If the parent function f(x) = |x| is transformed to g(x) = |x| + 4, what transformation occurs from f(x) to g(x)?.

y = kx, where k is the variational constant

We just refer to "k" as a dummy variable. It doesn't really matter whatever variable you choose for this kind of generic form as long as you declare that "k" or "z" or "c" is a constant with precise constraints as necessary. By dividing the y-coordinate by the x-coordinate, we can calculate k when given any position because it is constant (the same for every point). For direct variation, we employ the following equation. y=kx The proportionality constant in this case is k. It will be an integer that connects the two variables. So we can say that K is constant of variation.

To learn more about Proportionality constant :

https://brainly.com/question/29082140

#SPJ4

At the instant when the volume of the sphere is 6161 cm³, the rate of change of the surface area of the sphere is 68.5 cm² per minute.

The formula for the volume of the square is:

V = 4/3 πr³

Take the derivative with respect to t (time):

dV/dt = 4 πr² dr/dt

At an instant, the volume of the square is 6161 cm³

6161  = 4/3 πr³

r³ = (3/4) x 6161 / π = 1,470

r = 11.37 cm

dV/dt = 4 πr² dr/dt

399 = 4 π (11.37)² dr/dt

dr/dt = 0.24 cm/minute

The surface area of a sphere is:

A = 4 πr²

dA/dt =  8 πr dr/dt

          = 8 π (11.37) (0.24) = 68.5

Hence, the rate of change of the surface area of the sphere is 68.5 cm² per minute.

Learn more about rate of change here:

https://brainly.com/question/22716418

#SPJ4

More types of calculations can be performed with data at the nominal level than with data at the interval level.

It is false.

Now, According to the question:

Interval Level of Data Set:

The Interval level of data is a type of data where we have a well-defined ranking and also the difference between Intervals is well defined, however, due to the lack of a proper starting point which is also known as the absolute zero, we cannot find the ratio between two data points. Many examples of the Interval Data set exist such as the temperature scale where we do not have an absolute zero (theoretically the temperature can go infinitely down).

Now, According to the above statement :

More types of calculations can be performed with data at the nominal level than with data at the interval level.

This is false.

Learn more about Interval level at:

https://brainly.com/question/30265803

#SPJ4

This expression gives the solutions to quadratic equationx^2+4=3x.

A quadratic equation is an equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and x is an unknown variable. It is most commonly used to solve for the unknown variable in terms of the given constants. The solutions to a quadratic equation can be found using the quadratic formula.

This equation is a quadratic equation, which is an equation that can be expressed in the form ax2 + bx + c = 0, where a, b and c are constants and x is an unknown variable. In this case, a = 1, b = 4 and c = 0, so the equation can be written as x2 + 4x = 0. Solving this equation gives the solutions x = 0 and x = -4.

To know more about quadratic equation click-
https://brainly.com/question/1214333
#SPJ1

Each circle has a weight of 6.25.

A circle is a shape consisting of all points in a plane that are a given distance from a given point, the center. The distance from the center to any point on the circle is known as the radius. A circle has no sides or corners, and all points along the circle are equidistant from the center.

The weight of each circle can be found by dividing 25 (the total weight) by 4 (the number of circles). Therefore, each circle has a weight of 6.25.

To know more about circle click-
https://brainly.com/question/27961297
#SPJ1

The distance between F and G is 4.6

The midpoint between F and G is -0.7.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

Point F is at -3.

Point G is at 1.6.

Now,

The distance between F and G.

= 1.6 - (-3)

= 1.6 + 3

= 4.6

Now,

The midpoint between F and G.

There are 4.6 points between F and G.

So,

4.6/2 = 2.3

Midpoint.

=-3 + 2.3

= -0.7

Thus,

The distance is 4.6

The midpoint is -0.7.

Learn more about number line here:

https://brainly.com/question/13425491

#SPJ1

h(x)= 19-10/x

that's finding the inverse

The Pythagorean theorem states that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse.

This means that for a right triangle, the side lengths must satisfy the equation a^2 + b^2 = c^2, where a, b, and c are the three sides.

For example, in option a, the sides 8 cm, 15 cm and 17 cm can form a right triangle. We can calculate the equation to see if it satisfies the Pythagorean theorem: 82 + 152 = 272 and 172 = 289. Since 272 = 289, the equation is true, and the three sides can form a right triangle.

For option b, the sides 3 cm, 3 cm and 9 cm cannot form a right triangle. We can calculate the equation to see if it satisfies the Pythagorean theorem: 32 + 32 = 9 and 92 = 81. Since 9 ≠ 81, the equation is false, and the three sides cannot form a right triangle.

