll use the conversion rate to calculate the equivalent weight of 3.5 pounds in kilograms:

3.5 pounds * (1 kg / 2.25 pounds) = 1.56 kilograms (rounded to two decimal places).

To summarize, based on the given conversion rate of 1 kg = 2.25 pounds, Uncle Makhosi requires approximately 1.56 kilograms of butter to fulfill his 3 and a half pound requirement. This conversion can be useful when dealing with different units of measurement, allowing us to easily switch between kilograms and pounds.

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The interest will she earn in 1year is $45 if Rachel has $900 in a savings account. The interest rate is 5% per year and is not compounded.

What is Simple Interest ?

Simple Interest can be defined as the ratio of product of principal amount, time, rate and hundred.

Given ,

Rachel has $900 in a savings account. The interest rate is 5% per year and is not compounded.

we have to find interest will she earn in 1year

so we know that,

I  = PTR

I = 900*(0.05)*1

I = $45

So, The interest could be $45.

Therefore, The interest will she earn in 1year is $45 if Rachel has $900 in a savings account. The interest rate is 5% per year and is not compounded.

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Answer:

H=25

I=36

Step-by-step explanation:

If a sample size is one-fourth the original size, the margin of error will be affected. Specifically, the margin of error will be affected inversely proportional to the square root of the sample size.

Halving the sample size (from the original) will cause the margin of error to increase by a factor of square root of 2, approximately 1.41.

Doubling the sample size (from the original) will cause the margin of error to decrease by a factor of square root of 2, approximately 0.71.

Quadrupling the sample size (from the original) will cause the margin of error to decrease by a factor of square root of 4, approximately 0.5.

Therefore, if the sample size is reduced to one-fourth the original size, the margin of error will be doubled, because the square root of 4 is 2. Conversely, if the sample size is increased fourfold, the margin of error will be halved, because the square root of 1/4 is 1/2.

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Answer:

2,-3

Step-by-step explanation:

Because that's where the lines intercept, the other answers either have the wrong x and y or x and y switched.

Answer:

$116

Step-by-step explanation:

The Simple Interest formula is i = prt.  Here,

i = ($1,450)(0.04)(2 yr) = $116

The unknown angles are as follows:

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, linear angles, alternate angles etc.

Therefore,

∠1 = 110 degrees(given)

∠2 = 180 - 110 (sum of angles on a straight line)

∠2 = 70°

∠3 = ∠1 (vertically opposite angles)

Vertically opposite angles are congruent.

Therefore,

∠3 = 110°

∠2 = ∠4 (vertically opposite angles)

∠4 = 70°

∠1 = ∠5 (corresponding angles)

Corresponding angles are congruent

∠5 = 110°

∠6 = ∠4(alternate angles)

Alternate angles are congruent.

∠6 = 70°

∠1 = ∠7 (alternate exterior angles)

∠7 = 110°

∠2 = ∠8(alternate exterior angles)

∠8 = 70°

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Answer:

\((C) \dfrac{x+3}{x}\)

Step-by-step explanation:

We want to determine an  equivalent expression to:

\(\dfrac{x}{x-3} \div \dfrac{x^2}{x^2-9}\)

Step 1: Factorise \(x^2-9\) using the difference of two squares.

\(x^2-9=x^2-3^2=(x-3)(x+3)\)

Step 2: Change the division sign to multiplication

\(\dfrac{x}{x-3} \times \dfrac{(x-3)(x+3)}{x^2}\)

Step 3: Cancel out common terms and simplify

\(= \dfrac{x+3}{x}\)

The correct option is C.

The expression equivalent to given expression is \(\frac{x+3}{3}\)

Given expression is,

                        \(\frac{x}{x-3}\div\frac{x^{2} }{x^{2} -9}\)

Use factorization,   \(x^{2} -9=(x-3)(x+3)\)

Now simplify the given expression.

                       \(\frac{x}{x-3}\div\frac{x^{2} }{x^{2} -9}\\\\=\frac{x}{x-3}*\frac{(x-3)(x+3)}{x^{2} } \\\\=\frac{x+3}{x}\)

Hence, the expression equivalent to given expression is \(\frac{x+3}{3}\)

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Answer:

5

Step-by-step explanation:

12-7=x

x=5

Do you have a picture of the mathmatic problem?

The present value P0 of $200,000 due in 4 years at an interest rate of 4% compounded continuously is $170,620.

To find the present value P0 of the amount P = $200,000 due t = 4 years in the future and invested at interest rate k = 4%, compounded continuously, we can use the formula for continuous compound interest:

P0 = P * e^(-kt)

Where P is the future value, k is the interest rate, and t is the time in years.

Plugging in the given values, we have:

P0 = $200,000 * e^(-0.04 * 4)

Simplifying this expression:

P0 = $200,000 * e^(-0.16)

Using a calculator or computer software, we can evaluate e^(-0.16) to be approximately 0.8531.

Therefore, the present value P0 of $200,000 due in 4 years at an interest rate of 4% compounded continuously is:

P0 = $200,000 * 0.8531

= $170,620.

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Answer:

A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc. In each case the first quantity is related to 1 unit of the second quantity.

