Solve for x. (5x + 6)(3x - 6) = 0

The range of values that we are permitted to enter into our function is known as the domain of a function.The x values for a function like f make up this set (x).A function's range is the collection of values it can take as input.After we enter an x value, the function outputs this sequence of values.

What is the domain and range formula?

In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x).

Simply put, x=g(y) will calculate the function's range after we identify g's domain (y)

The image has four graphs.

Using set-builder notation or inequality notation, we must determine the scope and range of each function.

The range of values that we are permitted to pass into our function is known as the domain of a function.

The values of the x-axis for a function like f are contained in this collection (x).

This is the set of values that can be entered into a function.

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Answer:

25 miles per hour

Step-by-step explanation:

.5=12.5 and .5×2= 1

12.5×2=25

Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.

The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.

There are three types of equilibrium: stable, unstable, and neutral.

Examples of equilibrium in everyday life:

A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.

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Answer:

Benjamins cost this month would be $27.

The monthly cost for x slices of pizza would be x+20

Step-by-step explanation:

Simplifying the top:

(2* a^3 * b^5)^2 * (6ab)

4* a^6 *b^10 * (6ab)

24 *a^7 * b^11

so we have

(24 *a^7 * b^11) / (-3* a^5 *b)

immediately we can simplify 24 and -3

(-8 *a^7 * b^11) / ( a^5 *b)

a^7 and a^5 can cancel into just a^2

(-8 *a^2 * b^11) / (b)

b^11 and b cancels to b^10

-8 *a^2 * b^10

so that is your answer:

-8\(a^{2}\)\(b^{10}\)

The οnly sοlutiοn that satisfies the οriginal equatiοn is: x = 11/2.

A ratiοnal equatiοn is an equatiοn that invοlves οne οr mοre ratiοnal expressiοns. A ratiοnal expressiοn is a fractiοn in which the numeratοr and/οr denοminatοr is a pοlynοmial expressiοn.

The given ratiοnal equatiοn is:

5x/(x + 2) = 3x/(x - 1)

Tο sοlve fοr x, we can start by crοss-multiplying:

5x(x - 1) = 3x(x + 2)

Expanding bοth sides gives:

5x² - 5x = 3x² + 6x

Simplifying by mοving all the terms tο οne side gives:

2x² - 11x = 0

Factοring οut x gives:

x(2x - 11) = 0

Therefοre, the sοlutiοn is: x = 0 οr x = 11/2

Hοwever, we must check fοr extraneοus sοlutiοns by plugging these values back intο the οriginal equatiοn. We find that x = 0 is extraneοus, since it makes the denοminatοr οf the equatiοn undefined. Therefοre, the οnly sοlutiοn that satisfies the οriginal equatiοn is: x = 11/2.

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Answer:

y = 7/2x - 5/2 ; gradient is 7/2

y = 5/3x - 4/3 ; gradient is 5/3

y = -2/3x - 10/3; gradient is -2/3

Step-by-step explanation:

2y = 7x-5

5x - 3y=4

10 - 2x+3y = 0

NOTE: The gradient is the slope

Answer:

A

Step-by-step explanation:

do the exponents. (5 times 5)

then multiply 2 x 25

Answer:

the answer is A. 2 * 5^2

Step-by-step explanation:

Because 5^2 really means 5 * 5 which is 25 * 2 is 50

Hope this helps

Answer: -$480

Step-by-step explanation:

The revenue us P*x

now, when P = $40, we have:

X = 14400 - 3*40^2 = 9600

then the revenue is:

9600*$40 = $384000

now, the price increaces by $2 so the new equation is:

X = 14400 - 3*42^2 = 9108

The revenue is:

9109*$42 = $382536

You can see that the revenua is smaller than before.

Now, if we want to calculate the rate of change when p = $40, we need to look at X'(40)

this is:

X´(p) = -3*2*p

then:

X'(40) = -3*2*40 = -120

Theh rate of change of the revenua will be:

X'(40)*$40 = -120*$40 = -$480

Answer:

how do I get started here

True. In a probability​ model, the sum of the probabilities of all outcomes must equal 1.

This is incomplete question

Complete question is this:

True or False​: In a probability​ model, the sum of the probabilities of all outcomes must equal 1.

Answer in true or false.

Now, According to the question:

Let's know:

What is Probability Model?

A probability model is a mathematical representation of a random phenomenon. It is defined by its sample space, events within the sample space, and probabilities associated with each event. The sample space S for a probability model is the set of all possible outcomes.

Now, According to the above statement is:

Hence, True. In a probability​ model, the sum of the probabilities of all outcomes must equal 1.

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True. In a probability model, the sum of all outcomes' probabilities must equal 1.

Probability Model

A probability model is a mathematical model that represents a random phenomenon. Its sample space, events within the sample space, and probabilities associated with each event define it. A probability model's sample space S is the set of all possible outcomes.

As a result, the statement given here is true. In a probability model, the sum of all outcomes' probabilities must equal 1.

One advantage of using an explicit mathematical model rather than simply applying a set of rules to probability situations is that the intuitive approach to probability has significant limitations when analysing tricky or sophisticated phenomen.

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Answer:

1) greater than

2) less than

3) greater than

4)less than

5) greater than

6) greater than

Step-by-step explanation:

Answer:

x = -4, y = -3

Step-by-step explanation:

When you use graphing to solve a system of equations, the intersection point is the solution. Here, the coordinates of the intersection point or solution is: (-4, -3). Coordinates are mostly written like this: (x, y) Thus, the solution is:

(x, y)

(-4, -3)

x = -4

y = -3

Answer: The Answer is AB

Step-by-step explanation: I took the test

Answer:

The total number of pages in all the newspaper is 390,625 pages

Step-by-step explanation:

The number of pages in the newspaper = 25 pages

The number of schools ordering the newspaper = 25 schools

The number of class rooms in each school = 25 classrooms

The number of students in each classroom = 25 students

Therefore;

The total number of pages in all the newspaper = 25 pages per paper × 25 schools × 25 classroom per school × 25 students per classroom

The total number of pages in all the newspaper = 25 × 25 × 25 × 25 = 25⁴

The total number of pages in all the newspaper = 25⁴ = 390,625 pages

Answer:

c

Step-by-step explanation:

plot the y intercept, which is 2 at (0,2). Then use do rise/run, which is 1/2. go up one time, then to the right two times.

To find the measure of an angle in a triangle that is isosceles, you can use the fact that the two equal sides of the triangle are congruent to each other.  The measure of each of these angles can be found by subtracting the measure of the third angle from 180 degrees.

Determine which two sides of the triangle are equal in length (these are called the "congruent sides").

Find the measure of the angle opposite one of the congruent sides. This angle is called the "base angle."

Subtract the measure of the base angle from 180 degrees. This will give you the measure of the other two angles in the triangle (since the three angles in any triangle must add up to 180 degrees).

For example, if the measure of the base angle is x degrees, then the measure of the other two angles would be (180-x) degrees.

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The measure of angles in an isosceles triangle can be found using the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.

To find the measure of an angle in a triangle isosceles, you can use the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.

Let's look at an example. Suppose you have an isosceles triangle and you know that two of its angles measure 50 degrees and 60 degrees. To find the measure of the third angle, you would subtract 110 (the sum of the two known angles) from 180. This gives you 70 degrees as the measure of the third angle.

In addition to the Triangle Angle Sum Theorem, you can also use the Isosceles Triangle Theorem to find the measure of an angle in an isosceles triangle. The Isosceles Triangle Theorem states that the angles opposite the two equal sides of an isosceles triangle are equal. This means that if you know one of the angles in the triangle, you can determine the measure of the other two angles, since they will both be equal to the measure of the known angle.