For option c, the sides 2.5 cm, 6.5 cm and 6 cm can form a right triangle. We can calculate the equation to see if it satisfies the Pythagorean theorem: (2.5)2 + (6.5)2 = 36.25 and 62 = 36. Since 36.25 = 36, the equation is true, and the three sides can form a right triangle.

For option d, the sides 16 cm, 30 cm and 34 cm can form a right triangle. We can calculate the equation to see if it satisfies the Pythagorean theorem: 162 + 302 = 576 and 342 = 1156. Since 576 = 1156, the equation is true, and the three sides can form a right triangle.

Learn more about Pythagorean theorem here:

https://brainly.com/question/14930619



#SPJ4

Answer: If the function is F(x) = 1/3(6)x, then for x = 3, we can substitute 3 in for x in the function to find the corresponding output value.

So,

F(3) = 1/3(6)(3)

F(3) = 2

Therefore, the output value of the function F(x) for x = 3 is 2.

Step-by-step explanation:

The formula used to represent the vertical line is given by x = k where 'k' is any constant value.

As given in the question,

Therefore, the formula which represent the vertical line is equal to x = k where 'k' represents x-intercept.

Learn more about vertical line here

brainly.com/question/13425491

#SPJ4

The y coordinate of each given point indicates how far it is from the x-axis, thus we may deduce that the distance of the point (-4, 3) from the y-axis is 3 units.

Measuring the distance between two objects or points can sometimes be done statistically and other times qualitatively.

In physics, the term "distance" can refer to a length in the real world or, more usually, to an estimate based on a variety of other criteria.

The distance between any two points on a plane is given by the length of the line segment connecting those points.

The formula d=(((x2 - x1)2 + (y2 - y1)2) is typically used to determine the distance between two locations.

So, we have the points as follows:

(-4, 3)

We can infer that the distance of the point (-4, 3) from the y-axis is 3 because the y coordinate of each given point specifies how distant it is from the x-axis.

Therefore, the y coordinate of each given point indicates how far it is from the x-axis, thus we may deduce that the distance of the point (-4, 3) from the y-axis is 3 units.

Know more about distance here:

brainly.com/question/26550516

#SPJ4

When the discriminant of a quadratic equation is greater than , it has real and distinct roots.

A quadratic equation is one using the formula ax^2 + bx + c = 0, where a = 0. The discriminant for the quadratic equation ax^2 + bx + c = 0 is the expression b^2 - 4ac. The discriminant value indicates how many roots f(x) has: - The quadratic function has two unique real roots if b^2 - 4ac > 0.

If any two of its roots are not equal and are from the set of real numbers. They are thought to be separate true roots.

If an equation has real roots, the solutions or roots of the equation are part of the set of real numbers. If the equation has separate roots, the solutions or roots are not equal.

For more questions on Quadratic Equation

https://brainly.com/question/1214333

#SPJ4

Answer:

x = 93°

Step-by-step explanation:

The angles on a triangle always add up to 180°.

We only know two of the angles: 35° and 58°, to find the third, we need to add those two up and subtract them from 180 like so:

180-(35+58)

which then equals:

87°

Now, a line is 180° so substract 87° from 180° and you get 93°

x = 93°

All you actually had to do was add 35 and 58 to get the answer but for the purpose of showing you how exactly everything works I did some extra steps.

The integers {6, 10} satisfies the inequality.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given set of integers are {−3, 3, 6, 10}

Inequaltiy is  2(j − 7) > 2(5 − 3j)

Let us simplify the inequality

2j-14>10-6j

2j+6j>10+14

8j>24

j>3

It means that numbers greater than 3 will satisfy the given inequality.

Numbers greater than 3 in the given set are 6,10.

Hence, the integers {6, 10} satisfies the inequality.

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ1

Answer:

6/10 {6, 10}

Step-by-step explanation:

The number of pounds of trail mix that Anthony bought 4.25 pounds of trail mix.

Trail mix is a snack food that typically contains a combination of dried fruit, nuts, and sometimes chocolate or other sweets. It's a popular snack for hikers and outdoor enthusiasts because it's lightweight, easy to pack, and provides a good source of energy.

The number of trail mix can be realized as 4.25 pounds of trail mix by dividing the total cost of the trail mix ($7.45) by the cost per pound ($1.75).

7.45 / 1.75 = 4.25

You can also think of it as Anthony spent $1.75 for each pound of trail mix and he spent $7.45. So you can find out how many pounds of trail mix he has by dividing the $7.45 by $1.75.