Step-by-step explanation:

Answer:

A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc. In each case the first quantity is related to 1 unit of the second quantity.

Step-by-step explanation:

The area of the circle which is drawn by tracing around the edge of the quarter on a sheet of paper is 0.78 in.²

All points in a plane that are at a specific distance from a specific point, the centre, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

Each of the four equally sized pieces that make up a circle is known as a quarter of a circle. The quadrant of the circle is the name given to each quarter. One-fourth of the total area of the circle is represented by the area of a quarter circle.

Given,

the diameter of the quarter  = 1 in.

When we trace around the edge of the quarter on a sheet of paper, we get a circle of diameter 1 in.

So the radius of the circle r = 1/2 = 0.5 inches

Area of the circle on the paper = πr² = 3.14 × 0.5² = 0.78 in.²

Therefore the area of the circle which is drawn by tracing around the edge of the quarter on a sheet of paper is 0.78 in.²

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Answer:

To subtract 1/2 from 7/10, we need to find a common denominator. The least common multiple of 2 and 10 is 10, so we can convert 1/2 to 5/10:

7/10 - 5/10 = (7 - 5)/10 = 2/10 = 1/5

Therefore, 7/10 - 1/2 = 1/5.

Answer:

To subtract 1/2 from 7/10, we need to find a common denominator. The least common multiple of 2 and 10 is 10, so we can convert 1/2 to 5/10:

7/10 - 5/10 = (7 - 5)/10 = 2/10 = 1/5

Therefore, 7/10 - 1/2 = 1/5.

The mean monthly rainfall amount for City A is 3 inches, and for City B is 3.5 inches. To find the mean monthly rainfall amount for each city, we need to calculate the average of the rainfall values over the given 6-month period.

For City A:

The rainfall amounts for City A over the 6-month period are: 3, 2.5, 4, 4.5, 3, 1.

To find the mean, we add up all the rainfall amounts and divide by the number of months (6).

Sum of rainfall values for City A: 3 + 2.5 + 4 + 4.5 + 3 + 1 = 18 inches.

Mean monthly rainfall for City A: 18 inches / 6 months = 3 inches.

For City B:

The rainfall amounts for City B over the 6-month period are: 6, 4, 1.5, 3.5, 2, 4.

To find the mean, we add up all the rainfall amounts and divide by the number of months (6).

Sum of rainfall values for City B: 6 + 4 + 1.5 + 3.5 + 2 + 4 = 21 inches.

Mean monthly rainfall for City B: 21 inches / 6 months = 3.5 inches.

Therefore, the mean monthly rainfall amount for City A is 3 inches, and for City B is 3.5 inches.

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Answer:

The inequality for x is x > 36

(In interval notation form it is (36, ∞)

Step-by-step explanation:

Multiply to remove the fraction, then set equal to zero and solve.

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Step-by-step explanation:

-12.8x + b = -3.2(4x - 2.1) + 2.4 =

= -12.8x + 6.72 + 2.4

b = 6.72 + 2.4 = 9.12

Answer:

Step-by-step explanation:

...... The problem is glitched re send the image/

Answer:-250,000

Step-by-step explanation:

Answer:

460

Step-by-step explanation:

138+138+92+92=460

The value of  x³(x³ - 18) if x(x - 3) = -1 is -1.

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

We have been given that

x(x - 3) = -1 ....... eq(1)

Find out the value of

x³(x³ - 18) ........eq(2)

We first simplify the value of x in equation (1)

x(x−3)=−1

Divide by x on both side

x(x−3)/x = −1/x

(x−3)=−1 /x

Rewrite as

x + 1/x = 3

Taking cube on both sides

(x + 1/x)³ = 3³

x³ + (1/x)³ = 27 - 3×3

x³ + (1/x)³ = 27 -  9

x³ + (1/x)³ = 18

Multiply by x³

x^6 + 1 = 18x³

x^6 - 18x³ = -1

x³(x³ - 18) = -1

Hence, the value of equation x³(x³ - 18) is also -1.

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Answer:

I thinks

Step-by-step explanation:

Option (B) Yes, it is proportional because the ratios for miles per hour are all equivalent to 1.25 miles per hour is correct.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

It is given that:

A group of hikers tracked how long it took to hike a 10-mile trail. They hiked 2.5 miles in 2 hours, 7.5 miles in 6 hours, and 8.75 miles in 7 hours.

From the data given:

Ratio = distance/time

2.5 / 2 = 1.25 miles per hour

7.5 / 6 = 1.25 miles per hour

8.75 / 7 = 1.25 miles per hour

Thus, option (B) Yes, it is proportional because the ratios for miles per hour are all equivalent to 1.25 miles per hour is correct.

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Answer:

"a[b(b + 6) +7(a²-2)]" (the third one)

Step-by-step explanation:

The total number of coins in Lucy's coin collection is equal to 80 coins.

Given the following data:

A percentage can be defined as any number that is expressed as a fraction of hundred (100).

Let the total number of coins be T.

\(\frac{15}{100} \times T = 12\\\\0.15T=12\\\\T=\frac{12}{0.15}\)

T = 80 coins.

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