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Answer:

1 yard per day

Step-by-step explanation:

Answer:

960 for volume, 423ft for surface area

Step-by-step explanation:

Answer: Option B

Step-by-step explanation:

Answer:

The answer, if it is addition, would be 4 + 4/5w

Step-by-step explanation:

Answer:

(x + 1)² = 4(y + 10)

Step-by-step explanation:

Equation of parabola:

(x - h)² = 4a(y - k)

with vertex(h, k) and focus (h, k + a)

vertex(h, k) = (-1, -10)

⇒h = -1 and k = -10

focus (h, k + a) = (-1, -9)

⇒ k + a = -9

⇒ -10 + a = -9

⇒ a = 10 - 9

⇒ a = 1

Equation of parabola:

(x - h)² = 4a(y - k):

(x - (-1))² = 4(1)(y - (-1))

= (x + 1)² = 4(y + 10)

To make a table of values for a linear relationship;

Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value

Given,

Linear relationship;

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.

Here,

We have to make a table of values for a linear relationship;

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Out of 400 band-aids, 200 were used yesterday. Therefore, the percentage of band-aids used yesterday is 50%.

You started with 4 boxes × 100 band-aids per box

= 400 band-aids.

You ended with 2 boxes × 100 band-aids per box

= 200 band-aids

So you used

400 band-aids - 200 band-aids = 200 band-aids yesterday.

To find the percentage of band-aids used, you can divide the number of band-aids used by the total number of band-aids you started with and multiply by 100:

= (200 band-aids / 400 band-aids) × 100

= (1/ 2) × 100

= 50%

Therefore, 50% of the band-aids were used yesterday.

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No , it is not possible to form a triangle with side lengths 3.5, 3.5, and 9 , because of the rule that sum of any two sides must be greater than other side. So, Option D is correct.

A triangle is a two-dimensional shape formed by three line segments connecting three points. In order to form a triangle, a necessary and sufficient condition is that the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the triangle inequality theorem.

If the sum of the lengths of any two sides is less than or equal to the length of the third side, then the three line segments will not be able to form a closed shape, and therefore cannot form a triangle.

In the case of the triangle with side lengths 3.5, 3.5, and 9, the sum of the lengths of the first two sides is 7, which is less than the length of the third side, 9. Hence, these three side lengths do not satisfy the triangle inequality theorem, and therefore cannot form a triangle.

In general, to determine the type of triangle that can be formed with three given side lengths, it is necessary to compare the lengths of the sides and check if any two sides are equal in length (isosceles), or if all three sides are equal in length (equilateral). If none of the sides are equal, then the triangle is called scalene.

In this case, since it is not possible to form a triangle with the given side lengths, it is not possible to determine the type of triangle that would be formed.

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Answer:

C. (5, -3)

Step-by-step explanation:

Ordered pair just means the coordinate or the point at which both of the graphs intersect. On the x-axis, this is at point 5, and on the y-axis, this is at point -3. Since an ordered pair is in the form (x, y), the answer is therefore C.

The solution to the set of graphical equations are P ( 5 , -3 )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y = -x + 2

y = x - 8

On simplifying , we get

-x + 2 = x - 8

Adding x on both sides , we get

2x - 8 = 2

Adding 8 on both sides , we get

2x = 10

Divide by 2 on both sides , we get

x = 5

So , the value of x = 5 and y = -3

Hence , the solution is the point of intersection of lines on the graph which is P ( 5 , -3 )

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Given data

The length of the square L = 25 in

Use the formula for the perimeter of a square below, to find the perimeter.

Use the formula for the area of a square below, to find the area.

Answer:

53lbs

Step-by-step explanation:

if he bought three bags of gravel that are 20 lbs. each then he would have 60 lbs. of gravel. In the end he only had 7 pounds left so you would subtract 7 from 60 and get 53 pounds.

7+x=60 or 60-7=53

i hope this helped!