Learn more about solving for a quantity using a known cost and unit price here: https://brainly.com/question/205480

#SPJ4

The fraction of all the cookie is peanut butter is 5/12

From the question, we have the following parameters that can be used in our computation:

Cookies = 1/4

Chocolate = 1/3

This means that

Peanut = 1 - 1/4 - 1/3

Evaluate

Peanut = 5/12

Hence, the fraction is 5/12

Read more about fraction at

https://brainly.com/question/1622425

#SPJ1

The degree of the polynomial 4 4x 4x³ is 3.

The degree of a polynomial is the highest degree of the terms that make up the polynomial. In this case, the highest degree is 3, which is the degree of the term 4x³. Therefore, the degree of the polynomial is 3.

The degree of a polynomial is a measure of its complexity and is determined by the highest degree of the terms that make up the polynomial. In this case, the polynomial consists of three terms: 4, 4x and 4x³. The highest degree of these terms is 3, which is the degree of the term 4x³. Therefore, the degree of the polynomial 4 4x 4x³ is 3. This means that it is a third degree polynomial, and the highest power of the variable is 3. By understanding the degree of the polynomial, we can easily determine the complexity of the polynomial and the degree of accuracy it can achieve in describing a certain phenomenon.

learn more about polynomial here

https://brainly.com/question/11536910

#SPJ4

[tex]\it \dfrac{p}{100}\cdot75=45\bigg|_{\cdot100} \Rightarrow p\cdot75=4500\bigg|_{:75} \Rightarrow p=60\\ \\ So\ 60\%\ of\ students\ have\ music\ .[/tex]

Answer: Let x be the number of hours the dune buggy is rented for. We know that the cost of the rental is $150 or less, and that the rental is for 2 or more hours.

We know that the cost of the rental is $30 less than the regular price, so we can set up the inequality as follows:

30 + 30x <= 150

Simplifying:

30x <= 120

x <= 120/30

x <= 4

So the solution to the inequality is x <= 4. This means that Tracie can rent the dune buggy for 4 hours or less and spend at most $150, using the coupon.

The graph of the solution will be a line with a slope of 0 and y-intercept at 4, and the solution set is x≤4.

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 : 18 = 1 : 6Then multiplying both the sides by 7 we get 7 : 42

Answer: 1:6

Step-by-step explanation: you divide 3 by 3 and 18 by 3

To find the inverse of y = 5(z - 2)^2 + 1, we need to switch the roles of x and y, and then solve for x in terms of y.

What is the meaning of inverse function?

A function that reverses the effects of another function is known as an inverse function. A function g is the inverse of a function f where y=f(x) and x=g (y). In other words, applying f and then g is comparable to doing nothing. This can be stated in terms of the relationship between f and g as g(f(x))=x.

Step 1: Switch the roles of x and y:

y = 5(z - 2)^2 + 1

Step 2: Solve for x in terms of y:

z = sqrt((y - 1)/5) + 2

Note: The inverse function of a function is not always a function so it's important to check the domain restriction of the original function.

Learn more about inverse function

https://brainly.com/question/3831584

#SPJ1

The point (x, y) is the reflection of the line y is x across the point (x, y) (y, x). The point (x, y) is the reflection of the line y is-x across the point (x, y) (-y, -x).

The point (x, y) is the reflection of the line y=x across the point (x, y) (y, x). The point (x, y) is the reflection of the line y=-x across the point (x, y) (-y, -x).

The x-coordinates stay the same when a point is reflected across the X-axis. However, the Y-coordinates are changed into the corresponding signs. As a result, the point's (x, y) reflection across the X-axis is (x, -y).

The point (x, y) is the reflection of the line y=x across the point (x, y) (y, x). The point (x, y) is the reflection of the line y=-x across the point (x, y) (-y, -x).

To learn more about reflection points refer to:

https://brainly.com/question/26642069

#SPJ1

The area of this circle is equal to 363 cm².

In Mathematics and Geometry, the area of a circle can be calculated by using this formula:

Area = πr²

Where:

r represents the radius of a circle.

Note: Radius = diameter/2 = 22/2 = 11 centimeters.

By substituting the radius into the formula for the area of a circle, we have the following;

Area of circle = 3 × 11²

Area of circle = 363 square centimeters.

Read more on area of circle here: brainly.com/question/15531597

#SPJ1

Answer:

Area of circle = 363 cm²

Step-by-step explanation:

Given dimensions,

→ Diameter = 22 cm

→ Radius = 22/2 = 11 cm

Now we have to,

→ Find the area of the given circle.

Formula we use,

→ Area of circle = πr²

The given value of π is,

→ π = 3

Then the area of circle will be,

→ A = πr²

→ A = 3 × (11)²

→ A = 3 × 121

→ A = 363 cm²

Hence, the area is 363 cm².

It would take a car 5 hours to cover 200 km at a speed of 40 km/h.

The car moves for a time period of 5 hours.

