A curve has equation x3 - 5x2 + 7x - 2dyDifferentiate the function to obtaindxa) Find the x coordinates of the points where = 0 and hence the coordinates of thed.xturning points on the curve.dyb) With the aid of a table consider the sign of on either side of the turning points,dxdetermine whether the turning points are maximum or minimum points.c) Sketch the curve showing the turning points clearly and label any other points ofinterest.

We are given the following inequality

Let us first solve the inequality for x.

Subtract 1 from both sides of the inequality

So the solution of the inequality is all the values of x less than 4

Now let us graph this solution on a number line.

Answer:

Given that,

To find,

where,

Simplifing f(x) and g(x), we get

This is the simplified form of f(x).

For g(x) we get,

Now To find R(x), we get

we get,

Answer is:

Answer:

which question you want to be answered

Answer:

[tex]\textsf{13.\;a)}\quad d=\dfrac{P}{0.5 \pi +1}[/tex]

[tex]\textsf{13.\;b)}\quad d=14\; \sf inches[/tex]

Step-by-step explanation:

The perimeter, P inches, of a semicircle of diameter, d inches, is represented by the equation:

[tex]\boxed{P=0.5 \pi d+d}[/tex]

Part (a)

To express d in terms of P, rearrange the equation to isolate d.

Factor out the common term d from the right side of the equation:

[tex]\implies P=d(0.5 \pi +1)[/tex]

Divide both sides by (0.5π + 1):

[tex]\implies \dfrac{P}{0.5 \pi +1}=\dfrac{d(0.5 \pi +1)}{0.5 \pi +1}[/tex]

[tex]\implies \dfrac{P}{0.5 \pi +1}=d[/tex]

[tex]\implies d=\dfrac{P}{0.5 \pi +1}[/tex]

Part (b)

Given:

Substitute the given values into the equation derived in part (a) and solve for d:

[tex]\implies d=\dfrac{36}{0.5 \left(\frac{22}{7}\right) +1}[/tex]

[tex]\implies d=\dfrac{36}{\frac{11}{7} +1}[/tex]

[tex]\implies d=\dfrac{36}{\frac{11}{7} +\frac{7}{7}}[/tex]

[tex]\implies d=\dfrac{36}{\frac{18}{7}}[/tex]

[tex]\implies d=36 \times \dfrac{7}{18}[/tex]

[tex]\implies d=\dfrac{252}{18}[/tex]

[tex]\implies d=14[/tex]

Therefore, the diameter is 14 inches.

3)

- 18/(- 6)

This can be written as

- 18/- 6

Recall, if a negative number divides a negative number, the result is positive. Thus, the answer is 3

The daily rate can be found by dividing the total number of books over the number of calendar days.

15,260 / 28 = 545

545 books per day

Given:

The given vertex of a rectangle ABCD are A=(-3,3), B=(5,3) and D=(-3,-1)

To find: Missing vertex, that means vertex C

The graph is as follows:

From the above graph, the coordinates of point C are (5,-1).

Hence, the required answer is (5,-1).

Step 1. We are given the vertex of the quadratic function:

And a point:

Required: Find the standard form of the quadratic equation.

Step 2. Since we know the vertex of the quadratic function we will start by using the vertex form of the quadratic function:

Where (h, k) is the vertex, in this case:

Step 3. To use the previous equation

We will need to find the value of a. For that, we substitute the h and k values:

And as the values of x and y, we substitute the values of the given point (2,4) where x=2 and y=4

Solving for a:

Step 4. Now that we know that the value of a is 2, we go back to our general equation:

Substitute the value of a, h, and k:

This is the equation in the vertex form, but we need it in standard form.

Step 5. The standard form of the quadratic function is:

To convert our equation into the standard form, first, we change y by f(x):

Then, we use this formula for the binomial squared:

The result is:

Simplifying:

That is the standard form of the quadratic function.

Answer:

Let the number of attendees be a.

ak=c , where k=constant of variation.

6k=30

k=30/6

k=5

Find a when c=$50

5a=50

a=50/5

a=10

There will be 10 attendees for a bu

Using the distributive property, the maximum number of players that can be in the NBA is; 450 players

The distributive property is a property of algebra that states that you can distribute the contents of one parentheses into another to find an answer. For example;

a(b + c) = ab + ac

Now, we are told that there are 30 teams in the national basketball association and that each team has 12 healthy players plus three on injured reserve. Thus;

Number of players on each team = (12 + 3)

Now, for the 30 teams;

Total number of players for the teams = 30(12 + 3)

Applying distributive property, we have;

(30*12 + 30*3) = 450

Read more about distributive property at; https://brainly.com/question/2807928

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Answer

-3x + 5(x + 2) = 2x + 10

Explanation

The way to find this equivalent is simply to solve the given expression.

-3x + 5(x + 2)

= -3x + 5x + 10

= 2x + 10

Hope this Helps!!!

The square root of 2 is irrational

Here, we want to check if the square root of 2 is rational or not

When we talk of rational numbers, we mean numbers that can be expressed as the ratio of two integers

Roots of non-perfect squares such as two are not rational. They are referred to as irrational numbers. The special name they are called is surd

Explanation

From the image, we can see that the radius of the cylinder is given as

The height of the cylinder is 40ft. Therefore, the volume of the cylinder is

Answer: 12560 cubic feet

the graph of this equation is:

Let us make part of the table corresponding to this graph

SOLUTIONS

What is the multiplicity of each of the roots of this graph?

Factorise f(x) by the options

(a) According to the option we have -3 is a root of so x+3 is a factor

(b) 1 is a root too so x - 1 is a factor

Therefore the correct answer = Option A

we have the following:

solving for x:

ANSWER and EXPLANATION

The recipe calls for 0.5 quart of milk and 2.5 cups of flour.

She has 3/8 quart of milk and 18/8 cups of flour.

To know the error she made, we have to find the ratio of milk to flour in the recipe and the ratio of milk to flour that she used and see if the ratios are the same.

RECIPE

Ratio of milk to flour is:

That is the ratio of milk to flour.

USED BY OLIVIA

Ratio of milk and flour that she used is:

We can already see that the ratios are not the same.

By comparing the ratios, we see that she actually used more flour than she was supposed to.

we have:

h = hour

the equation is

answer: 3 hours

ANSWER

EXPLANATION

Given;

Recall, the general formula for slope - intercept form is;

comparing the given equation with the standard slope intercept form formula;

Hence, the graph of the given equation is;

Answer:

To graph a line you have to find two points on the line, one way of doing this is first setting x=0 and solving for y, as follows:

With the above calculations, we got that the point (0,-1) is on the line.

Now, to find another point on the line we set y=0 and solve for x:

With the above calculations, we got that the point (-4/3,0) is on the line.

Once we have those points we draw the line that passes through those points.

The graph of the given equation is:

a For any relation to be a function, an independent variable x cannot produce different dependent varible y

From the table,

when x = 5, y = 2

Also, when x = 5, y = 5

and when x = 5, y = 7

We can see that x= 5 produces 3 different values of y ( that is 2, 5, and 7). This has disobeyed the rule of a function

Hence, the table is not a function

The answer is False

Question:

Solution:

Let the following trigonometric equation:

Subtract the root of 3 from both sides of the equation:

solve for sin(x):

Applying the trigonometric circle on the given interval, we obtain that the correct answer is:

Answer:

ok you can ask

Step-by-step explanation:

don't forget to follow rate like

Types of correlation:

Based on the types of correlation, we can see that the best description of the data given is a positive correlation.

Answer: A positive correlation.

To determine the name of the shape you have to count its sides.

If it has 3 sides is a triangle, if it has 4 sides is a quadrilateral, if it has 5 sides is a pentagon and if it has 6 sides is a hexagon,

The shape has 6 sides so it is a hexagon.

The I and II are linear function, so those have the same domain and the same range always. So the answer is B

Here we have the following parabola:

To find the vertex, we could use the following formula:

Where a, b and c are the coefficients of the quadratic function:

As you can see, in this problem a = -1 , b = -4 and c = -8. Thus,

This is:

Then, the vertex of the parabola is (-2,-4)

The axis of symmetry of the parabola is the line x=-2. Since the vertex is situated at the coordinates (-2,-4), that means that the parabola is symmetrical around this line.

The vertex is maximum point of the parabola.

The range, is defined as all the values that the y-axis could take. If we notice, that is:

I'm going to upload a picture of the parabola:

We have a 345 gallon hot tub that fills at a rate of 3.61 gallons/min.

To calculate filling time, we need to divide as it follows:

in that way we can find how much time does it take in minutes

now, if we want to determine time in hours, we must divide by 60, because there are 60 min. in one hour.

Then, it would take approximately 1.59 hours to fill the hot tub.

To find the distance between two points A and B you can use the formula

So, in this case, you have

Therefore, the distance between these points is 7 units.

Graphically,