The vertices of a square are located at (-4,0), (-7,0),(-4,3) and:

The linear inequality of the graph is: -x + 2y + 1 > 0

First, we calculate the slope of the dashed line using:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Two points on the graph are:

(1, 0) and (3, 1)

The slope (m) is:

\(m = \frac{1 - 0}{3 - 1}\)

This gives

m = 0.5

The equation of the line is calculated as:

\(y = m(x -x_1) + y_1\)

So, we have;

\(y = 0.5(x -1) + 0\)

This gives

\(y = 0.5x -0.5\)

Multiply through by 2

\(2y = x - 1\)

Now, we convert the equation to an inequality.

The line on the graph is a dashed line. This means that the inequality is either > or <.

Also, the upper region of the graph that is shaded means that the inequality  is >.

So, the equation becomes

2y > x - 1

Rewrite as:

-x + 2y + 1 > 0

So, the linear inequality is: -x + 2y + 1 > 0

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Complete question

Find a linear inequality with the following solution set. Each grid line represents one unit. (Give your answer in the form ax+by+c>0 or ax+by+c \(\geq\) 0 where a, b, and c are integers with no common factor greater than 1.)

Package weight: 500 g ≈ 17.64 oz., Distance on road sign: 3 km ≈ 1.86 mi and Building height: 50 m ≈ 164.04 ft.

Weight of a Package:

Example: On a grocery store package, you may see the weight listed as 500 grams (500 g).

Conversion: To convert grams to ounces, we use the conversion factor 1 ounce = 28.35 grams. Thus, 500 g × 1 oz./28.35 g = 17.64 oz. (approximately).

Distance on Road Signs:

Example: On a road sign, you may see a distance listed as 3 kilometers (3 km).

Conversion: To convert kilometers to miles, we use the conversion factor 1 kilometer = 0.6214 miles. Thus, 3 km × 0.6214 mi/1 km = 1.8642 mi (approximately).

Height of a Building:

Example: On a construction site, you may see the height of a building listed as 50 meters (50 m).

Conversion: To convert meters to feet, we use the conversion factor 1 meter = 3.2808 feet. Thus, 50 m × 3.2808 ft./1 m = 164.04 ft. (approximately).

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Answer:

x=-3, and x=1

Step-by-step explanation:

To solve for x you must set y to 0, since the solutions for x only exist when y is zero (the x intercepts)

0=x^2+2x-3

There are a couple of ways you can solve this quadratic equation

- by factoring

- by completing the square

- by the quadratic formula

Factoring is the simplest option in this case

the product of two numbers equals -3

the sum of the two numbers is 2

You can tell that the two numbers are 3 and -1

Now, you can factor the equation

(x+3)(x-1)=0

So the solutions are x=-3, and x=1

Answer:

-1/4x-2

Step-by-step explanation:

Let's combine the like terms!

2 1/2 is equal to 5/2, so we can express the expression like this

(5/2x-11/4x)+(-7+5)

If we solve the first parentheses, we get 10/4x-11/4x=-1/4x

The second parentheses are obviously -2

Therefore, the answer is -1/4x-2.

Feel free to tell me if I did anything wrong! :)

Answer: x = 3

Step-by-step explanation: Plug g(x) in to get 11 = 3x+2. Do algebra and you get x = 3

Answer:

It is alternative A.

Step-by-step explanation:

That is from the look of things

The expression is equivalent to \(\sqrt[4]{24 x^6y/128 x^4y^5}\) is 1/2y \(\sqrt[4]{ 3x^2 }\).

A group of numbers or variables combined using operations constitutes an expression.

A group of terms coupled with the operations +, -, x, or form an expression.

We have Expression,

\(\sqrt[4]{24 x^6y/128 x^4y^5}\)

Now, simplifying the expression we get

As, 24 \(x^6y\) = 2 x 2 x 2 x 3 x (x . x .x .x .x .x ) y

128 = \(2^7\)

So,  \(\sqrt[4]{24 x^6y/128 x^4y^5}\)

=   \(\sqrt[4]{2^3.3 x^2/2^7 y^4}\)

= \(\sqrt[4]{ 3x^2/2^4 y^4}\)

= 1/y \(\sqrt[4]{ 3x^2/2^4 }\)

= 1/2y \(\sqrt[4]{ 3x^2 }\)

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Answer: Kylie did better in the second one than she did in the first one

Step-by-step explanation:

If you do 19 divided by 25 you will get 0.76 so she got a 76% on the first test. Then if you do 16 divided by 20 you will get 0.8 so she got a 80% on the second test.

Answer:

⁴root(9m²n/3n)

Step-by-step explanation:

just simplify the like terms

The answer is 42.25

I hope this is the answer you're looking for.

Answer:

42.25

Step-by-step explanation:

We can use the long division method to solve this.

\(\textrm{ } \ \ \ \ 42.25 \\9 \, \overline{\smash{)} \, 380.25}\\\text{ }\: \underline{ \text{- } 36}\\\text{ } \ \ \ \ 20\\\text{ } \ \ \underline{ \text{- } 18}\\\text{ } \ \ \ \ \, \ 2\, 2\\\text{ } \ \ \ \ \underline{ \text{- } 18}\\\text{ } \ \ \ \ \ \ \ \, 45\\\text{ } \ \ \ \ \ \, \underline{ \text{- } 45}\\\text{ } \ \ \ \ \ \ \ \ \ 0\)

Londell needs to deliver newspapers for 24 weeks to have enough money to buy the bicycle.

Londell currently has $40 saved, and he needs a total of $400 to buy the bicycle. Each week, he earns $15 delivering newspapers.

To calculate the number of weeks Londell needs to work, we can set up an equation:

$40 (current savings) + $15 (weekly earnings) × (number of weeks) = $400 (total cost of the bicycle)

Simplifying the equation:

$40 + $15 = $400

Subtracting $40 from both sides of the equation:

$15 = $400 - $40

$15 = $360

Dividing both sides of the equation by $15:

= $360 / $15

≈ 24

Therefore, Londell will have to deliver newspapers for approximately 24 weeks to have enough money to buy the bicycle.

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The length of the side AC for the triangle ABC is equal to 14.6 to the nearest tenth tenth using the sine rule.

The sine rule is a relationship between the size of an angle in a triangle and the opposing side.

Using the sine rule;

19/sin89° = AC/sin50°

AC = (19 × sin50°)/sin89° {cross multiplication}

AC = 14.5571

Therefore, the length of the side AC for the triangle ABC is equal to 14.6 to the nearest tenth tenth using the sine rule.

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a) The utility depends on both health (H) and consumption of other goods (X).

b) The coefficient is negative, indicating a negative relationship between two variables.

c) Health (H) is greater than zero, suggesting a positive value for health.

d) Health (H) is a function of a variable denoted as 'm'.

e) The variable 'm' is greater than zero and the coefficient is negative.

f) The product of two variables, 'm' and 'm', is negative.

a) The expression in (a) is reasonable as it acknowledges that utility is influenced by both health and consumption of other goods. It recognizes that happiness or satisfaction is derived not only from health but also from other aspects of life.

b) The expression in (b) suggests a negative coefficient and a negative relationship between the variables. This could imply that an increase in one variable leads to a decrease in the other. The reasonableness of this relationship would depend on the specific variables involved and the context of the theoretical framework.

c) The expression in (c) states that health (H) is greater than zero, which is reasonable as health is generally considered a positive attribute that contributes to well-being.

d) The expression in (d) indicates that health (H) is a function of a variable denoted as 'm'. The specific nature of the function or the relationship between 'm' and health is not provided, making it difficult to assess its reasonableness without further information.

e) The expression in (e) states that the variable 'm' is greater than zero and the coefficient is negative. This implies that an increase in 'm' leads to a decrease in some other variable. The reasonableness of this relationship depends on the specific variables involved and the theoretical context.

f) The expression in (f) suggests that the product of two variables, 'm' and 'm', is negative. This implies that either 'm' or 'm' (or both) are negative. The reasonableness of this expression would depend on the meaning and interpretation of the variables involved in the theoretical framework.

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Answer: -3+4 so he made a mistake so it would be -7



Step-by-step explanation:

The clinic should hire at least 7 doctors in order to serve 122 patients per day.

To determine how many doctors the clinic should hire in order to serve 122 patients per day, we need to calculate the number of patients each doctor can see within their working hours.

Let's start by calculating the total number of minutes each doctor works per day. Since each doctor works 8 hours per day and there are 60 minutes in an hour, the total minutes worked by a doctor per day would be 8 hours × 60 minutes = 480 minutes.

Next, we need to find out how many patients a doctor can see within their working hours. Given that each patient requires an average of 27 minutes with a doctor, the number of patients a doctor can see per day would be 480 minutes ÷ 27 minutes per patient = 17.7778 patients.

Since we can't have a fractional number of patients, we need to round this number up to the nearest whole number to ensure that each patient gets the required attention. Therefore, each doctor can see approximately 18 patients per day.

To serve 122 patients per day, we divide the total number of patients by the number of patients each doctor can see per day: 122 patients ÷ 18 patients per doctor = 6.7778 doctors.

Again, we can't have a fractional number of doctors, so we need to round this number up to the nearest whole number. Therefore, the clinic should hire at least 7 doctors to serve 122 patients per day.

In summary, the clinic should hire at least 7 doctors in order to serve 122 patients per day.

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Answer:

400 employees

Step-by-step explanation:

Let the total no. of employees be x

From the information we get that,

30% of x= 120

Hence, 30/100x=120

x=120×100/30

x=400

Answer:

512

Step-by-step explanation:

8 fish per day x 64 days

512 fish

If someone wants the product of two line segments to be represented as another line segment, they can make use of similar triangles

The correlation between the lengths of line segments can be established by creating a geometric shape comprising of two triangles that are identical and share one side.

If the legs of the triangles are used to represent the two line segments and their shared side represents the resulting line segment, it is possible for the lengths to be proportional through the similarity of the triangles.

To represent the product of the two original line segments, it is necessary to ensure that they and the resulting line segment are a collection of similar triangles. This is because the length of the resulting line segment can represent the product of the initial segments.

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-11, -6, -7 and -6.1 are the answers

The inequality is r lesser than or equal to -6

The 95% confidence interval estimate of the population mean, µ is (110.14, 125.86).

Given X = 118, o = 22, and n = 30, we can construct a 95% confidence interval estimate of the population mean, µ as follows: We use the formula to calculate the confidence interval.

Confidence interval = X ± Z (α/2) * (σ/√n)Here, X = 118 is the sample mean, o = 22 is the standard deviation of the sample, n = 30 is the sample size and α = 0.05 (for 95% confidence interval)Calculating the value of Z (α/2):Z (α/2) = Z (0.025) = 1.96 (using standard normal distribution table)

Calculating the value of σ/√n:σ/√n = 22/√30 ≈ 4.011Now, putting the values in the formula, we get Confidence interval = X ± Z (α/2) * (σ/√n) ⇒ 118 ± 1.96 * 4.011≈ 118 ± 7.86. Therefore, the 95% confidence interval estimate of the population mean, µ is (110.14, 125.86).

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(A) Let's find first the derivative of the function f(x), as follows:

To find the slope of the line tangent to f(x), we just input x = 5 on the f'(x) to solve f'(5), which is:

Hence, the slope of the tangent line is m = -20.

(B) The instantaneous rate of change is also the slope of the tangent line of the given function f(x). This means that it has the same value as part (A), which is f'(5) = -20.

(C) For the equation of the tangent line, let's look first at the tangent point. We can get this by substituting x = 5 on the equation f(x) and calculate:

Our tangent point is (5, -48). We then use the slope-intercept equation y = mx + b to generate the equation of the tangent line.

We already solved m which is equal to -20. The values of x and y are equal to the tangent point. What's left is to compute the value of b. We substitute the values of m, x, and y on y = mx + b to solve b, as follows:

Hence, the equation of the tangent line can now be written as:

Answers:

(A) m = -20

(B) f(5) = -20

(C) y = -20x + 58

Answer: The area is 6.5

The function which shows how much Jasmine earns (c) for working (h) hours is c-4.2h=0.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, One day, Jasmine earned $25.20 for 6 hours of work. Another day, she earned $16.80 for 4 hours of work.

Here, the coordinate points are (6, 25.20) and (4, 16.80)

Now, slope m=(16.80-25.20)/(4-6)

m= -8.4/(-2)

= 4.2

Jasmine earns (c) for working (h) hours

Let c=y and x=h

Substitute (x₀, y₀)=(6, 25.20)

(y-y₀)=m(x-x₀)

c-25.20=4.2(h-6)

c-25.20=4.2h-25.2

c-4.2h=0

Therefore, the function which shows how much Jasmine earns (c) for working (h) hours is c-4.2h=0.

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The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation: When she got to 14-4+3*4 she added 4+3 first instead of multiplying 3*4.

Answer:

here a link to your answer

Step-by-step explanation:

https://brainly.com/question/20419046

plus the answer is b

Answer:

3.14

Step-by-step explanation:

110/35=3.14

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In the given figure, Angle 3x forms linear pair with Angle 123°, so their sum measures 180°

that is :

value of x = 19°