The car has to travel a total distance of 200 km.

As we know the formula of speed is distance/time,

Hence, s = d/t km/hr

Let speed, distance and time be s, d, t respectively.

So by putting the values,

speed s = 200/5 = 40 km/hr.

Hence it can be said that the car would cover 200 km at the speed of 40 km/hr in 5 hours.

To learn more about speed visit: brainly.com/question/7359669

#SPJ4

In order to rent her equipment from the resort each day she skis, she needs at least six days before the end of the season.

A linear equation is one that satisfies the algebraic formula y=mx+b. The foregoing sentence is sometimes referred to as a "linear equation with two variables" because y and x are variables. Bivariate linear equations are two-variable linear equations. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. An equation is said to be linear if its formula is y=mx+b, where m denotes the slope and b the y-intercept. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

given

Skiing day pass price in dollars is equal to 68d plus 20d.

When is a season pass less expensive (cost of skiing season pass = 400 + 20d)

400 + 20d minus three 20d = 68d + 20d

Divide 400 by 68 to get d = 5.882352941 when 68d > 400.

In order to rent her equipment from the resort each day she skis, she needs at least six days before the end of the season.

To know more about linear equation visit:

https://brainly.com/question/11897796

#SPJ1

To factor an equation with 3 terms, you can use the method of grouping.

Here are the general steps of grouping:

Write the equation in standard form (ax² + bx + c = 0)

Divide all terms by the coefficient of the x² term (a)

Rearrange the equation to the form (x² + b/ax + c/a = 0)

Split x term into such that product of coefficient of the two terms will be equal to c/a.

Group the first two terms and the last two terms

Factor the common factor out of the first two terms and the last two terms

Write the equation in the form (a(x+p)(x+q) = 0)

For example, to factor the equation 3x² + 7x - 10 = 0, the steps would be:

3x² + 7x - 10 = 0 (already in standard form)

x² + (7/3)x - (10/3) = 0

x² + (10/3)x - x - (10/3) = 0

(x² + (10/3)x) + (- x - (10/3))  = 0

x(x + 10/3) - ( x + 10/3)  = 0

(x + 10/3)(x - 1) = 0

3(x + 10/3)(x - 1) = 0

This equation can be factored as 3(x + 10/3)(x - 1) = 0

To know more on grouping

https://brainly.com/question/29289389

#SPJ4

a. The graph has one solution (10,300) when Elizabeth and Jayden meet after 10 minutes and at 300 stairs.

b. The graph has no solution as there is no intersection point and Robert and Meido do not meet at any point.

What is the intersection point?

Two lines are said to intersect when they have exactly one point in common. There is a point at which the intersecting lines meet. The point of intersection is the same location that appears on all intersecting lines.

a. Since both the lines intersect at single point The given system has one solution, which is at (10,300). The solution means that Elizabeth and Jayden meet after 10 minutes and at 300 stairs.

b. Since both the lines do not intersect at any point . The given system has no solution, as both the lines are parallel. The solution means Robert and Meido do not meet at any point.

To learn more about intersection point from the given link

https://brainly.com/question/27893140

#SPJ1

The answer is Ratio level. A researcher goes from location to location around the city counting the number of trees in each lot. these numbers most likely represent ratio level of data.

Ratio level is the highest of the four hierarchical levels of measurement. Measurement levels or scales indicate how accurately data is recorded. The higher the level, the more complex the measurement.

The coefficient level contains all functionalities of the other 3 levels. At the ratio level, values can be categorised, ordered, have equal intervals and take on a true zero.

To learn about Ratio level:

brainly.com/question/13267344

#SPJ4

The area of the sandbox section is 286.4 square feet.

Given that the area of the sandbox and playground together is 1675 square feet.

Let A represents the area of the sandbox section.

It is 100 square feet more than 4. 5 times the area of the sandbox section.

So, we get an expression for the area of the playground section:(100 +4.5A).

Then the total area would be,

A + (100 + 4.5A) = 1675

We solve above equation for A.

A + 4.5A = 1575

5.5A = 1575

A = 1575/5.5

A = 286.4

Thus, the area of the sandbox section is about 286.4 square feet.

Learn more about an expression here:

https://brainly.com/question/30091997

#SPJ4

Answer: The inequality that shows the minimum number of hours, n, that Ricky should work as a babysitter to earn enough to buy the jacket is 15 + 5n ≥ 45, so n ≥ 6.

This inequality states that Ricky's current savings of $15 plus the amount he earns from babysitting (5n) must be greater than or equal to the cost of the jacket, which is $45. To find the minimum number of hours he needs to work, we set the left side of the inequality equal to $45 and solve for n. 15 + 5n = 45, so n = 6.

Step-by-step explanation: